The Exact Noncentral Distributions of Spearman's r and other Related Correlation Coefficients
Spearman 秩相关及相关系数的精确非中心分布
This article presents a general construction principle for the non-central distribution of Spearman's r without the usual reference to the underlying distributions of the two continuous random variables. The only distribution used is the bivariate distribution on the rank pairs in an n × n table. The noncentral distribution is generated by the calculation of the unequal probabilities of (n!)2 bipermutations. This distribution is approximated also by a skew distribution…