摘要:

AbstractA set of differential equations is described whose solutions represent a general system of probability distribution functions. Previously reported systems of such distribution functions are special cases of this general system. The differential equations can be used to represent distribution functions and generate their related statistics in cases for which no simple formula for the distribution is known. The generality of this suprasystem of distribution functions and its potential utility are discussed.

ISSN:0323-3847    

DOI:10.1002/bimj.4710240402

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

摘要:

AbstractThis paper generalizes the estimator proposed by Searles (1964) and further studied by SRIVASTAVA(1980) and gives some expressions for the first two moments and an integral representation for the αthraw moment. The latter is found suitable for computational purposes. Some points in SRIVASTAVA'S(1980) paper are also clarified. Efficiencies of 3 estimators belonging to this class are analyzed with respect to the usual sample mean

ISSN:0323-3847    

DOI:10.1002/bimj.4710240403

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

摘要:

AbstractFor a balanced one‐way classification, where the normally distributed observations obey a random modelyij=μ+bi+cijwith two variance components var (bi) = δ 21and var (cij) = δ 22, the probability is given that the analysis of variance estimate of δ 21will be negative. This probability depends on δ 21/δ 22and the degrees of freedom in the ANOVA table. Tables for this probability are given. If the normally distributed observations obey an intra‐class correlation model, the probability that the Mean Square between groups is smaller than the Mean Square within groups can also be evaluated fr

ISSN:0323-3847    

DOI:10.1002/bimj.4710240404

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

摘要:

AbstractThis paper considers the estimation of variance components for a special subclass of Phase‐confounded designs. It is shown that if the balance existing in the design is utilized relatively simple expressions for the solutions of the normal equations and the relevant sums of squares can be obtaine

ISSN:0323-3847    

DOI:10.1002/bimj.4710240405

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

ISSN:0323-3847    

DOI:10.1002/bimj.4710240407

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

摘要:

AbstractIn this paper we consider the asymptotic distribution of linear rank‐statistics allowing certain dependencies between the random variables. General theorems will be given, from which the results contained in SEN(1967a, 1967b, 1968), MEHRA/SEN(1969) and PURI/SEN(1971) can be derived. Applying these theorems we can derive ranktests for the two‐sample problem for tied observations, for the two‐factor mixed model with random interaction and for a hierarchical design. The distribution of the proposed teststatistics for small sample sizes is considered by Monte‐Carlo

ISSN:0323-3847    

DOI:10.1002/bimj.4710240408

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

ISSN:0323-3847    

DOI:10.1002/bimj.4710240410

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

摘要:

AbstractThe results of a simulation study are presented in which the χ2‐and the information theoretic approach to association measurement were compared to one another. It could be shown that neither the maximal values nor the minimal values obtainable for a given sample size coincide in all cases. The underlying association concepts are defined; implications are discuss

ISSN:0323-3847    

DOI:10.1002/bimj.4710240411

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

摘要:

AbstractThe analysis of the time dependent behavior of an irreversible all‐or‐none process on the basis of data from cross sectional surveys requires special methods. Assuming a pure death process three models of different degree of sophistication have been developed, mathematically analyzed and applied to one particular example: the caries attack on the permanent teeth of child

ISSN:0323-3847    

DOI:10.1002/bimj.4710240412

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

ISSN:0323-3847    

DOI:10.1002/bimj.4710240413

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY