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Chi-Square goodness of fit test for logistic distribution using RSS and SRS

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Chi-Square goodness of fit test for logistic distribution using RSS and SRS
Article
journal STATISTICA & APPLICAZIONI
issue STATISTICA & APPLICAZIONI - 2011 - 2
title Chi-Square goodness of fit test for logistic distribution using RSS and SRS
authors


publisher Vita e Pensiero
format Article | Pdf
online since 03-2011
issn 18246672 (print)
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In this paper, we introduce a new method to improve the power of the chi-square test for goodness of fit (GOF) of logistic distribution under selective order ranked Set sampling (RSS) based on minimum, median and maximum as compared to simple random sampling (SRS). Based on a simulation study, we illustrate that the chi-square test is found to be more powerful under selective order RSS when compared to SRS, particularly for minimum and maximum. However, for the case of median RSS, the test is found to be more powerful under SRS. To investigate these results further, the Kullback- Leibler information (KLI) is applied and similar results are found.

Keywords: Goodness of fit test, chi-square test, logistic distribution, ranked set sample, simple random sample.