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From |
"Michael N. Mitchell" <Michael.Norman.Mitchell@gmail.com> |

To |
statalist@hsphsun2.harvard.edu |

Subject |
Re: st: "Repeated-measures" form of linear regression? |

Date |
Fri, 17 Sep 2010 14:56:23 -0700 |

Dear Pietro

Best regards, Michael N. Mitchell Data Management Using Stata - http://www.stata.com/bookstore/dmus.html A Visual Guide to Stata Graphics - http://www.stata.com/bookstore/vgsg.html Stata tidbit of the week - http://www.MichaelNormanMitchell.com On 2010-09-17 1.40 PM, Pietro Mazzoni wrote:

Dear Statalist, My question is not specific to Stata, but I am hoping that someone can at least point me to the topic of statistical testing on which I can do more reading to answer this question. I appreciate any suggestions. My hypothesis, in a motor control experiment, is that there is a linear relationship between a perturbation (say, force F) and a response (say, lateral deviation D). I obtained data from several subjects who were tested at various levels of force and whose response was a particular deviation for each force pulse. I feel that it would be incorrect to perform a linear regression of D vs. F on the pooled data, because this would ignore within-subject correlations. I see this data as analogous to repeated-measures ANOVA, because multiple pairs of (F, D) were collected within each subject. So my intuition tells me I should perform linear regression within each subject, and then somehow combine these results across the group, but I don't know what procedure might be the analog of rm-ANOVA for regression. One suggestion I got was to perform individual regressions within each subject and then average the values of the slopes and intercepts obtained to estimate slope and intercept

f!

or the group. But I am more interested in establishing whether there is a significant relationship at the group level (R square, p value for the group) than in determining the parameters of the regression, and I don't know how to combine the R squares or p values obtained for individual subjects. Where can I read about repeated-measures approaches for continuous variables/regression? Thanks in advance for any ideas. Pietro * * For searches and help try: * http://www.stata.com/help.cgi?search * http://www.stata.com/support/statalist/faq * http://www.ats.ucla.edu/stat/stata/

* * For searches and help try: * http://www.stata.com/help.cgi?search * http://www.stata.com/support/statalist/faq * http://www.ats.ucla.edu/stat/stata/

**References**:**st: "Repeated-measures" form of linear regression?***From:*Pietro Mazzoni <pm125@columbia.edu>

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