Analysis of singly ordered two-way contingency tables

[摘要] Pearson's statistic is investigated for nominal-ordinal two-way contingency tables inwhich we wish to test for identical rows. The statistic is expressed as a sum, the first summand ofwhich is a statistic given by Yates (1948), and examines location effects for the nominal category.The second and subsequent summands reflect the corresponding moments: for example, dispersion,skewness, kurtosis etc. The summands are shown to be weakly optimal in that they are score statistics.

[学科分类] 自然科学（综合）