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100% crossblock covariance in non-rotated PLS
kryherd
Posted on 07/03/18 14:53:33
Number of posts: 9
kryherd posts:

Hi,

I recently ran a non-rotated behavioral PLS with a single contrast. It is my first time running a non-rotated PLS, so I'm not sure if the values I am getting are reasonable. The percent crossblock covariance explained by the LV is 100%, which seems unlikely. When I ran a regular behavioral PLS on the two conditions of interest, the main LV accounted for 85.65% of the covariance. I would appreciate any help in interpreting and reporting the covariance explained by the non-rotated PLS.

Thanks,

Kayleigh

Replies:

Untitled Post
rmcintosh
Posted on 07/03/18 15:46:03
Number of posts: 394
rmcintosh replies:

this is expected because with one contrast there is only one source of covariance to consider, so it must account for 100%.  That metric is really only relevant when you have more than one contrast and are comparing it relative to one another or to a comparable analysis for another group.  Be mindful that this is NOT variance accounted for.



Untitled Post
kryherd
Posted on 07/03/18 15:48:16
Number of posts: 9
kryherd replies:

Thank you for this quick response. Is there another metric that I should use when reporting the amount of variance the LV accounts for?



Untitled Post
rmcintosh
Posted on 07/03/18 15:54:57
Number of posts: 394
rmcintosh replies:

quote:

Thank you for this quick response. Is there another metric that I should use when reporting the amount of variance the LV accounts for?

There really isn't a metric for variance accounted for per se.  You could calculate something like Cohen's d but that's not part of the code.



Untitled Post
kryherd
Posted on 07/03/18 16:03:17
Number of posts: 9
kryherd replies:

OK. I do report the percent crossblock covariance for a regular mean-centered Task PLS -- is this more similar to a percent variance explained or should I avoid reporting this metric in general?



Untitled Post
rmcintosh
Posted on 07/03/18 21:36:40
Number of posts: 394
rmcintosh replies:

quote:

OK. I do report the percent crossblock covariance for a regular mean-centered Task PLS -- is this more similar to a percent variance explained or should I avoid reporting this metric in general?

You can report the percent cross-block, but also report the associated singular value as that can be compared between analyses of the same data matrix




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