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Biometrika 1983 70(1):139-144; doi:10.1093/biomet/70.1.139
© 1983 by Biometrika Trust
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Serial dependence of observations leading to contingency tables, and corrections to chi-squared statistics

SIMON TAVARÉ and PATRICIA M. E. ALTHAM

Departrnent of Statistics, Colorado State University Fort Collins, Colorado, U.S.A.
Statistical Laboratory, University of Cambridge

The asymptotic behaviour of the Pearson goodness-of-fit test and of the test of independence in 2 × 2 tables is examined when the data are generated by Markov dependent sequences. The results allow simple quantification of the effects of such serial dependence on some standard test statistics.

Key Words: Chi-squared tests • Contingency tables • Dependence • Goodness of fit • Markov chains • Reversibility


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