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Exercise: Growth curve model with interaction
================
## Risperidone vs. haloperidol and schizophrenia (Möller et al. 2008)
Analyze the data from [moeller.csv](../data/moeller.csv):
- `pans`: Positive and Negative Symptom Scale for schizophrenia
- `treat`: medication group
- `risp`: atypical neuroleptic risperidone
- `halo`: conventional neuroleptic haloperidol
``` r
dat <- read.table("../data/moeller.csv", header = TRUE, sep = ",")
dat$id <- factor(dat$id)
dat$treat <- factor(dat$treat, levels = c("risp", "halo"))
lattice::xyplot(pans ~ week, data = dat, groups = treat,
type = c("g", "p", "a"), auto.key = TRUE)
```
<img src="schizo_files/figure-gfm/unnamed-chunk-2-1.png" alt="" style="display: block; margin: auto;" />
- What is the sample size in each treatment group?
- Estimate a random slope model
- What are the estimates for the fixed effects and variance
components?
- Fit a model with quadratic time trends for the population and
individual subjects
- Add an interaction with treatment for the linear and the quadratic
effects for week and test them
- Interpret your results: Which model would you choose?
- Refit the model that you chose with a centered week variable:
- Compare the estimates for your fixed effects and the covariance
components
- Which estimates change and why?
### Reference
<div id="refs" class="references csl-bib-body hanging-indent">
<div id="ref-Moeller08" class="csl-entry">
Möller, H.-J., M. Riedel, M. Jäger, F. Wickelmaier, W. Maier, K.-U.
Kühn, G. Buchkremer, et al. 2008. “Short-Term Treatment with Risperidone
or Haloperidol in First-Episode Schizophrenia: 8-Week Results of a
Randomized Controlled Trial Within the German Research Network on
Schizophrenia.” *International Journal of Neuropsychopharmacology* 11
(7): 98597. <https://doi.org/10.1017/S1461145708008791>.
</div>
</div>