construct a research question that can be answered with a one-way ANOVA. Write a
ID: 3332737 • Letter: C
Question
construct a research question that can be answered with a one-way ANOVA.
Write a 2- to 3-paragraph analysis of your one-way ANOVA results for your research question. Include any post-hoc tests with an analysis of the strength of any relationship found (effect size).
Test of Homogeneity of Variances
Years math teacher has taught high school math
Levene Statistic
df1
df2
Sig.
2.613
3
17016
.049
ANOVA
Years math teacher has taught high school math
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
1734.510
3
578.170
8.037
.000
Within Groups
1224158.376
17016
71.942
Total
1225892.886
17019
Multiple Comparisons
Dependent Variable: Years math teacher has taught high school math
(I) T1 School locale (urbanicity)
(J) T1 School locale (urbanicity)
Mean Difference (I-J)
Std. Error
Sig.
95% Confidence Interval
Lower Bound
Upper Bound
Bonferroni
City
Suburb
.752*
.165
.000
.32
1.19
Town
.730*
.219
.005
.15
1.31
Rural
.332
.180
.394
-.14
.81
Suburb
City
-.752*
.165
.000
-1.19
-.32
Town
-.022
.212
1.000
-.58
.54
Rural
-.420
.172
.087
-.87
.03
Town
City
-.730*
.219
.005
-1.31
-.15
Suburb
.022
.212
1.000
-.54
.58
Rural
-.398
.224
.451
-.99
.19
Rural
City
-.332
.180
.394
-.81
.14
Suburb
.420
.172
.087
-.03
.87
Town
.398
.224
.451
-.19
.99
Games-Howell
City
Suburb
.752*
.165
.000
.33
1.18
Town
.730*
.215
.004
.18
1.28
Rural
.332
.182
.263
-.14
.80
Suburb
City
-.752*
.165
.000
-1.18
-.33
Town
-.022
.208
1.000
-.56
.51
Rural
-.420
.173
.073
-.87
.03
Town
City
-.730*
.215
.004
-1.28
-.18
Suburb
.022
.208
1.000
-.51
.56
Rural
-.398
.222
.276
-.97
.17
Rural
City
-.332
.182
.263
-.80
.14
Suburb
.420
.173
.073
-.03
.87
Town
.398
.222
.276
-.17
.97
*. The mean difference is significant at the 0.05 level.
Test of Homogeneity of Variances
Years math teacher has taught high school math
Levene Statistic
df1
df2
Sig.
2.613
3
17016
.049
Explanation / Answer
From Levene Statistic P-value = 0.049 which is closely equal to 0.05, so
the given data satiesfies homogeneity of variances
From ANOVA table, P-value = 0.00 < alpha 0.05, so we reject H0
Thus we conclude that there is significance difference among means of the groups
Multiple comparision:
The p-value of City and subrub is 0.0 < alpha 0.05,
So we reject H0
Thus we conclude that there is significance difference between means of city and
subrub
The p-value of City and Town is 0.005 < alpha 0.05,
So we reject H0
Thus we conclude that there is significance difference between means of city and
town
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