Table 4. A brief overview of the types of target variables and regression models in MXM.
Target variable type | Regression model or test |
---|---|
Continuous and percentages
without zeros |
Linear, MM and quantile regression, Pearson and Spearman
correlation coefficients |
Multivariate continuous | Multivariate linear regression |
Compositional data | Multivariate linear regression |
(Strictly) positive valued | Gaussian and Gamma regression with a log-link |
Percentages with or without zeros | Beta regression and quasi binomial regression |
Counts | Poisson, quasi Poisson, negative binomial and zero inflated Poisson
regression |
Binary | Logistic regression, quasi binomial regression and
G
2 test of
independence |
Nominal | Multinomial regression and G 2 test of independence |
Ordinal | Ordinal regression |
Number of successes out of trials | Binomial regression |
Time-to-event | Cox, Weibull and exponential regression |
Matched case-control | Conditional logistic regression |
Left censored | Tobit regression |
Repeated/clustered, longitudinal | Generalised linear mixed models (GLMM) and Generalised
estimating equations (GEE) |