Timeline for How to test for a statistically significant difference between 3 groups?
Current License: CC BY-SA 4.0
6 events
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Apr 20, 2022 at 9:19 | comment | added | Tito Sanz | @PaulG the problem is that with big numbers chi-squared test is always significant. | |
Apr 19, 2022 at 13:22 | comment | added | PaulG | I don't quite understand the question. You already mentioned the chi-squared test (or F-test), which would be the appropriate test for multiple equations, i.e. in your case the null would be over the (de-meaned) means or percentages of the 3 groups: $H_0: \hat \mu_1 - \mu= 0; \hat \mu_2 - \mu= 0; \hat \mu_3 - \mu= 0$, which implicitly tests if the groups are the same (i.e. differences zero). If the result is significant then that's your answer: there is a statistically significant difference between the groups. Why are you looking for a different test? | |
Apr 19, 2022 at 11:01 | comment | added | jcken | General comment about sample sizes and hypothesis testing: huge sample sizes almost always leads to a statistically significant result regardless of the practical significance of the result. You might be better off defining a threshold ($x$%) and if the different in percentage row is more than $\pm x$% you deem the result "meaningful". The choice of $x$ is something a domain expert/you should come up with | |
Apr 19, 2022 at 10:53 | history | edited | Tito Sanz | CC BY-SA 4.0 |
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S Apr 19, 2022 at 10:46 | review | First questions | |||
Apr 19, 2022 at 11:01 | |||||
S Apr 19, 2022 at 10:46 | history | asked | Tito Sanz | CC BY-SA 4.0 |