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The maxSPRT is not agreed as the most efficient extension of SPRT to composite hypotheses <ref>Sequential generalized likelihood ratio tests for vaccine safety evaluation, Shih M, Lai T, Heyse J, Chen J, Statistics in Medicine, 29, 2698--2708, 2010</ref>
The maxSPRT is not agreed as the most efficient extension of SPRT to composite hypotheses <ref>Sequential generalized likelihood ratio tests for vaccine safety evaluation, Shih M, Lai T, Heyse J, Chen J, Statistics in Medicine, 29, 2698--2708, 2010</ref>
median = <math>\begin{matrix}I_{\frac{1}{2}}^{[-1]}(\alpha,\beta)(c-a) + a \text{ where } I_{\frac{1}{2}}^{[-1]}(\alpha,\beta) is the 50th percentile of the [[Beta function#Incomplete beta function|regularised incomplete beta function]]\\
median = <math>\begin{matrix}I_{\frac{1}{2}}^{[-1]}(\alpha,\beta)(c-a) + a \text{ where } I_{\frac{1}{2}}^{[-1]}(\alpha,\beta) \text{ is the 50th percentile of the [[Beta function#Incomplete beta function]]}\\
\approx \frac{7 a - 6 b - c}{7 a -12 b + 5 c}\end{matrix}</math>
\approx \frac{7 a - 6 b - c}{7 a -12 b + 5 c}\end{matrix}</math>

Revision as of 04:47, 29 May 2019

The maxSPRT is not agreed as the most efficient extension of SPRT to composite hypotheses [1] median = Failed to parse (unknown function "\begin{matrix}"): {\displaystyle \begin{matrix}I_{\frac{1}{2}}^{[-1]}(\alpha,\beta)(c-a) + a \text{ where } I_{\frac{1}{2}}^{[-1]}(\alpha,\beta) \text{ is the 50th percentile of the [[Beta function#Incomplete beta function]]}\\ \approx \frac{7 a - 6 b - c}{7 a -12 b + 5 c}\end{matrix}}

  1. ^ Sequential generalized likelihood ratio tests for vaccine safety evaluation, Shih M, Lai T, Heyse J, Chen J, Statistics in Medicine, 29, 2698--2708, 2010