منابع مشابه
Multistage Tests ofMultiple Hypotheses
Conventional multiple hypothesis tests use step-up, step-down, or closed testing methods to control the overall error rates. We will discuss marrying these methods with adaptive multistage sampling rules and stopping rules to perform efficient multiple hypothesis testing in sequential experimental designs. The result is a multistage step-down procedure that adaptively tests multiple hypotheses ...
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The size of the bootstrap test of hypotheses is studied for the normal and exponential one and two-sample problems. It is found that the size depends not only on the problem, but on the choice of test statistic and the nominal level. In some special cases, the bootstrap test is UMP, but in other cases, it can be totally useless, such as being completely randomized or rejecting the null hypothes...
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Motivated by the problem of testing tetrad constraints in factor analysis, we study the large-sample distribution of Wald statistics at parameter points at which the gradient of the tested constraint vanishes. When based on an asymptotically normal estimator, the Wald statistic converges to a rational function of a normal random vector. The rational function is determined by a homogeneous polyn...
متن کاملContrast Tests of Interaction Hypotheses
This article argues for the use of contrasts to test a priori interaction hypotheses in 2-way analysis of variance designs. It focuses on 3 underused types of interaction contrast tests: a "matching" pattern for cognate levels of row and column factors; the "qualitative quadratic," for monotonic profiles of means in the same direction but with opposed concavities; and a "differential curvilinea...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1959
ISSN: 0003-4851
DOI: 10.1214/aoms/1177706378