Development of Hypothesis Testing On Type One Error and Power Function
Keywords:
Type I error, Power, heterogeneous variances, unequal variance, conventional t –test, proposed t –testAbstract
In this study the proposed test statistic for testing hypothesis of equality of means against ordered alternatives under heterogeneous variances was proposed. We compared it with the conventional t – test using the sample pooled variance. The comparisons of the two tests were made using type 1 error and power under non – overlapping situations. The result shows that proposed test performed better with respect to type 1 error rate. Power of the proposed test was found to be consistently higher than the conventional t – test.
