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Biometrika 1975 62(3):623-629; doi:10.1093/biomet/62.3.623
© 1975 by Biometrika Trust
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A short-cut test for outliers using residuals

B. M. BROWN *

Statistical Laboratory, University of Cambridge

The differences between the numbers of positive and negative residuals in each row and column of a two-way analysis of variance are used to define an approximate chi-squared statistic which can be used to test for the presence of outlying observations. The chi-squared approximation rests on a Central Limit Theorem for the number of positive residuals in the two-way table. Extensions to other classifications are also discussed.

Key Words: Central Limit Theorem • Convergence of moments • Multinomial orthant probabilities • Outliers • Residuals


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