Question
Answer the one-way ANOVA questions using the data below. Use α = 0.05. 1 2 3...
Answer the one-way ANOVA questions using the data below. Use α =
0.05.
| 1 | 2 | 3 | 4 |
|---|---|---|---|
| 53 49 47 42 51 34 35 |
21 39 36 34 39 30 12 |
46 23 39 37 36 34 47 |
25 35 30 23 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 = ; is the effect trivial,
small, medium, large
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) Conduct Tukey's Post Hoc Test for the following
comparisons:
2 vs. 3: difference = ; significant:
2 vs. 4: difference = ; significant:
f) Conduct Scheffe's Post Hoc Test for the
following comparisons:
2 vs. 3: test statistic = ;
significant:
2 vs. 4: test statistic = ; significant:
Homework Answers
Answer #1
A)Statistics
SSBG =1054.393 ; dfBG = 3
SSWG = 1465.714;dfWG = 24
SST =2520.107 ;dfT=27
B)Critical value : F(3,24,.05)= 3.0088
Test Statistic : F= 5.755
Decision : Reject H0
C)Effect size
= 1054.393 / 2520.107 = .4184
Magnitude : Medium effect
D)The interpretation is atleast one of the mean is different from.the others
E)Tukey test
2 vs 3 , difference = 7.2857; significance :Not significant
2 vs 4 , difference = .8571; significance :Not significant
F)Scheffe Test
2 vs 3, difference = 7.2857; significance : Not Significant
2 vs 4 difference = .8571; significance :not significant
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