Paul et al. (1996) reported that 14 women were recruited to a cross-over trial comparing a breast pump with manual breast milk expression. Each women had three 15 minute sessions on each method, three sessions on the fourth and three on the fifth postnatal day. The order of application of the two methods was alternate.
They produced the following table:
|Milk expression sessions||42||42|
|Mean output per session (ml)||46.8||31.2|
|Pump vs Manual t = 3.29, P<0.01|
A two sample t test comparing two groups of 42 observations yielded t = 3.31, d.f.= 82, 2 tailed probability P = 0.0014. This is almost the same as what they report, so this appears to be what they did, given that there would be rounding errors.
1. There are at least three things wrong with this test. What are they?
Check suggested answer 1
2. What effect might each of these problems have on the t test?
Check suggested answer 2
3. What better analysis could the authors have done?
Check suggested answer 3
Paul VK, Singh M., Deorari AK, PachecoJ, Taneja U. (1996) Manual and pump methods of expression of breast milk. Indian Journal of Pediatrics 63, 87-92.
Thanks to Felicia McCormick for this example.
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