摘要:

This paper is concerned with the statistical analysis of proportions involving extra‐binomial variation. Extra‐binomial variation is inherent to experimental situations where experimental units are subject to some source of variation, e.g. biological or environmental variation. A generalized linear model for proportions does not account for random variation between experimental units. In this paper an extended version of the generalized linear model is discussed with special reference to experiments in agricultural research. In this model it is assumed that both treatment effects and random contributions of plots are part of the linear predictor. The methods are applied to results from two agricultural experime

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1993.tb01414.x

出版商:Blackwell Publishing Ltd    

年代:1993

数据来源: WILEY

摘要:

We present short proofs of some basic results from isotonic regression theory. A straightforward argument is given to show that the left continuous version of the concave majorant of the empirical distribution function maximizes the likelihood functionf↦f(X,)…f(Xn) within the class of non‐increasing densities. Similarly, it is shown that the nonparametric maximum likelihood estimator (NPMLE) of the distribution function of interval censored data has an interpretation in terms of the left derivative of a convex minor ant. Finally, a short proof is given to show that the number of vertices of the concave major ant of the uniform empirical distribution function is asymptotically normal with asymptotic mean and variance both equal to

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1993.tb01415.x

出版商:Blackwell Publishing Ltd    

年代:1993

数据来源: WILEY

摘要:

Inequality constrained regression involves the notion of a truncated parameter space, which was studied extensively by Moors (1985). His general results are extended here and applied to linear models. Using the invariance principle, for every observation x a set Vxis defined with the property that estimators taking values inVx(with positive probability) are inadmissible. One of the main conclusions is that the usual estimators in inequality constrained regression are inadmissible; a method to obtain better estimators is indicated.

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1993.tb01416.x

出版商:Blackwell Publishing Ltd    

年代:1993

数据来源: WILEY

摘要:

The problem of comparing the precisions of two instruments using repeated measurements can be cast as an extension of the Pitman‐Morgan problem of testing equality of variances of a bivariate normal distribution. Hawkins (1981) decomposes the hypothesis of equal variances in this model into two subhypotheses for which simple tests exist. For the overall hypothesis he proposes to combine the tests of the subhypotheses using Fisher's method and empirically compares the component tests and their combination with the likelihood ratio test. In this paper an attempt is made to resolve some discrepancies and puzzling conclusions in Hawkins's study and to propose simple modifications.The new tests are compared to the tests discussed by Hawkins and to each other both in terms of the finite sample power (estimated by Monte Carlo simulation) and theoretically in terms of asymptotic relative efficiencie

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1993.tb01417.x

出版商:Blackwell Publishing Ltd    

年代:1993

数据来源: WILEY

摘要:

In the paper, we consider the following problem: Let {πk} be a sequence satisfying 0πkΣ1 (k=1,…, N) and π=n.Tben, is there an unordered sampling design such that, for eachk=1,…N, the inclusion probability of unitkis equal to π? It is shown that it can be solved by the straightforward application of the Minkowski‐Fark

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1993.tb01418.x

出版商:Blackwell Publishing Ltd    

年代:1993

数据来源: WILEY

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1993.tb01419.x

出版商:Blackwell Publishing Ltd    

年代:1993

数据来源: WILEY