Testing the Convergence Hypothesis: A Comment
评论Lichtenberg(1994)提出的趋同假说检验方法,指出其因忽略方差间的依赖关系而可能导致高概率的第二类错误,并用22个OECD国家1960-1985年的数据为例说明问题。
In a recent paper Lichtenberg (1994) proposes a test of the convergence hypothesis that the variance of productivity across countries decreases over time. He argues that the ratio of the variance in the first period to that in the last period of the time series is F-distributed but overlooks the dependency between these two variances. As a consequence, probabilities of committing a type II error of incorrectly rejecting the convergence hypothesis are large. This problem manifests most strongly in short time periods. Lichtenberg, for example, rejects the convergence hypothesis for a data set of 22 OECD countries over the 1960–1985 period.