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December, 1963 Asymptotically Nonparametric Inference: An Alternative Approach to Linear Models
E. L. Lehmann
Ann. Math. Statist. 34(4): 1494-1506 (December, 1963). DOI: 10.1214/aoms/1177703881


As an alternative to the standard analysis of variance, procedures are developed for linear models with several observations per cell which are asymptotically distribution-free and whose asymptotic efficiency relative to the standard procedures is the same as that of the Wilcoxon test relative to Student's $t$-test. Specific procedures discussed are (i) tests of linear hypotheses, (ii) confidence intervals for any contrast, (iii) simultaneous intervals for all contrasts.


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E. L. Lehmann. "Asymptotically Nonparametric Inference: An Alternative Approach to Linear Models." Ann. Math. Statist. 34 (4) 1494 - 1506, December, 1963.


Published: December, 1963
First available in Project Euclid: 27 April 2007

zbMATH: 0136.40406
MathSciNet: MR164411
Digital Object Identifier: 10.1214/aoms/1177703881

Rights: Copyright © 1963 Institute of Mathematical Statistics

Vol.34 • No. 4 • December, 1963
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