A note on tests for relevant differences with extremely large sample sizes | Zendy

Callegaro Andrea | Zendy; Ndour Cheikh | Zendy; Aris Emmanuel | Zendy; Legrand Catherine | Zendy

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A note on tests for relevant differences with extremely large sample sizes

Author(s) -

Callegaro Andrea,

Ndour Cheikh,

Aris Emmanuel,

Legrand Catherine

Publication year - 2019

Publication title -

biometrical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.108

H-Index - 63

eISSN - 1521-4036

pISSN - 0323-3847

DOI - 10.1002/bimj.201800195

Subject(s) - sample size determination , statistics , sample (material) , statistical hypothesis testing , mathematics , multiple comparisons problem , set (abstract data type) , data set , test (biology) , infinity , large sample , zero (linguistics) , computer science , econometrics , mathematical analysis , linguistics , chemistry , philosophy , chromatography , programming language , paleontology , biology

A well‐known problem in classical two‐tailed hypothesis testing is that P ‐values go to zero when the sample size goes to infinity, irrespectively of the effect size. This pitfall can make the testing of data consisting of large sample sizes potentially unreliable. In this note, we propose to test for relevant differences to overcome this issue. We illustrate the proposed test on a real data set of about 40 million privately insured patients.

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