It is well known that when data are nonnormally distributed, a test of the significance of
Pearson's r may inflate Type I error rates and reduce power. Statistics textbooks and the …

We examine the performance of the two rank order correlation coefficients (Spearman's rho
and Kendall's tau) for describing the strength of association between two continuously …

Highlights•The calculation of correlation coefficients is widespread in biological
research.•The standard t test offers generally reasonable performance.•For non-normal data …

Linear structural equation modeling has become an indispensable methodology for
specifying, estimating, and testing hypothesized interrelationships among a set of …

A sound epistemological foundation for biological inquiry comes, in part, from application of
valid statistical procedures. This tenet is widely appreciated by scientists studying the new …

Multivariate analysis of variance (MANOVA) is a useful tool for social scientists because it
allows for the comparison of response-variable means across multiple groups. MANOVA …

The objective of this paper is to propose an effective procedure for sampling from a
multivariate population within the framework of Monte Carlo simulations. The typical …

Despite the popularity of traditional fit index cutoffs like RMSEA≤. 06 and CFI≥. 95, several
studies have noted issues with overgeneralizing traditional cutoffs. Computational methods …

Although power method polynomials based on the standard normal distributions have been
used in many different contexts for the past 30 years, it was not until recently that the …

A general procedure is derived for simulating univariate and multivariate nonnormal
distributions using polynomial transformations of order five. The procedure allows for the …