Testing for Independence in a Two-Way Table: New Interpretations of the Chi-Square Statistic
نویسندگان
چکیده
منابع مشابه
The Chi-square test of independence
The Chi-square statistic is a non-parametric (distribution free) tool designed to analyze group differences when the dependent variable is measured at a nominal level. Like all non-parametric statistics, the Chi-square is robust with respect to the distribution of the data. Specifically, it does not require equality of variances among the study groups or homoscedasticity in the data. It permits...
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The Chi-Square test (χ 2 test) is a family of tests based on a series of assumptions and is frequently used in the statistical analysis of experimental data. The aim of our paper was to present solutions to common problems when applying the Chi-square tests for testing goodness-of-fit, homogeneity and independence. The main characteristics of these three tests are presented along with various p...
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چکیده ندارد.
15 صفحه اولStandardizing the Empirical Distribution Function Yields the Chi-Square Statistic
Standardizing the empirical distribution function yields a statistic with norm square that matches the chi-square test statistic. To show this one may use the covariance matrix of the empirical distribution which, at any finite set of points, is shown to have an inverse which is tridiagonal. Moreover, a representation of the inverse is given which is a product of bidiagonal matrices correspondi...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1985
ISSN: 0090-5364
DOI: 10.1214/aos/1176349634