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Feb 14, 2023 at 16:16 history edited Dave CC BY-SA 4.0
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S Jan 25, 2023 at 17:37 history bounty ended Dave
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Jan 22, 2023 at 20:36 answer added EdM timeline score: 2
Jan 18, 2023 at 20:17 comment added whuber @BigBendRegion Great comments. Much of the interesting math to which you refer was done in 1980 by Belsley, Kuh, & Welsch, Regression diagnostics. They focus on finding groups of variables that might contribute individually to multicollinearity, yet be relatively uncorrelated between groups.
S Jan 18, 2023 at 16:23 history bounty started Dave
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Dec 2, 2022 at 12:55 comment added BigBendRegion A "chunk" can be highly significant while variables within the chunk are insignificant, due to multicollinearity of variables within the chunk. So variance inflation does not seem to be an issue for the chunk test, despite collinearity within the chunk. As an example, there is perfect multicollinearity between variables in the full dummy representation of a factor, but the partial F test is not affected. On the other hand, if there is multicollinearity between chunks, there will definitely be a variance inflation issue. Seems like interesting math involving a cross- correlation matrix.
Dec 2, 2022 at 5:52 history asked Dave CC BY-SA 4.0