Date of Award
Master of Science (MS)
Professor M. L. Tiku
Several test statistics, which are known, can be used for testing for outliers. Two new statistics T and tc are proposed. T and tc are based on censored and complete samples and are similar to Tiku's T and tc statistics for testing for normality. The distribution of T is closely approximated by the Beta distribution, and the distribution of tc is closely approximated by Student's t distribution. T and tc are also both origin and scale invariant. Besides T and tc are easy to calculate. The statistic T is more powerful than Tietjen and Moore's statistics Lr and Er. The statistic tc is, on the whole, as powerful as Er.
Chawla, Satwant, "Testing For Outliers" (1975). Open Access Dissertations and Theses. Paper 489.