On Generating Hypotheses from Sub-Samples | ||
| The Egyptian Statistical Journal | ||
| Article 6, Volume 35, Issue 1, June 1991, Pages 74-80 PDF (3.41 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.1991.314995 | ||
| Authors | ||
| Mohamed I. Hamdy* 1; Mahmoud A. Atalla2 | ||
| 1Dep. of Computer and Information Sciences, Institute of Statistical Studies & Research, Cairo University, Egypt | ||
| 2Dep. of Engineering Physics and Mathematics , Faculty of Engineering, Ain Shams University. Egypt. | ||
| 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 | ||
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