On a Proposed Test Statistic for Testing Equality of Two Means Under Unequal Population Variances

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dc.contributor.authorAbidoye, Adekunle Omotayo
dc.contributor.authorSanni, Olusola O. M.
dc.contributor.authorIkoba, Nehemiah Arhoesere
dc.contributor.authorJob, Obalowu
dc.date.accessioned2020-02-19T10:18:45Z
dc.date.available2020-02-19T10:18:45Z
dc.date.issued2017-04-30
dc.description.abstractIn this paper, we propose a test statistic for testing equality of two independent sample means for unequal variances. When variances differ, the pooled sample variance is inadequate as a single value for the variances. This problem is commonly known as the Behrens-Fisher problem. Instead, the sample harmonic mean of variances is proposed, examined and found to represent the unequal variances better. The distribution of this statistic which is known to be generalized Beta is further approximated by the chi-square distribution with the degrees of freedom related to that of the degrees of freedom of the chi-square distribution of the pooled sample variance. Consequently, it is used to replace the pooled sample variance in the resulting proposed t-test. An application of the test statistic using real-life data is provided.en_US
dc.identifier.citationAbidoye, A. O., Sanni, O. O. M., Ikoba, N. A. and Job, O. (2017). On a Proposed Test Statistic for Testing Equality of Two Means Under Unequal Population Variances. Taguwa Journal of Humanities, 8 (1), 152-158.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/3724
dc.language.isoenen_US
dc.publisherFaculty of Humanities, Umaru Musa Yar'Adua University, Katsina, Nigeriaen_US
dc.relation.ispartofseriesTaguwa Journal of Humanities;Volume 8
dc.relation.ispartofseriesNumber 1;Pages 152 - 158
dc.subjectHarmonic mean of variancesen_US
dc.subjectordered alternativeen_US
dc.subjectvariance heterogeneityen_US
dc.subjectChi-square distributionen_US
dc.subjectmodified t-test statisticen_US
dc.titleOn a Proposed Test Statistic for Testing Equality of Two Means Under Unequal Population Variancesen_US
dc.typeArticleen_US

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