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1. The F -statistic is equal to MSB divided by a. MAB b. MTF c. MSB d. MSW 2. a.

ID: 3238984 • Letter: 1

Question

1. The F-statistic is equal to MSB divided by

a. MAB

b. MTF

c. MSB

d. MSW

2.

a. 4

b. 16

c. 40

d. 2

e. 8

f. 80

3. What is the null hypothesis for ANOVA?

a. In the sample, all the means are different.

b. In the population, all the means are the same.

c. In the population, all the means are different.

d. In the sample, all the means are the same.

4. If we use ANOVA to compare three groups, what is dfB?

a. 5

b. 4

c. 2

d. Answer cannot be determined from the information given

e. 3

f. 1

5. Fobs will become larger if

a. There is less variability within groups

b. There is less variability between groups

c. The sample size decreases

d. The population size decreases

For the data in the following table, what is SSW? ANOVA Summary Table LSS df MS F Source Between groups Within groups Total 44

Explanation / Answer

1) Answer of this question is option d. MSW.

2) Here, df for between groups=nB=4 & total df=nT=44

But nB+nw =nT

df for within groups=nw=nT-nB=44-4=40

Also ,MSW=2

But MSW=SSW/nw

Therefore, SSW=nw*MSW=40*2=80

Hence , answer is option f. 80

(3)Answer of this question is option b. In the population, all the means are the same.

(4)

Note that number of dfB=number of groups to be compared -1

=3-1=2

Answer of this question is option c. 2

(5) Answer of this question is option a. There is less variability within groups because it is denominator of Fobs .