Hamdy, M., Atalla, M. (1991). On Generating Hypotheses from Sub-Samples. The Egyptian Statistical Journal, 35(1), 74-80. doi: 10.21608/esju.1991.314995
Mohamed I. Hamdy; Mahmoud A. Atalla. "On Generating Hypotheses from Sub-Samples". The Egyptian Statistical Journal, 35, 1, 1991, 74-80. doi: 10.21608/esju.1991.314995
Hamdy, M., Atalla, M. (1991). 'On Generating Hypotheses from Sub-Samples', The Egyptian Statistical Journal, 35(1), pp. 74-80. doi: 10.21608/esju.1991.314995
Hamdy, M., Atalla, M. On Generating Hypotheses from Sub-Samples. The Egyptian Statistical Journal, 1991; 35(1): 74-80. doi: 10.21608/esju.1991.314995
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.
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