A Test of the Equality of Several SN Ratios for the Systems with Dynamic Characteristics

摘要

In this paper a test of the equality of several signal-to-noise ratios for p kinds of signal-response systems is considered. A simple linear regression model is assumed for each signal-response system, then the problem is equivalent to the test of the equality for two or several noncentrality parameters of noncentral t distributions. New simple testing procedures are derived based on the variance stabilizing transformation, and their sizes and powers are investigated. They are also compared with the tests proposed by Miwa. It is shown that the proposed simple procedures are conservative and that their sizes are close to the nominal level.