POLICY RESEARCH WORKING PAPER 1276 Is There Persistence Asymmetry in the income elasticity, of demand, and t-- in the Growth observed persistence of of Manufactured Exports? exports, suggest that long- term buyer-supplier relationships lead to the creation of 'insiders' and Evidence from Newly 'outsiders' in the world Industrializing Countries market for manufactured goods - a condition that Ashoka Mody tends to perpetuate itself. Kamil Yilmaz Tlhe World Bank Polity Research Department Trade Policy Division March 1994 I POLICY RESEARCH WORKING PAPER 1276 Summary findings Price and income elasticities estimated from a country's More importa;.t, when world income rises, exports export demand function are used both to predict and to rise relatively uniformly for different country groups. As prescribe effective export strategies. But the focus on world income contracts, the decline in exports is greater elasticities has led to the neglect of an important and is especially sharp for certain countries. empirical regularity: a strong persistence in the growth Mody and Yilmaz infer from this asymmetry in income rate of a country's exports. elasticity of demand, and from the observed persistence Mody and Yilmaz shift the spotlight to this of exports, that long-term buyer-supplier relationships phenomenon and describe the degree and pattern of lead to the creation of "insiders" and "outsiders" in the persistence. world market for manufactured goods, a condition that They find that a country's exports are influenced not tends to perpetuate itself. only by the elasticities, but also by the quality of its transactional infrastructure (proxied by the penetration of telecommunications). This paper - a product of the Trade Policy Division, Policy Research Department - is part of a larger effort in the department to study the factors which directly or indirectly affect the export performance of less developed countries Copies of this paper are available free from the World Bank, 1818 H Street NW, Washington, DC 20433. Please contact Minerva Patefia, room N10-013, extension 37947 (43 pages). March 1994. The Policy Research Working Paper Se,*s disseninates the findings of work in progress to encourage the exdhange of ideas about development issues. An obfective oftheseries is to get the findings out quickly, even if the presentationsare kss thanfullypolished. The papers ca4ry the names of the authors and should be used and cted accordingly. The findings, interpretations, and concusions are the authos' oum and should not be attributed to the WorldBank, its EecutiveBoard of Diretors, or any of its member countries. Produced by the Policy Research Dissemination Center IS THERE PERSISTENCE IN THE GROWTH OF MANUFACTURED EXPORTS ? Evidence from Newly Industrializing Countries Ashoka Mody and Kamil Yilmaz The World Bank This paper has benefitted from comments by Bela Balassa, Nancy Barry, Ken Chowmitz, Mary Lou Egan, Ann Harrison, Kala Krishna, Jenny Lanjouw, Bee Roberts, James Tybout, David Wheeler and, especially, Mark Schankerman. I. Introduction A country's export demand function relates its export volume to the relative price of its products and to the incomes of international buyers. Price and income elasticities of demand estimated from such functions are used both for predicting exports and prescribing effective export strategies. The focus on price and income elasticities has, however, led to the neglect of an important empirical regularity: a strong persistence in the growth rate of a country's exports. Persistence can arise from a slow adjustment to short-term demand fluctuations, lasting typically for several quarters. Such inertia is of limited interest to us. In this paper, we are concerned with a persistence of much longer duration, implying the influence of institutional features that exert long-lasting effects on export growth. Evidence on persistence can be seen in different versions of export demand functions. When the variables are expressed in levels, export demand functions tend to systematically over- or under-estimate export levels: in other words, the "residuals" (actual minus estimated exports) have a high degree of positive serial correlation, reflected in Durbin-Watson statistics of the order of 0.75 (see, for example, Krugman and Baldwin 1987, Landesmann and Snell 1989, and Bhalla 1989). This same characteristic of export growth is seen more sharply when the variables of the demand function are represented as rates of growth: in addition to growth explained by price and world income changes, a non-zero, country-specific growth rate (fixed effect) is observed. More often, persistence in export growth rates is obscured due to the use of ad hoc procedures when estimating export demand functions. First, long- term persistence is misread as a short-term adjustment to excess supply and demand conditions and is accounted for (incorrectly, in our judgement) by the inclusion of lagged export volume as an "explanatory" variable (for a recent 2 example, see Marquez and McNeilly 1988). Second, persistent evolution of export volumes is subsumed in high income elasticities of demand. For some industrial countries (notably Japan) and many developing countries, income elasticities are in the range of 2.5 to 5.0, i.e., a one percent increase in world income increases their exports by 2.5 to 5 percent (see Marquez and McNeilly 1988 for a review of selected studies). Recently, Muscatelli, Sr ivasan, and Vines (1992) estimated Hong Kong's income elasticity of demand to be 4.2. Most authors are generally uncomfortable when reporting such high elasticities. Muscatelli, Srinivasan and Vines (1992), for example, note that the high elasticities are due to: "a failure of conventional models of export flows (including our own) to identify important forces causing shifts in export demand: 'income effects' thus probably subsume a variety of other non-price factors." We will show that while their instinct on shifts in demand are right, their interpretation of high income elasticities is probably faulty. Finally, Helkie and Hooper (1988) provide a more explicit accounting of persistence, using the stock of capital in the exporting country as a proxy for secular changes in the capability to supply an increasing range of products. Their defense for "this unabashedly ad hoc adjustment is that the existing price indexes do not adequately capture the price effects of the introduction of new product lines." Similarly, Krugman and Baldwin (1987) add a time trend variable to their export demand equation to account for long-term changes. Our purpose is to cast a spotlight on the long-term persistence found in the data, examine its robustness, seek statistical proxies that may account for the persistence, and provide an interpretation of the observed patterns. In pursuing this investigation, we believe that we have identified a much richer set 3 of export determinants than are implied in the traditional models t1at focus on income and price elasticities and short-run adjustment. Our first effort is to identify and examine sources of errors and biases that may lead to exaggerated estimates of the persistence effect. A specific concern is the existence of errors in the measurement of relative price. Aw (1992) and Feenstra (1992) have taken the approach that such errors are minimized when the demand equation is estimated for narrowly defined products rather than for manufactured goods as a whole. Although measurement errors obviously exist, and the choice of instruments used to account for the errors has an influence on estimated price elasticities, these considerations are not sufficient to explain away the long-term country-specific persistence.! We suggest that the observed persistenci reflects a diffusion of demand from industrial'zed to newly industrializing economies and zould be considered an evolution by developing country exporters from "outsider" to "insider" status. An outsider is a marginal supplier; an insider is a supplier with whom the buyer has a long-term relationship in which both parties have made (tangible and intangible) investments. Insiders are part of an extensive network of buyer-supplier relationships and draw on this capital to maintain high growth rates. We provide ind4rect evidence of an "insider-outsider" phenomenon in world markets for manufactured goods by examining asymmetries in the income elasticity of demand for different groups of countries. Specifically, we find that the magnitude of the export response depends upon whether the buyers' incomes rise or fall. When world income rises, exports rise relatively Y/ Benhabib and Jovanovic (1991) also observe persistence over 15 to 25 years in the growth rates of per capita incomes in a wide range of countries. 4 uniformly for different country groups; the decline in exports with world income contraction is larger and especially sharp for certain countries. Suppliers facing high elasticities on the down-side are marginal to the buyer. When the distinction between the rise and fall of world income is not made, high (average) elas:,icities are often incorrectly interpreted as a sign of successful export performance. Countries that have profited from the shift to insider status have not been passive beneficiaries. Racher, they have invested in improving their transactions infrastructure, making them easier to do business with. The development of a country's telecommunications network appears to be a partial proxy for the ability to deliver time- and communication-sensitive services that are relevant for developing country exports of such goods as garments, shoes, bicycles, consumer electronics, and auto parts. The paper is organized as follows. In section II, we describe how the degree of persistence has varied across (and within) countries over time. We also discuss and evaluate issues relating to mismeasurement and the choice of proper instruments. In Section III, we examine asymmetries in the income elasticity of demand. The use of telecommunications as a proxy for the quality of a country's transactional infrastructure is described in Section IV. In Section V, we present a model of demand diffusion and long-term contracts that is consistent with the observed evidence. The conclusion evaluates the evidence and comments on its policy relevance. II. Patterns of Persistence We begin with the following demand equation: (1) A.ogE,d = X + A1og(PidP,) al Alog(PX.1/Pl'.A) * PAlogy,, Equation 1 is designed to estimate a set of parameters from pooled observations, for a number of countries and several years. Each variable is defined for a country i and a time t. Ed is the demand for a country's exports, px is the price of the country's exports, pw is the price of exports by competitors (proxied by a world price index) and yw is the world income relevant to the country (the weighted sum of the purchasing countries' GDP, where the weight is the average share of each purchasing country in the total exports of the country in question for the sample period).V The coefficients a and S are the price and income elasticities of demand, respectively.y The symbol A indicates that the equation is specified in first differences (which approximates to the rate of growth when variables are expressed in their logarithmic value). I/ We choose to use the average export share for the sample period, rather than the export share for the corresponding year to avoid the possibility of introducing endogeneity into our world income variable. v Riedel (1988a) has argued that the results are substantially different when, in contrast to the procedure adopted here, price is used as the dependent variable and export volume is the independent variable. Muscatelli, Srinivasan, and Vines (1992) show, however, that the normalization (or the choice of the dependent variable) does not matter once serial correlation and endogeneity are accounted for. Riedel's results, therefore, appear to arise from the non- stationarity of the variables, leading to a "spuriously" strong correlation between the country's export price and the world price and eliminating all other partial correlations. 6 Of specific interest is y;, which in our pooled cross-section time- series setting summarizes, for each country i, the effect of country features that we do not observe. These unobserved country features include variables that are difficult to observe, such as the strength of international marketing relationships between suppliers and their international buyers, or can in principle be observed but can be measured only imperfectly, such as the quality of a country's infrastructure. These features are a potential cause of export growth persistence, and hence we begin our description of the data by treating y as our measure of persistence. As constructed, y1 remains unchanged over time; however, by considering overlapping slices of time, we are also able to follow the evolution of yi. The questions of interest are: first, are the yi's different from zero, i.e., is there persistence in export growth rates; and, second, are the yj's different from each other, or do the influences causing persistence vary by country? If the yi1s are different from zero and from each other, then the unobserved differences across countries apparently have a significant influence on export growth. Benhabib and Jovanovic (1991) note that persistence in per capita income growth rates across countries could either reflect country-specific features or all countries could be influenced by the same stochastic forces but the specific realization for different countries could vary and cause long-term differences. They favor the latter interpretation for its parsimony. While empathizing with this view, we choose to focus on the specific country correlates 7 of persistence rat-her than attempting to identify the common stochastic structure of knowledge and institutional evolution. It is common in such estimations to allow for lags in the response of exports to the variables influencing them. We allow throughout for lags in response to price changes. Hence the previous year's price (with the subscript "t-1") is included as an explanatory variaile. Landesmann and Snell (1989! and Krugman and Baldwin (1987) s"ow empirically that lags in the world income variable do not have much explanatory power. Landesmann and Snell argue that this is to be expected since changes in relative prices require shifting to new buyers and hence imply d lag, whereas changes in world income do not require such shifts and hence lags are not likely. Our estimations confirmed this result and we do not report them here. A. TestinQ the Specification The export demand function is estimated for a set of 20 developing countries, from 1972 to 1985. Results for 13 developed countries over the same period are used wherever relevant. The data for developing -;ountries are pooled when estimating the demand function. The advantage in pooling the data is that we have sufficient degrees of freedom to estimate the coefficients with some accuracy; the disadvantage is that the price and income elasticities are assumed to be equal across the countries. We show in the next section that the basic finding of persistent country-specific fixed effects remains unaltered even when price and income elasticities are allowed to vary across the countries in t}._ 8 sample. To allow for the possibility of simultaneous determination of export volume and relative prices, we use the two-stage least squares procedure (2SLS), where the instruments used for the endcgenous relative price variable are: lagged exports (AEt1,t2), lagged relative export prices (A(PV/P"') t.IJ2), current world prices (APWt), current and lagged wages (A'Wt,l), current and lagged world income (AY.1W,t_2), and lagged imports of capital goods (AN-I.t-2) -- all variables are expressed in logs. In the first equation of table 1, yi are free to take on any value, allowing for the possibility that yi differ by country. This is our most general model. The hypothesis that the yi are equal to zero is rejected very strongly (the p-value for the X2-statistic is 0.005). The hypothesis that all yl are equal, though not necessarily zero, is also rejected with a p-value of 0.016. Thus the evidence on country-specific fixed effects terms, and hence on the persistence of growth rates in specific countries, is strong. Differences in fixed effects between countries are also evident; as we shall see below, two groups of countries have very different fixed effects and also face different buyer behavior. The second column in table 1 shows that the 20 developing countries as a group experienced a statistically significant persistent growth of 4.4 f In the presence of heteroskedasticity the least squares standard errors are biased. In our estimations we use a consistent estimator of the covariance matrix (White 1980). We use the Wald test for the joint significance of the coefficients, the statistic for which has a Chi-square distribution. 9 percent a year, over and above that explained by relative price and world incone changes. It is sobering to reflect that during this period the average rate of growth of manufactured exports from these countries was 12 percent; thus about one-third of export g.owth depended upon factors not conventionally accounted for. When the second and third columns i5 table 1 are compared, a--counting for persistent growth rates substantially lowers the income elasticity of demand from 4.1 to 3.1. For individual countries, such as Turkey, Indonesia, and Republic of Korea, the proportion of growth explained by the persistent country-effect was much larger than the average of one-third for all countries (see column 4 in table 2). At the other extreme, a few countries that had negative underlying persistent growth rates could have doubled their export growth if they had lost their handicap. Another way to assess the importance of country-specific effects is to subtract them from the actual growth rate to arrive at the growth rate that would have occurred if the underlying persistent country-specific export growth rate had been zero (column 3). Though the actual growth rates vary substantially, the growth rates net of country-specific fixed effects are much closer to each other. In other words, if the countries with high fixed effects terms did not have their unobserved advantages, and the countries with low fixed effects terms did not have their unobserved disadvantages, the export growth rates of different countries would have been fairly closel The implication is that the degree of relative price changes or the choice of specific export destinations had a much smaller bearing on export performance than the factors 10 that caused the persistent growth rates. A similar experiment with the developed countries yielded interesting results. The residual growth rates for these countries are relatively small, generally between -2 and 3.6 percent, and these could not be considered statistically different from zero.y As expected, Japan has a positive residual growth rate, but it is small (less than 3 percent). Somewhat surprisingly, Germany has a small negative residual growth rate. As we discuss below, the relatively small size of the residual growth rate for developed countries suggests that the impact of non-price and non-income factors on the demand for exports tends to diminish as the country secures its position as an insider in international markets. B. Country Groups One potential problem with our estimates of y1 is that the price and income elasticities have been constrained to be equal across countries. Hence, if the countries with rapidly growing exports had larger elasticities, averaging across countries would result in high positive estimated fixed effect coefficients; similarly, it would not be surprising if countries with negative fixed effect coefficients are losing market shares as a result of below-average income and price elasticities. Ideally, the export demand function should be estimated for each The residual growth rates for developed countries are not reported in a separate table, as they are not the main focus of the paper. 11 country. However, the limited degrees of freedom make the estimates imprecise as well as unstable. To overcome this limitation we adopt two strategies. First, we allow the price elasticities for specific countries to differ from the average -- for example, we allow the price elasticity of Turkey and Indonesia, which have the highest fixed effects estimates, to differ from that of other countries in Group I (by creating dummy variables for each of these countries and interacting the dummy with the relative price). The results show that income and price elasticities for these countries are not statistically different from the elasticities for other developirng countries (with a p-value of 0.76), and that large fixed effects remain. The second strategy was to split the countries into two groups -- thopq with positive fixed effects (Group I) and those with zero or negative fixed effects (Group II). Using the Chow specification test, we tested whether splitting the countries in this fashion is supported by the data. The data strongly reject the restrictions imposed by pooling all developing countries in the sample, with an F-statistic of 6.88 and a p-value of 0.02 percent, thus supporting the split. Certain countries on the margin were not easy to classify; however, the exact composition of the two groups did not alter the results. To be precise, the general observations from the regression results remain unaltered; the interpretation of the performance of the specific countries on the margin, however, does change. The following differences between the two groups emerge. First, the average fixed effect for Group I is 9.4 percent and significantly different from 12 zero with a t-value of 4.69, whereas the average fixed effect for Group II is -1.0 percent and statistically insignificant with a t-value of -0.38. The price elasticities for the two groups (the sum of the current and lagged values) are quite similar. The point estimate of the income elasticity for Group II is actually higher than that for Group I. Though the difference between the income elasticities of the two groups is not statistically significant, the larger point estimate for Group II is unexpected and we return to this issue below. Table 3 shows that country-specific fixed effects are significantly different from each other in Group I, the p-value of the X2-statistic is 0.006. As can be expected, the fixed effects terms obtained for individual countries are now different from the ones obtained from pooling all developing countries. However, the orders of magnitude and relative rankings are verv similar (compare the first and the last columns in table 2). The persistent growth rates of Indonesia and Turkey are 19 and 17 percent, respectively, whereas Korea's is 12 percent. When equation 1 is estimated for Group I countries, Portugal's fixed effects term becomes positive (in contrast to the result when it is estimated for all developing countries, see Table 2). Group II countries have negligible country-specific fixed effects when considered as a group, though some have individually negative residual growth rates. India, for example, records -3 percent. Venezuela has a relatively high 3.3 percent; however, the time pattern of the growth rate is erratic, in part because its exports tend to be dominated by petroleum-related products. Accordingly we keep it in Group II. 13 Note also from table 3 that the income elasticity of demand is lower for the products from developed countries than the ones from developing countries -- this is commonly observed and attributed to the inclusion of high-growth countries in the developing country sample. However, Table 3 shows that the difference between developed and developing countries' income elasticities originates in part from the high elasticity for the Group II countries (3.53), which have low export growth rates and, typically, negative fixed effects. The paradox of high income elasticities in Group II countries is discussed in Section III, leading to a new interpretation of conventionally estimated income elasticities. C. Persistence To study changes in the country-specific fixed effects over time, we create seven-year overlapping "windows" in our sample period. The first window covers 1972-1978, the second: 1973-1979, the third: 1974-1980, and so on. We thus have eight windows. For each window we estimate the export demand equation. For each country, therefore, we obtain eight yis. (See Figure 1, where it should be noted that year refers to the final year of the window.) Despite fluctuations, most countries in Group II (Argentina, Colombia, Chile, India, Pakistan, Yugoslavia, and Israel) had low fixed effects throughout the period (Figure la) ; in contrast, most countries in Group I (South Korea, Singapore, Brazil, Malaysia, Thailand, Philippines, Spain, and Greece) had relatively high fixed effects (Figure lb). 14 However, both increasing and decreasing trends are also discernible, indicating that the groups are not closed. Indonesia, Turkey, Portugal, Venezuela, and Mexico have steadily increased the size of their fixed effects (Figure ic). Significant realignments occurred from 1981 to 1983, during a severe downturn in global economic activity. In these years, some of the East Asian newly industrializing economies (such as Korea, Singapore, and Taiwan) experienced rapid wage growth. Countries that increased their fixed effects coefficients during those years have continued to increase them. A number of countries suffered a sharp decline in fixed effects coefficients during that period and have not recovered: most of these were countries that already had low fixed effects -- India, Israel, Argentina, Chile, Colombia, and Yugoslavia; however, Greece and Philippines also suffered. Further, in the early 1980s, estimated fixed effects coefficients of countries that performed very well in the 1970s, including South Korea, Singapore, Brazil, Malaysia and Thailand began to decline (Figure lb). If the high fixed effects term represents the transition from outsider status to the ranks of the insiders, a decline in the fixed effect toward zero represents their maturity as insiders. We draw three inferences from these observations. First, the growth of exports due to unobserved factors tends to persist over time within a country. Second, when underlying cost conditions change, and for instance, Group I countries become expensive producers, new entrants are likely to gain. Third, these shifts take place over time but can be accentuated by downturns in the 15 world economy. During such periods international buyers seek new suppliers. Firms and countries that are well-positioned in such years stand to make large gains. D. Mismeasurement and Incorrect Instruments Since the country-specific persistent influences could be merely a reflection of errors in measuring the relevant price and income variables, it is necessary to take into account the proposition that if all variables were correctly measured, the observed persistence would disappear. The implication would be that price and/or income elasticities are much higher than typically estimated. A similar argument would hold if the simultaneous determination of export prices and volumes was not fAlly accounted for. The use of incorrect instruments for relative price in the export demand function would lower the (absolute) value of the price elasticity of demand. A common problem in estimating export demand functions is that the price variable is not measured correctly. The unit values typically used, as is the case here, do not account adequately for changes in the composition of exports. Thus, for countries that shift toward products with higher prices per unit of product sold (from t-shirts to televisions), the unit value index understates the price increase (See Alterman 1991, who finds that this has been the case for U.S. imports from some developing countries). Other factors will lead to an overstatement of the price change by the unit value index. If new products include an increasing fraction of a 16 country's exports, the true price index for the enlarged bundle of goods will be lower than the conventionally measured index (see Feenstra 1992). The effect of the increased bundle of goods is identical to unmeasured quality improvements or greater "taste" for that country's goods in world markets. Feenstra (1992) has attempted to construct price indices that reflect the introduction of new products and the exit of old products in the goods supplied by developing countries. As noted, Helkie and Hooper (1988) use a more direct (though more approximate) approach by including in their demand function the capital stock of the supplying country as a proxy for the ability to supply new products. In our estimates, the measurement problem is alleviated by the use of instrumental variables and by data transformation. In correcting for simultaneity, we use wage rates and other proxies for production conditions as instruments. In general, the solution for simultaneity is the same as that for measurement error, and we have, in principle, corrected for simultaneity. The question is whether our correction is adequate. Specifically, have we adequately accounted for influences on the supply of exports? If not, the persistence being picked up in the demand function could well be the result of ignoring supply factors rather than a feature of the demand function. We do not believe that it will be possible to fully resolve the question of whether the observed persistence derives from supply or demand factors. However, additional results suggest that while we have not fully accounted for all supply influences, efforts at refining the export supply 17 equation are not likely to have much power in eliminating the persistence effects observed. To test the sensitivity of our results to the choice of instruments, we experimented with dropping instruments individually or in groups. The overall conclusion is that neither the elasticities nor the fixed effects coefficients change significantly. Only when the world price was dropped from the list of instruments, the estimated price elasticity of the Group I countries increased, with no significant effect on the country-specific constant terms. These results are similar to those obtained by Feenstra (1992). In a more sophisticated correction of price changes, he finds that the quality- adjusted price for many developing countries rose more slowly than conventional estimates suggest. The correction leads, in his case, to a higher price elasticity of demand and a lower income elasticity, although the changes are limited in magnitude. A second approach to dealing with measurement errors is through the transformation of data. At least since Griliches and Hausman (1986), it has been known that specific transformations of panel data can be used to minimize the influence of measurement errors; it is also the case, however, that certain transformations of the data can exacerbate measurement errors. We measure the variables as rates of change (first differences of log values), a procedure that is generally considered to increase the "noise-to-signal" ratio, if the variable under consideration is serially correlated. However, Griliches and Hausman (p. 100) note that if the measurement error, rather than the variable itself, is 18 serially correlated, then first-differencing helps to reduce the noise and to increase the signal. In our situation, we can expect the measurement errors to be highly positively correlated, since quality and compositional changes in exports are not random effects that vary from year to year, but represent changes over time. This is at least partially borne out by the figures in Alterman (1991), in which unit value indices are compared with "true" price indices: the errors show significant positive serial correlation. Thus first-differencing is likely to be an effective method of reducing measurement errors. Griliches and Hausman (1986) propose a test to determine whether the presence of measurement errors is a source of bias in parameter estimates. The test involves a statistical comparison of the GLS (random effects) and the fixed effects (within) estimators. Adapting their framework and allowing for the possibility that the unit values reflect export prices only partially, we write the percentage change in the export unit value (AIh) as the sum of the percentage change in the unobserved export price (,Pit) and the measurement error (v1t): AIt = AP,t+vk. When the export demand equation (equation 1) is estimated with AI;, and AI; t-. rather than the true price variables, the residual term will incorporate a vt + a1vi., which will be correlated with AIft and AIj,t-l. If the measurement errors are negligible and there are no other sources of correlation between the residuals and the unit values, both models (GLS and fixed effects) will be unbiased and consistent; more importantly the parameter estimates from the two models (GLS and fixed effects) will be asymptotically equal. However, when the correlation 19 between the composite residual term and the observed export unit value is statistically significant, both models will produce biased parameter estimates and these estimates will not be close to each other. As a result, it is possible to test for the statistical significance of measurement errors indirectly via a test for the equivalence of the GLS and the fixed effect estimates using the Hausman specification test (Griliches and Hausman 1986). P-values for the Hausman test (which has a x2 distribution under the null hypothesis) are reported in Table 3 for both the first difference and the levels estimation. The test results show that the first-differences model is not plagued by the use of unit'value indices. In contrast, however, we cannot reach the same conclusion for the levels estimation. Hausman tests for all country groups have very small p-values, which implies that the levels estimation produces biased estimates due to measurement errors; the highest p-value is obtained for the developed countries. This result is consistent with the fact that the composition of exports from developed countries is more stablP over time compared to exports from developing countries, and that the quality of the data from developed countries is higher. III. Asvmmetries in Income Elasticity: Insiders and Outsiders Traditionally, the effect of non-price factors is thought to be captured by the response of exports to changes in world income (summarized in P, the income elasticity of demand). A high income elasticity of demand is 20 considered a measure of superior quality, although as noted, the relationship does not seem obvious from table 3. The income elasticity of demand for products from developing countries is much higher than that from developed countries. Should that be read to imply that developing countries export higher quality products? Within developing countries, it is much higher for the lagging Group II countries than for the dynamic Group I countries. Krugman (1989) suggests that the observed high income elasticity of demand for Japanese products reflects that country's ability to rapidly increase the variety of products sold on world markets. Muscatelli, Srinivasan, and Vines (1992) similarly suggest that Korea, Taiwan, and Hong Kong have benefitted through expanding the range of products for sale. However, as noted, our estimates show that the slow-growing (Group II) countries have a higher income elasticity than the Group I countries, which is contrary to what would be expected if income elasticity were a good measure either of product quality or of expanding product variety. The paradox is resolved when we consider the possibility that exports respond asymmetrically to changes in world demand. We test the proposition that income elasticity is different when world income rises than when it falls in the following equationYV: More refined non-linear responses could be tested but the results presented are striking enough. The years in which world income fell were: 1974, 1975, and 1982. 21 (2) AlogLie = yi £0Aog(Pt/P¢) + a1Alog(e ,w,/P'.) + V (AlogY7eV + + 1*- [AlogY7eV where: AlogY' if AlogY P0 (AlogYl = O otherwise. AlogYr if AlogYl