Comparative statistics among OECD countries

In this study, I will confine the analysis to OECD countries. This has two methodological advantages. First, it will provide a relatively consistent sample of countries to be used in testing a wide range of models though, in some cases, missing observations will force the exclusion of one or more of these countries. Second, it will mitigate, to some extent, problems of comparability of educational data. However, it should be stressed even at this point that educational systems do differ even among OECD countries. For example, as Maddison 1991 notes, standardized tests of cognitive achievement are usually much lower in the U.S. than in other industrialized countries at the same grade level. Moreover, some countries, such as Germany, have an extensive system of apprentice training integrated with part-time education, which is not reflected in the figures for formal schooling. 6 Thus, comparisons of standard measures of formal schooling even in this select sample of countries must be interpreted cautiously. We shall return to this point again in the conclusion of the chapter. The remainder of this paper is organized as follows: The following section Section 2 provides descriptive statistics on productivity levels and on educational enrollment and attainment for OECD countries. Section 3 reports econometric results on the effects of educational enrollment and attainment levels on per capita income growth. Section 4 analyzes the role of the growth in educational capital on productivity and output growth. Section 5 investigates evidence on interactive effects between education and RD. Implications are outlined in the concluding part.

2. Comparative statistics among OECD countries

We begin with measures of real GDP 1985 dollar equivalents per worker RGDPW. Computations for 1950 – 1990 are based on the variable RGDPW from Penn World Table PWT Mark 5.6 see Summers and Heston, 1991, for a description of the database. Computations for 1995 are based on the variables GDPD Gross Value Added in US Dollars and ET Total Employment from the OECD ISDB International Intersectoral Database for 14 OECD countries. The PWT figures for 1990 are used as benchmarks, and the figures are updated to 1995 on the basis of the growth rate of labor productivity for 1990 – 1995 computed from the ISDB data. The now familiar convergence story is evident. The coefficient of variation the ratio of standard deviation to mean among the 24 OECD countries listed in Table 1 declines by more than half between 1950 and 1990. Results are also shown for a sample of Industrial Market Economies IMEs, as classified by the World Bank, which consists of all OECD countries except Greece, Portugal, and Turkey. Convergence is even stronger among this group, with the coefficient of variation falling by almost two-thirds. The 14 ISDB countries are by and large the biggest 6 The OECD has recently changed this in their published education figures and now counts German apprentices as enrolled in full-time post-secondary education. 439 E .N . Wolff Structural Change and Economic Dynamics 11 2000 433 – 472 Table 1 Real GDP per worker RGDPW in OECD countries, 1950–1996 figures are in 1000s, 1985 Dollar Equivalents a Annual Growth Rate 1996 1950 1950–90 1950–96 1960 1970 1980 1990 32.7 1.59 1.58 27.3 30.3 25.2 19.3 16.1 Australia 26.7 5.9 3.79 10.7 18.0 23.5 Austria 34.6 2.66 2.56 31.7 10.9 14.3 Belgium 27.7 22.2 34.4 16.1 36.1 1.89 1.79 19.5 24.9 28.7 Canada 21.5 25.0 27.5 2.09 2.07 Denmark 10.8 14.8 20.0 21.8 27.4 32.4 3.41 3.41 Finland 7.0 11.6 17.0 32.1 3.10 2.88 30.4 21.6 13.5 26.8 France 8.8 29.5 7.3 31.9 3.48 3.27 13.9 21.3 27.3 Germany, West 15.5 17.7 4.09 Greece 3.4 5.2 10.9 25.0 8.7 2.64 12.6 15.6 22.5 Iceland 3.34 24.1 Ireland 6.3 18.4 13.2 8.4 30.8 6.3 34.5 3.97 3.78 11.1 19.4 26.8 Italy 23.4 Japan 5.41 2.6 4.89 5.0 11.5 16.3 22.6 2.46 37.9 28.5 25.4 Luxembourg 14.2 18.8 31.2 11.4 33.1 2.52 2.37 17.1 25.4 29.2 Netherlands 25.4 17.4 0.95 21.3 24.1 24.6 New Zealand 34.4 2.64 2.71 29.2 25.3 Norway 19.4 14.3 10.2 11.3 16.6 4.34 Portugal 2.9 4.9 8.4 4.16 26.4 Spain 5.0 21.4 16.6 8.2 28.4 13.2 32.8 1.91 2.02 17.4 23.2 24.9 Sweden Switzerland 15.0 1.96 20.1 27.2 29.5 32.8 3.85 8.6 1.9 Turkey 6.7 4.8 3.2 26.8 11.7 28.8 2.08 2.01 14.8 18.6 21.2 United Kingdom 31.7 36.8 38.8 1.46 1.42 20.5 United States 24.4 30.5 Summary statistics : All 24 OECD countries 27.3 Mean 13.5 9.7 23.3 19.3 6.3 5.0 5.6 6.2 6.0 Std. Deviation 440 E .N . Wolff Structural Change and Economic Dynamics 11 2000 433 – 472 Table 1 Continued Annual Growth Rate 1996 1950–90 1950 1950–96 1960 1970 1980 1990 0.26 0.23 0.32 0.41 0.51 Coeff. of Var. − 0.93 Correlation with 1950 RGDPW Summary statistics : 21 Industrial market economies all countries except Greece, Portugal, and Turkey Mean 10.7 14.8 21.0 25.0 29.2 4.0 3.9 Std. Deviation 4.6 4.7 4.5 0.15 0.14 0.32 Coeff. of Var. 0.22 0.42 − 0.92 Correlation with 1950 RGDPW Summary statistics : ISDB-14 countries 32.4 29.6 25.5 Mean 21.4 15.1 10.9 Std. Deviation 3.7 4.4 4.4 4.3 3.9 3.5 0.11 0.12 Coeff. of Var. 0.15 0.41 0.29 0.20 Correlation with 1950 RGDPW − 0.93 a Note : Sources: own computations from the Penn World Table Mark 5.6 and the OECD ISDB International Intersectoral Database. See the text for details. OECD economies, excluding countries such as Austria, Greece, Iceland, Ireland, New Zealand, Portugal, and Turkey. As a result, the convergence results for the ISDB countries are very similar to those for the 21 IMEs. However, after 1980, the rate of convergence in RGDPW slows markedly in all three samples. Catch-up is also evident, as indicated by the correlation coefficient between the 1950 RGDPW level and the rate of growth of RGDPW after 1950. The correlation coefficient is − 0.93 among all OECD countries, − 0.92 among the IMEs, and − 0.93 among the ISDB sample. The results indicate that the countries with the lowest productivity levels in 1950 experienced the fastest increase in labor productivity. The next five table Tables 2 – 6 show measures of educational levels among OECD countries. Table 2 shows gross enrollment rates, defined as the ratio of the number of persons enrolled in school to the population of the corresponding age group by educational level. There was almost 100 enrollment at the primary school level and almost no variation among countries in this group. In contrast, the average secondary school enrollment rate increased from 59 in 1950 to 94 in 1991 among all OECD countries and from 62 to 97 among the IMEs. The standard deviation remains fairly constant over time, while the coefficient of variation falls from 0.26 in 1965 to 0.15 in 1991 among all OECD nations and from 0.20 to 0.11 among IMEs — a reflection of the rising mean. The largest dispersion is found on the higher education level. In 1965, on average, only 13 of college-age adults were enrolled in tertiary school, with the U.S. the highest at 40 and Turkey the lowest at 4 Spain the lowest at 6 among IMEs. However, by 1991, the average enrollment rate had tripled to 39, with Canada now leading at 99 and Turkey the lowest at 14 Ireland the lowest at 24 among IMEs. 7 The standard deviation actually rises over time for both country samples, particularly between 1983 and 1991, while the coefficient of variation falls from 0.56 in 1965 to 0.36 in 1983 and then increases to 0.40 among all OECD countries and falls from 0.51 to 0.27 among the IMEs between 1965 and 1983 and then shoots up to 0.40 in 1991. 8 Educational attainment rates, defined as the proportion of the population 25 and over who have attained the indicated level of schooling or greater, are shown in Table 3 for years 1960, 1970, 1979, and 1996. A word should be said about the reliability of the data. Unlike the enrollment rate data of the preceding table, which appear to be relatively consistent over time, there are several anomalies in the attainment rate data. At the primary school level, there appear to be substantial declines in attainment rates for Greece and Ireland between 1960 and 1970; for Australia, Italy, the Netherlands, and the U.K. between 1970 and 1979; and for 7 The Canadian figure seems unrealistically high but that is what is reported in the various World Bank data sources. 8 If we exclude Canada, the standard deviation still rises for both country samples, though the coefficient of variation falls between 1983 and 1991 for all OECD countries and rises slightly among the IMEs. 442 E .N . Wolff Structural Change and Economic Dynamics 11 2000 433 – 472 Table 2 Gross enrollment rates in OECD countries by educational level, 1965, 1983 and 1991 a Primary school Secondary school Higher education 1965 1983 1991 1965 1983 1991 1965 1983 1991 0.82 0.16 0.26 0.39 Australia 0.99 1.05 1.07 0.62 0.92 1.04 0.09 0.25 0.35 0.74 0.52 Austria 1.06 0.99 1.07 1.02 0.15 0.28 0.38 Belgium 1.09 0.97 0.99 0.75 1.08 1.04 0.26 0.42 0.99 1.01 Canada 0.56 1.07 1.03 1.05 1.08 0.14 0.29 0.36 Denmark 0.98 1.01 0.96 0.83 1.05 1.21 0.11 0.31 0.51 1.03 Finland 0.76 0.99 1.02 0.92 1.01 0.18 0.28 0.43 France 1.34 1.08 1.07 0.56 0.89 0.99 0.09 0.30 0.36 0.74 Germany, West 0.63 1.07 1.00 1.06 0.98 0.10 0.17 0.25 Greece 1.10 1.05 0.97 0.49 0.82 0.99 0.29 0.88 0.80 Iceland 0.97 1.01 1.01 1.01 0.12 0.22 0.34 Ireland 1.08 0.97 1.03 0.51 0.93 0.76 0.11 0.26 0.32 0.75 Italy 0.47 0.94 1.03 1.12 Japan 0.97 1.00 0.13 0.30 0.31 1.00 1.02 0.82 0.94 0.74 Luxembourg 1.12 0.48 0.97 0.17 0.31 0.38 Netherlands 1.04 0.96 1.02 0.61 1.01 0.84 0.15 0.28 0.45 0.87 New Zealand 0.75 1.04 1.02 1.06 1.03 0.11 0.28 0.45 Norway 0.97 0.98 1.00 0.64 0.96 0.68 0.05 0.11 0.23 0.47 0.42 Portugal 0.84 1.22 1.22 1.08 0.06 0.24 0.36 Spain 1.15 1.11 1.09 0.38 0.90 0.91 0.13 0.39 0.34 0.85 Sweden 0.62 1.00 0.98 0.95 Switzerland 0.91 0.87 0.08 0.23 0.29 1.02 1.03 0.50 0.85 0.51 0.04 0.07 0.15 0.38 Turkey 1.01 0.16 1.10 1.12 0.85 0.92 0.86 0.12 0.20 0.28 1.01 1.04 0.66 United Kingdom 0.63 0.85 0.90 0.40 0.56 0.76 United States 1.06 1.00 1.04 Summary statistics : all 24 OECD countries 0.94 0.13 0.27 0.39 0.85 1.03 Mean 1.03 0.59 1.03 0.17 0.10 0.15 0.07 0.10 0.17 0.06 0.06 0.15 Std. Deviation 443 E .N . Wolff Structural Change and Economic Dynamics 11 2000 433 – 472 Table 2 Continued Primary school Secondary school Higher education 1965 1983 1991 1965 1983 1991 1965 1983 1991 0.26 0.19 0.15 0.56 0.36 0.40 Coeff. of Var. 0.10 0.06 0.05 23 22 22 23 24 23 Number 24 24 23 Summary statistics : 21 Industrial market economies all countries except Greece, Portugal, and Turkey 0.97 0.15 0.30 0.42 0.62 1.01 1.03 0.90 Mean 1.04 0.10 0.10 0.10 0.07 0.08 0.17 0.04 0.04 Std. Deviation 0.12 0.11 Coeff. of Var. 0.51 0.09 0.27 0.40 0.04 0.04 0.20 0.11 20 19 19 20 21 20 21 20 Number 21 a Note: The gross enrollment rate is defined as the ratio of total enrollment of students of all ages in primary school, and higher education to the population of the age group for that schooling level. The age groups vary somewhat among countries, depending on the normal age coverage of that country for a given schooling level. The enrollement rates may therefore exceed 100 percent. Sources: World Bank, World Development Report 1988, 1994; World Bank, World Tables, 1991; and UNESCO Statistical Yearbooks, 1970 and 1996. 444 E .N . Wolff Structural Change and Economic Dynamics 11 2000 433 – 472 Table 3 Educational attainment rates in OECD countries by level, selected years, 1960–1996 a Primary school Secondary school Higher education 1960 1970 1979 1996 1960 1970 1979 1996 1960 1970 1979 0.70 0.51 0.57 0.22 0.13 0.15 Australia 0.99 0.87 0.43 0.71 0.02 0.03 0.03 0.35 0.06 Austria 0.07 0.87 0.57 Belgium 0.54 0.04 0.03 0.08 0.11 0.99 0.31 0.37 0.74 0.76 0.08 0.10 0.37 0.32 0.17 0.98 0.30 Canada 0.98 0.99 0.41 0.78 0.58 0.66 0.04 0.08 0.11 0.15 0.82 1.00 0.27 Denmark 0.30 0.39 0.67 0.04 0.06 0.11 0.12 0.92 0.10 Finland 0.52 0.60 0.02 0.03 0.14 0.15 0.10 France 0.10 0.98 0.35 0.42 0.82 0.04 0.09 0.13 Germany, West 1.00 0.99 0.27 0.44 0.02 0.04 0.08 0.14 0.12 0.84 Greece 0.11 0.89 0.80 Iceland 0.36 0.87 0.46 0.50 0.04 0.05 0.07 0.11 0.85 0.92 0.19 Ireland 0.31 0.38 0.02 0.03 0.04 0.20 0.08 Italy 0.15 0.83 0.92 0.87 0.39 0.96 0.52 0.02 0.06 0.13 0.99 1.00 0.34 Japan 0.29 0.11 Luxembourg 0.57 0.63 0.01 0.07 0.15 Netherlands 0.23 0.99 0.93 0.12 0.49 0.56 0.60 0.05 0.12 0.27 0.40 0.11 New Zealand 0.26 0.99 0.99 0.95 0.30 0.91 0.82 0.02 0.07 0.11 0.16 0.99 0.98 Norway 0.16 0.37 0.20 0.01 0.02 0.05 0.08 0.08 0.82 0.05 Portugal 0.55 0.56 0.10 0.76 0.18 0.30 0.01 0.04 0.06 0.13 0.87 0.91 0.05 Spain 0.43 0.58 0.74 0.08 0.15 0.13 0.86 Sweden 0.36 0.80 0.09 0.10 0.10 Switzerland 0.31 0.62 0.95 1.00 0.12 0.17 0.01 0.02 0.03 0.06 Turkey 0.41 0.44 0.47 0.05 0.09 0.54 0.76 0.05 0.09 0.12 0.37 0.13 0.88 0.97 United Kingdom United States 0.98 0.98 0.86 0.17 0.21 0.30 0.26 1.00 1.00 0.60 0.72 Summary statistics : All 24 OECD countries 0.5 0.58 0.04 0.07 0.12 0.33 0.13 Mean 0.2 0.9 0.89 0.83 0.14 0.17 0.2 0.2 0.04 0.05 0.09 0.05 Std. Deviation 0.18 0.16 0.13 0.41 0.35 0.91 0.78 0.69 0.51 0.37 0.21 Coeff. of Var. 0.7 0.14 0.18 21 12 22 22 19 21 22 22 17 22 18 Number Summary statistics : 21 Industrial market economics all countries except Greece, Portugal, and Turkey 0.53 0.63 0.05 0.08 0.13 0.37 0.13 Mean 0.21 0.92 0.95 0.81 0.14 0.15 0.19 0.17 0.04 0.05 0.09 0.05 0.28 Std. Deviation 0.06 0.09 0.35 0.26 0.84 0.71 0.65 0.41 0.34 0.69 Coeff. of Var. 0.35 0.06 0.1 19 Number 19 9 16 18 19 19 14 19 15 18 a Note: The educational attainment rate is defined as the proportion of the population 25 and over who have attained the indicated level of schooling or greater. The original data sources are UNESCO, Statistics of Educational Attainment and Lieteracy, 1945–1974; UNESCO Statistical Yearbook 1990; and OECD, Education at a Glance: OECD Indicators, 1998. See Wolff and Gittleman 1993 for details on sources and methods. Switzerland over the entire 1960 – 1979 period. Moreover, Australia’s attainment rate at the secondary school level seems to have fallen from 70 to 51 and at the higher education level from 22 to 13 between 1970 and 1979 though both picked up a bit by 1996, whereas Norway’s secondary school rate appears to increase from 30 to 91 from 1970 to 1979 though it then fell back to 82 by 1996. In Canada, the attainment rate at the tertiary level appears to have fallen from 37 in 1979 to only 17 in 1996, despite the huge increase in the enrollment rate at this level, and in New Zealand from 27 to 11 over the same period. In sofar as enrollment rates have risen in all these countries between 1965 and 1983, it is hard to believe that attainment rates could have fallen. One possible explanation is the immigration of people with low schooling levels to these countries Australia, perhaps or the emigration of highly educated individuals Britain, perhaps. The more likely explanation is errors in the data. These figures are derived from UNESCO Yearbooks and are based on country responses to questionnaires. There may have been changes in country reporting methods over time andor compilation errors on the part of UNESCO. In any case, I am not in a position to improve on these results. Despite these reservations, the overall pattern of results is quite sensible. Attain- ment rates, are, not surprisingly, lower than the corresponding enrollment rates, since enrollment rates have been increasing over time that is, attainment rates for the adult population in a given year reflect the enrollment rates when the adults were children. However, changes over time and differences between countries in attainment rates present a similar picture to those based on enrollment rates. Between 1960 and 1996 1979 in the case of primary schooling, average attainment rates among the adult population rose at all three educational levels. Secondary school attainment rates almost tripled and higher education attainment rates more than tripled. The coefficient of variation in attainment rates falls at all three educational levels, particularly at the higher education level, though the standard deviation increases at both the secondary and tertiary levels. Table 4 shows Kyriacou’s 1991 estimates of mean years of schooling of the labor force from 1965 to 1985. These figures are based on benchmark estimates for mean years of schooling of the labor force for the mid-1970s, which are then updated or backdated on the basis of school enrollment rates by level in preceding and succeeding years see the footnote to Table 4 for details on methodology. There are also some peculiarities in the data here. In both Denmark and France, for example, mean years of schooling seems to have increased between 1965 and 1975 and then declined over the ensuing decade, while in Germany, schooling levels are reported to have fallen slightly from 1965 to 1975. Despite the very different sources and methods used to construct this series and the apparent anomalies in the data, the summary results are quite similar to those on attainment rates reported in Table 3. Average years of schooling increased almost continuously between 1965 and 1985, while the dispersion in schooling levels appears to have fallen by half from 1965 to 1980 though note that the sample of countries changes over time. It is also interesting to note that there is a slight increase in the dispersion of mean schooling levels between 1980 and 1985. 446 E .N . Wolff Structural Change and Economic Dynamics 11 2000 433 – 472 Table 4 Average years of schooling of the labor force in OECD countries, selected years, 1965–1985 a 1985 1965 1970 1975 1980 7.8 8.3 7.4 8.7 6.9 Australia 8.1 8.6 Austria 7.6 Belgium 9.4 8.9 8.5 8.0 10.0 8.0 9.0 9.2 9.6 Canada 6.5 6.9 7.2 8.6 Denmark 7.8 7.5 10.8 9.2 Finland 9.5 8.7 9.0 10.0 9.8 France 9.6 10.3 9.1 Germany, West 9.0 8.8 8.4 6.4 7.2 7.6 8.0 Greece Iceland 8.6 8.0 7.5 8.8 6.3 7.2 8.1 8.5 Ireland 8.5 9.1 6.6 Italy 7.3 8.0 7.2 9.5 Japan 7.7 8.9 8.3 6.9 4.6 5.0 7.0 7.0 Luxembourg 8.9 9.5 Netherlands 7.9 8.3 9.3 8.0 7.9 8.3 8.8 New Zealand Norway 9.2 9.0 8.8 6.5 3.9 5.3 8.0 7.3 Portugal 9.7 4.1 4.9 7.1 8.4 Spain 8.1 9.6 8.8 7.2 Sweden 6.7 5.7 6.2 7.4 Switzerland 5.5 6.3 2.7 Turkey 3.1 4.6 7.9 8.5 United Kingdom 7.8 7.0 7.4 9.8 12.0 12.1 12.0 United States 10.4 447 E .N . Wolff Structural Change and Economic Dynamics 11 2000 433 – 472 Table 4 Continued 1985 1965 1970 1975 1980 Summary statistics : All 24 OECD countries 8.55 8.97 Mean 6.57 7.24 8.11 Std. Deviation 1.33 1.19 1.81 1.26 1.64 0.15 0.28 0.23 0.16 0.14 Coeff. of Var. 23 18 20 24 23 Number Summary statistics : 21 Industrial market economies all countries except Greece, Portugal, and Turkey 8.8 9.25 7.61 Mean 8.3 7.02 0.99 1.13 Std. Deviation 1.5 1.34 1.09 0.11 0.12 0.18 Coeff. of Var. 0.13 0.21 Number 15 20 20 17 21 a Note: The source is Kyriacou 1991, pp. 61–63. The methodology is as follows: benchmark estimates for mean years of schooling of the labor force were first obtained from Psacharopoulos and Arriagada 1986 for the mid-1970s. Mean years of schooling for other years were estimated on the basis of school enrollment rates by level in preceding and succeeding years. The labor force was then ‘aged’ backward and forward in time and school attainment estimated using the enrollment rates. A regression model was applied to estimate mean years of schooling for the mid-1970s for countries with missing benchmark data. Table 5 shows data for a slightly different concept of mean schooling, that of the total population aged 25 and over, derived from a different source, Barro and Lee 1993. Their method is similar to Kyriacou’s. They begin with benchmark data from UNESCO sources on attainment rates by educational level and then update or backdate the attainment figures on the basis of school enrollment rates by level in preceding and succeeding years. Their data show much greater internal consis- tency over time than Kyriacou’s figures. However, their estimates of average schooling for some countries are much lower than the corresponding estimates from Kyriacou compare Portugal, Spain, and Turkey, in particular. Part of the difference is, of course, that the Barro-Lee figures refer to the total population 25 and over, whereas Kyriacou’s numbers are only for the labor force. However, the discrepancies appear too large to be attributable to this difference alone. Again, despite the differences in sources and methods, time trends are similar to those shown in Table 4. Average schooling levels rose continuously from 1960 to 1985. The coefficient of variation in schooling levels also shows a decline between 1960 and 1985, though it is much more modest than in the Kyriacou figures. Moreover, the Barro-Lee data show dispersion declining between 1980 and 1985, whereas the Kyriacou data show it rising. Panel A of Table 6 shows Maddison’s 1987Maddison’s 1991 estimates of mean years of schooling from 1950 to 1989 for six OECD countries: France, Germany, Japan, the Netherlands, the U.K., and the U.S. These figures also show a sizable increase in educational attainment in the post World War II period, beginning in 1950. On the other hand, the dispersion in schooling levels has remained almost unchanged between 1950 and 1989. However, this result appears to be accounted for by the particular sample of six countries used the coefficient of variation of mean years of schooling among the same sample of countries on the basis of Kyriacou’s figures is 0.11 in 1970 and 0.11 in 1985. In summary, two important trends are evident with regard to education. First, there has been a significant increase in average schooling levels in OECD countries since 1950, particularly at the secondary and tertiary levels primary school levels were already high at the beginning of the post World War II period. Second, the dispersion in educational levels among the various OECD countries has declined substantially over the postwar period, particularly at the secondary level, though it appears to have risen for enrollment rates at the higher education level during the 1980s. Table 7 shows statistics on two indicators of the technology intensity of produc- tion. The first is the ratio of research and development RD expenditure to GNP, 9 and the second is the number of scientists and engineers engaged in RD per 10 000 of population. Averages are shown for the 1969 – 1972 and the 1982 – 1985 periods, as well as for 1996. The ranges are considerable. In the 1969 – 1972 period, RD expenditure as a percent of GNP ranged from lows of 0.20 in Greece and 0.25 in Spain to a high of 2.70 in the U.S. and from a low of 0.20 in Greece 9 Both public and private sources of funding are included in the tabulations. 449 E .N . Wolff Structural Change and Economic Dynamics 11 2000 433 – 472 Table 5 Average years of schooling of the total population aged 25 and over in OECD countries, selected years, 1960–1985 a 1980 1960 1985 1965 1970 1975 10.24 10.01 10.09 10.08 8.94 8.93 Australia 3.65 6.22 6.64 4.00 5.92 Austria 6.09 9.15 7.36 8.79 Belgium 7.59 8.36 7.71 10.16 8.07 10.37 8.32 8.55 9.50 Canada 9.91 10.14 10.33 9.38 Denmark 9.51 9.63 7.45 9.61 9.49 7.78 8.33 Finland 8.81 6.52 France 5.97 5.22 4.06 4.76 4.71 8.46 7.62 8.54 7.92 8.14 8.21 Germany, West 6.56 4.42 6.73 5.02 5.19 5.85 Greece 7.89 6.86 7.40 6.37 Iceland 5.98 5.68 6.73 7.61 8.01 6.45 Ireland 6.45 6.52 6.28 Italy 5.83 5.31 4.56 5.22 4.83 8.17 6.71 8.46 6.88 6.80 7.29 Japan Luxembourg 8.57 7.90 8.20 Netherlands 7.67 5.37 5.69 12.14 9.61 12.04 9.54 9.69 11.16 New Zealand 10.32 5.63 10.38 5.86 6.76 10.19 Norway 3.83 2.07 3.23 1.21 Portugal 1.78 1.94 4.95 3.43 5.58 3.85 4.78 4.26 Spain 9.45 7.58 9.47 Sweden 7.62 7.90 7.47 9.67 6.87 9.09 6.86 6.22 6.26 Switzerland 2.12 2.62 3.29 1.95 Turkey 2.16 1.96 8.17 8.35 8.65 7.74 United Kingdom 7.27 7.32 11.79 10.14 11.89 10.77 9.36 United States 8.67 Summary statistics : All 24 OECD countries 7.35 8.08 8.32 6.22 Mean 6.43 6.80 2.42 2.20 2.21 2.15 2.26 2.44 Std. Deviation 0.27 Coeff. of Var. 0.30 0.35 0.33 0.33 0.33 23 23 23 23 23 23 Number 450 E .N . Wolff Structural Change and Economic Dynamics 11 2000 433 – 472 Table 5 Continued 1975 1980 1985 1965 1960 1970 Summary statistics : 21 Industrial market economies all countries except Greece, Portugal, and Turkey 8.87 7.95 7.4 8.67 6.95 6.74 Mean 1.9 1.91 1.7 Std. Deviation 1.81 1.72 1.62 0.19 0.24 0.22 Coeff. of Var. 0.22 0.27 0.25 20 20 20 20 20 20 Number a Note: The source is: Barro and Lee 1993, Appendix Table A.2. The methodology is as follows: benchmark estimates on attainment rates by six educational levels were first obtained from UNESCO Statistical Yearbooks, various years. Attainment rates for other years were estimated on the basis of school enrollment rates by level in preceding and succeeding years. The labor force was then ‘aged’ backward and forward in time and school attainment estimated using the enrollment rates. to a high of 2.80 in Sweden in 1982 – 85. In 1996, the ranged went from 0.45 in Turkey to 3.59 in Sweden. The number of scientists and engineers per 10 000 inhabitants ranged from a low of 1.2 in Greece to a high of 29.7 in Japan in the first period, from 2.1 in Turkey to 43.1 in Japan in the second, and from 3.5 in Turkey to 58.2 in Japan in 1996. Two trends are apparent. First, the average RD intensity increased between the early 1970s and 1996; and, second, the coefficient of variation declined. The trends are stronger among the industrial market economies than among all OECD countries. These trends appear even stronger in Panel B of Table 6, based mainly on data from Maddison 1987. Among the six countries shown here, mean RD spending as a percentage of GDP increased from 1.82 in 1960 to 2.52 in 1987, while the coefficient of variation falls from 0.35 to 0.09. Thus, the RD intensity of production is becoming more similar among this group of OECD countries. On the surface, at least, there appears to be a direct relation between schooling levels and labor productivity levels, as reported in Table 1. First, the convergence in educational levels among OECD countries appears to correspond to the conver- gence in labor productivity levels over the post World War II period. Second, the Table 6 Maddison data on education and RD expenditures for six OECD countries, 1950–1989, selected years A. A6erage years of Formal Education of the Population Aged 15–64 a 1973 1950 1989 1984 9.6 8.2 10.8 11.6 France 9.5 9.6 Germany 8.5 9.3 Japan 11.7 11.2 10.2 8.1 9.9 8.9 10.5 7.4 Netherlands 10.9 11.3 United Kingdom 9.4 10.2 9.5 11.3 United States 12.5 13.4 8.51 9.92 Mean 10.80 11.34 Std. Deviation 1.17 0.97 0.78 0.73 Coeff. of Var. 0.09 0.08 0.09 0.10 B. RD Expenditures as a of GDP b 1983 1960 1987 1973 2.1 1.8 France 2.3 1.3 1.0 2.1 Germany 2.6 2.8 Japan 1.4 2.0 2.5 2.8 2.3 2.0 2.0 Netherlands 1.9 2.1 United Kingdom 2.3 2.4 2.5 United States 2.4 2.7 2.7 2.6 2.38 Mean 2.52 1.82 2.05 Std. Deviation 0.19 0.25 0.23 0.63 Coeff. of Var. 0.09 0.11 0.09 0.35 a Sources. 1950–1984: Maddison 1987; 1987: Maddison 1991. b Sources. 1960–1983: Maddison 1987; 1987: UNESCO Statistical Yearbook, 1990 . 452 E .N . Wolff Structural Change and Economic Dynamics 11 2000 433 – 472 Table 7 Research and Development RD intensity of production in OECD countries, 1960–1972 and 1973–1989 a Scientists and Engineers engaged in Expenditures for RD as a of GNP RD per 10 000 population 1996 1982–1985 1996 1969–1972 1969–1972 1982–1985 18.6 1.40 31.5 1.30 1.68 11.5 Australia 16.2 0.60 10.1 Austria 1.30 3.9 1.52 7.9 1.20 22.1 1.70 1.59 10.4 Belgium 10.1 14.1 27.0 1.25 Canada 1.43 1.64 15.7 1.00 32.3 1.25 2.01 11.3 Denmark 34.4 Finland 35.4 10.0 0.85 2.58 1.47 18.7 1.87 27.5 2.30 2.32 11.7 France 22.7 2.05 28.7 2.60 2.29 14.4 Germany, West 7.6 1.2 2.5 0.48 Greece 0.20 0.20 6.3 13.5 32.6 0.40 Iceland 0.80 1.51 22.3 Ireland 9.1 5.8 0.75 1.39 0.85 10.7 1.03 13.0 1.17 1.03 5.4 Italy 29.7 43.1 58.2 Japan 2.63 1.83 2.83 Luxembourg 21.9 2.20 22.2 2.03 2.09 16.6 Netherlands 15.8 0.50 16.6 0.90 0.97 4.1 New Zealand 37.2 11.7 20.3 1.71 Norway 1.40 1.18 2.6 3.2 10.8 0.35 Portugal 0.40 0.58 11.6 Spain 4.0 2.2 0.25 0.87 0.50 24.2 1.45 40.5 2.80 3.59 10.9 Sweden Switzerland 27.7 2.05 2.20 2.74 23.1 21.0 3.5 0.30 2.1 1.8 Turkey 0.45 0.40 15.5 2.15 24.7 2.20 1.94 10.9 United Kingdom 26.1 30.7 36.4 United States 2.65 2.70 2.62 Summary statistics : All 24 OECD countries 25.25 Mean 16.97 1.20 1.50 10.49 1.76 10.37 0.72 12.15 0.78 0.80 7.44 Std. Deviation 453 E .N . Wolff Structural Change and Economic Dynamics 11 2000 433 – 472 Table 7 Continued Scientists and Engineers engaged in Expenditures for RD as a of RD per 10 000 population GNP 1996 1982–1985 1996 1969–1972 1969–1972 1982–1985 0.48 Coeff. of Var. 0.61 0.60 0.45 0.52 0.71 Number 23 23 23 23 23 23 Summary statistics : 21 Industrial market economies all countries except Greece, Portugal, and Turkey 27.94 11.79 1.95 1.67 19.13 Mean 1.33 0.67 9.37 10.63 0.68 0.68 Std. Deviation 7.12 Coeff. of Var. 0.38 0.50 0.41 0.35 0.60 0.49 20 20 20 20 20 20 Number a Note: The original data sources are UNESCO Statistical Yearbook, 1963–1990 and the OECD ANBERD database, 1998 version. Period averages are shown for 1969–72 and 1982–85. See Gittleman and Wolff 1995 for details on sources and methods for the 1960–89 data. increase in schooling levels seems to correspond to the growth in labor productivity over this period. Moreover, as productivity and educational levels were growing and converging among OECD countries, so was their RD intensity of production. We now turn to regression analysis to analyze these relations more systematically.

3. Catch-up models

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