We present a Bayesian model for two-way ANOVA-type analysis of high-dimensional, small sample-size datasets with highly correlated groups of variables. Modern cellular measurement methods are a main application area; typically the task is differential analysis between diseased and healthy samples, complicated by additional covariates requiring a multi-way analysis. The main complication is the combination of high dimensionality and low sample size, which renders classical multivariate techniques useless. We introduce a hierarchical model which does dimensionality reduction by assuming that the input variables come in similarly-behaving groups, and performs an ANOVA-type decomposition for the set of reduced-dimensional latent variables. We apply the methods to study lipidomic profiles of a recent large-cohort human diabetes study.
- factor analysis
- hierarchical model
- multi-way analysis
- small sample-size
Huopaniemi, I., Suvitaival, T., Nikkilä, J., Orešič, M., & Kaski, S. (2009). Two-way analysis of high-dimensional collinear data. Data Mining and Knowledge Discovery, 19(2), 261-276. https://doi.org/10.1007/s10618-009-0142-5