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

Name: Chi-Square goodness of fit test for logistic distribution using RSS and SRS
Brand: Vita e Pensiero
Availability: OnlineOnly

digital

Article

Magazine

STATISTICA & APPLICAZIONI

Section

Open Access

Title

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

Authors

Sameer A. Al-Subh, Mohd T. Alodat, Kamarulzaman Ibrahim, Abdul A. Jemain

Publisher

Vita e Pensiero

Format

Article |

Pdf

Pages

Online from

03-2011

Issn

1824-6672 (print) | 2283-6659 (digital)

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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.

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