Pages

OCC Varies Less Among Vertically Integrated Industries (Part 2)

I gave a hostage to fortune in the first part. That part notes the empirical claim that the Organic Composition of Capital (OCC) varies less among vertically integrated industries, as compared to non-vertically integrated industries. But I did not demonstrate this claim with actual data. This part retrieves this hostage by presenting empirical results.

The first part explained how to calculate the OCC for both non-vertically and vertically integrated industries, given Leontief Input Output tables. I performed these calculations with the Leontief Input Output table obtainable from the 2005 Use Table and other data available from the Bureau of Economic Analysis (BEA). Figure 1 shows these distributions of the OCC among the 65 industries aggregated by the BEA. Notice that the OCC does indeed seem to be more dispersed for non-vertically integrated industries.

Figure 1: Distribution of Ratio of OCC to Sum of
Unity and Rate of Exploitation
In both cases, the distributions seem to be skewed and from a non-Gaussian distribution. Taking common logarithms yields the distributions shown in Figure 2. Table 1 presents summary statistics for these distributions. The absolute value of the coefficient of variation in the distribution of the OCC is indeed decreased by vertical integration. So these results replicate, for 2005 United States of America (USA) data, Shaikh’s and Petrovic’s earlier results for the USA in 1947 and Yugoslavia in 1976 & 1978, respectively.
Figure 2: Distribution of Common Logarithm of Ratio of OCC
to Sum of Unity and Rate of Exploitation

Table 1: Logarithm of Ratio of OCC to Sum of
Unity and Rate of Exploitation
StatisticNon-Vertically
Integrated
Industries
Vertically
Integrated
Industries
Number Industries6565
Mean-0.0326576-0.0770277
Standard Deviation0.3969800.225224
Coefficient of Variation
(Absolute Value)
12.162.924
I suppose this analysis could be improved by performing formal statistical tests. In particular, one might use the Kolmogorov-Smirnov goodness of fit test to determine if the distributions of the OCC after a logarithmic transformation are Gaussian. I don’t know how to formally test for a change in the coefficient of variation. But, since the mean is so close to zero anyway, one might use an F test to contrast the variance in the distributions of the (transformed) OCC. I don’t plan on pursuing this line soon, though.

0 comments:

Post a Comment

  • Stiglitz the Keynesian... Web review of economics: Stigliz has an article, "Capitalist Fools", in the January issue of Vanity Fair. He argues that the new depression is the result of:Firing...
  • It's Never Enough Until Your He... Web review of economics: Aaron Swartz quotes a paper by Louis Pascal posing a thought experiment. I wonder if many find this argument emotionally unsatisfying. It...
  • Michele Boldrin Confused About Marx... Web review of economics: Michele Boldrin has written a paper in which supposedly Marxian themes are treated in a Dynamic Stochastic Equilibrium Model (DSGE). He...
  • Negative Price Wicksell Effect, Pos... Web review of economics: 1.0 IntroductionI have previously suggested a taxonomy of Wicksell effects. This post presents an example with:The cost-minimizing...
  • Designing A Keynesian Stimulus Plan... Web review of economics: Some version of this New York Times article contains the following passage:"A blueprint for such spending can be found in a study financed...
  • Robert Paul Wolff Blogging On Books... Web review of economics: Here Wolff provides an overview of Marx, agrees with Morishima that Marx was a great economist, and mentions books by the analytical...
  • Simple and Expanded Reproduction... Web review of economics: 1.0 IntroductionThis post presents a model in which a capitalist economy smoothly reproduces itself. The purpose of such a model is not to...
  • How Individuals Can Choose, Even Th... Web review of economics: 1.0 IntroductionI think of this post as posing a research question. S. Abu Turab Rizvi re-interprets the primitives of social choice theory...