Anova Lab
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Question 1: X1=Charter Schools and Public Schools X2 Elementary School, Middle School, High School X3=Stress test Scores Question 2: Research Hypothesis: There is a difference between stress test scores based on school type and school level. Statistical Hypothesis: Statistics X1 N
Valid
X2
X3
1100
1100
1100
0
0
0
Missing
X1 Cumulative Frequency Valid
Percent
Valid Percent
Percent
0
469
42.6
42.6
42.6
1
631
57.4
57.4
100.0
1100
100.0
100.0
Total
X2 Cumulative Frequency Valid
Percent
Valid Percent
Percent
1
415
37.7
37.7
37.7
2
322
29.3
29.3
67.0
3
363
33.0
33.0
100.0
1100
100.0
100.0
Total
Oneway
ANOVA stress test scores Sum of Squares Between Groups
df
Mean Square
137047.487
1
137047.487
Within Groups
5198902.131
1098
4734.884
Total
5335949.618
1099
F 28.944
Sig. .000
Between-Subjects Factors Value Label school type
school level
N
0
charter
469
1
public
631
1
elementary
415
2
middle
322
3
high
363
Tests of Between-Subjects Effects Dependent Variable:stress test scores Type III Sum of Source Corrected Model
Squares
df
Mean Square
F
Sig.
807011.596a
5
161402.319
38.988
.000
5.722E7
1
5.722E7
13820.897
.000
4967.445
1
4967.445
1.200
.274
478650.545
2
239325.272
57.811
.000
35921.088
2
17960.544
4.339
.013
Error
4528938.022
1094
4139.797
Total
8.006E7
1100
5335949.618
1099
Intercept sctype sclvl sctype * sclvl
Corrected Total
a. R Squared = .151 (Adjusted R Squared = .147)
Profile Plots
Estimated Marginal Means
1. school type Dependent Variable:stress test scores 95% Confidence Interval school type
Mean
Std. Error
Lower Bound
Upper Bound
charter
256.518
3.497
249.655
263.380
public
261.343
2.678
256.089
266.598
2. school level Dependent Variable:stress test scores 95% Confidence Interval school level
Mean
Std. Error
Lower Bound
Upper Bound
elementary
235.954
3.318
229.445
242.464
middle
246.889
3.641
239.745
254.033
high
293.949
4.404
285.307
302.590
Univariate Analysis of Variance
[DataSet1] C:\Documents and Settings\alehrlin\Local Settings\Temp\Temporary Internet Files\Content.IE5\4SHUXV2A\lab4data[1].sav
Between-Subjects Factors Value Label school type
school level
N
0
charter
469
1
public
631
1
elementary
415
2
middle
322
3
high
363
Tests of Between-Subjects Effects Dependent Variable:stress test scores Type III Sum of Source Corrected Model
Squares
df
Mean Square
F
Sig.
807011.596a
5
161402.319
38.988
.000
5.722E7
1
5.722E7
13820.897
.000
4967.445
1
4967.445
1.200
.274
478650.545
2
239325.272
57.811
.000
35921.088
2
17960.544
4.339
.013
Error
4528938.022
1094
4139.797
Total
8.006E7
1100
5335949.618
1099
Intercept sctype sclvl sctype * sclvl
Corrected Total
a. R Squared = .151 (Adjusted R Squared = .147)
Profile Plots
Estimated Marginal Means
school type * school level Dependent Variable:stress test scores 95% Confidence Interval school Std. Error
Upper Bound
school level
charter
elementary
241.985
3.908
234.316
249.654
middle
239.692
5.579
228.745
250.639
high
287.877
7.981
272.218
303.536
elementary
229.924
5.362
219.403
240.444
middle
254.086
4.680
244.903
263.269
high
300.020
3.727
292.707
307.333
public
Mean
Lower Bound
type
Univariate Analysis of Variance
[DataSet1] C:\Documents and Settings\alehrlin\Local Settings\Temp\Temporary Internet Files\Content.IE5\4SHUXV2A\lab4data[1].sav
Between-Subjects Factors Value Label school type
school level
N
0
charter
469
1
public
631
1
elementary
415
2
middle
322
3
high
363
Tests of Between-Subjects Effects Dependent Variable:stress test scores Type III Sum of Source Corrected Model
Squares
df
Mean Square
F
Sig.
807011.596a
5
161402.319
38.988
.000
5.722E7
1
5.722E7
13820.897
.000
4967.445
1
4967.445
1.200
.274
478650.545
2
239325.272
57.811
.000
35921.088
2
17960.544
4.339
.013
Error
4528938.022
1094
4139.797
Total
8.006E7
1100
5335949.618
1099
Intercept sctype sclvl sctype * sclvl
Corrected Total
a. R Squared = .151 (Adjusted R Squared = .147)
Profile Plots
Univariate Analysis of Variance
[DataSet1] C:\Documents and Settings\alehrlin\Local Settings\Temp\Temporary Internet Files\Content.IE5\4SHUXV2A\lab4data[1].sav
Between-Subjects Factors Value Label school type
school level
N
0
charter
469
1
public
631
1
elementary
415
2
middle
322
3
high
363
Tests of Between-Subjects Effects Dependent Variable:stress test scores Type III Sum of Source Corrected Model
Squares
df
Mean Square
F
Sig.
807011.596a
5
161402.319
38.988
.000
5.722E7
1
5.722E7
13820.897
.000
4967.445
1
4967.445
1.200
.274
478650.545
2
239325.272
57.811
.000
35921.088
2
17960.544
4.339
.013
Error
4528938.022
1094
4139.797
Total
8.006E7
1100
5335949.618
1099
Intercept sctype sclvl sctype * sclvl
Corrected Total
a. R Squared = .151 (Adjusted R Squared = .147)
Profile Plots
Univariate Analysis of Variance
[DataSet1] C:\Documents and Settings\alehrlin\Local Settings\Temp\Temporary Internet Files\Content.IE5\4SHUXV2A\lab4data[1].sav
Between-Subjects Factors Value Label school type
school level
N
0
charter
469
1
public
631
1
elementary
415
2
middle
322
3
high
363
Oneway
[DataSet1] C:\Documents and Settings\alehrlin\Local Settings\Temp\Temporary Internet Files\Content.IE5\4SHUXV2A\lab4data[1].sav
Descriptives stress test scores 95% Confidence Interval for Mean N
Mean
Std. Deviation
Std. Error
Lower Bound
Upper Bound
Minimum
Maximum
elementary
415
237.80
76.787
3.769
230.39
245.21
72
520
middle
322
248.14
55.534
3.095
242.05
254.23
125
655
high
363
297.85
56.010
2.940
292.06
303.63
84
440
Total
1100
260.64
69.680
2.101
256.52
264.76
72
655
ANOVA stress test scores Sum of Squares Between Groups
df
Mean Square
769288.153
2
384644.077
Within Groups
4566661.464
1097
4162.864
Total
5335949.618
1099
Post Hoc Tests
F 92.399
Sig. .000
Multiple Comparisons stress test scores Tukey HSD 95% Confidence Interval (I) school
(J) school
level
level
elementary
middle
-10.341
4.792
.079
-21.59
.90
high
-60.046*
4.637
.000
-70.93
-49.16
10.341
4.792
.079
-.90
21.59
-49.705*
4.939
.000
-61.30
-38.11
elementary
60.046*
4.637
.000
49.16
70.93
middle
49.705*
4.939
.000
38.11
61.30
middle
Mean Difference (I-J)
elementary high
high
Std. Error
*. The mean difference is significant at the 0.05 level.
Homogeneous Subsets
stress test scores Tukey HSD Subset for alpha = 0.05 school level
1
N
2
elementary
415
237.80
middle
322
248.14
high
363
Sig.
297.85 .079
Means for groups in homogeneous subsets are displayed.
Graph
1.000
Sig.
Lower Bound
Upper Bound
Valid
X2
X3
1100
1100
1100
0
0
0
Missing
X1 Cumulative Frequency Valid
Percent
Valid Percent
Percent
0
469
42.6
42.6
42.6
1
631
57.4
57.4
100.0
1100
100.0
100.0
Total
X2 Cumulative Frequency Valid
Percent
Valid Percent
Percent
1
415
37.7
37.7
37.7
2
322
29.3
29.3
67.0
3
363
33.0
33.0
100.0
1100
100.0
100.0
Total
Oneway
ANOVA stress test scores Sum of Squares Between Groups
df
Mean Square
137047.487
1
137047.487
Within Groups
5198902.131
1098
4734.884
Total
5335949.618
1099
F 28.944
Sig. .000
Between-Subjects Factors Value Label school type
school level
N
0
charter
469
1
public
631
1
elementary
415
2
middle
322
3
high
363
Tests of Between-Subjects Effects Dependent Variable:stress test scores Type III Sum of Source Corrected Model
Squares
df
Mean Square
F
Sig.
807011.596a
5
161402.319
38.988
.000
5.722E7
1
5.722E7
13820.897
.000
4967.445
1
4967.445
1.200
.274
478650.545
2
239325.272
57.811
.000
35921.088
2
17960.544
4.339
.013
Error
4528938.022
1094
4139.797
Total
8.006E7
1100
5335949.618
1099
Intercept sctype sclvl sctype * sclvl
Corrected Total
a. R Squared = .151 (Adjusted R Squared = .147)
Profile Plots
Estimated Marginal Means
1. school type Dependent Variable:stress test scores 95% Confidence Interval school type
Mean
Std. Error
Lower Bound
Upper Bound
charter
256.518
3.497
249.655
263.380
public
261.343
2.678
256.089
266.598
2. school level Dependent Variable:stress test scores 95% Confidence Interval school level
Mean
Std. Error
Lower Bound
Upper Bound
elementary
235.954
3.318
229.445
242.464
middle
246.889
3.641
239.745
254.033
high
293.949
4.404
285.307
302.590
Univariate Analysis of Variance
[DataSet1] C:\Documents and Settings\alehrlin\Local Settings\Temp\Temporary Internet Files\Content.IE5\4SHUXV2A\lab4data[1].sav
Between-Subjects Factors Value Label school type
school level
N
0
charter
469
1
public
631
1
elementary
415
2
middle
322
3
high
363
Tests of Between-Subjects Effects Dependent Variable:stress test scores Type III Sum of Source Corrected Model
Squares
df
Mean Square
F
Sig.
807011.596a
5
161402.319
38.988
.000
5.722E7
1
5.722E7
13820.897
.000
4967.445
1
4967.445
1.200
.274
478650.545
2
239325.272
57.811
.000
35921.088
2
17960.544
4.339
.013
Error
4528938.022
1094
4139.797
Total
8.006E7
1100
5335949.618
1099
Intercept sctype sclvl sctype * sclvl
Corrected Total
a. R Squared = .151 (Adjusted R Squared = .147)
Profile Plots
Estimated Marginal Means
school type * school level Dependent Variable:stress test scores 95% Confidence Interval school Std. Error
Upper Bound
school level
charter
elementary
241.985
3.908
234.316
249.654
middle
239.692
5.579
228.745
250.639
high
287.877
7.981
272.218
303.536
elementary
229.924
5.362
219.403
240.444
middle
254.086
4.680
244.903
263.269
high
300.020
3.727
292.707
307.333
public
Mean
Lower Bound
type
Univariate Analysis of Variance
[DataSet1] C:\Documents and Settings\alehrlin\Local Settings\Temp\Temporary Internet Files\Content.IE5\4SHUXV2A\lab4data[1].sav
Between-Subjects Factors Value Label school type
school level
N
0
charter
469
1
public
631
1
elementary
415
2
middle
322
3
high
363
Tests of Between-Subjects Effects Dependent Variable:stress test scores Type III Sum of Source Corrected Model
Squares
df
Mean Square
F
Sig.
807011.596a
5
161402.319
38.988
.000
5.722E7
1
5.722E7
13820.897
.000
4967.445
1
4967.445
1.200
.274
478650.545
2
239325.272
57.811
.000
35921.088
2
17960.544
4.339
.013
Error
4528938.022
1094
4139.797
Total
8.006E7
1100
5335949.618
1099
Intercept sctype sclvl sctype * sclvl
Corrected Total
a. R Squared = .151 (Adjusted R Squared = .147)
Profile Plots
Univariate Analysis of Variance
[DataSet1] C:\Documents and Settings\alehrlin\Local Settings\Temp\Temporary Internet Files\Content.IE5\4SHUXV2A\lab4data[1].sav
Between-Subjects Factors Value Label school type
school level
N
0
charter
469
1
public
631
1
elementary
415
2
middle
322
3
high
363
Tests of Between-Subjects Effects Dependent Variable:stress test scores Type III Sum of Source Corrected Model
Squares
df
Mean Square
F
Sig.
807011.596a
5
161402.319
38.988
.000
5.722E7
1
5.722E7
13820.897
.000
4967.445
1
4967.445
1.200
.274
478650.545
2
239325.272
57.811
.000
35921.088
2
17960.544
4.339
.013
Error
4528938.022
1094
4139.797
Total
8.006E7
1100
5335949.618
1099
Intercept sctype sclvl sctype * sclvl
Corrected Total
a. R Squared = .151 (Adjusted R Squared = .147)
Profile Plots
Univariate Analysis of Variance
[DataSet1] C:\Documents and Settings\alehrlin\Local Settings\Temp\Temporary Internet Files\Content.IE5\4SHUXV2A\lab4data[1].sav
Between-Subjects Factors Value Label school type
school level
N
0
charter
469
1
public
631
1
elementary
415
2
middle
322
3
high
363
Oneway
[DataSet1] C:\Documents and Settings\alehrlin\Local Settings\Temp\Temporary Internet Files\Content.IE5\4SHUXV2A\lab4data[1].sav
Descriptives stress test scores 95% Confidence Interval for Mean N
Mean
Std. Deviation
Std. Error
Lower Bound
Upper Bound
Minimum
Maximum
elementary
415
237.80
76.787
3.769
230.39
245.21
72
520
middle
322
248.14
55.534
3.095
242.05
254.23
125
655
high
363
297.85
56.010
2.940
292.06
303.63
84
440
Total
1100
260.64
69.680
2.101
256.52
264.76
72
655
ANOVA stress test scores Sum of Squares Between Groups
df
Mean Square
769288.153
2
384644.077
Within Groups
4566661.464
1097
4162.864
Total
5335949.618
1099
Post Hoc Tests
F 92.399
Sig. .000
Multiple Comparisons stress test scores Tukey HSD 95% Confidence Interval (I) school
(J) school
level
level
elementary
middle
-10.341
4.792
.079
-21.59
.90
high
-60.046*
4.637
.000
-70.93
-49.16
10.341
4.792
.079
-.90
21.59
-49.705*
4.939
.000
-61.30
-38.11
elementary
60.046*
4.637
.000
49.16
70.93
middle
49.705*
4.939
.000
38.11
61.30
middle
Mean Difference (I-J)
elementary high
high
Std. Error
*. The mean difference is significant at the 0.05 level.
Homogeneous Subsets
stress test scores Tukey HSD Subset for alpha = 0.05 school level
1
N
2
elementary
415
237.80
middle
322
248.14
high
363
Sig.
297.85 .079
Means for groups in homogeneous subsets are displayed.
Graph
1.000
Sig.
Lower Bound
Upper Bound
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