What test and posttest would be most appropriate for a sample size of 10 assuming equal variances and normal distribution at a baseline and 3 timepoints? I need to compare each timepoint against the baseline. The parameter is body temperature.
@obh correct. My oversight in writing too quickly. This is not too far removed from getting 5 heads in a row on a fair coin.
But I would argue that it is difficult to accept such a small sample as meeting normality assumptions. The data generating process may result in an underlying normal random variable, but a small sample of it may not meet modeling or test assumptions.
Yes hlsmith , you can't really determine if the data is normally distributed with a small sample. but T test is robust to the normality assumption if the data is reasonably symmetric. Is 10 too small even if data is reasonably symmetric. ? (you may argue what is reasonably symmetric ...)