Biomaterial Database

Categorical independence tests for large sparse r-way contingency tables. 2002

Paul W Mielke, and Kenneth J Berry

Department of Statistics, Colorado State University, Fort Collins 80523-1877, USA.

A nonasymptotic chi-squared technique is shown to have very useful properties for the analysis of large sparse r-way contingency tables. Examples of analyses of 4 x 5, 5 x 6, 6 x 7, and two 2 x 2 x 2 sparse contingency tables provide comparisons of the nonasymptotic chi-squared technique with asymptotic chi-squared and exact chi-squared techniques. The asymptotic chi-squared analyses yield inflated probability values for the five tables. The nonasymptotic chi-squared technique yields probability values much closer to the exact probability values than the asymptotic chi-squared technique for the five tables.

UI	MeSH Term	Description	Entries
D011589	Psychology, Experimental	The branch of psychology which seeks to learn more about the fundamental causes of behavior by studying various psychologic phenomena in controlled experimental situations.	Experimental Psychology,Experimental Psychologies,Psychologies, Experimental
D011594	Psychometrics	Assessment of psychological variables by the application of mathematical procedures.	Psychometric
D003627	Data Interpretation, Statistical	Application of statistical procedures to analyze specific observed or assumed facts from a particular study.	Data Analysis, Statistical,Data Interpretations, Statistical,Interpretation, Statistical Data,Statistical Data Analysis,Statistical Data Interpretation,Analyses, Statistical Data,Analysis, Statistical Data,Data Analyses, Statistical,Interpretations, Statistical Data,Statistical Data Analyses,Statistical Data Interpretations
D006801	Humans	Members of the species Homo sapiens.	Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D016009	Chi-Square Distribution	A distribution in which a variable is distributed like the sum of the squares of any given independent random variable, each of which has a normal distribution with mean of zero and variance of one. The chi-square test is a statistical test based on comparison of a test statistic to a chi-square distribution. The oldest of these tests are used to detect whether two or more population distributions differ from one another.	Chi-Square Test,Chi Square Distribution,Chi Square Test,Chi-Square Distributions,Chi-Square Tests,Distribution, Chi-Square,Distributions, Chi-Square,Test, Chi-Square,Tests, Chi-Square