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1977•SIAM Journal on Applied MathematicsRequires access

Nonparametric Weighted-Signs Tests for Location

S.A. Kassam, John B. Thomas

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Abstract

Strictly nonparametric weighted-signs tests for the hypothesis of symmetry against location-shift alternatives are considered. The tests are extensions of the sign test and use a conditional structure to achieve a fixed size for all measures of the hypothesis. It is shown that the performance of the weighted-signs tests can be much better than that of the simple sign test, and that it compares favorably with that of the Wilcoxon signed-rank test.

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What this paper is about

Strictly nonparametric weighted-signs tests for the hypothesis of symmetry against location-shift alternatives are considered. The tests are extensions of the sign test and use a conditional structure to achieve a fixed size for all measures of the hypothesis. It is shown that the performance of the weighted-signs tests can be much better than that of the simple sign test, and that it compares favorably with that of the Wilcoxon signed-rank test.

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Available abstract

Strictly nonparametric weighted-signs tests for the hypothesis of symmetry against location-shift alternatives are considered. The tests are extensions of the sign test and use a conditional structure to achieve a fixed size for all measures of the hypothesis. It is shown that the performance of the weighted-signs tests can be much better than that of the simple sign test, and that it compares favorably with that of the Wilcoxon signed-rank test.

Key concepts: Sign test, Nonparametric statistics, Wilcoxon signed-rank test, Sign (mathematics), Mathematics, Simple (philosophy), Test (biology), Statistical hypothesis testing

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