I would like to ascertain what variables discriminate best between experimental conditions in a repeated-measures experimental design.
I have performed Repeated Measures MANOVA to determine whether the groups of measurements differ significantly at all and found they indeed do. I can get a rough idea of what variables have the highest prediction power, based on their Roy's greatest root value (one could have used another statistic, of course). I would now like to check this via another statistical analysis which would follow the MANOVA.
Speaking loosely, I am looking for a predictive discriminant analysis analogous to repeated measures MANOVA.
From what I have read on Repeated Measures (Longitudinal) Discriminant Analysis, it seems that it is used to discriminate between groups of subjects all of which have been measured on several occasions (Sajobi et al., 2011; Lix and Sajobi, 2010; Komarek et al., 2009; Kohlmann, 2010). On the other hand, what I am looking for would discriminate between these repeated measures themselves, all of which included all of the participants (a single group).
Brief two paragraphs in McLachlan (section 3.7.5, pp. 83-84) were too compressed to give any insight.
Kohlmann, M. (2010). Discriminant Analysis for Longitudinal Data with Application in Medical Diagnostics (Doctoral dissertation, lmu).
Komárek, A., Hansen, B. E., Kuiper, E. M. M., van Buuren, H. R., & Lesaffre, E. (2010). Discriminant analysis using a multivariate linear mixed model with a normal mixture in the random effects distribution. Statistics in Medicine, 29(30), 3267–3283. doi:10.1002/sim.3849
Lix, L. M., & Sajobi, T. T. (2010). Discriminant Analysis for Repeated Measures Data: A Review. Frontiers in Psychology, 1, 1-9. doi:10.3389/fpsyg.2010.00146
McLachlan, G. (2004). Discriminant analysis and statistical pattern recognition (Vol. 544). John Wiley & Sons.
Sajobi, T. T., Lix, L. M., Li, L., & Laverty, W. (2011). Discriminant Analysis for Repeated Measures Data: Effects of Mean and Covariance Misspecification on Bias and Error in Discriminant Function Coefficients. Journal of Modern Applied Statistical Methods, 10(2), 571-582. Available at: digitalcommons.wayne.edu/jmasm/vol10/iss2/15