Discriminatory Analysis - Nonparametric Discrimination: Consistency Properties
- E. Fix, J. L. Hodges
- Mathematics
- 1 December 1989
Abstract : The discrimination problem (two population case) may be defined as follows: e random variable Z, of observed value z, is distributed over some space (say, p-dimensional) either according…
Estimates of Location Based on Rank Tests
- J. L. Hodges, E. Lehmann
- Mathematics
- 1 June 1963
A serious objection to many of the classical statistical methods based on linear models or normality assumptions is their vulnerability to gross errors. For certain testing problems this difficulty…
Rank Methods for Combination of Independent Experiments in Analysis of Variance
- J. L. Hodges, E. Lehmann
- Mathematics
- 1 June 1962
It is now coming to be generally agreed that in testing for shift in the two-sample problem, certain tests based on ranks have considerable advantage over the classical t-test. From the beginning,…
The Efficiency of Some Nonparametric Competitors of the t-Test
- J. L. Hodges, E. Lehmann
- Mathematics
- 1 June 1956
Consider samples from continuous distributions F(x) and F(x — θ). We may test the hypothesis θ = 0 by using the two-sample Wilcoxon test. We show in Section 1 that its asymptotic Pitman efficiency,…
Design for the Control of Selection Bias
- D. Blackwell, J. L. Hodges
- Mathematics
- 1 June 1957
Suppose an experimenter $E$ wishes to compare the effectiveness of two treatments, $A$ and $B$, on a somewhat vaguely defined population. As individuals arrive, $E$ decides whether they are in the…
Minimum Variance Stratification
- T. Dalenius, J. L. Hodges
- Mathematics
- 1 March 1959
Abstract When estimating the mean value of a quantity x, in a population to be divided into L strata according to the value of a quantity closely correlated with x, it is necessary to choose the L —…
The use of Previous Experience in Reaching Statistical Decisions
- J. L. Hodges, E. Lehmann
- Mathematics
- 1 September 1952
Instead of minimizing the maximum risk it is proposed to re-strict attention to decision procedures whose maximum risk does not exceed the minimax risk by more than a given amount. Subject to this…
Some Problems in Minimax Point Estimation
- J. L. Hodges, E. Lehmann
- Mathematics
- 1 June 1950
In the present paper the problem of point estimation is considered in terms of risk functions, without the customary restriction to unbiased estimates. It is shown that, whenever the loss is a convex…
Discriminatory Analysis - Nonparametric Discrimination: Small Sample Performance
- E. Fix, J. L. Hodges
- Mathematics
- 1 August 1952
Abstract : A classification procedure is worked out for the following situations: Two large samples, one from each of two populations, have been observed. An individual of unknown origin is to be…
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