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Exercise: Analysis and power simulation for baseline/follow-up
measurements
================
## Shoulder pain and acupuncture
1. Reanalyze the original data
- Re-estimate the ANCOVA model for the Kleinhenz et al. (1999)
[data](../data/kleinhenz.txt)
2. Run a power simulation for a replication study
1. Draw plausible pre-CMS values
2. Specify the minimum relevant average treatment effect (ATE)
3. Set the remaining parameters to plausible values
4. What is the sample size required for the test to detect the
effect with 80% power?
5. How robust is the power simulation when you repeat it with a new
set of pre-CMS values? Try it!
6. Recover the parameters of the ANCOVA model
### References
<div id="refs" class="references csl-bib-body hanging-indent">
<div id="ref-KleinhenzStreitberger99" class="csl-entry">
Kleinhenz, J., K. Streitberger, J. Windeler, A. Güßbacher, G. Mavridis,
and E. Martin. 1999. “Randomised Clinical Trial Comparing the Effects of
Acupuncture and a Newly Designed Placebo Needle in Rotator Cuff
Tendinitis.” *Pain* 83 (2): 23541.
</div>
</div>
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Exercise: Analysis and power simulation for baseline/follow-up
measurements
================
## MASS anorexia data
1. Analyze the original data:
- In R, see ?MASS::anorexia
- Data preparation
``` r
data(anorexia, package = "MASS")
dat <-
subset(anorexia, Treat != "Cont") |> # exclude control group
droplevels() # drop empty factor levels
lbs2kg <- 0.4535924
dat$Prewt <- lbs2kg * dat$Prewt # to kg
dat$Postwt <- lbs2kg * dat$Postwt
lattice::xyplot(Postwt ~ Prewt, dat, groups = Treat,
type = c("g", "r", "p"), auto.key = TRUE)
```
- Estimate the average treatment effect (ATE) for FT relative to CBT.
- What is the 95% CI for the ATE?
- What are the pre- and post-weight means for the two groups?
- What are the baseline-adjusted means for the two groups?
2. Run a power simulation for a replication study:
- Draw plausible pre-weights.
- Specify the minimum relevant effect.
- Set the remaining parameters to plausible values.
- What is the sample size required for the test to detect the effect
with 80% power?
- How robust is the power simulation when you repeat it with a new
set of pre-weights? Try it!
- Recover the parameters of the ANCOVA model.
3. Create a renderable R script or an R Markdown file that includes
- a header with title, author, date
- at least one section head line
- the homework questions and your answers
- the R code, output, and plots (if any)
Render the R or Rmd file to HTML.
### Reference
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