Dear Geneviève,
The document mentioned by the reviewer is actually published as a
chapter of the SPM book. I also list further references that you might
find useful.
Penny, W. & Henson, R.N. (2006). Analysis of Variance. In K. Friston, J.
Ashburner, S. Kiebel, T. Nichols, and W. Penny (Eds), Statistical
Parametric Mapping: The analysis of functional brain images. Elsevier,
London, 2006.pp. 166-177.
http://www.mrc-cbu.cam.ac.uk//personal/rik.henson/personal/PennyHenson_SPM_06b.pdf
Henson, R.N (2015) Analysis of Variance (ANOVA). In: Arthur W. Toga,
editor. Brain Mapping: An Encyclopedic Reference, vol. 1, pp. 477-481.
Academic Press: Elsevier.
http://www.mrc-cbu.cam.ac.uk/wp-content/uploads/2015/03/Henson_EN_15_ANOVA.pdf
Friston, K.J. et al (2002) Classical and Bayesian Inference in
Neuroimaging: Applications. NeuroImage. 16:484-512.
https://doi.org/10.1006/nimg.2002.1091
McFarquhar, M. (2018, April 10). Modelling group-level repeated measures
of neuroimaging data using the univariate general linear model.
https://doi.org/10.31234/osf.io/a5469
Flexible factorial design is indeed SPM terminology and refers to an
option in the interface to specify the design matrix (and non-sphericity
assumptions) of a GLM.
Instructions for a 2x2 mixed ANOVA are given here:
https://en.wikibooks.org/wiki/SPM/Group_Analysis
Best wishes,
Guillaume.
On 22/11/2018 11:49, Genevieve Allaire-Duquette wrote:
> Hi,
>
> I recently submitted a manuscript where I used a "random effects flexible-factorial design" with one within-subject and one between-subject factor (2X2) in SPM8.
>
> One reviewer criticized the approach (see below) and I'd like to know if there is some relevant literature I could use to explain the model better.
>
> Many thanks,
> Geneviève Allaire-D.
>
> *
>
> The use of "random effects flexible-factorial" is not given a published citation so one looks for supporting literature. The SPM8 manual only describes this modeling nonstatistically, in section 10.2.8. Henson and Penny's Technical Report (2003? 2005?) (https://www.fil.ion.ucl.ac.uk/~wpenny/publications/rik_anova.pdf) does not make any note of the flexible-factorial concept, and where it is available on the web it seems not to be elucidated in detail.
>
> No other software product appears to use the phrase, and it is not in common parlance. Thus, it will have to be explained to the readership in much finer detail to be interpretable here.
>
> Moreover, a recent critique by Chen et al (Neuroimage 2014, https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4121851/) shows that SPM is hindered by serious limitations and can readily overestimate significance.
>
--
Guillaume Flandin, PhD
Wellcome Centre for Human Neuroimaging
UCL Queen Square Institute of Neurology
London WC1N 3BG
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