PSD Occasional Paper No. 9      September 1995
Enterprise Training in
Developing Countries
Overview of Incidence, Determinants,
and Productivity Outcomes
Hong W. Tan and Geeta Batra
IM    The World Bank
L     Private Sector Development Department






Private Sector Development Department
Occasional Paper No. 9
Enterprise Training in Developing Countries:
Overview of Incidence, Determinants,
and Productivity Outcomes
Hong W. Tan and Geeta Batra
September 1995
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The World Bank
Private Sector Development Department



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Contents
Abstract .....v
1. Introduction .
2. Data and Overview                                .3
Enterprise Training Information                    .4
Overview of Enterprise Training ..............................,,.,,,.,,.,. ,,.6
Key Variables and Some Hypotheses                    .9
3.  Determinants of Enterprise Training .13
Firm Size .14
Education and Skill Mx .15
The Firm's Technology .                                                   16
Exports and Foreign Ownership ..........................18
Automation and Quality Control ..................................,.,.,.19
Female Labor and Unionization .....................                       20
4.  Training and Firm-Level Productivity .23
Productivity Impact of Any Formal Training .24
A Simple Correction for Self-Selection .27
Training Effects by Skill Group and by Training Source .27
5.  Conclusions and Policy Implications .33
References ........ 35
Annex Tables .........                                                           37
iii



Al



Abstract
Unique firm-level data from five developing countries -- Colombia, Indonesia,
Malaysia, Mexico, and Taiwan, China -- were assembled to provide a first look at the incidence,
determinants, and productivity outcomes of enterprise training in developing countries. Several
common training determinants were identified in our cross-national analysis. Firms are more
likely to train when they are large, employ an educated and skilled workforce, invest in R&D and
technology licenses, emphasize quality control methods, have foreign capital participation, and
export to foreign markets. The production function analyses provided strong evidence of the
productivity enhancing effects of training.  A large and significant impact of training on
productivity was found for skilled workers but not unskilled workers, and for inhouse formal
training as compared with external sources of training.
v



IA



1
Introduction
1.1         There is broad agreement that human capital, defined to include both education
and postschool training, contributes to economic growth through raising the productivity of
workers and facilitating the adoption and use of new technologies. Support for this view is found
in three lines of research--on human capital and productivity, on technology and innovation, and
on models of endogenous growth. In theory, both education and training are thought to be
important; in practice, however, studies in these three research traditions have tended to focus on
the role of educational attainrnent, which is more readily measured than training.
1.2         The evidence on the links between education, technology, and productivity is
strong. In the technology literature, microeconomic case studies have identified the critical role of
educated workers in the innovative process (Setzer, 1974; Carnoy, 1990; Pack, 1992), and
industry-level studies have found more recent vintages of capital (or technology) to be
complementary with the education of the workforce (Bartel and Lichtenberg, 1987). A large
body of human capital studies, principally using developed country data, have also shown that
educated farmers and workers are more productive in a rapidly changing environment, and thus
earn higher incomes (Welch, 1970; Tan, 1980; Mincer, 1989). Finally, studies of endogenous
growth, which stress the importance of purposive human capital investments as the driver of
economic growth (Lucas, 1988; Romer, 1989), show that schooling enrollment rates are
important explanators of aggregate differences in growth across countries.
1.3         Much less is known about training and its effects on productivity. There is a body
of training research based on individual responses to training questions in worker-level surveys;
they show that the likelihood of training, and their returns as reflected in wages, are higher in
industries characterized by rapid technological change, especially for the most educated workers
(Lillard and Tan, 1992; Tan et al, 1992). However, since firm size and industry are often the only
information available on firms, little is known about the employer's role in training, or training's
effects on firm-level productivity, which must be inferred indirectly from wages. Training
research using firm data is more limited. Exceptions are two studies by Bartel (1991, 1992), one
using a sample of publicly traded U.S. firms to investigate the impact of training on a simple
measure of output, the other using employee data from one American company. They indicate
that training has a positive impact on output, wage growth and job performance.
1.4         Thus, large gaps exist in our knowledge about training--its incidence among firms
and in the workforce, its determinants, and its consequences for firm-level productivity and
economic growth. Recognizing this, a number of industrialized countries within the OECD have
I



2  Enterprise Training in Developing Countries
begun to systematically assemble existing employee and firm-level surveys with training
information, and design survey instruments to collect data on training and workplace practices.
No comparable effort is underway in developing countries, where the paucity of training
information is perhaps most acute and the need for such data is greatest.
1.5         In many developing countries, policymakers make critical resource allocation
decisions and design education and training policies in the absence of reliable training data. Often,
the only data available to them are on the supply of graduates from public vocational-technical
institutes and government training centers. As such, training policies developed in these countries
tend to be very supply oriented--a policy response to perceived skill shortfalls is often to expand
supply capacity of vocational-technical institutions; manpower planning is often also based on
simple extrapolations of past trends in skill supply. By failing to recognize that skill requirements
can change with shifts in demand, evolving patterns of international competition, and new
technology, these supply oriented policies often result in mismatches between skills supplied by
public training institutions and those needed by industry.
1.6         When training is provided or sponsored by employers, the issue of matching
training supply and demand does not arise. Firms train only for needed skills. And because most
new technologies enter developing countries through enterprises, employers have the equipment
and technical information needed to determine what skills are needed. Furthermore, in most
countries, the largest share of training is provided by employers during employment, either
inhouse or from external training institutions, equipment suppliers and buyers, industry groups,
and joint-venture partners. To the extent that enterprises can be encouraged to train, they offer
an important means to expand the resources available for skills development in the country
1.7         In this paper, we assemble a unique set of firm-level data from Colombia,
Indonesia, Malaysia, Mexico and Taiwan, China to provide a first look at the incidence,
determinants, and productivity outcomes of enterprise training in developing countries. These
firm-level surveys are unique in providing not only a wealth of production data, but also detailed
information about employers, their workers, technology used, and most importantly, investments
in training. For all countries, except Taiwan which only reported training expenditures, firms
provided information on both informal and formal training, and numbers trained by source and by
broad occupational groups. Firms in all countries also reported expenditures on R&D and
technology licenses, which allows us to address the question of how skills and training
requirements are affected by the use of new technology. Finally, the production data enables us
to estimate the effects of training on firm-level productivity within a production function
framework.
1.8         In Section II, we describe the firm-level surveys and use them to provide a broad
overview of enterprise training in the five developing countries. We also describe key variables
contained in the surveys, and how they might shape employers' incentives to train. These
potentially important training determinants are analyzed in Section III. This is followed, in
Section IV, by production function analyses of the impact of training on firm-level productivity in
which a variety of training measures are used. Section V summarizes the cross-country results
and draws out their policy implications.



2
Data and Overview
2.1            We have assembled a unique set of firm-level data to look at training in five
developing countries--Colombia, Indonesia, Malaysia, Mexico, and Taiwan, China.'2 These
datasets were developed as part of a World Bank study on "Enterprise Training Strategies and
Productivity".    Three  countries--Colombia,  Indonesia,  and  Malaysia--fielded  surveys  of
manufacturing firms using a survey instrument designed by the World Bank project team. A
fourth country, Mexico, used a survey instrument developed jointly by the Secretariat of Labor
and Social Welfare and the ILO, with input from the World Bank team to ensure comparability
with the other country surveys. Taiwan, China was included in this sample because key training,
technology, and production data were elicited in the 1986 Census of Manufacturing. It was also
attractive both for its large sample size and to serve as a benchmark for the other developing
countries.
2.2            Each country's survey of manufacturing firms has unique features. The Colombia
survey, conducted in 1993 by SENA (the national training agency), includes 500 firms drawn
from the five principal cities in the country. It is a random sample stratified by firm size, with
larger firms over-sampled relative to the population. The Indonesia survey of 300 firns was
fielded in 1993 as part of a World Bank project, and it surveyed primarily larger firms in three
provinces. The Malaysia survey of 2,200 firms was fielded in 1995 as part of a World Bank-
UNDP funded study for the Government of Malaysia. Though nationally representative, the
survey over-sampled larger firms. The Mexico survey is a nationally representative, stratified (by
size) random sample of 5,072 firms, and it was surveyed in 1993 under the direction of the
Secretariat of Labor and Social Welfare. The Taiwan sample of 56,047 firms is drawn from the
1986 Manufacturing Census, and it includes the universe of firms in nine two-digit industries.
' We acknowledge Amy Hwang (Academia Sinica) for providing the Taiwan data; the Secretariat of Labor and Social Security
(Mexico) for providing the Mexican data; the Economic Planning Unit, Government of Malaysia, for providing the Malaysia
data; SENA, the National Training Agency, for the Colombia data; and the Indonesia department of the World Bank for
providing the Indonesia data.
2 The data on Taiwan includes nine industries-textiles, clothing, paper/publishing, chemicals, plastics, iron & steel, machinery,
electric/electronics and transport equipment. In 1986, these nine industries accounted for 63 percent of total manufacturing
output, 66 percent of total employment in manufacturing, 71 percent of total exports, and 71 percent of total expenditures on
R&D, knowhow purchases, and training.
3



4   Enterprise Training in Developing Countries
Enterprise Training Information
2.3            The five surveys contain a wealth of information about employer provided or
sponsored training.3 We first describe the training data, highlighting similarities and differences in
the kinds of training information elicited in each country, and then use these data to provide an
overview of the broad patterns of enterprise training in the five economies.
2.4            All country surveys, with the exception of Taiwan, elicited information on informal
training, formal structured training, the sources and types of training provided, and the number of
workers trained. In Taiwan, firms were only asked to report their training expenditures; our
assumption is that these expenditures cover primarily formal structured training. In the other
country surveys, respondents were either asked about whether informal on-the-job training was
provided by co-workers and supervisors (Colombia and Malaysia), or how many workers
received informal training (Mexico and Indonesia). Substantially more information was obtained
on formal structured training. Typically, respondents were asked to report the number of workers
getting formal training over the past year, by broad occupational group and by source of training.
2.5            The occupational breakdowns permit two kinds of skill distinctions. The first is
one based on "white-collar" occupations versus "blue-collar" occupations, for short, non-
production versus production workers. Most studies use the proportion of non-production
workers as a crude proxy variable for skills. The second is based on a distinction between
occupations that might be thought of as being "skilled"--such as managers and directors,
professionals, engineers, technicians, craftsmen, and skilled production workers--and those that
are "unskilled"--such as "other" administrative and unskilled production workers. The latter
definition of skills is used in Colombia, Indonesia, and Mexico; in Taiwan and Malaysia, we rely
on the crude definition of skills.4
2.6            Information on various sources of formal training was elicited in four countries,
except Taiwan. First, all four surveys distinguished between formal training provided inhouse by
the employer, and formal training obtained in external training institutions. Second, the surveys
for Colombia, Indonesia, and Malaysia elicited information on the numbers trained in a wide range
of external providers. While there are obvious variations in these external sources across
countries--for example, Colombia's public training agency SENA, which is funded by a payroll
levy, or Malaysia's public industrial training institutes (ITIs)--they can be broadly grouped into
five external training sources: (1) universities and colleges, (2) government-run training centers,
(3) industry associations, (4) equipment suppliers and buyers, and (5) private training institutes
3 In this paper, we focus on a relatively small (but key) sub-set of the training information elicited. Other variables include
presence of a company training school, numbers of instructors, hours of training, estimates of training expenditures,
respondent's perceptions of training deficiencies, and use of different training incentives. These variables will be investigated
further in future work.
4 In Malaysia, this was necessary because external training was only reported by non-production and production occupations.



Data and Overview 5
and other unspecified sources. In Mexico, firms reported the total numbers trained externally but
did not provide details on where they were trained.5
2.7            Table 1 summarizes the main training variables and countries to which they are
applicable. First, for all countries except Taiwan, we can define an indicator variable for informal
on-the-job training. We will note its incidence, but will not include informal training in the
analyses. Second, for all countries, we can construct an indicator variable for whether the
employer provides any formal training, either inhouse or from external sources. We will refer to
this as "any training". Third, for four countries, we can distinguish between whether formal
training is provided by the employer within the firm's premises (termed "inhouse training") or
whether training is provided by external training institutions (termed "external training").6 Fourth,
for these same four countries, we can construct measures of training intensity by skill group and
by inhouse versus external training. Here, in place of the simple indicator variable, training is
measured by the number of workers trained as a proportion of the relevant worker group. Finally,
for three countries, we can define these training intensity measures for five external sources of
training.
Table 1: Training Variables in the Five Surveys
Country Surveys                    Training Variables
COL, IND, MAL, MEX                 Any informal training by coworkers & supervisors
COL, IND, MAL, MEX, TAI'           Any formal structured training, provided by inhouse trainers or by
external trainers
COLb, IND, MAL, MEXC               Any inhouse formal training versus any external formal training
COLb, IND, MAL, MEXC               Any formal training for skilled workers versus unskilled workers
COLb, IND, MAL, MEXC               Training intensityd by skilled vs unskilled groups and by inhouse vs
external training
COL, IND, MAL                      Any external training by source of training
Notes:
COL = Colombia, IND = Indonesia, MAL  Malaysia, MEX = Mexico, TAI = Taiwan, China.
': Only expenditures on (presumably) formal training reported.
b: Combines training provided by external trainers on the premises or in external institutions.
c: External training sources not identified, except in a separate questionnaire where respondents could identify one principal
external source of training, if used at all.
d: Number trained by skill group or source as a proportion of relevant occupational group.
5 Qualitative information on external training was elicited in a separate questionnaire. Firms were asked whether they used
any external training providers, and if so, they were asked to identify the one principal source.
6 In Colombia, a distinction was made between training provided within the firm's premises by external trainers, and training
outside the firm in external training institutions. In the paper, we combine both of these sources into one external training
category.



6 Enterprise Training in Developing Countries
Overview of Enterprise Training
2.8           Cross-national comparisons of training are fraught with problems, and this paper is
no exception. A strong word of caution. In our description of the country surveys, we noted
that, with the exception of Taiwan (which is a census), all other surveys over-sampled larger firms
relative to their true weight in the population. As such, the data for the other countries must be
appropriately weighted to provide nationally representative estimates of training. This was done
in Mexico. In Colombia, Indonesia, and Malaysia, definitive figures on the number of micro and
small enterprises were not available to us.7 Consequently, the sampling weights that we use
understate the true importance of micro and small firms in the manufacturing sectors of these
three countries. To the extent that micro and small enterprises do little training, our weighting
scheme tends to overstate overall training incidence in the three countries relative to Mexico and
Taiwan.
2.9           Our inclination is to treat the aggregate training estimates as being illustrative of
broad patterns of training in the different countries, and to rely on comparisons by employer size--
where the problem  with sampling weights is less an issue--to verify statements based on the
overall figures. To this end, we define four firn size categories: micro firns with 15 or fewer
employees, small firms with 16-100 workers, medium firms with 101-250 employees, and large
firms with over 250 employees.
2.10          With this caveat, we now  turn to the broad patterns of enterprise training
suggested by the data. These are reported in Table 2A for the manufacturing sector as a whole,
and in Table 2B by four firm sizes. Four points are noteworthy.
Table 2A: Incidence of Training by Country, Type of Training, and Source of Training
Colombia   Indonesia  Malaysia   Mexico    Taiwan
Type and Source of Training              (1992)       (1992)    (1994)    (1992)      (1986)
Sample Size                                500         300       2,200      5,072     56,047
% informal training                    75.9        18.5       83.1       11.3      n.a.
% formal training from any source      49.6        18.9       34.7       10.8      9.29
% internal formal training              3.7         9.7       25.2        5.8      n.a.
% external formal training             48.7        14.2       20.4        7.9      n.a.
External sources
% universities & colleges              13.01       0.24        5.56     n.a.       n.a.
% government training centers           9.07       6.40        7.32     n.a.       n.a.
% industry associations                19.96        1.93       3.88     n.a.       n.a.
% private training institutes           n.a.        8.56       9.38     n.a.       n.a.
% buyers & suppliers                   11.84       3.38        7.86     n.a.       n.a.
7Malaysia is conducting a census of micro and small enterprises and, as figures become available, we will work with statistical
agencies to devise more appropriate weights.



Table 2B: Incidence of Training by Source of Training and Firmn Size
Colombia                          Indonesiaa                          Malaysia                              Mexico
Characteristics    Micro   Small   Medium    Large       Small   Medium    Large       Micro   Small   Medium    Large        Micro   Small   Medium    Large
Numberoffuirms     46      143      139       62          62        58       185         153     638      932       453        661      1060     1546      1789
%Firmstraining     67.6    77.8    S8.6       87.2        15.7     32.6    16.1          56.5    80.5    88.8       92.4        7.4    36.1    44.7        30.4
informally
%Fimnsainig        32.9    52.1     79.3      81.3        16.6     19.9    30.9           9.4    19.3    43.7       69.5        5.50   41.8    59.0        49.0
fonmally
%Finmsttmining      3.1     2.4      9.6      12.8        11.3      2.2      9.8          5.9    14.2    31.2       52.1        2.5    22.5    39.4        39.9
interally
fonmally
%Fifsfsauining     32.9    50.9     76.8      81.3        10.9     17.7    28.8           5.0      8.1    25.6      50.8        3.9    30.6    45.7        40.2
externally
Notes:
Micro fimns are those with 15 or fewer workers
Small finns are those with 16-100 workers
Medium firms are those with 101-250 workers
Large finns are those with more than 250 workers
': There are no microenterprises in the Indonesia sample.
0



8   Enterprise Training in Developing Countries
2.11         First, there are implausibly wide variations in the incidence of informal training
reported by employers--75 to over 80 percent in Colombia and Malaysia, and under 20 percent in
Indonesia and Mexico. Some part of this difference is due to weighting. In Mexico, informal
training rises with size--to about 45 percent of medium size firms--and the low overall level of 11
percent may be driven in part by greater weight assigned to micro firms, who do little informal
training (7 percent). More likely, the problem is related to non-response: most employers are
familiar with whether they provide informal training (Colombia and Malaysia), but few can
accurately recall and report the numbers receiving informal instruction, as they were required to
do in Mexico and Indonesia.
2.12         Second, a sizable proportion of firms in all five developing countries report
providing no worker training, either informal on-the-job training or structured formal training (see
Table 2B). In Colombia and Malaysia, where we have relatively more confidence in the informal
on-the-job training data, over 20 percent of small enterprises in both countries do not provide any
basic informal instruction from co-workers and supervisors; even among the largest firms, as
many as 8 to 12 percent of employers provide no informal training.  For formal training, the
proportion of employers that do not train is even higher--between 50 and 80 percent of small
firms, and between 20 and 70 percent of large firms in the four developing countries. The
presence of large numbers of firms without any system of worker training is worrisome, given the
critical role that skills play in technology development and the presumed beneficial effects of
training on productivity growth (these links are quantified and demonstrated in subsequent
sections of the paper).
2.13         Third, putting aside level differences in formal training attributable to weighting,
there are striking cross-country differences in the relative importance of employer-provided
inhouse training versus external training. In Colombia, a relatively high proportion of firms (50
percent) are classified as providing formal training, primarily because of their heavy reliance on
training done by external providers.  To see this, note that only 4 percent of employers train
inhouse, as compared to 49 percent that use outside providers. In contrast, about 35 percent of
firms in Malaysia report providing formal training, but a higher proportion train inhouse (25
percent) rather than sending workers to external institutions (20 percent). Indonesia and Mexico
fall in between, with a higher proportion of firms sponsoring external training rather than training
inhouse. These cross-country patterns--of inhouse versus external training--are repeated by firm
size, as is apparent in Table 2B.  Clearly, there are cross-country differences in the inhouse
training capabilities of employers, with those in Colombia being particularly weak.
2.14         Finally, the data reveal that employers use a wide range of external training
providers, and some of these are as important, if not more important, than government-run
centers as sources of industrial training. In Colombia, a higher proportion of employers report
worker training from industry associations (20 percent), universities (13 percent), and supplier-
buyers (12 percent) than from SENA training centers (9 percent), which firms are required to
support through training payroll levies.8 In Indonesia, industry associations play a relatively small
8 We note that the incidence figures do not reflect numbers of trainees, and more workers may be trained by SENA than by the
other sources.



Data and Overview 9
training role (2 percent), and most external training is provided by private training institutes (9
percent) and by government training centers (6 percent). In Malaysia, private training institutes
dominate (9 percent), with suppliers-buyers (8 percent) being as important a source of training as
all public training centers combined (7 percent).
Key Variables and Some Hypotheses
2.15           In addition to the training data, respondents in these five countries provided a
broadly comparable set of firm-level variables. In general, these include (1) attributes of the
establishment, including year established, single-plant or multi-plant status, two-digit industry
classification, and foreign ownership; (2) data on production and inputs, including capital assets,
employment, intermnediate inputs, and energy use; (3) characteristics of the workforce, including
the mean educational attainment of the workforce, number of employees by broad occupational
groups, proportion of female workers, wages, and union status; (4) information on exports,
expenses on R&D and foreign technology licenses; and for several countries, (5) information on
the degree of automation and use of quality control methods. Table 3 provides summary statistics
on some of these key variables.
Table 3: Mean Characteristics Of Enterprises by Country
Characteristics
Sample     Firm      % Firms   % R&D       % Firms   % Foreign  % Skilled       Mean
Country      Size       Size    Traininga   Firmsb    Exporting     Firms'    Labor'   Educations
Colombia       500      56.00    49.60      62.41       20.68        n.a.       0.28        7.91
Indonesia      300    167.99      18.88     14.42       21.92         4.80      0.13        8.09
Malaysia      2,200    161.88    34.71      17.24       52.33        29.93      0.14        8.59
Mexico        5,072     21.69     10.77     14.21        5.23         1.76       0.36       7.23
Taiwan      56,047      90.56      9.29      9.46       16.84         6.67      0.24         n.a.
Notes:
a: For Colombia, Indonesia, Malaysia and Mexico, it includes firms that report internal formal or external training. For
Taiwan, it includes finns that report positive training expenditures.
b: For all countries, it includes firms that report positive expenditures on Research and Development.
d: In all countries it includes firms with positive export-sales ratios.
': In Indonesia, Malaysia, Mexico, Taiwan, it includes all firms with any foreign financial capital.
h: In Malaysia and Taiwan, this is calculated as the ratio of non-production to production labor, in all other countries it is
defined as the ratio of skilled to unskilled labor.
9: It is calculated as the average educational level of the workers employed.
2.16           We will use this wealth of firm-level information to provide insights into the
reasons for these cross-country patterns of enterprise training, and to estimate the relationships
between training and firm-level productivity. In these analyses, we are informed by the extant
literature on training and technology. The melding of elements from each of these research
traditions yields a rich set of hypotheses to be investigated. Three of these hypotheses are
discussed below.



10 Enterprise Training in Developing Countries
2.17         First, we know that the productivity advantage of new technology is only attained
through an intensive learning process. There is evidence from the technology literature that much
of the productivity gains from introducing a new innovation comes from making cumulative small
modifications in it, essentially through an intensive learning-by-doing process (Bell and Pavitt,
1992). For the petroleum refining industry, Enos (1962) finds that new technologies may even be
less productive than older ones, at least initially, until the technology is adapted to and modified
for the specific conditions in the firm. To effectively use the new technology, firms have to adjust
management, reorganize production lines, introduce quality control methods, upgrade skills, and
motivate workers to learn about the new technology. As such, we hypothesize that innovating
firms will have greater incentives to provide training opportunities, or to motivate learning about
new product and process technologies, as compared to firms using older, more established
technologies.
2.18         Second, there is evidence that innovative firms are also more likely to use highly
educated and skilled workers.  This follows from the "allocative efficiency of education"
hypothesis of Welch (1970). According to Welch, education has two effects: it increases the
productivity of individuals, the "productive" effect, and their ability to make sense out of new
information, the "allocative" effect.  If better-educated workers are more adept at critically
evaluating new information, and therefore learn more when exposed to new information, we
should expect a firm's use of new technology to be positively correlated with the educational and
technical skills of its workforce. Conditional upon adoption, we hypothesize that the productivity
gains from using new technology are enhanced by a continuing process of worker training and
skills upgrading, and by complementary investments in knowledge-generating activities such as
R&D, and investments in new machinery and equipment (Tan, 1980).
2.19         There is a large body of substantiating evidence for this hypothesis. Setzer (1974)
reports that the skill composition of the workforce is typically high in the early stages of the
product cycle when many characteristics of the new technology are unknown, but subsequently
declines as the technology becomes well-established. There is also evidence from the training
literature. Using industry estimates of total factor productivity (TFP) growth as a proxy measure
for the degree of innovativeness, Lillard and Tan (1992) find that workers are more likely to get
employer training (and more of it) in industries with high rates of TFP growth, especially the more
educated workers. Furthermore, they find that the returns to education are higher in the
technologically progressive industries as compared to the low-tech industries. Similar results have
been found in other industrialized economies and developing countries (see Tan, et al 1992;
Carnoy, 1990).
2.20         Third, employers must make decisions not only about whether to train, but also
what kinds of training to provide. They may choose to provide training inhouse, or rely on
outside training providers. In part, this will depend upon the vocational and technical education
(VTE) system in the country--its ability to meet the skill requirements of enterprises, the quality of
technical training provided, and the job relevance of skills which its graduates bring to the
employer. These factors determine how cost effective it would be for enterprises to rely on
outside training institutions rather than providing these skills inhouse. The technology discussion
suggests another set of determining factors. If the productivity advantage of technology is



Data and Overview I I
revealed only through learning by doing, innovative firms have an incentive to train inhouse to
embody the new technology in its workers skills. Outside providers are typically not well-
prepared to impart skills associated with the most recent, and still evolving, technologies. They
play an increasingly important role (and their training services are utilized more intensively by
firms) when technologies become standardized and their productive characteristics become well-
understood. Research by Lillard and Tan (1992) and Tan et al (1992) on the determinants of
worker training by source provides evidence consistent with this hypothesis.



12 Enterprise Training in Developing Countries



3
Determinants of Enterprise Training
3.1          We have provided a broad overview of enterprise training and discussed the
factors that may shape employer incentives to train. With this as background, we turn to an
empirical analysis of the determinants of enterprise training in the five countries. We are
interested in identifying what key factors shape employer decisions to provide training, whether
the determinants of training differ by skill group and by training source, and how these economic
forces might vary across the five developing countries. To address these questions, we estimate
separate probit models for any formal training, training by skill group (skilled and unskilled
workers), and training by source (inhouse and external training).9 The first model can be
estimated for all five countries; the more disaggregated training model specifications are limited
to the four developing countries (excluding Taiwan) which elicited detailed information on
training by occupation and by training provider.
3.2           The likelihood of employers providing each type of training is hypothesized to
depend on the relative costs and benefits of investing in training. It equals one if the present
value of training exceeds its costs, and equals zero otherwise. The net benefits of training
(benefits minus costs) are not directly observed, but are thought to be related to a set of
observable attributes of the employer. These attributes include firm size; worker characteristics
such as education and skill mix; its level of technology, as reflected in its R&D expenditures and
purchases of know-how, exporting, and foreign ownership; organizational factors such as the
degree of automation, use of quality control methods, employment of female labor, and
unionization; and two-digit industry dummy variables to control for other industry differences.
With a few exceptions, information on these firm and worker attributes are available for all five
countries in our sample.
3.3          In the discussion that follows, we summarize the effects of the most important
regressors on the likelihood of the employer providing any formal training, by skill group, and by
training source. For each set of regressors, the results for all countries are presented together so
as to facilitate cross-national comparisons. The training probit estimates on which these tables are
based are reported in full for each country in Annex Tables Al through A5.
9 A set of probit estimates was also developed for training by skill group and by training source combined. These estimates are
not reported here, but are available from the authors.
13



14 Enterprise Training in Developing Countries
Firm Size
3.4            Table 4 reports the effects of firm  size on the probability of enterprise training.
Relative to the smallest firms (micro firms are the omitted size category except in Indonesia),
larger firm sizes are associated with monotonically higher likelihoods of forrnal training; in
Taiwan and Colombia, the probability of training tapers off at the largest size category. The
importance of size, controlling for other correlates of training, may reflect scale economies in
training provision and unobserved employer attributes associated with improved management and
training capabilities.
Table 4: Effects of Firm Size on the Probability of Any Training
and Training by Skill Group and Training Source
Any          Skilled     Unskilled      Internal
Fonnal        Worker       Worker        Formal         External
Country                       Training      Training     Training       Training       Training
COLOMBIA
16-100 workers             0.499b        0.678'       0.569'        -0.550         0.474b
101-250 workers            1.178'        1.378'        1.088a        0.189         1.079'
250+ workers               0.839'        1.226'        1.064'        0.129         0.824'
MEXICO
16-100 workers             0.802a        0.915        0.692'         0.569a        0.856a
101-250 workers            1.116'        1.256a       1.081a         0.971'        1.112'
250+ workers               1.261a        1.408a        1.279a        1.251        1.281a
INDONESIA
250+ workers               0.416         0.557b       0.295          0.069         0.575a
MALAYSIA
16-100 workers             0.362b        0.5180       0.246          0.385b        0.221
101-250 workers            0.939'        1.265a       0.657T         0.801         0.924'
250+ workers               1.446'        1.748'        1.172'        1.182'        1.477'
TAIWAN
16-100 workers             0.495a          n.a.         n.a.          n.a.           n.a.
101-250 workers            0.687'          n.a.         n.a.          n.a.           n.a.
250+ workers               0.682a          n.a.         n.a.          n.a.           n.a.
Notes:
': Significant at 1%
b: Significant at 5%
Significant at 10%
Source: Annex Tables Al-A5.
3.5            The effects of firm size on training differ by skill group and by source of training.
In all four countries (these data are not available for Taiwan), increasingly larger firm sizes are



Determinants of Enterprise Training   15
associated with a higher likelihood of training for skilled workers than for unskilled workers, and,
with the exception of small firms in Malaysia, for external training as compared to inhouse
training. In Colombia and Indonesia, firm size has a strong positive impact on the likelihood of
external training but not inhouse training; this may be indicative of relatively weak inhouse
training capabilities among Colombian and Indonesian employers.
3.6          Another size-related variable--whether the firm has multiple plants--was included
in the training probits but was not reported in Table 4. Controlling for size, being a multi-plant
firm is typically associated with a higher probability of employer provided or sponsored training.
These effects vary by skill group and source--in Colombia, multi-plant status is associated with a
greater likelihood of inhouse training and training for unskilled workers; in Mexico, with greater
inhouse training and training for both skilled and unskilled workers; and in Malaysia, with training
for skilled workers. Having multiple plants may make it more economical (because of economies
of scale) for employers to provide inhouse training; alternatively, multi-plant employers may train
to ensure greater uniformity in product standards and skills across plants.
Education and Skill Mix
3.7           Table 5 reports the effects of two workforce characteristics--mean years of
education and the proportion of the workforce that is skilled--on the likelihood of employer
training, by skill group and by training source.
3.8           The training effects of education stand out. A more highly educated workforce is
associated with a greater likelihood of any formal training in three of the four countries for which
we have education data. In these three countries, education has a statistically significant positive
impact on training for all skill groups and for all training sources. For Indonesia, the effects of
education on training are negative, possibly reflecting the variable's high correlation with other
included worker attributes. In other words, with the exception of Indonesia, this result provides
strong evidence that investments in the two forms of human capital--education and training--are
highly complementary.
3.9          Controlling for mean education, a workforce with a higher skill mix is associated
with a greater probability of any training in Taiwan and Malaysia. In Malaysia and Mexico, skill
mix is a more important determinant of external training than inhouse training. To the extent that
training for skilled workers tends to be highly technical or specialized, employers may find it more
economical to send skilled workers to external training providers than to develop these programs
themselves. In Malaysia, there is also evidence that a more highly skilled workforce is associated
with a higher probability of training for both skilled workers and unskilled workers. Thus, at
least for Malaysia, unskilled workers enjoy an externality in training by working in a workplace
with a high proportion of skilled workers.



16 Enterprise Training in Developing Countries
Table 5: Effects of Education and Skill Mix of Workers on Probability
of Any Training and Training by Skill Group and Training Source
Any         Skilled     Unskilled    Internal
Formal       Worker       Worker      Formal    External
Country                          Training      Training    Training     Training    Training
COLOMBIA
Mean education                 0.070a       0.060'      0.06Ss       0.064b      0.063'
Proportion skilled workers     0.245        0.58        -0.301      -0.028       0.026
MEXICO
Mean education                 0.034'       0.039'      0.045'       0.0298      0.035a
Proportion skilled workers     0.137        0.393'      0.098        0.240       0.354b
INDONESIA
Mean education                 0.137b        .125b      4.081       -0.058       .136b
Proportion skilled workers    -0.070        0.010       -1.703      -1.029      -0.176
MALAYSIA
Mean education                 0.064a       0.081a      0.076'       0.088a      0.062a
Proportion skilled workers     1.742b       1.096'      1.668'       0.635a      1.938'
TAIWAN
Mean education                  n.a.          n.a.        n.a          n.a.        n.a.
Proportion skilled workers     0.371'         n.a.        n.a          n.a.        n.a.
Notes:
': Significant at 1%
b: Significant at 5%
Source: Annex Tables Al-A5.
The Firm's Technology
3.10          Table 6 shows the relationship between training and employer investments in R&D
and know-how (henceforth termed "R&D"). In three of the five countries--Malaysia, Mexico and
Taiwan--R&D is associated with a significantly higher likelihood of enterprise training. In
Colombia and Indonesia, it is not, possibly reflecting the lower average level of employers'
technological capabilities in these two  less developed  countries.   Consistent with  this
interpretation, the R&D-training link is stronger the higher is the income level of the country--
note that the coefficient of R&D rises from 0.209 for Mexico, to 0.365 for Malaysia, and 1.689
for Taiwan.
3.11          The results, by skill group, suggests that while R&D firms are more likely to train
both skilled and unskilled workers than firms not doing R&D, the likelihood of their training
unskilled workers is actually higher. Plausibly, unskilled workers require little instruction, beyond



Determinants of Enterprise Training   17
some informal on-the-job training by co-workers, to operate older, well-established technologies.
When new technologies are being introduced, however, production is no longer routinized; under
these circumstances, training for all workers--skilled and unskilled--becomes critical if
unanticipated problems are to be detected and fixed, and the productivity advantage of using new
technologies are to be realized (Enos, 1962).
Table 6: Effects of Investing in Research and Development (R&D) on Probability
of Any Training and Training by Skill Group and Training Source
Any          Skilled       Unskilled
Formal        Worker         Worker      Internal Formal     External
Country              Training       Training       Training       Training         Training
COLOMBIA
InvestinR&D        0.103         0.073         0.157           0.595c          0.104
MEXICO
Invest in R&D      0.209a        0.195a        0.213a          0.186a          0.183'
INDONESIA
InvestinR&D        0.074         0.077         0.118           0.382           -0.101
MALAYSIA
Invest in R&D      0.365a        0.344'        0.424'          0.395a          0.334'
TAIWAN
Invest in R&D      1.689'          n.a.          n.a.            n.a.            n.a.
Notes:
': Significant at 1%
b: Sigrificant at 5%
C: Significant at 10%
Source: Annex Tables Al-A5.
3.12          When training by source is considered, R&D is positively and significantly related
to the probability of inhouse training in Mexico, Malaysia, and Colombia. In these three
countries, the estimated coefficients for inhouse training are usually larger than those for external
training; these differences are even more marked in probit training models disaggregated further
by both skill and training source (not reported here).  These results--that R&D firms are more
likely to train their workers inhouse--are consistent with Tan's hypothesis (1980) that the use of
advanced technologies is associated with a greater reliance on inhouse training than on external
training, in part because external training providers are not well equipped to train in new
technologies, in part because inhouse training is best suited to the innovation process.



18 Enterprise Training in Developing Countries
Exports and Foreign Ownership
3.13          Table 7 shows the effects on training of two other firm characteristics--exports and
foreign ownership. The export variable is positive and significant in four of the five countries
(exception is Malaysia) when we include all the training results by skill group or by source. The
importance of a firm's export-orientation suggests that intemational competition can have a
salutary impact on training, perhaps because greater exposure to new production techniques or to
competitive forces increases employer incentives to train. In Colombia, Mexico and Indonesia,
exports are associated with a greater likelihood of inhouse training than external training, a result
resembling the R&D link with training.
Table 7: Effects of Exporting and Foreign Ownership on Probability
of Any Training and Training by Skill Group and Training Source
Any           Skilled     Unskilled     Internal
Formal         Worker       Worker        Formal       External
Country                     Training       Training      Training      Training      Training
COLOMBIA
Exporting                0.368'           0.334b       0.092        0.631        0.311I
Foreign Ownership          n.a.            n.a.         n.a.         n.a.           n.a.
MEXICO
Exporting                0.131a           0.127        0.152        0.118b        0.113b
Foreign Ownership        0.045            0.053        0.057        0.064         0.078
INDONESIA
Exporting                0.055            0.057        0.14lb       0.0990        0.059
Foreign Ownership        0.469           0.414         0.538        0.371         0.5870
MALAYSIA
Exporting                0.027           0.101         0.002       -0.012         0.030
Foreign Ownership        0.188a          0.064         0.233'       0.243a       -0.029a
TAIWAN
Exporting                0.2578            n.a.         n.a.          n.a.         n.a.
Foreign Ownership        0.347a            n.a.         n.a.          n.a.          n.a.
Notes:
8: Significant at 1%
b: Significant at 5%
C: Significant at 10%
Source: Annex Tables Al-A5.
3.14          Firms with foreign capital are also more likely to train.  Controlling for other
factors, many being characteristics of multinationals (such as R&D, exports, and firm size),
foreign firms are significantly more likely to train only in Taiwan and Malaysia (foreign ownership
is not known in the Colombia sample). The weak training result in Mexico may be attributable, in



Determinants of Enterprise Training   19
large part, to the presence of maquiladora firms; many maquiladora firms are simple assembly
operations, using predominantly unskilled female labor who require little formal training. In
Malaysia, on the other hand, foreign firms are more likely to train production workers and to
provide this training inhouse as compared to domestic firms. This may reflect the well-developed
inhouse training capabilities of foreign firms, many of which are large multinationals involved in
high-tech semiconductor and electronics production and assembly.
Table 8: Effects of Degree of Automation and Quality Control on Probability
of Any Training and Training by Skill Group and Training Source
Any           Skilled     Unskilled     Internal
Formal         Worker       Worker        Formal      External
Country                       Training       Training     Training       Training    Training
COLOMBIA
Automation                 0.001          0.001        -0.001        0.001        0.002
Quality Control            0.301          0.208        0.459a        0.187        0.305
M[EXICO
Automation                 0.001          0.001        0.001         0.001        0.001
Quality Control            0.23lb         0.318'       0.201b        0.242        0.215
INDONESIA
Automation                 0.002          0.002        0.013b        0.006        0.002
Quality Control            0.148          0.001        0.331         0.147        -0.005
MALAYSIA
Automation                 0.002          0.004'       0.001         0.001        0.004'
Quality Control            0.272a         0.403'       0.245a        0.309        0160b
TAIWAN
Automation                 0.344a          n.a.          n.a.         n.a.         n.a.
Quality Control             n.a.           n.a.          n.a.         n.a..        n.a.
Notes:
': Significant at 1%
b: Significant at 5%
': Significant at 10�/o
Source: Annex Tables Al-A5.
Automation and Quality Control
3.15          Table 8 shows the effects of two organizational variables, proxied by the degree of
equipment automation and use of quality control methods, on the probability of training by skill
group and by source. Automation can either lead to the "dumbing down" of skills, as some have
argued, or to increased skill requirements to operate and maintain increasingly sophisticated



20 Enterprise Training in Developing Countries
equipment. The results, while not overwhelming, suggest that the probability of training is higher
the greater is the share of equipment that is semi- or fully automatic. This relationship was
statistically significant in Taiwan for any formal training; in Malaysia, employers were more likely
to train skilled workers and send them for external training; in Indonesia, automation had a
significant impact on the training provided to unskilled workers.
3.16         Employers that emphasize quality control are more likely to train. This result is
significant in Mexico and Malaysia for training provided to both skilled and unskilled workers,
and for training from internal and external sources; in Colombia, it is important only for unskilled
worker training. A second result is suggested by comparing the relative size of the training
coefficients of quality control estimated for each skill group and for each training source. For
Mexico and Malaysia, these comparisons indicate that employers using quality control methods
are more likely to train skilled workers than unskilled workers, and are more likely to train them
inhouse as opposed to sending them offsite for training.
Female Labor and Unionization
3.17         Table 9 summarizes the training effects of two other variables which characterize
work organization in the firm--the use of female labor, and unions. Use of large numbers of
female workers may reflect forms of organization built around simple assembly, manual dexterity,
seasonal work, and relatively low skills. Controlling for mean education and skill composition,
the training effects of having a higher proportion of female workers are mixed--statistically
insignificant in Mexico, Malaysia and Taiwan, and significantly negative in Colombia and
Indonesia. In Indonesia, firms that employ a high proportion of female workers are less likely to
provide training for all groups and for all training sources.
3.18         In theory, unions are thought to reduce the likelihood of training by negotiating
higher levels of wages and reducing the ability of employers to lower wages to finance firm-
specific training through a training wage. However, when statistically significant union effects on
training are found, they are invariably positive as in Colombia, Mexico, Malaysia, and Taiwan.
Similar results have been reported in several industrialized countries (see Lillard and Tan, 1992,
Tan et al, 1992). The Taiwan union variable is different in referring to employer membership in
guilds and industry associations; its effects on training, however, are also positive. In Colombia
and Malaysia, the union effect is strongest in training from external sources; in training for
unskilled workers in Colombia, and for skilled workers in Malaysia, and in Mexico, unionization
has a positive impact on training from all sources and for both skilled and unskilled groups.



Detenninants of Enterprise Training   21
Table 9: Effects of Female Workers and Unionization on Probability
of Any Training and Training by Skill Group and Training Source
Any           Skilled     Unskilled    Internal
Formal          Worker       Worker      Fornal      External
Country                         Training        Training     Training     Training    Training
COLOMBIA
Fenale Workers               -0.665b       -0.765'       -0.416       0.034       -0.703b
Unionization                 0.742a         0.745         0.3290     -0.189        0.779'
MEXICO
Female Workers               0.057          0.081        -0.017       0.055        0.003
Unionization                 0.310a         0.259'        0.356'      0.336'       0.198'
INDONESIA
Female Workers              -1.629'         -1.538       -2.178b     -1.947'       -1.425'
Unionization                  n.a.            n.a.         n.a.        n.a.         n.a.
MIALAYSIA
Femle Workers                0.065         -0.167         0.016       0.025        0.048
Unionization                 0.1580         0.207b        0.059       0.082        0.215'
TAIWAN
Female Workers              -0.005            n.a.         n.a.        n.a.         n.a.
Employer assocation or union    0.246'        n.a.         n.a.        n.a.         n.a.
Notes:
':Significant at 1%
b Significant at 5%
C: Significant at 10%
Source: Annex Tables Al-AS.



22 Enterprise Training in Developing Countries



4
Training and Firm-Level Productivity
4.1          We now turn to an empirical analysis of the productivity effects of worker training
within a production function framework. We are interested in finding out whether employer
investments in formal training are associated with higher firm-level productivity, in whether there
are productivity differences in the training provided to different groups of workers, and in which
source of training (inhouse training or external training) has the largest impact on productivity.
Answers to these questions have important ramifications not only for employers--whether to train,
who to train, and what kinds of training to sponsor--but also for policymakers concerned with
issues of economic performance, education and training policy, and income distribution.
4.2          For each country, we estimate Cobb-Douglas production function models
augmented to include one or more training variables. The dependent variable--the logarithm of
value added--is regressed on the logarithms of capital (book value of physical plant and equipment
assets) and labor (total employment), a measure of training, and a vector of control variables.
These include the rate of capacity utilization, the mean educational attainment of the firm's
workforce, indicator variables for key characteristics of the employer--whether the firm exports its
output, conducts R&D, possesses foreign technology licenses or know-how agreements, or has
foreign capital--and a set of two-digit industry dummy variables. This model specification is
common to all countries in the sample, with minor modifications where information on.specific
variables was not collected. 10
4.3          We experiment with alternative training measures. First, we treat training as an
indicator variable for whether the employer provided any formal training., This basic model
specification can be estimated for all five countries, including Taiwan where only limited training
information is available. Next, we distinguish between training provided to skilled and unskilled
workers, but this time, training indicator variables are weighted by the fraction receiving training
in each skill group (termed "training intensity"). Finally, we disaggregate training by skill group
and by whether training is provided inhouse or externally; the four training variables are again
weighted by the fraction trained in each skill group and from each source.  Since training
'� Infornation was not elicited on education in Taiwan, foreign capital in Colombia, and capacity utilization rates in Indonesia
and Malaysia.
23



24 Enterprise Training in Developing Countries
expenditures are the only information available for Taiwan, these model specifications with skill
and source-specific training intensity measures are restricted to the other four countries.
4.4           We recognize that the firm's decision to train is endogenous so that the production
function estimates may be subject to selectivity bias. We address this issue for the simplest model
specification using an instrumental variable approach. The selectivity correction for training
provided to different skill groups and from multiple sources is complex, and we defer the
econometric modeling of selectivity bias in those models to future research.1
Productivity Impact of Any Formal Training
4.5           Table 10 reports the estimated production function parameters for the five
developing countries. The estimated capital and labor coefficients are all positive and statistically
significant, and generally exhibit constant or mildly increasing returns to scale--a result commonly
found in cross-sectional production function estimates. The estimated labor coefficients are
broadly consistent with labor shares of about two-thirds to three-quarters (see Tables 10 through
13), with relatively high labor coefficients for Mexico (0.8 to 0.9) and low labor coefficients for
Indonesia (0.4 to 0.5). One possible explanation for the low labor coefficients estimated for
Indonesia is the survey's focus on relatively capital-intensive, medium and large firms.
4.6           Before turning to training, we briefly discuss the estimated parameters of the other
control variables. These results are not without interest, given the paucity of research on these
correlates of productivity in developing countries.   First, consistent with the belief that
educational attainment raises productivity, the results indicate that the mean education of the
workforce is positively related to firm-level productivity in all four countries where this variable
was available (except Taiwan). However, the effect of education is statistically significant only in
Malaysia and Mexico, but not in Colombia or Indonesia, possibly because of small sample sizes in
the latter countries. Second, exports--which we interpret as an informal source of foreign know-
how--are associated with higher firm-level productivity in all countries; however, exporting only
attains statistical significance in Colombia, Mexico, and Taiwan. Third, the two sources of
technology--R&D and technology licenses--have mixed effects on firm-level productivity.
Consistent with the findings of a large body of industrialized country research,12 both R&D and
technology licenses have positive and statistically significant impacts on productivity in Mexico
and Taiwan. R&D did not appear to have a statistically significant productivity impact in
Malaysia and Indonesia. Finally, only in Taiwan does foreign ownership have a positive and
significant impact on productivity; in the other countries, lack of significance of this variable may
simply reflect our inclusion of control variables for the productivity benefits of foreign capital
participation, namely, increased training, R&D, and know-how.
" See Madalla (1983).
12 See Griliches (1979) and Mairesse and Sassenou (1991) for a review of the R&D literature in industrialized countries, and
Pack and Westphal (1986) for developing country experiences.



Training and Firm Level Productivity 25
Table 10: Production Function Estimates with Training Indicator Variable
Dependent Variable: log (Value Added)
Independent Variable      Colombia         Indonesia       Malaysia      Mexico          Taiwan
Constant                   5.852'           -0.851          6.048'       0.765'           3.289'
(0.359)          (0.899)        (0.319)      (0.095)          (0.028)
Log (labor)                0.703'            0.470'         0.662'        0.923'          0.667'
(0.075)          (0.126)        (0.031)      (0.016)          (0.003)
Log (capital)              0.262'            0.657'         0.332'       0.252'           0.336'
(0.036)          (0.078)        (0.021)      (0.009)          (0.003)
Capacity utilization      -0.114              n.a.           n.a.        0.005'           0.003'
(0.133)                                       (0.001)         (0.0001
Trainingd                  0.142             0.831'         0.025         0.131'          0.097'
(0.133)          (0.308)        (0.062)      (0.033)          (0.017)
Education                  0.006             0.053          0.061'        0.104'           n.a.
(0.017)          (0.067)        (0.017)       (0.008)
R & De                     0.005            -1.170         -0.137c        0.066'          0.116'
(0.144)          (0.561)        (0.069)      (0.036)          (0.015)
Technology transfer,       0.068             0.125          0.044        0.073b           0.081b
(0.151)          (0.482)        (0.091)      (0.034)          (0.034)
Exports8                   0.2550            0.298          0.077        0.083b           0.161'
(0.136)          (0.318)        (0.064)      (0.042)          (0.008)
Foreign ownershiph           n.a.           -0.045          0.029        0.053            0.132'
(0.457)        (0.066)      (0.042)          (0.027)
Notes:
I. Numbers in parentheses are standard errors
2. Industry dummies have been included in all regressions.
: Significant at 1%.
b Significant at 5%
': Significant at 10%
d: Training is defined as a dummy variable with a value of one if the firm reports investments in internal formal/external
training or positive training expenditures (Taiwan).
': R&D is measured by a dummy variable with a value equal to I for finrs reporting positive R&D-sales ratios.
f Technology transfer is represented by a dummy with a value equal to I if the firm has licensing agreements with foreign
firms.
: Foreign ownership is represented by a dununy variable with a value equal to I for firms with foreign financial capital.
h: Exports are represented by a dummy variable with a value of one if the firn reports a positive export-sales ratio.
4.7            Training, as measured by a simple indicator variable, is positively associated with
firm-level productivity in all five countries. This training-productivity relationship is statistically
significant in Indonesia, Mexico and Taiwan but not in Colombia and Malaysia. The estimated
coefficients range from a low of 0.097 in Taiwan to a high of 0.831 in Indonesia, with Mexico in
between with a 0.131 point estimate. Notwithstanding the poor results for Colombia and
Malaysia, these first, cross-country results are suggestive of the potentially important effects that
enterprise training can have on firm-level productivity.
4.8            In the following sections, we refine these training estimates in two ways. First, the
possibility exists that the parameter estimates of training (and other variables) are biased by the



26 Enterprise Training in Developing Countries
inclusion of an endogenous variable--training--in the production function. Indeed, we found
evidence of sample selectivity bias. When a simple and, admittedly crude, correction for
selectivity was used, training was found to have a positive and statistically significant impact on
firm-level productivity in all five countries. Second, the treatment of training as a simple indicator
variable ignores a great deal of information about the intensity of training, the skilled and unskilled
worker groups being trained, and the training provided to workers from different sources, both
inhouse and external. We estimated production function models with more comprehensive
training measures, and these revealed patterns of training effects varying by skill group and
training source.
Table 11: Production Function Estimates with Predicted Training
Dependent Variable: log (Value Added)
Independent Variable           Colombia    Indonesia    Malaysia        Mexico          Taiwan
Constant                         6.219a      -3.027        6.891a        1.4968          3.273a
(0.441)      (1.545)      (0.395)      (0.147)          (0.045)
Log (labor)                      0.7068       0.351C       0.593a        0.814a          0.634'
(0.079)      (0.158)      (0.038)      (0.024)          (0.004)
Log (capital)                    0.2618       0.704'       0.320a        0.2498          0.353'
(0.037)      (0.100)      (0.021)      (0.009)          (0.003)
Capacity utilization            -0.043         n.a.          n.a.        0.005'          0.003a
(0.152)                                (0.001)         (0.0001)
Training Instrunentd             0.266b       0.71 IC      0.282a        0.444'          0.028'
(0.132)      (0.423)      (0.078)      (0.068)         (0.009)
Education                       -0.011        0.267'       0.031C        0.087'            n.a.
(0.020)      (0.087)      (0.019)      (0.008)
R & D�                          -0.039       -1.192c       -0.167c       0.068c          0.177'
(0.144)      (0.599)      (0.069)      (0.036)         (0.014)
Technology transferf             0.045       -0.412        0.020         0.075'          0.103'
(0.153)      (0.556)      (0.091)      (0.034)         (0.033)
Exports5                         0.162        0.402        0.041         0.057           0.1588
(0.139)      (0.359)      (0.064)      (0.042)          (0.009)
Foreign ownership"                n.a.       -0.494        -0.033        0.037           0.088a
(0.570)      (0.068)      (0.042)         (0.027)
Notes:
1. Numbers in parentheses are standard errors
2. Industry dumnnies have been included in all regressions.
':Significant at 1%.
b: Significant at 5%
Significant at 10%
d: Training variable replaced by its predicted value (see text).
e: R&D is measured by a dummy variable with a value equal to I for firms reporting positive R&D-sales ratios.
f: Technology transfer is represented by a dummny with a value equal to I if the firm has licensing agreements with foreign
firms.
9: Foreign ownership is represented by a dunmny variable with a value equal to I for firms with foreign financial capital.
h: Exports are represented by a dummy variable with a value of one if the frm reports a positive export-sales ratio.



Training and Firm Level Producfivity 27
A Simple Correction for Self-Selection
4.9           We use an instrumental variable approach to correct for selectivity bias in
estimating the productivity impact of training. If firms that find it productive to train do so, and
they differ systematically from non-training firms in both their observed and unobserved attributes,
then the possibility arises that the errors of the training choice and production function equations
are correlated. Instrumental variables is one approach to addressing this problem. The training
probit model estimates can be used to generate a predicted value for the training variable that, by
construction, is purged of any correlation with the error term in the production function model.
Recognizing that employer decisions to invest in R&D are also endogenous, we re-estimated the
training probits without R&D and, in a second step, replaced the training variable with its
predicted value in the production function estimation.13
4.10          Table 11 reports the production function results for each country using the training
instrumental variable. The estimated parameters of the production function and control variables
are moderately affected by the use of this instrumental variable approach, but the principal results
remain. The statistical significance of two control variables change across countries--exports lose
statistical significance in Colombia and Mexico (but not Taiwan), while mean education becomes
statistically significant in Indonesia (joining Malaysia and Mexico). The most striking change is
on the training variable, which now has a positive and statistically significant impact on
productivity in all five economies. As before, the estimated training coefficients are lowest for
Taiwan (0.028) and highest for Indonesia (0.711); falling in between are the training effects of
Colombia (0.266), Malaysia (0.282), and Mexico (0.444).
Training Effects by Skill Group and by Training Source
4.11          Tables  12 and  13  report the production  function  parameters with  more
comprehensive training measures for Colombia, Indonesia, Malaysia and Mexico (no
disaggregated training data are available for Taiwan). In Table 12, separate training intensity
measures are included for skilled and unskilled workers; these training measures are further
disaggregated by whether training is provided inhouse or from all external sources of training
combined in Table 13. Given the broadly similar results obtained for the other control variables,
the following discussion will focus only on the estimated productivity effects of training.
'3This observation, of course, naturally suggests that an instrumnent also be used for R&D in the production finction. This was
not done, given our focus on training. Interested readers are referred to Aw and Tan (1993) for such an econometric exercise.



28 Enterprise Training in Developing Countries
Table 12: Production Function Estimates with Training Intensity by Skill Group
Dependent Variable: log (Value Added)
Independent Variable                Colombia       Indonesia     Malaysia           Mexico
Constant                             6.231'         -1.134         6.876'            0.966'
(0.385)         (0.901)       (0.217)           (0.108)
Log (labor)                          0.809'          0.460'        0.692'            0.909'
(0.071)         (0.129)       (0.031)           (0.017)
Log (capital)                        0.244'          0.665'        0.286'            0.249'
(0.036)         (0.082)       (0.018)           (0.009)
Capacity utilization rate            0.092            n.a.          n.a.             0.004'
(0.148)                                         (0.001)
Skilled & formal trainingd           0.3860          1.43 1c       0,252b            0.204b
(0.229)         (0.756)       (0.122)           (0.051)
Unskilled & formal trainingd        -0.263          -0.550         -0.041           -0.132
(0.292)         (1.592)       (0.114)           (0.073)
Education                           -0.021           0.097         0.059a            0.104'
(0.017)        (0.067)        (0.017)          (0.008)
R&D'                                -0.104          -1.204b        -0.117            0.068c
(0.139)         (0.495)       (0.069)           (0.036)
Technology transfer                 -0.059           0.082         0.099             0.0610
(0.149)         (0.483)       (0.091)           (0.034)
Exportsg                             0.287'          0.288         0.078             0.083
(0.138)         (0.321)       (0.062)           (0.041)
Foreign ownershiph                    n.a.           0.009         0.037             0.0780
(0.458)       (0.065)           (0.042)
Notes:
1. Numbers in parentheses are standard errors
2. Industry dununies have been included in all regressions.
: Significant at 1%.
b' Significant at 5%
C: Significant at l10/c
(I: Training is weighted by the proportion of workers trained by source in each skill group
e: R&D is measured by a dummy variable with a value equal to 1 for firms reporting positive R&D-sales ratios.
r: Technology transfer is represented by a dummy with a value equal to I if the finn has licensing agreemnents with foreign
firns.
9: Foreign ownership is represented by a dummy variable with a value equal to I for fuims with foreign financial capital.
11: Exports are represented by a dummy variable with a value of one if the firm reports a positive export-sales ratio.
4.12           The results in Table 12 indicate, first, that the formal training of skilled workers
has a positive and significant impact on firm-level productivity in all four countries. The
coefficient estimates for skilled worker training range from 0.204 in Mexico to 1.431 in Indonesia;
Malaysia with 0.252 and Colombia with 0.386 lie in between these two estimates. Second, and in
direct contrast to the results for skilled workers, the productivity effects of unskilled worker
training are statistically insignificant. It appears that the productivity effects of training are
enhanced by a skilled (and educated) workforce, which might explain the greater propensity of
employers to train their skilled employees.



Training and Firm Level Productivity 29
Table 13: Production Function Estimates with Training Intensity
by Skill Group and Training Source
Independent Variable                 Colombia       Indonesia       Malaysia          Mexico
Constant                              6.319'        -1.131            6.602'            0.922'
(0.379)        (0.913)          (0.302)          (0.108)
Log (labor)                           0.809'          0.462'          0.647"            0.908'
(0.069)        (0.133)          (0.032)          (0.017)
Log (capital)                         0.233'          0.664'          0.328'            0.249'
(0.036)        (0.083)          (0.021)          (0.009)
Capacity utilization rate             0.119            n.a.            n.a.             0.004a
(0.146)                                           (0.001)
Skilled & internal formal trainingd   0.217           1.454           0.077C            0
(0.513)        (1.032)          (0.041)          (0.072)
Unskilled & internal formal trainingd    -0.858c     -0.823           -0.061           -0.089
(0.473)        (1.723)          (0.197)          (0.088)
Skilled & exteral trainingd           0.346          0.875           -0.021             0.132b
(0.242)        (1.092)          (0.121)          (0.060)
Unskilled & external trainingd        1.046'          1.044          -0.108            -0.032
(0.439)        (3.892)          (0.256)          (0.106)
Education                            -0.025           0.095           0.062'            0.104'
(0.018)        (0.068)          (0.018)          (0.008)
R & D                                -0.099          -1.20lb         -0.123             0.069b
(0.137)        (0.501)          (0.074)          (0.036)
Technology transfer'                 -0.039          0.105            0.077             0.061c
(0.149)        (0.487)          (0.097)          (0.034)
Exports'                              0.341'         0.282            0.085             0.086b
(0.137)        (0.324)          (0.068)          (0.041)
Foreign ownershiph                     n.a.          -0.019           0.041             0.079'
(0.461)         (0.071)          (0.042)
Notes:
1. Numbers in parentheses are standard errors
2. Industry dummies have been included in all regressions.
': Significant at 1%.
b Significant at 5%
Significant at 10%
d: Training is weighted by the proportion of workers trained by source in each skill group
e: R&D is measured by a dummy variable with a value equal to I for firms reporting positive R&D-sales ratios.
r: Technology transfer is represented by a dummy with a value equal to I if the firm has licensing agreements with foreign
firms.
':$oreign ownership is represented by a dummy variable with a value equal to I for firms with foreign fuiancial capital.
*.Exports are represented by a dummny variable with a value of one if the firm reports a positive export-sales ratio.
4.13           Is training provided to unskilled workers always unproductive?  Table 13 reports
the results of disaggregating skilled and unskilled worker training by internal and extemal training
sources. For skilled workers, the estimated productivity effects of both internal and external
training are positive across all countries, with one exception--skilled external training in Malaysia.
The skilled training coefficient estimates attain statistical significance for both inhouse and



30 Enterprise Training in Developing Countries
external training in Mexico (0.191 and 0.132, respectively), and for inhouse training in Malaysia
(0.077). For unskilled workers, the training effects are not statistically significant in all countries
except Colombia. In Colombia, external training for unskilled workers is positive and statistically
significant while inhouse training for unskilled workers is negative and marginally significant.
Table 14: Estimated Training Coefficients from a Production Function
With Training Intensity by Disaggregated Training Source
Independent Variable                                           Malaysia               Colombia
TNTERNAL FORMAL TRAINING
Skilled & internal training                                 0.069C                  0.344
(0.041)                 (0.525)
Unskilled & internal training                               0.085                  -0.889C
(0.125)                 (0.485)
EXTERNAL SOURCES OF TRAINING: SKILLED
Government training centers/SENA                           -0.292                  -0.249
(0.436)                 (0.311)
University/colleges                                        -0.162                   0.776'
(0.488)                 (0.391)
Industry associations.                                      1.714                   0.125
(0.767)                 (0.278)
Buyers/suppliers                                            0.202                   0.212
(0.839)                 (0.340)
Others external                                            -0.092                  -0.562
(0.257)                 (0.661)
EXTERNAL SOURCES OF TRAINIG: UNSKILLED
Government training centers/SENA                           -0.509                   0.247
(0.949)                 (0.447)
University/colleges                                         1.718                   0.839
(1.779)                 (0.636)
Industry associations                                      -2.033                  -0.017
(1.028)                 (0.349)
Buyers/suppliers                                           -0.324                   0.752c
(1.240)                 (0.470)
Other external                                             -0.052                   0.612
(0.219)                 (0.927)
Notes:
1. Numbers in parentheses are standard errors
2. The production function estimates for the other variables are not reported, but are available from the authors. Industry
dummies have been included in all regressions.
a Significant at 1%
b: Significant at 5%
c: Significant at 10%
4.14            Table  14  reports  the  estimated  training  effects  by  skill groups,  further
disaggregating training by each individual source of external training. This exercise is restricted
to Malaysia and Colombia, where detailed information on external training is available and sample
size makes this exercise feasible.   For Malaysia, three training  estimates attain  statistical
significance--positive effects for skilled inhouse training and skilled training from industry



Training and Finn Level Productivity 31
associations, but negative effects for training provided to unskilled workers by industry
associations. For Colombia, positive significant effects are found for skilled worker training in
universities and colleges, and for training provided to unskilled workers by buyers and suppliers;
as before, inhouse training for unskilled workers was associated with lower productivity.



32 Enterprise Training in Developing Countries



5
Conclusions and Policy Implications
5.1          Skills figure prominently in corporate strategies for productivity growth and
international competitiveness.   Despite its importance for private sector firms and for
policymakers, there has hitherto been little effort made to collect information on, and study, the
role of firm-led training in developing countries. To address this knowledge gap, we assembled
an unusually rich set of firm-level surveys from five developing countries to provide a first look at
the incidence, determinants, and productivity effects of enterprise training. The foliowing findings
and implications were suggested by our analyses.
5.2          The surveys indicated that a sizable fraction of firms in the manufacturing sector
do not provide any training--formal or informal--for their employees.  This is especially
pronounced for small and micro firms--over half of them give no formal structured training, and
over one-third do not provide any informal on-the-job training. Even among large firms, a
significant number also report no training, either formal or informal. This finding suggests that
several constraints on training--poor information about the benefits of training, the high training
costs from the inability to exploit scale economies in training, weak managerial capabilities,
absence of competitive pressures, or market imperfections--may be operative, and that policy
initiatives to address these constraints should be explored.
5.3          Firms that train use a variety of inhouse and external providers. The surveys
indicate that government-run training institutions are but one source of training. Private sector
providers--firms themselves, industry associations, buyers and equipment suppliers, and private
training institutes and colleges--are as important, if not more important, sources of in-service
training. To the extent that many of these private sector providers can deliver training that meets
employer needs and is cost effective, they offer an important means of expanding the resources
available for skill development.
5.4          Several common training determinants were identified in our sample of developing
countries. Firms are more likely to train when they are large, employ an educated and skilled
workforce, invest in R&D and technology licenses, emphasize quality control methods, have
foreign capital participation, and export to foreign markets. These results are evidence of strong
complementarities between training and schooling, and of critical links between firms' training,
technology, and exports. To be effective, the design of development policies should reflect this
interdependence of human resource and industrial strategies.
33



34 Enterprise Training in Developing Countries
5.5          The production analyses provided the first, broad-based evidence of the
productivity enhancing effects of training in developing countries. In general, a large and
significant impact of training on productivity was found for skilled workers but not unskilled
workers, and for inhouse formal training as compared to most external sources of training. In
other words, firm investments in training, especially inhouse training and training of skilled
workers, has large payoffs. For employers, these results should dispel any skepticism about the
beneficial effects of training on productivity; for policymakers, they form the basis for the design
of appropriate policy instruments to encourage a larger private sector role in skills development
and productivity growth.



References
Aw, Bee-Yan and Hong Tan (1993), "Training, Technology and Firm-Level Productivity in
Taiwanese Manufacturing," PSD Working Paper, The World Bank.
Bartel, Ann and Frank Lichtenberg (1987), "The Comparative Advantage of Educated Workers in
Implementing New Technologies", Review of Economics and Statistics, February.
Bartel, Ann (1991), "Productivity Gains from the Implementation of Employee Training
Programs", NBER Working Paper # 3893, November.
Bartel, Ann (1992), "Training, Wage Growth, and Job Performance: Evidence from a Company
Database," NBER Working Paper # 4027, March.
Bell, M. and K. Pavitt (1992), "Accumulating Technological Capability in Developing Countries",
Proceedings, World Bank Annual Conference on Development Economics, The World
Bank.
Carnoy, M. (1990), "The New Information Technology-International Diffusion and Its Impact on
Employment and Skills: A Review of the Literature," PHREE Working Paper, The World
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Enos, John (1962), "Invention and Innovation in the Petroleum Refining Industry", The Rate and
Direction of Inventive Activity, K. Arrow (ed.), Princeton University Press.
Griliches, Zvi (1979), "Issues in Assessing the Contribution of R&D to Productivity Growth",
Bell Journal, 10, 92-116.
Lucas, Robert (1988), "On the Mechanics of Economic Development", Journal of Monetary
Economics, 22, 3-32.
Lillard, Lee and Hong Tan (1992), "Private Sector Training: Who Gets It and Why", in Ron
Ehrenberg (ed.), Research in Labor Economics, Vol. 13.
Maddala, G.S. (1983), Limited Dependent and Qualitative Variables in Econometrics,
Cambridge University Press.
Mairesse J. and M. Sassenou (1991), "R&D and Productivity: A Survey of Econometric Studies
at the Firm Level", NBER Working Paper 3666.
Mincer, Jacob (1989), "Labor Market Effects of Human Capital and of its Adjustment to
Technological Change", Department of Economics, Columbia University.
35



36 Enterprise Training in Developing Countries
Pack, Howard (1992), "Learning and Productivity Change in Developing Countries," in G. K
Helleiner (ed.), Trade Policy, Industrialization, and Development, Oxford: Clarendon
Press.
Pack, Howard and Larry Westphal (1986), "Industrial Strategy and Technological Change:
Theory Vs Reality," Journal of Development Economics, 22, 87-128.
Romer, Paul (1989), "Human Capital and Growth: Theory and Evidence", NBER Working Paper
No. 3173.
Setzer, Francis (1974), "Technical Change over the Life of a Product: Changes in Skilled Inputs
and Production Processes", Ph.D. Dissertation, Yale.
Tan, Hong (1980), Human Capital and Technological Change: A Study of Wage
Differentials in Japanese Manufacturing, Ph.D. Thesis, Yale University.
Tan, Hong, Bruce Chapman, Chris Peterson and Allison Booth (1992), "Youth Training in the
U.S., Great Britain, and Australia", in Ron Ehrenberg (ed.), Research in Labor
Economics, Vol. 13.
Welch, Finis (1970), "Education in Production", Journal of Political Economy, 350-366.



Annex Tables
Table A.1: Probit Estimates of the Training Equation by Source of Training, Colombia
Dependent Variable: Do Train
Independent Variable             Any Formal Training  Internal Formal Training  External Training
Size 2 (16-100 workers)                0.499b                -0.550                0.474b
(0.223)                (0.442)              (0.223)
Size 3 (101-250 workers)               1.178a                 0.189                 1.079a
(0.251)                (0.417)              (0.249)
Size 4 (>250 workers)                  0.839'                 0.129                0.824a
(0.303)                (0.471)              (0.302)
Exports                                0.368                  0.631                0.3 lb
(0.155)                (0.215)              (0.152)
Age                                   -0.006                  0.002               -0.006
(0.004)                (0.006)              (0.004)
Multi-plant status                     0.236                  0.3900               0.224
(0.181)                (0.216)              (0.178)
Education                              0.070                  0.064b               0.063'
(0.020)                (0.032)              (0.020)
Proportion of skilled labor            0.245                 -0.028                0.026
(0.489)                (0.695)              (0.479)
% Value of Automatic machinery         0.001                  0.001                0.002
(0.002)               (0.002)               (0.002)
Quality control                        0.301                  0.187                0.305
(0.205)               (0.248)               (0.203)
Proportion of female workers          -0.665b                 0.034                0.703b
(0.292)               (0.438)               (0.289)
Unionization                           0.742'                -0.189                0.779'
(0.242)                (0.258)              (0.239)
R&D                                    0.103                  0.5950               0.104
(0.157)               (0.315)               (0.156)
Constant                              -0.879'                -2.775'               0.75e
(0.343)                (0.580)              (0.337)
Log (likelihood)                     -250.81                -114.87               -256.58
Notes:
': Significant at 1%
b: Significant at 5%
C Significant at 10%
Numbers in parantheses are standard errors.
The size categories are defined with respect to micro enterprises (those with 15 or fewer workers).
37



38 Enterprise Training in Developing Countries
Table A.2: Probit Estimates of the Training Equation by Source of Training, Indonesia
Dependent Variable: Do Train
Independent Variable                 Any Fornal Training   Internal Formal Training   External Training
Size 2 (16-100 workers)                      0.416                  0.069                   0.575'
(0.268)                (0.383)                 (0.282)
Exports                                      0.055                  0.0990                  0.059
(0.045)                (0.054)                 (0.046)
Age                                         -0.006                 -0.007                  -0.004
(0.007)                (0.011)                 (0.007)
Multi-plant status                          -0.030                  0.011                  -0.034
(0.035)                (0.041)                 (0.036)
Education                                    0.137b                -.058                  -0.13e
(0.058)                (0.079)                 (0.059)
Proportion of skilled labor                 -0.070                 -1.029                  -0.176
(1.399)                (2.155)                 (1.461)
% Value of Automatic machinery               0.002                  0.005                   0.002
(0.004)                (0.005)                 (0.004)
Quality control                              0.148                  0.288                   0.091
(0.223)                (0.309)                 (0.229)
Proportion of female workers                -1.629'                -1.947a                 -1.425'
(0.485)                (0.748)                 (0.497)
Foreign ownership                            0.469                  0.371                   0.58r7
(0.310)                (0.383)                 (0.314)
R&D                                          0.074                  0.382                  -0.101
(0.331)               (0.399)                  (0.344)
Constant                                     0.987                 -0.167                   0.400
(0.893)                (1.118)                 (0.913)
Log (likelihood)                           -98.50                  -51.57                  -92.22
Notes:
3:Significant at 1%
b: Significant at 5%
C: Significant at 10%
Numbers in parantheses are standard errors.
The size category is defined with respect to micro enterprises (those with 15 or fewer workers).
The negative effect of education on the likelihood of training is probably due to the high proportion of female labor enployed.
Female workers, on average have lower educational levels, and the education and female labor variables are negatively
correlated (magnitude of the correlation coefficient is 0.55 and above in these three specifications).



Annex Tables 39
Table A.3: Probit Estimates of the Training Equation by Source of Training, Malaysia
Dependent Variable: Do Train
Independent Variable                Any Formnal Training   Internal Formal Training   External Training
Size 2 (16-100 workers)                   0.362b                   0.385                  0.221
(0.176)                  (0.193)                (0.232)
Size 3 (101-250 workers)                  0.939'                   0.801'                 0.924'
(0.176)                  (0.192)                (0.228)
Size 4 (>250 workers)                     1.446'                   1.182'                 1.477T
(0.193)                  (0.207)                (0.084)
Exports                                   0.027                    -0.012                 0.030
(0.074)                  (0.077)                (0.084)
Age                                      -0.005                   -0.003                 -0.003
(0.003)                  (0.003)                (0.003)
Multiplant status                         0.106                    -0.019                 0.116
(0.076)                 (0.076)                 (0.079)
Education                                 0.064'                   0.088'                 0.062'
(0.019)                  (0.019)                (0.021)
Proportion of skilled labor               1.742'                   0.635'                 1.938'
(0.255)                 (0.254)                 (0.259)
% Value of Automatic mnachinery           0.002                    0.001                  0.004'
(0.001)                  (0.001)                (0.001)
Quality control                           0.272'                   0.309                  0.16'b
(0.070)                  (0.071)               (0.076)
Proportion of female workers              0.065                    0.025                  0.048
(0.127)                  (0.128)                (0.141)
Unionization                              0.158'                   0.082                  0.215a
(0.083)                 (0.083)                 (0.086)
R&D                                       0.365'                   0.395a                 0.334'
(0.078)                  (0.076)                (0.080)
Foreign ownership                         0.188'                   0.243a                 -0.029a
(0.072)                 (0.073)                 (0.079)
Constant                                 -1.808'                  -2.305'                -2.331'
(0.326)                  (0.336)                (0.374)
Log (likelihood)                       -1133.40                 -1090.86                -918.22
Notes:
': Significant at 1%
b: Significant at 5%
C: Significant at 10%
Numbers in parantheses are standard errors.
The size categories are defined with respect to micro enterprises (those with 15 or fewer workers).



40 Enterprise Training in Developing Countries
Table A.4: Probit Estimates of the Training Equation by Source of Training, Mexico
Dependent Variable: Do Train
Independent Variable              Any Fornal Training  Internal Formal Training   External Training
Size 2 (16-100 workers)                  0.802a                0.569                  0.856a
(0.079)              (0.091)               (0.086)
Size 3 (101-250 workers)                  1.116"               0.971a                 1.112a
(0.081)              (0.091)               (0.087)
Size 4 (>250 workers)                     1.261a               1.251                 1.281a
(0.085)              (0.094)                (0.091)
Exports                                   0.131'               0.118b                 0.113b
(0.049)              (0.048)                (0.047)
Age                                      0.001                -0.001                  0.001
(0.001)              (0.001)                (0.001)
Multi-plant status                        0.097c               0.161'                 0.060
(0.049)              (0.048)                (0.048)
Education                                 0.034a               0.029'                 0.035a
(0.009)              (0.010)                (0.009)
Proportion of skilled labor              0.137                 0.240                  0.354b
(0.144)              (0.154)                (0.145)
% Value of Automatic machinery           0.001                 0.001                  0.001
(0.001)              (0.001)                (0.001)
Quality control                          0.231b                0.242b                 0.215b
(0-096)              (0.107)                (0.099)
Proportion of female workers              0.057                0.055                  0.003
(0.089)              (0.091)               (0.088)
Unionization                             0.3 lob               0.336'                 0.198'
(0.051)              (0.053)                (0.051)
R&D                                      0.209a                0.186'                 0.183'
(0.042)              (0.041)                (0.041)
Foreign ownership                         0.045                0.064                  0.078
(0.057)              (0.055)                (0.055)
Constant                                 -1.783'              -2.164"                -2.029a
(0.143)              (0.158)                (0.149)
Log (likelihood)                     -2971.97               -2982.29               -3116.32
Notes:
': Significant at 1%
b: Significant at 5%
' Significant at 10%
Numbers in parantheses are standard errors.
The size categories are defined with respect to micro enterprises (those with 15 or fewer workers).



Annex Tables 41
Table A.5: Probit Estimates of the Training Equation, Taiwan (China)
Dependent Variable: Do Train
Independent Variable                                                Any Formal Training
Size 2 (16-100 workers)                                                   0.4953
(0.036)
Size 3 (101-250 workers)                                                  0.687a
(0.055)
Size 4 (>250 workers)                                                     0.682'
(0.069)
Exports                                                                   0.257S
(0.034)
Age                                                                       0.004b
(0.002)
Multi-plant Status                                                        -0.001
(0.001)
Proportion Skill Labor                                                    0.371'
(0.069)
Female Workers                                                           -0.005
(0.009)
R&D                                                                        1.689'
(0.035)
Foreign Ownership                                                         0.347'
(0.069)
% Value of Automatic Machinery                                            0.344
(0.051)
Unionization                                                              0.246'
(0.037)
Constant                                                                  -2.898'
(0.074)
Log Likelihood                                                          -4617.93
Notes:
':Significant at 1% level.
b: Significant at 5% level.
Numbers in parentheses are standard enors.
The size categories are defined with respect to micro enterprises (firms with 15 or fewer woriers).



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