A New Transformed t-test for Skewed Data: A Goodness-of-fit Approach

Khairul Islam, Tanweer J. Shapla
2020 International Journal of Statistics and Probability  
A new transformed two-sample t-test has been proposed for testing equality of two population means for skewed distributions by means of a univariate normal goodness of fit to the combined sample. The small sample performance of the proposed test is compared with untransformed t-test and the non-parametric analogue of t-test via Wilcoxon rank sum test using real-life examples and simulation from skewed distributions with varying values of skewness, empirically. It reveals that the proposed new
more » ... the proposed new test is appropriate for estimating the level of significance and is more powerful than the untransformed t-test and the Wilcoxon rank sum test for skewed distributions.
doi:10.5539/ijsp.v9n5p30 fatcat:pqvo32zsf5cvjmf322ihronqhy