منابع مشابه
A Test of Homogeneity for Two Multivariate Populations
The classical tests of homogeneity, such as the twosample Kolmogorov-Smirnov test, do not have a natural extension to comparing two multivariate populations. G. J. Székely and N. K. Bakirov have proposed a new test based on Euclidean distance between sample elements. This test can be applied to testing homogeneity of any two multivariate populations with finite second moments, and the test is r...
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Ranked Set Sampling (RSS) is a statistical method for data collection that leads to more efficient estimators than competitors based on Simple Random Sampling (SRS). We consider testing the correlation coefficient of bivariate normal distribution based on Bivariate RSS (BVRSS). Under one-sided and two-sided alternatives, we show that the new tests based on BVRSS are more powerful than the usua...
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The homogeneity of variance assumption is one of the critical assumptions underlyingmost parametric statistical procedures such as the analysis of variance and it is important to be able to test this assumption. In addition, showing that several samples do not come from populations with the same variance is sometimes of importance per se. Among the many procedures used to test this assumption, ...
متن کاملLikelihood Ratio Test for Homogeneity in Normal Mixtures in the Presence of a Structural Parameter
This paper investigates the asymptotic properties of the likelihood ratio statistic for testing homogeneity in normal mixture models in the presence of a structural parameter. The asymptotic null distributions of the ordinary likelihood ratio statistic and the modified likelihood ratio statistic are the same, having the probability density function(pdf) (1/2)g1(x)+(1/2)g2(x) where g1(x) and g2(...
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ژورنال
عنوان ژورنال: The Annals of Mathematical Statistics
سال: 1941
ISSN: 0003-4851
DOI: 10.1214/aoms/1177731754