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I have two computers that have access to the same sensor on a plane and both log speed every second. What sample size formula should I use for testing a null hypothesis of equivalence in terms of speed logged?

Assuming the speeds logged are normally distributed

#1 Sample Sizes for Two Independent Samples, Continuous Outcome

#2 Sample Size for Paired Samples, Continuous Outcome

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  • $\begingroup$ When you say "what sample size formula should I use for testing a null hypothesis of equivalence in terms of speed logged", I assume that you are looking for a statistics test that allows you to determine whether both computers are logging speed the same way? $\endgroup$
    – Pitouille
    Sep 21, 2021 at 15:41

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Too few information about your problem is provided. My understanding is that you want to perform an equivalence test. The simplest approach is the TOST (Two-One-Sided T-test) procedure https://en.wikipedia.org/wiki/Equivalence_test. It is already well documented on this site https://stats.stackexchange.com/a/500121/321901

Concerning the sample size, same comment, too few information is provided, but you might be interested by this article: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5012670/ and the R package powerTOST

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