| Summary: | 碩士 === 中原大學 === 應用數學研究所 === 94 === We develop an algorithm which medical researchers can accurately estimate the sample size for a specific level and statistical power.For most test statisticals,the equations of sample sizes do not have a closed-form expression.It is usually calculated based on asymptotic methods,but asymptotic methods may not be reliable
in small sample cases.The proposed algorithm requires an initial guess of the sample size and then substitute into the alpha equation and beta equation until it converges.Successive approximations produced by the algorithm tend to fall closer to the sample sizes in two-sample t-test,ANOVA F-test,contingency X^2 test,and binomial test.
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