78 – Inference
A New Modified Trimmed Mean for Estimating Confidence Interval of Mean for Skewed Populations
Tanweer Shapla
Eastern Michigan University
Khairul Islam
Eastern Michigan University
In this paper, we propose a new modified trimmed mean for the point and confidence interval (CI) estimate of the mean of skewed populations. The performances of the proposed estimates have been compared using real life examples and a simulation study with the Student's t, mad t, median t and trimmed t for varying levels of skewness in the populations. From the results of examples and simulation study, it appears that with skewed distribution, the proposed trimmed t and modified trimmed t CIs are as good as mad t or median t CIs in coverage probability consideration. With lower percent trimmed, trimmed and modified trimmed t CIs are identical or close to the Student's t CI, and with increased percentage trimmed, they are identical or close to the median t CI.