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Methods to Test for Equality of Two Normal Distributions<br />

Nur Ain Binti Md Yusof<br />

Supervisor: Dr. Chee Chew Seng<br />

Bachelor of Science (Computational Mathematics)<br />

School of Informatics and Applied Mathematics<br />

Most statisticians use statistical tests for two independent samples under normal<br />

assumption as a routine. However, many studies have shown that statistical tests do not<br />

necessarily will get the accurate answers. The aims of this research are to introduce twosample<br />

model with equal variances and to introduce two-sample test and the F test for<br />

equality of variance where the test problem for the equality of two normal distributions<br />

are identified and the test is apply to a set of actual data to illustrate the result of the<br />

test. This study describes the information about the procedure of test that used to test<br />

the equality of two normal distributions which are likelihood ratio test and combination<br />

of p values. The result of this study is the minimum method since the minimum method<br />

is the closest to a diagnostic test and it is corresponds to the Bonferroni correction.<br />

974 | UMT UNDERGRADUATE RESEARCH DAY 2018

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