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Biometrika 1988 75(4):790-793; doi:10.1093/biomet/75.4.790
© 1988 by Biometrika Trust
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MISCELLANEA

Cumulant methods for analysing independence of r-way contingency tables and goodness-of-fit frequency data

PAUL W. MIELKE, JR and KENNETH J. BERRY

Department of Statistics, Colorado State University Fort Collins, Colorado 80523, U.S.A.
Department of Sociology, Colorado State University Fort Collins, Colorado 80523, U.S.A.

Cumulant methods for analysing the independence of r-way contingency tables and goodness-of-fit frequency data are presented. These methods are based on the exact first three cumulants of both the classical Pearson chi-squared statistic and a recent advantageous modification of this statistic. These approximate methods provide major distributional improvements over existing asymptotic methods.

Key Words: Approximation • Exact moment • Goodness of fit • Multi-way contingency table • Pearson's chi-squared statistic


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