IS THE PARTIAL MANTEL TEST INADEQUATE?

Mantel test in population genetics

The comparison of genetic divergence or genetic distances, estimated by pairwise FST and related statistics, with geographical distances by Mantel test is one of the most popular approaches to evaluate spatial processes driving population structure. There have been, however, recent criticisms and discussions on the statistical performance of the Mantel test. Simultaneously, alternative framewor...

zt : a software tool for simple and partial Mantel tests

Comparison of Permutation Methods for the Partial Correlation and Partial Mantel Tests

This study compares empirical type I error and power of different permutation techniques that can be used for partial correlation analysis involving three data vectors and for partial Mantel tests. The partial Mantel test is a form of first-order partial correlation analysis involving three distance matrices which is widely used in such fields as population genetics, ecology, anthropology, psyc...

Mantel-Haenszel test statistics for correlated binary data.

This paper proposes two new Mantel-Haenszel test statistics for correlated binary data in 2 x 2 tables that are asymptotically valid in both sparse data (many strata) and large-strata limiting models. Monte Carlo experiments show that the statistics compare favorably to previously proposed test statistics, especially for 5-25 small to moderate-sized strata. Confidence intervals are also obtaine...

Generalized Cochran-Mantel-Haenszel Test Statistics for Correlated Categorical Data

S Three new test statistics are introduced for correlated categorical data in strati ed R C tables. They are similar in form to the standard generalized Cochran-Mantel-Haenszel statistics but modi ed to handle correlated outcomes. Two of these statistics are asymptotically valid in both many-strata (sparse data) and large-strata limiting models. The third one is designed speci cally for the man...