The Power of Rank Tests
E. L. Lehmann,E. L. Lehmann +1 more
TLDR
In this article, simple nonparametric classes of alternatives are defined for various non-parametric hypotheses and the power of a number of such tests against these alternatives is obtained and illustrated with some numerical results.Abstract:
Simple nonparametric classes of alternatives are defined for various nonparametric hypotheses. The power of a number of such tests against these alternatives is obtained and illustrated with some numerical results. Optimum rank tests against certain types of alternatives are derived, and optimum properties of Wilcoxon’s one- and two-sample tests and of the rank correlation test for independence are proved.read more
Citations
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Book ChapterDOI
Regression Models and Life-Tables
TL;DR: The analysis of censored failure times is considered in this paper, where the hazard function is taken to be a function of the explanatory variables and unknown regression coefficients multiplied by an arbitrary and unknown function of time.
Journal ArticleDOI
A Test of Goodness of Fit
TL;DR: The Kolmogorov test as discussed by the authors is a distribution-free test of goodness of fit that is sensitive to discrepancies at the tails of the distribution rather than near the median.
Journal ArticleDOI
Tests of the Hypothesis That a Linear Regression System Obeys Two Separate Regimes
TL;DR: In this paper, the authors explored several approaches for testing the hypothesis that no switch has occurred in the true values of the parameters of a linear regression system, and the distribution of the relevant likelihood ratio λ was analyzed on the basis of the empirical distribution resulting from some sampling experiments.
Journal ArticleDOI
Modeling failure time data by lehman alternatives
TL;DR: In this paper, the authors proposed to model failure time data by F*(f) = [F(t)]θ where F(t) is the baseline distribution function and θ is a positive real number.
References
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On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other
Henry B. Mann,D. R. Whitney +1 more
TL;DR: In this paper, the authors show that the limit distribution is normal if n, n$ go to infinity in any arbitrary manner, where n = m = 8 and n = n = 8.
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Jacob Wolfowitz,A. M. Mood +1 more
TL;DR: In this article, a tabular summary of parametric families of distributions is presented, along with a parametric point estimation method and a nonparametric interval estimation method for point estimation.
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On a Test Whether Two Samples are from the Same Population
Abraham Wald,Jacob Wolfowitz +1 more
Journal ArticleDOI
Consistency and Unbiasedness of Certain Nonparametric Tests
TL;DR: In this paper, it was shown that there exist strictly unbiased and consistent tests for the univariate and multivariate two-and fc-sample problem, for the hypothesis of independence, and for the hypotheses of symmetry with respect to a given point.