On average what value is expected for the Fratio if the null

On average, what value is expected for the F-ratio if the null hypothesis is false?

a.

0

b.

1.00

c.

Between 0 and 1.00

d.

Much greater than 1.00

A researcher uses analysis of variance to test for mean differences among three treatments with a sample of n = 12 in each treatment. The F-ratio for this analysis would have what df values?

a.

df = 2, 11

b.

df = 2, 33

c.

df = 2, 35

d.

df = 2, 36

The following table shows the results of an analysis of variance comparing four treatment conditions with a sample of n = 5 participants in each treatment. Note that several values are missing in the table. What is the missing value for MS_within?

a.

2 Source SS df MS

b.

16 Between 30 xx xx F = xx

c.

32 Within xx xx xx

d.

48 Total 62 xx

Solution

1.

If the null hypothesis is false, the F-ratio must be big.

Thus, OPTION D: Much greater than 1.00

2.

Note that

df1 = a - 1 = 3 - 1 = 2
df2 = b - 1 = 12 - 1 = 11

where a = number of groups
b = number of participants on each group

Hence, option A.

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Also, the table is missing on the third question.