Search Probability for Non-zero Effects Detection under Skew-Normal/Independent Search Model

Abstract

. Shirakura et al. (1996) has been introduced and calculated the search probability ( SP ) for normal search model. However, in practical situations the normality assumption may fail. In this study, we consider a more realistic underlying skew-normal/independent ( SNI ) model and obtain the SP . This is a general case, in a sense that the result in Shirakura et al. (1996) is its special case. The proposed SP carries some reliable properties and can be used as a design comparison criterion to compare and rank the search designs ( SD ).