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

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).