Percentage points and power calculations for outlier tests in a regression situation |
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| Authors: | Camil Fuchs Norman R Draper |
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| Institution: | 1. Statistics Department , Tel-Aviv University , Ramat-Aviv , Tel-Aviv , 69978 , Israel;2. Statistics Department , University of Wisconsin , 1210 West Dayton Street, Madison , WI , 53706 |
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| Abstract: | The usefulness of an extra sum of squares statistics QK for detecting K outliers has been discussed previously in the context of two-way tables. (See Gentleman and Wilk, 1975a, 1975b; John and Draper 1978; and Draper and John, 1980,) That work is extended here to straight line regression situations arising from, and motivated by, a specific set of research data. Percentage points for the appropriate test statistics are obtained by simulation, and approximations for these percentage points are suggested. Power calculations made for various designs and outlier situations are briefly summarized. |
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| Keywords: | detection of outliers Qk statistic robust designs |
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