摘要:

AbstractThis paper explores some possibilities for variance reduction by the use of antithetic variates when estimating probabilities.

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1984.tb01099.x

出版商:Blackwell Publishing Ltd    

年代:1984

数据来源: WILEY

摘要:

AbstractFor hypothesis testing in curved bivariate normal families we compare various size a tests by means of their Hodges‐Lehmann efficacies at fixed alternatives, in particular when these tests have equal optimal asymptotic power in the local Pitman sense. The locally most powerful tests and the likelihood ratio tests for the curve are both Pitman optimal, but the latter turn out to have higher Hodges‐Lehmann efficacy. All the tests considered here, including the locally most powerful tests, are likelihood ratio tests against suitable (possibly enlarged) sets of alternatives, the curve itself being an important special case of such a subset. In passing we illustrate a general result in Brown (1971) concerning Hodges‐Lehmann optimality obtained by enlarging the

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1984.tb01100.x

出版商:Blackwell Publishing Ltd    

年代:1984

数据来源: WILEY

摘要:

AbstractIn latent theory the measurement properties of a mental test can be expressed in the test information function. The relative merits of two tests for the same latent trait can be described by the relative efficiency function, i.e. the ratio of the test information functions. It is argued that these functions have to be estimated if the values of the item difficulties are unknown. Using conditional maximum likelihood estimation as indicated by Andersen (1973), pointwise asymptotic distributions of the test information and relative efficiency function are derived for the case of dichotomously scored Rasch homogeneous items. Formulas for confidence intervals are derived from the asymptotic distributions. An application to a mathematics test is given and extensions to other latent trait models are discussed.

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1984.tb01101.x

出版商:Blackwell Publishing Ltd    

年代:1984

数据来源: WILEY

摘要:

AbstractThe concept of a simple linear rank statistic is essential in nonparametric theory. These statistics may be used for testing the null‐hypothesis that all observations are independent and identically distributed against classes of alternatives indicated by the choice of regression constants and scores. Special cases are the two‐sample Linear rank statistics and Spearman's rank correlation coefficient rho under the null‐hypothesis of independence.In this paper we shall give a survey of the asympotic distribution theory of simple linear rank stati

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1984.tb01102.x

出版商:Blackwell Publishing Ltd    

年代:1984

数据来源: WILEY

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1984.tb01103.x

出版商:Blackwell Publishing Ltd    

年代:1984

数据来源: WILEY

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1984.tb01104.x

出版商:Blackwell Publishing Ltd    

年代:1984

数据来源: WILEY

ISSN:0039-0402    

DOI:10.1111/j.1467-9574.1984.tb01105.x

出版商:Blackwell Publishing Ltd    

年代:1984

数据来源: WILEY