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A Modified Sequential Probability Ratio Test

Methodology 2020-12-04 v4

Abstract

We describe a modified sequential probability ratio test that can be used to reduce the average sample size required to perform statistical hypothesis tests at specified levels of significance and power. Examples are provided for zz tests, tt tests, and tests of binomial success probabilities. A description of a software package to implement the test designs is provided. We compare the sample sizes required in fixed design tests conducted at 5%\% significance levels to the average sample sizes required in sequential tests conducted at 0.5%\% significance levels, and we find that the two sample sizes are approximately equal.

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Cite

@article{arxiv.1811.08478,
  title  = {A Modified Sequential Probability Ratio Test},
  author = {Sandipan Pramanik and Valen E. Johnson and Anirban Bhattacharya},
  journal= {arXiv preprint arXiv:1811.08478},
  year   = {2020}
}

Comments

50 pages, 22 figures

R2 v1 2026-06-23T05:22:44.366Z