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The Cochran–Mantel–Haenszel tests are a suite of tests that are usually defined as conditional tests, tests that assume all marginal totals are known before sighting the data. Here unconditional analogues of these tests are defined for the more usual situation when the marginal totals are not known before sighting the data. 相似文献
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J. C. W. Rayner O. Thas B. De Boeck 《Australian & New Zealand Journal of Statistics》2008,50(3):235-240
The Emerson (1968, Biometrics 24 , 695–701) recurrence relation has many important applications in statistics. However, the original derivation applied only to discrete distributions. In the following, a simple derivation is given that generalizes the Emerson recurrence relation to any distribution for which the necessary expectations exist. A modern application is outlined. 相似文献
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Goodness of fit for thei ordered categories discrete uniform distribution can be carried out using Pearson's X2 pstatistic and its components. Applications of this technique are considered and comparisons made with recently suggested empirical uniform distribution 相似文献
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Tests based on the Anderson–Darling statistic, a third moment statistic and the classical Pearson–Fisher X 2 statistic, along with its third-order component, are considered. A small critical value and power study are given. Some examples illustrate important applications. 相似文献
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Reuben Ng Steve Rayner 《Innovation: The European Journal of Social Science Research》2010,23(2):85-100
Psychometric and cultural theory are key approaches used to explain risk perceptions. However, both approaches explain only 20 and 5–10% of the variance of risk perceptions, respectively. Through advances in social psychology, terror management theory revealed that certain survey questions used in the psychometric approach primed thoughts of death. Such unintentional priming evoked defense mechanisms that would subconsciously activate participants’ cultural biases and values when answering some questions but not others. There are two implications: one, psychometric theorists need to modify their questionnaires to reduce the incidence of priming thoughts of death; and two, integrating the psychometric and cultural theory approaches may potentially explain a higher amount of variance in risk perceptions. Specifically, attitudes (psychometric approach), demographics, affect and past behavior collectively influence cultural biases, which in turn exert an effect on risk perception. However, such a model calls for an appropriate measure of the dynamic nature of cultural biases that current attitudinal measures fall short of. Drawing from methodology within industrial/organizational psychology, the Situational Judgment Test (SJT) is proposed as an alternative measure for risk perception. Steps to designing an SJT are outlined and followed through to culminate in a 10-item SJT that measures cultural biases. 相似文献
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Robert K. Rayner 《统计学通讯:理论与方法》2013,42(10):2379-2392
This paper derives a test statistic for the variance-covariance parameters which is a quadratic function of their MINQUE (Minimum Norm Quadratic Unbiased Estimation) estimates. The test is a Wald-type test, and its development closely parallels the theory used to derive a similar test for the coefficients in linear models. In fact, the derivation proceeds by first setting up the estimation problem in a derived linear model in which the dispersion parameters are the coefficients. The test statistic is shown to be the sum of the squares of independent standardized x2 variables. 相似文献
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We consider likelihood ratio, score and Wald tests for a three-way random effects ANOVA model. Competitor tests are compared using criteria such as small sample power, asymptotic relative efficiency, and convenient null distribution. The final choice is between a new test and two tests long used in practice. 相似文献
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ABSTRACT The one-sample Wilcoxon signed rank test was originally designed to test for a specified median, under the assumption that the distribution is symmetric, but it can also serve as a test for symmetry if the median is known. In this article we derive the Wilcoxon statistic as the first component of Pearson's X 2 statistic for independence in a particularly constructed contingency table. The second and third components are new test statistics for symmetry. In the second part of the article, the Wilcoxon test is extended so that symmetry around the median and symmetry in the tails can be examined seperately. A trimming proportion is used to split the observations in the tails from those around the median. We further extend the method so that no arbitrary choice for the trimming proportion has to be made. Finally, the new tests are compared to other tests for symmetry in a simulation study. It is concluded that our tests often have substantially greater powers than most other tests. 相似文献
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