Question

# Answer the one-way ANOVA questions using the data below. Use α = 0.01. 1 2 3...

Answer the one-way ANOVA questions using the data below. Use α = 0.01.

 1 2 3 4 53 49 47 45 51 34 44 44 25 36 34 39 30 12 46 42 49 37 36 34 47 25 37 30 27 33 28 31

a. Compute the preliminary statistics below.

SSBG = ________ ;   dfBG = _________

SSWG = ________ ;   dfWG = ________

SST = ___________ ; dfT = _________

b. Compute the appropriate test statistic(s) to make a decision about H0.

critical value = ____________ ; test statistic = ____________

Decision:

c. Compute the corresponding effect size(s) and indicate magnitude(s).

η2 = __________; ---Select---na, trivial effect, small effect, medium effect, large effect

d. Make an interpretation based on the results.

-At least one mean is different from another

-None of the means differed from one another.

e. Regardless of the H0 decision in b), conduct Tukey's post hoc test for the following comparisons:

1 vs. 3: difference = __________ ; significant: YES OR NO

1 vs. 4: difference = __________ ; significant: YES OR NO

f. Regardless of the H0 decision in b), conduct Scheffe's post hoc test for the following comparisons:

1 vs. 3: test statistic = ___________ ; significant: ---Select---YesNo
3 vs. 4: test statistic = ____________; significant: ---Select---YesNo

a. Compute the preliminary statistics below.

SSBG = 1,274.964 ;   dfBG = 3

SSWG = 1,207.143 ;   dfWG = 24

SST = 2,482.107 ; dfT = 27

b. Compute the appropriate test statistic(s) to make a decision about H0.

critical value = 4.718 ; test statistic = 8.449

Decision: Reject Ho

c. Compute the corresponding effect size(s) and indicate magnitude(s).

η2 = 0.514; -medium effect

d. Make an interpretation based on the results.

-At least one mean is different from another

e. Regardless of the H0 decision in b), conduct Tukey's post hoc test for the following comparisons:

1 vs. 3: difference = 4.571 ; significant: NO

1 vs. 4: difference = 16 ; significant: YES

f. Regardless of the H0 decision in b), conduct Scheffe's post hoc test for the following comparisons:

1 vs. 3: test statistic = 4.571 ; significant: No
3 vs. 4: test statistic = 16; significant: Yes

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