A researcher studied the flexibility of 10 women in an aerob

A researcher studied the flexibility of 10 women in an aerobic exercise class, 8 women in a modern dance class, and a control group of 10 women. One measurement she made was on the degree of spinal extension. Measurements were made before and after a 16 week training program and the difference between the two was calculated. Summary statistics for the data are given in Table 1 below. Let the significance level ? alpha = 0.1.

A) Complete the ANOVA table by filling in the missing cells. Use 2-decimal precision where appropriate. MS_treatment has been reported for you.

The null/alternative pair appropriate for this ANOVA setting is as follows:
Ho: ?₁ = ?₂ = ?₃
Ha: At least one ?_i differs

The p-value for this hypothesis test is: _____________

Solution

Let there be n observations and m treatments. Here n = 10+8+10 = 28 and m = 3.

Knowing any of the one value (SSError,SSTotal,MSError or F), the rest can be calculated.

p-value can be calculated using the FDIST function in excel {=FDIST(F,2,25)}