Testing Homogeneity of SN Ratios from Matched Quantitative Response with Binary Signal

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  • ２値信号と対応のある量的反応における等SN比性の検定
  • 2チ シンゴウ ト タイオウ ノ アル リョウテキ ハンノウ ニ オケル トウ SNヒセイ ノ ケンテイ

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Abstract

This paper deals with statistical comparison between several kinds of signal-response systems having the same objective function.Assume that these systems have a common binary signal and a quantitative response, respectively. The problem is formulated by the statistical test of the homogeneity of the noncentrality parameters of noncentral t distributions. Consider the case where the same set of test items is assigned to the several systems so that observed quantitative observations become dependent. New simple testing procedures are derived based on the variance stabilizing transformation. It is shown that the proposed procedures are conservative in almost every case. The influence of dependencies on the efficiencies is also investigated.It is shown that assigning the same set to different systems is almost more efficient than using independent sets.

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