On Generating Hypotheses from Sub-Samples | ||||
The Egyptian Statistical Journal | ||||
Article 5, Volume 35, Issue 1, June 1991, Page 74-80 | ||||
Document Type: Original Article | ||||
DOI: 10.21608/esju.1991.314995 | ||||
View on SCiNiTO | ||||
Authors | ||||
Mohamed I. Hamdy; Mahmoud A. Atalla | ||||
Abstract | ||||
Suppose one has a large body of data on many variables and, for many variables, no clear rationale for a test of one-sided alternative exists. In such circumstances, a procedure which may be followed is to do two-sided testing on a sub-set of the data, and then a one-sided test in the direction suggested by the data providing the sub-sample test is, in some sense, significant. Under some particular assumptions (normality, known variance) we investigate the appropriate choice of significance levels and relative size of sub-sample for comparison of means to maximize power when the alternative selected is true. Results are compared with the alternate of performing a single two-tailed test. | ||||
Keywords | ||||
Optimum Sub-sample size; Two-stage Significance Test; Choice of Significance Levels | ||||
Statistics Article View: 19 |
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