摘要:

AbstractSeveral asymptotic tests were proposed for testing the null hypothesis of marginal homogeneity in square contingency tables withrcategories. A simulation study was performed for comparing the power of four finite conservative conditional test procedures and of two asymptotic tests for twelve different contingency schemes for small sample sizes. While an asymptotic test proposed by STUART(1955) showed a rather satisfactory behaviour for moderate sample sizes, an asymptotic test proposed by BHAPKAR(1966) was quite anticonservative. With no a priori information the performance of (r‐ 1) simultaneous conditional binomial tests with a Bonferroni adjustment proved to be a quite efficient procedure. With assumptions about where to expect the deviations from the null hypothesis, other procedures favouring the larger or smaller conditional sample sizes, respectively, can have a great efficiency. The procedures are illustrated by means of a numerical example from clinical psycholog

ISSN:0323-3847    

DOI:10.1002/bimj.4710270102

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

摘要:

AbstractProceeding from Lancaster's definition of interactions between random variables, the authors set up a model for contingency tables of any dimension. Three‐dimensional contingency tables are used as an example to discuss first and second order interaction effects, and the conventional independence are expressed by hypotheses concerning interaction effects. The opinions of other authors regarding second order interaction effects are discusse

ISSN:0323-3847    

DOI:10.1002/bimj.4710270103

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

摘要:

AbstractUsing the inequality given by HUNTER(1976) critical limits are derived on the basis of bivariate distributions of the respective statistics for various situations of simultaneous hypothesis testing. The gain in power as compared to the widely used Bonferroni‐inequality can be considerable if at least some of the simultaneously investigated test‐statistics are highly correlated. In such situations, the loss in power as compared to the use of the exact critical limits might be negligible for practical purposes, the exact limits often being hardly accessi

ISSN:0323-3847    

DOI:10.1002/bimj.4710270104

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

摘要:

AbstractIn this paper a simple test is described, with which it is possible to check the assumption that in the cases of analysis of variance or covariance several interactions don't occur. This test is particularly useful also if some subclasses are empty and in the case of unequal subclass numbers in model I, model II and the mixed model.

ISSN:0323-3847    

DOI:10.1002/bimj.4710270105

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

摘要:

AbstractFollowing GRIZZLE (1965) and JESDINSKY et al. (1981) it is suggested to replace the traditional two‐groups (AB, BA) crossover design by a four‐groups (AA, AB, BA, BB) design in order to control for treatment‐period interactions (carry‐over effects). Contrary to the above authors it is proposed to use the incrementsD=X2‐X1from 1 st to 2 nd observations rather than the observations themselves as the dependent variable. Testing for main‐ and interaction effects of treatment is treated for increment modified Grizzle‐ and Jesdinsky ANOVAmodels. Alternative and conditional tests are discussed. Numerical evaluations are illustrated by an example from psych

ISSN:0323-3847    

DOI:10.1002/bimj.4710270106

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

ISSN:0323-3847    

DOI:10.1002/bimj.4710270107

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

摘要:

AbstractThis paper introduces a class of data‐dependent allocation rules for use in sequential clinical trials designed to choose the better of two competing treatments, or to decide that they are of equal efficacy. These readily understood and easily implemented rules are shown to reduce, substantially the number of tests with the poorer treatment for a broad category of experimental situations. Allocation rules of this type are applied both to trials with an instantaneous binomial response and to delayed response trials where interest centers on exponentially distributed survival time. In each case, a comparison of this design with alternative designs given in the literature shows that the proposed design is superior with respect to ease of application and is comparable to the alternatives regarding inferior treatment number and average sample number. In addition, the proposed rules mitigate many of the difficulties generally associated with adaptive assignment rules, such as selection and systematic bia

ISSN:0323-3847    

DOI:10.1002/bimj.4710270108

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

摘要:

AbstractKHAREand FEDERER(1981) have proposed a method for constructing resolvable incomplete‐block designs with, they claim, higher efficiencies than those of the α‐designs described by PATTERSONand WILLIAMS(1976a). This claim is shown here to be unfounded. The best α‐designs have higher efficiencies than the Khare and Federer designs, and can be constructed straightforwardly using the concise table of generating arrays in PATTERSON, WILLIAMSand HUNTE

ISSN:0323-3847    

DOI:10.1002/bimj.4710270109

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

ISSN:0323-3847    

DOI:10.1002/bimj.4710270110

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY

摘要:

AbstractConsider an experiment where a nonlinear continuous functional relationship exists betweenyandX.Assume that this relationship has been measured atnreplicated points ofXfrom each ofttreatments or populations. Assume further that theXare fixed unknown vectors and that the location parametervis either a fixed unknown vector or a vector of random variables. In the first case various linear hypotheses are to be tested aboutv, such as tests for main effects and interaction; in the second case, the mean and variance of the random variablevare to be estimated. A two‐step procedure based on asymptotic theory is presented to test hypotheses or develop estimates for the fixed effects or random effects functional errors‐in‐variable model. An example of a one‐way random effects model i

ISSN:0323-3847    

DOI:10.1002/bimj.4710270111

出版商:WILEY‐VCH Verlag    

年代:1985

数据来源: WILEY