摘要:

The problem of selecting thet“best” populations from a set ofkpopulations is considered where the observations (possibly already condensed) are of independent random variablesYi, fori= 1, …,k, with distribution functionsF(y; θi), which are nonincreasing in the θifor ally. The selection process is based on the values of theY1, …,Yk(ties being broken by randomization), and a theorem is proved which enables us to decide on a “least favorable configuration” for the θivalues.

ISSN:0162-1459    

DOI:10.1080/01621459.1976.10480362

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

Inferences concerning the variance ratios of a random linear model are important in genetics and other areas of scientific investigation. For example, in genetics, the heritability parameters are functions of the variance ratios of a random model. This paper derives simultaneous confidence intervals for all or certain subsets of the parameters of a balanced incomplete random model. This procedure is based on the mean squares of the analysis of variance, and the mean squares are linear functions of a set of minimal sufficient statistics for estimating the parameters of the model. The procedure is demonstrated for a layout of six treatments, ten blocks, and five observations per block.

ISSN:0162-1459    

DOI:10.1080/01621459.1976.10480363

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

A multiple comparison technique for simultaneous inference in the nonstandard randomized block design models considered by Graybill [3] and Scheffé [11] is developed. Its computation and properties are discussed in terms of a clinical trial. The technique involving a number of independent tests with possibly unequal sizes, not the well-known Bonferroni tests [5], is appropriate when most contrasts between the treatments are of interest, but a few of the comparisons are of primary importance.

ISSN:0162-1459    

DOI:10.1080/01621459.1976.10480364

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

Various estimators of variance components for the balanced three-stage nested random effects model are compared under standard assumptions of normality and independence of random effects, using MSE as the measure of performance. Several results are proven, demonstrating the inequality relationships on MSE of the unbiased, restricted maximum likelihood and maximum likelihood, and several modifications of the unbiased and maximum likelihood estimators as introduced here, including Stein-type estimators. Some Bayesian estimators are also considered for numerical comparison of the MSE. Computations are carried out to assess the order of difference in the MSE's. A large class of equivariant estimators of the error component is shown to be inadmissible.

ISSN:0162-1459    

DOI:10.1080/01621459.1976.10480365

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

The analysis of lattice designs is extended to treatments each having a linear response tomX-variables associated with replications,m<pk/(k +1) − 1, wherepis the number of replications andkis the block size. The design is a split plot with subplot treatments arranged as a lattice design having main plots as the lattice replicates. Formulas are obtained for converting ordinary least squares estimates of treatment regression coefficients into weighted least squares estimates, and for the covariance matrix of a difference between corrected treatment regression coefficient vectors. The general theory allows for repetition (not necessarily equal) of the basic patterns of confounding treatments with blocks.

ISSN:0162-1459    

DOI:10.1080/01621459.1976.10480366

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

This paper is concerned with bias-reduction properties of that generalized jackknife which pertains to a single-estimator, single-sample situation. Jackknifing is a technique for reducing bias by exploiting the dependence of the bias on sample size. In practice, this is carried out by reestimating the unknown parameter(s) with only part of the sample and combining the new and original estimates suitably weighted to produce cancellation in their biases. The size of the subsample affects both the bias and variance of the jackknife. While few results are available, “minimal data omission” seems sensible on grounds of variance. This paper shows the same is always true on grounds of bias.

ISSN:0162-1459    

DOI:10.1080/01621459.1976.10480367

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

The analysis ofk×kupper triangular contingency tables in which both margins have the same polytomy is considered. Such a table will arise whenksubjects form pairs (dyads) in which the pair (i,j)cannot be distinguished from (j,i), and individuals cannot form dyads with themselves. A quasi-independence model for such data is developed and extended to account for additional multiplicative factors. The resulting estimation procedures and goodness-of-fit tests are illustrated in two examples.

ISSN:0162-1459    

DOI:10.1080/01621459.1976.10480368

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

In this paper we present the asymptotically best linear unbiased estimators for the location and scale parameters of the logistic distribution based on samples where there may be Type 2 censoring in the tails. Given the amount of censoring, the weights of the estimators can be expressed in simple closed forms. Comparisons of these with the best linear unbiased estimators and the Cramer-Rao lower bounds demonstrate that they have good efficiency even for small samples.

ISSN:0162-1459    

DOI:10.1080/01621459.1976.10480369

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

Parameter estimation for a (k +1)-parameter version of thek-dimensional multivariate exponential distribution (MVE) of Marshall and Olkin is investigated. Although not absolutely continuous with respect to Lebesgue measure, a density with respect to a dominating measure is specified, enabling derivation of a likelihood function and likelihood equations. In general, the likelihood equations, not solvable explicitly, have a unique root which is the maximum likelihood estimator (MLE). A simple estimator (INT) is derived as the first iterate in solving the likelihood equations iteratively. The resulting sequence of estimators converges to the MLE for sufficiently large samples. These results can be extended to the more general (2k− 1)-parameter MVE.

ISSN:0162-1459    

DOI:10.1080/01621459.1976.10480370

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

The Sobel-Weiss play-the-winner rule [5] for choosing the best of three binomial populations is modified by introducing the opportunity for early partial or complete elimination of inferior populations. The new procedure neither dominates nor is dominated by otherk= 3 schemes discussed by Hoel and Sobel [3], and it may offer a reasonable alternative under certain prior assumptions concerning the parameter space.

ISSN:0162-1459    

DOI:10.1080/01621459.1976.10480371

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor