摘要:

AbstractIn this paper an analysis of a sum of squares for linear hypothesis in a fixed linear model is presented. The analysis is based on a partition of sum of squares into independent components. These components are treated as sums of squares for hypotheses implied by an overall one. In the special case components of a sum of squares are distributed with one degree of freedom each and hypotheses concern single parametric functions. In the model not of full rank the form of a sum of squares is transformed before partitioning. The case of the model for cross classification is considered in details. Next the cases of the model of full rank and the one with restrictions on parameters are discussed. The model for balanced design with unweighted restrictions on parameters is considered in details. In this case sume of squares for orthogonal contrasts are obtained from analysis of the sum of squares for hypothesis concerning main or interaction effects.

ISSN:0323-3847    

DOI:10.1002/bimj.4710240202

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

摘要:

AbstractMathematical details of obtaining the likelihood functions for testing hypotheses under the mixed model for quantitative traits are given. Since families are assumed to be chosen by the value of the trait of a particular family member, conditional distributions are required. Algorithms for efficient computation of the likelihood are given.

ISSN:0323-3847    

DOI:10.1002/bimj.4710240203

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

ISSN:0323-3847    

DOI:10.1002/bimj.4710240204

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

摘要:

AbstractIn many processes one has to describe events in which given particles or elements divide themselves so that these elements are to observe only after the division.In biological problems one meets such a situation i.e. in the cultivation of bacteria. In this paper we investigate a mathematical model which describes such a phenomenon. We give estimators for the expectation μ and the variance σ2of the distribution of the undivided particles. Therefore we give a best linear unbiased estimator for μ and an estimator μ where a clustering of the observation is essentially.In an example for the judgment of a cultivation method we demonstrate the given estimation procedu

ISSN:0323-3847    

DOI:10.1002/bimj.4710240205

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

摘要:

AbstractThis paper presents a method to generate automatically computer programs which are necessary for parameter estimation, hypothesis tests and construction of confidence intervals by the maximum likelihood method. The spectral or density function of the random variable is arbitrary, but must be known and given in closed form. The programming language used is the symbol processing language LIBAFORM, whose statements are interpreted by a package of LISP‐routines. The application of the method is illustrated by the analysis of a linear model whose residuals follow a logarithmicF‐distribution, and the analysis of a dose‐response

ISSN:0323-3847    

DOI:10.1002/bimj.4710240206

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

摘要:

AbstractAn algorithm is presented which permits the exact evaluation of sparse cross‐classifications and contingency tables. It may be used to compute the exact point and cumulative probabilities of observed values of theX2‐like test statistic, or even of the observed tables themselves. For sparser cases, it may also be used to generate part or all of the exact distributions. As a corollary, an operational solution is presented to the enumeration problem of rectangular integer matrices with arbitrarily fixed row and column sums. Exact results obtained with the algorithm accompany this presentation, giving, further support to the recommendation that the Gamma distribution be preferred to the Chi‐square in sparse

ISSN:0323-3847    

DOI:10.1002/bimj.4710240207

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

ISSN:0323-3847    

DOI:10.1002/bimj.4710240208

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

摘要:

AbstractIn the present paper the linear logistic extension of latent class analysis is described. Thereby it is assumed that the item latent probabilities as well as the class sizes can be attributed to some explanatory variables. The basic equations of the model state the decomposition of the log‐odds of the item latent probabilities and of the class sizes into weighted sums of basic parameters representing the effects of the predictor variables. Further, the maximum likelihood equations for these effect parameters and statistical tests for goodness‐of‐fit are given. Finally, an example illustrates the practical application of the model and the interpretation of the model param

ISSN:0323-3847    

DOI:10.1002/bimj.4710240209

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

摘要:

AbstractThis paper gives a re‐formulation of a model for the line transect method in terms of the theory of stationary point processes. The well‐known formulae for this method are shown to be valid also under very general assumpti

ISSN:0323-3847    

DOI:10.1002/bimj.4710240210

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY

ISSN:0323-3847    

DOI:10.1002/bimj.4710240212

出版商:WILEY‐VCH Verlag    

年代:1982

数据来源: WILEY