10. Suppose we are comparing three populations (CRD), and have taken a sample of

Question

10. Suppose we are comparing three populations (CRD), and have taken a sample of size 9 from each population to determine whether the population means differed. Suppose it turned out that the analysis of variance was found to be significant at = .05 (i.e., was rejected). Next suppose that we take each of the data values in the sample where the sample mean was the highest, and add ten units to each of these data values. State whether this would increase, decrease, or leave unaffected the following (or is there not enough information given?), and why:

a.SSTR

b.SSE

c.SST

d.df1

e.df2

f.MSTR

g.MSE

h.F

i.pvalues

j.Would it change your conclusion? If so, why?

Explanation / Answer

ANSWER:

a.SSTR: Remains same ( no change)

b.SSE: Remains same ( no change)

c.SST: Remains same ( no change)

d.df1: Remains same ( no change)

e.df2: Remains same ( no change)

f.MSTR Remains same ( no change)

g.MSE: Remains same ( no change)

h.F: Remains same ( no change)

i.pvalues Remains same ( no change)

j.Would it change your conclusion? : NO

REASON: Here all sum of squares are variance oriented. Variance is independent of change of origin.

So there is no change in all the above mentioned

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