On average, what value is expected for the F-ratio if the null hypothesis is fal
ID: 3437649 • Letter: O
Question
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 MSwithin?
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
a.
0
b.
1.00
c.
Between 0 and 1.00
d.
Much greater than 1.00
Explanation / Answer
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.
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