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Biometrika 1971 58(1):139-148; doi:10.1093/biomet/58.1.139
© 1971 by Biometrika Trust
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Significance tests based on residuals

D. F. ANDREWS

Bell Telephone Laboratories, Murray Hill, New Jersey and Princeton University

The known distribution of residuals from linear regression models may be used to construct exact tests of significance. New tests for the presence of one or more outliers are considered in detail. Applications of the theory to other tests are discussed. Exact results are worked out for the normal and exponential error distributions; formulae are given for other nonnormal cases.

Key Words: Residuals • Outliers • Exponential regression • Nonnormality and nonadditivity in regression


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