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Just a note

Using the textbook formula:
for all patients

> p*2 # 2-tailed P-value [1] 0.0001199535 > md # mean difference [1] 2.233333 > md+t*se # lower 95% confidence limit of mean [1] 1.323217 > md-t*se # upper 95% confidence limit of mean [1] 3.14345