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Literature DB >> 35496657

A Modified Sequential Probability Ratio Test.

Sandipan Pramanik¹, Valen E Johnson¹, Anirban Bhattacharya¹.

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 z tests, t 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.

Entities: Chemical

Keywords: Bayes factor; MaxSPRT; Sequential Bayes factor; Sequential Probability Ratio Test; Sequential design; Significance test; Uniformly most powerful Bayesian test

Year: 2021 PMID： 35496657 PMCID： PMC9053723 DOI： 10.1016/j.jmp.2021.102505

Source DB: PubMed Journal: J Math Psychol ISSN： 0022-2496 Impact factor: 1.387

18 in total

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Authors: Anna Dreber; Thomas Pfeiffer; Johan Almenberg; Siri Isaksson; Brad Wilson; Yiling Chen; Brian A Nosek; Magnus Johannesson
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2. Sequential hypothesis testing with Bayes factors: Efficiently testing mean differences.

Authors: Felix D Schönbrodt; Eric-Jan Wagenmakers; Michael Zehetleitner; Marco Perugini
Journal: Psychol Methods Date: 2015-12-14

3. UNIFORMLY MOST POWERFUL BAYESIAN TESTS.

Authors: Valen E Johnson
Journal: Ann Stat Date: 2013 Impact factor: 4.028

4. Sequential accuracy in parameter estimation for population correlation coefficients.

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Journal: Psychol Methods Date: 2019-03-04

5. Redefine statistical significance.

Authors: Daniel J Benjamin; James O Berger; Magnus Johannesson; Brian A Nosek; E-J Wagenmakers; Richard Berk; Kenneth A Bollen; Björn Brembs; Lawrence Brown; Colin Camerer; David Cesarini; Christopher D Chambers; Merlise Clyde; Thomas D Cook; Paul De Boeck; Zoltan Dienes; Anna Dreber; Kenny Easwaran; Charles Efferson; Ernst Fehr; Fiona Fidler; Andy P Field; Malcolm Forster; Edward I George; Richard Gonzalez; Steven Goodman; Edwin Green; Donald P Green; Anthony G Greenwald; Jarrod D Hadfield; Larry V Hedges; Leonhard Held; Teck Hua Ho; Herbert Hoijtink; Daniel J Hruschka; Kosuke Imai; Guido Imbens; John P A Ioannidis; Minjeong Jeon; James Holland Jones; Michael Kirchler; David Laibson; John List; Roderick Little; Arthur Lupia; Edouard Machery; Scott E Maxwell; Michael McCarthy; Don A Moore; Stephen L Morgan; Marcus Munafó; Shinichi Nakagawa; Brendan Nyhan; Timothy H Parker; Luis Pericchi; Marco Perugini; Jeff Rouder; Judith Rousseau; Victoria Savalei; Felix D Schönbrodt; Thomas Sellke; Betsy Sinclair; Dustin Tingley; Trisha Van Zandt; Simine Vazire; Duncan J Watts; Christopher Winship; Robert L Wolpert; Yu Xie; Cristobal Young; Jonathan Zinman; Valen E Johnson
Journal: Nat Hum Behav Date: 2018-01

6. Accuracy in parameter estimation for a general class of effect sizes: A sequential approach.

Authors: Ken Kelley; Francis Bilson Darku; Bhargab Chattopadhyay
Journal: Psychol Methods Date: 2017-04-06

7. Estimating the standardized mean difference with minimum risk: Maximizing accuracy and minimizing cost with sequential estimation.

Authors: Bhargab Chattopadhyay; Ken Kelley
Journal: Psychol Methods Date: 2016-09-08

A Modified Sequential Probability Ratio Test.

1. Using prediction markets to estimate the reproducibility of scientific research.

2. Sequential hypothesis testing with Bayes factors: Efficiently testing mean differences.

3. UNIFORMLY MOST POWERFUL BAYESIAN TESTS.

4. Sequential accuracy in parameter estimation for population correlation coefficients.

5. Redefine statistical significance.

6. Accuracy in parameter estimation for a general class of effect sizes: A sequential approach.

7. Estimating the standardized mean difference with minimum risk: Maximizing accuracy and minimizing cost with sequential estimation.

8. On the Existence of Uniformly Most Powerful Bayesian Tests With Application to Non-Central Chi-Squared Tests.

9. Interim analysis: the alpha spending function approach.

10. A multiple testing procedure for clinical trials.

1. Efficient alternatives for Bayesian hypothesis tests in psychology.