I’m analyzing longitudinal microbiome data (3 timepoints) from a diet intervention study with three arms. My goals are:
- Use linear mixed models (LMMs) to test species changes over time.
- Use GLMs to associate Δspecies (T3-T0) with Δphenotype (T3-T0).
I am wondering about that if I CLR-transform each timepoint separately, zeros at the same timepoint get different post-transformation values due to per-timepoint geometric means (e.g., a species absent at both T0 and T3 in one sample gets two different zero values post-CLR). However, if I CLR-transform all timepoints jointly, zeros are handled consistently, but I worry this might obscure timepoint-specific compositional effects.
What is more logical to do here?
Thank you!