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If a variable in a regression is statistically significant at the 0.1% level does that automatically mean it's also significant at the 5% level? I got the output for my variables with *** and now want to find out whether that automatically infers that they are also significant at a 5% level.

rstudy123
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    I believe this question is better suited to https://stats.stackexchange.com/. The answer provided by @Ben-Bolker below is absolutely correct, but on the stats forum you will find a lot of discussion on this topic that might be helpful in future e.g. https://stats.stackexchange.com/a/3202 – jared_mamrot Mar 18 '21 at 22:19

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Yes. (If p<0.001 that implies, mathematically, that it must be <0.05 as well ...)

Ben Bolker
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