Dear Angelo,
One way to do this is with the Anova() function in the car package; see the
following article in the R Journal:
@Article{RJournal:2013-1:fox-friendly-weisberg,
author = {John Fox and Michael Friendly and Sanford Weisberg},
title = {Hypothesis Tests for Multivariate Linear Models Using the
{car} Package},
journal = {The R Journal},
year = 2013,
volume = 5,
number = 1,
pages = {39--53},
month = jun,
url =
{http://journal.r-project.org/archive/2013-1/RJournal_2013-1_fox-friendly-we
isberg.pdf}
I hope this helps,
John
-----------------------------------------------
John Fox, Professor
McMaster University
Hamilton, Ontario, Canada
http://socserv.socsci.mcmaster.ca/jfox/
> -----Original Message-----
> From: R-help [mailto:r-help-boun...@r-project.org] On Behalf Of
> angelo.arc...@virgilio.it
> Sent: July-06-15 10:05 AM
> To: r-help@r-project.org
> Subject: [R] Sphericity for a repeated measure ANOVA with whithin and
> between subjects design, using R
>
> Dear List Members,
>
>
>
> I need to perform a four-way ANOVA with repeated measures and to
> calculate the sphericity for eventual correction of the degree of
> freedom of the F ratio.
> I have three within subjects factors (Emotion, having 5 levels,
> Material, having 4 levels, Shoes, having 2 levels) and a between subject
> factor (Musician, having 2 levels). Without considering the sphericity
> I
> use the following formula
>
> aov_SPL = aov(SPL ~ Emotion*Material*Shoes*Musician +
> Error(Subject/(Emotion*Material*Shoes)), data=scrd)
>
>
>
> Unfortunately after having read lot of material online I did not
> arrive to a solution about how to calculate for my case the epsilon of
> the Greenhouse-Geisser method for degree of freedom adjustment.
>
>
> I load my data in R with this formula:
>
> scrd<- read.csv(file='/path to data/data.csv',sep=',',header=T)
>
>
>
> and this is the structure of the imported table:
>
> > head(scrd)
> Subject Material Shoes Emotion H2H H2H_factor SPL_factor
> SPL_variation SPL Musician Weight Height
> 1 Subject1 Gravel dress_shoes AGGRESSIVE 468 0.736 11.591
> 21.283 97.383 no 90 183
> 2 Subject1 Gravel dress_shoes HAPPY 719 1.129 3.188
> 10.071 86.171 no 90 183
> 3 Subject1 Gravel dress_shoes TENDER 1129 1.774 5.114
> 14.176 90.276 no 90 183
> 4 Subject1 Gravel dress_shoes SAD 1010 1.587 13.102
> 22.347 98.447 no 90 183
> 5 Subject1 Gravel dress_shoes NEUTRAL 736 1.156 3.161
> 9.995 86.095 no 90 183
> 6 Subject10 Gravel dress_shoes AGGRESSIVE 635 0.998 15.849
> 24.000 100.100 yes 70 178
> >
>
>
>
> I noticed that in the car package there is the Anova() function that
> comes with the Maulchy's sphericity test, but it does not take as an
> input a model generated with aov(). I need to use lm() instead, but
> since
> I am not really proficient in R I do not know how to use the lm()
> starting from the loaded data and how to use Anova(). In addition, being
> a mixed design involving within and between subjects factors I wonder
> if Anova() is the most appropriate function to use for my case.
>
>
> Is there anyone who could provide me with the R code to calculate the
> Maulchy's test and the epsilon of Greenhouse-Geisser for my case?
>
>
> Thank you in advance
> Best
>
> Angelo
>
>
>
> [[alternative HTML version deleted]]
>
> ______________________________________________
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