Need help answering these 13 questions! Thank you! 1. For an independent-measure

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Need help answering these 13 questions! Thank you!

1. For an independent-measures experiment comparing two treatment conditions with a sample of n=10 in each treatment, the F ratio would have df equal to ___?

a. 18

b. 1 ,19

c. 1, 18

d.     19

2. The distinction between the “testwise” alpha level and the “experimentwise” alpha level is important ____?

a. when the study is comparing exactly two treatments

b. only when there are fewer than 30 scores in each treatment

c. when the study is comparing more than two treatments

d. whenever you do an analysis of variance

3. After an analysis of variance comparing three treatment means, a researcher uses a Scheffe test to evaluate the differences between treatment #1 and treatment #1 If the original ANOVA produced F (2,36) =4.36, then what are the df values for the scheffe test?

a. 1, 36

b. 2, 24

c. 2, 36

d. 1, 24

4. In general the distribution of F ratios is __________?

a. positively skewed with all values greater than or equal to zero

b. symmetrical with a mean of zero

c. symmetrical with a mean equal to dfbetween

d. negatively skewed with all values greater than or equal to zero

5. When the null hypothesis is true for an ANOVA, what is the expected value for the F ratio?

a. N-K

b. 0

1.00

k-1

6. An analysis of variance produces SSbetween =40 and SSwithin=60. Based on this information, what is the value for n^2 the percentage of variance accounted?

a. 40/100=40%

b. 60/100= 60%

c. 40/60= 67%

d. 60/40 =150%

7. The null hypothesis for an ANOVA states that _____?

a. at least one of the population means is different from the others

b. none of the other 3 choices is correct

c. all of the population means are different from each other

d. there are no differences between any of the population means

8. An analysis of variances produces SSbetween treatments =20 with dfbetween treatments= 2, and SSwithin treatments=30 with dfwithin treatments=15. For this analysis, what is the F-ratio?

a. 10/2= 5.00

b. 20/30= .67

c. 2/10= .20

d. 30/20=1.50

9. An analysis of variance produces SStotal=90 and SSwithin treatments=40. For this analysis, what is SSbetween treatments?

a. cannot be determined without additional information

b. 50

c. 3600

d. 130

10, For an F-ratio with df= 2,10, what is the critical value for a hypothesis test using a=.05?

a. 99.40

b. 19.39

c. 4.10

d. 7.56

11. A treatment effect refers to differences between scores that are caused by the different treatment conditions. The differences (or variability) produced by treatment effects will contribute to ______?

a. the denominator of the F-ratio

b. both the numerator and the denominator of the F-ratio

c. treatment effects do not contribute to the F-ratio because they are removed before the F-ratio is computed

d. the numerator of the F-ratio

12. In analysis of variance, the F-ratio is a ratio of ________?

a. sample means divided by sample variances

b. none of the other 3 choices is correct

c. two variances

d. two (or more) sample means

13. In an independent-measures experiment with three treatment conditions, all three treatments have the same mean, M1=M2=M3. For these data, what is the value for SSbetween treatments?

a. cannot be determined from the information given

b. 3(5.50)

c. 1.00

d. 0

Explanation / Answer

1.

ANS: c. 1, 18

df of factor = p-1 =2-1 = 1

df of error = (np-p) = 10*2-2 = 18

2.

ANS: d. whenever you do an analysis of variance

3..............

4

ANS: a. positively skewed with all values greater than or equal to zero

5.

ANS: Expected value of F ratio is 1 if null hypothesis is true.

Clarification:

When the null hypothesis of no group differences is true, then the expected value of the numerator and denominator of the F ratio will be equal

the expected value of the F ratio when the null hypothesis is true is also close to one

6

ANS: a. 40/100=40%

7.

ANS: d. there are no differences between any of the population means

8.

ANS: a. 10/2= 5.00

Clarification:

F = mean square error between/mean square error within

mean square error between = SS between/df between = 20/2 = 10

mean square error within = SS within/df within = 30/15 = 2

F = 10/2 = 5

9.

ANS: b. 50

Clarification:

We have , SSTotal = SSbetween + SSwithin

=>90 = SSbetween + 40

=> SSbetween = 50

10.

ANS: c. 4.10

11.

ANS: d. the numerator of the F-ratio

12.

ANS: c. two variances

13.

ANS:a. cannot be determined from the information given

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