ANOVA Application and Interpretation
|
Case Processing Summary |
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|
|
final |
Cases |
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|
|
|
Valid |
Missing |
Total |
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|
|
|
N |
Percent |
N |
Percent |
N |
Percent |
|
quiz3 |
48 |
1 |
100.0% |
0 |
0.0% |
1 |
100.0% |
|
|
49 |
1 |
100.0% |
0 |
0.0% |
1 |
100.0% |
|
|
50 |
2 |
100.0% |
0 |
0.0% |
2 |
100.0% |
|
|
52 |
4 |
100.0% |
0 |
0.0% |
4 |
100.0% |
|
|
53 |
5 |
100.0% |
0 |
0.0% |
5 |
100.0% |
|
|
54 |
2 |
100.0% |
0 |
0.0% |
2 |
100.0% |
|
|
55 |
5 |
100.0% |
0 |
0.0% |
5 |
100.0% |
|
|
56 |
1 |
100.0% |
0 |
0.0% |
1 |
100.0% |
|
|
57 |
6 |
100.0% |
0 |
0.0% |
6 |
100.0% |
|
|
58 |
5 |
100.0% |
0 |
0.0% |
5 |
100.0% |
|
|
59 |
4 |
100.0% |
0 |
0.0% |
4 |
100.0% |
|
|
60 |
7 |
100.0% |
0 |
0.0% |
7 |
100.0% |
|
|
61 |
5 |
100.0% |
0 |
0.0% |
5 |
100.0% |
|
|
62 |
8 |
100.0% |
0 |
0.0% |
8 |
100.0% |
|
|
63 |
7 |
100.0% |
0 |
0.0% |
7 |
100.0% |
|
|
64 |
3 |
100.0% |
0 |
0.0% |
3 |
100.0% |
|
|
65 |
3 |
100.0% |
0 |
0.0% |
3 |
100.0% |
|
|
66 |
4 |
100.0% |
0 |
0.0% |
4 |
100.0% |
|
|
67 |
3 |
100.0% |
0 |
0.0% |
3 |
100.0% |
|
|
68 |
8 |
100.0% |
0 |
0.0% |
8 |
100.0% |
|
|
69 |
2 |
100.0% |
0 |
0.0% |
2 |
100.0% |
|
|
70 |
3 |
100.0% |
0 |
0.0% |
3 |
100.0% |
|
|
71 |
4 |
100.0% |
0 |
0.0% |
4 |
100.0% |
|
|
72 |
3 |
100.0% |
0 |
0.0% |
3 |
100.0% |
|
|
73 |
3 |
100.0% |
0 |
0.0% |
3 |
100.0% |
|
|
74 |
4 |
100.0% |
0 |
0.0% |
4 |
100.0% |
|
|
75 |
2 |
100.0% |
0 |
0.0% |
2 |
100.0% |
|
Descriptivesa,b,c |
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|
|
final |
Statistic |
Std. Error |
||
|
quiz3 |
50 |
Mean |
7.00 |
1.000 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
-5.71 |
|
|
|
|
|
Upper Bound |
19.71 |
|
|
|
|
5% Trimmed Mean |
. |
|
|
|
|
|
Median |
7.00 |
|
|
|
|
|
Variance |
2.000 |
|
|
|
|
|
Std. Deviation |
1.414 |
|
|
|
|
|
Minimum |
6 |
|
|
|
|
|
Maximum |
8 |
|
|
|
|
|
Range |
2 |
|
|
|
|
|
Interquartile Range |
. |
|
|
|
|
|
Skewness |
. |
. |
|
|
|
|
Kurtosis |
. |
. |
|
|
|
52 |
Mean |
8.50 |
.645 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
6.45 |
|
|
|
|
|
Upper Bound |
10.55 |
|
|
|
|
5% Trimmed Mean |
8.50 |
|
|
|
|
|
Median |
8.50 |
|
|
|
|
|
Variance |
1.667 |
|
|
|
|
|
Std. Deviation |
1.291 |
|
|
|
|
|
Minimum |
7 |
|
|
|
|
|
Maximum |
10 |
|
|
|
|
|
Range |
3 |
|
|
|
|
|
Interquartile Range |
3 |
|
|
|
|
|
Skewness |
.000 |
1.014 |
|
|
|
|
Kurtosis |
-1.200 |
2.619 |
|
|
|
53 |
Mean |
8.60 |
.678 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
6.72 |
|
|
|
|
|
Upper Bound |
10.48 |
|
|
|
|
5% Trimmed Mean |
8.61 |
|
|
|
|
|
Median |
9.00 |
|
|
|
|
|
Variance |
2.300 |
|
|
|
|
|
Std. Deviation |
1.517 |
|
|
|
|
|
Minimum |
7 |
|
|
|
|
|
Maximum |
10 |
|
|
|
|
|
Range |
3 |
|
|
|
|
|
Interquartile Range |
3 |
|
|
|
|
|
Skewness |
-.315 |
.913 |
|
|
|
|
Kurtosis |
-3.081 |
2.000 |
|
|
|
54 |
Mean |
6.50 |
.500 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
.15 |
|
|
|
|
|
Upper Bound |
12.85 |
|
|
|
|
5% Trimmed Mean |
. |
|
|
|
|
|
Median |
6.50 |
|
|
|
|
|
Variance |
.500 |
|
|
|
|
|
Std. Deviation |
.707 |
|
|
|
|
|
Minimum |
6 |
|
|
|
|
|
Maximum |
7 |
|
|
|
|
|
Range |
1 |
|
|
|
|
|
Interquartile Range |
. |
|
|
|
|
|
Skewness |
. |
. |
|
|
|
|
Kurtosis |
. |
. |
|
|
|
55 |
Mean |
6.60 |
.927 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
4.03 |
|
|
|
|
|
Upper Bound |
9.17 |
|
|
|
|
5% Trimmed Mean |
6.50 |
|
|
|
|
|
Median |
6.00 |
|
|
|
|
|
Variance |
4.300 |
|
|
|
|
|
Std. Deviation |
2.074 |
|
|
|
|
|
Minimum |
5 |
|
|
|
|
|
Maximum |
10 |
|
|
|
|
|
Range |
5 |
|
|
|
|
|
Interquartile Range |
4 |
|
|
|
|
|
Skewness |
1.447 |
.913 |
|
|
|
|
Kurtosis |
1.931 |
2.000 |
|
|
|
57 |
Mean |
6.67 |
.422 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
5.58 |
|
|
|
|
|
Upper Bound |
7.75 |
|
|
|
|
5% Trimmed Mean |
6.69 |
|
|
|
|
|
Median |
7.00 |
|
|
|
|
|
Variance |
1.067 |
|
|
|
|
|
Std. Deviation |
1.033 |
|
|
|
|
|
Minimum |
5 |
|
|
|
|
|
Maximum |
8 |
|
|
|
|
|
Range |
3 |
|
|
|
|
|
Interquartile Range |
2 |
|
|
|
|
|
Skewness |
-.666 |
.845 |
|
|
|
|
Kurtosis |
.586 |
1.741 |
|
|
|
58 |
Mean |
7.20 |
.583 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
5.58 |
|
|
|
|
|
Upper Bound |
8.82 |
|
|
|
|
5% Trimmed Mean |
7.17 |
|
|
|
|
|
Median |
7.00 |
|
|
|
|
|
Variance |
1.700 |
|
|
|
|
|
Std. Deviation |
1.304 |
|
|
|
|
|
Minimum |
6 |
|
|
|
|
|
Maximum |
9 |
|
|
|
|
|
Range |
3 |
|
|
|
|
|
Interquartile Range |
3 |
|
|
|
|
|
Skewness |
.541 |
.913 |
|
|
|
|
Kurtosis |
-1.488 |
2.000 |
|
|
|
59 |
Mean |
6.75 |
.750 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
4.36 |
|
|
|
|
|
Upper Bound |
9.14 |
|
|
|
|
5% Trimmed Mean |
6.78 |
|
|
|
|
|
Median |
7.00 |
|
|
|
|
|
Variance |
2.250 |
|
|
|
|
|
Std. Deviation |
1.500 |
|
|
|
|
|
Minimum |
5 |
|
|
|
|
|
Maximum |
8 |
|
|
|
|
|
Range |
3 |
|
|
|
|
|
Interquartile Range |
3 |
|
|
|
|
|
Skewness |
-.370 |
1.014 |
|
|
|
|
Kurtosis |
-3.901 |
2.619 |
|
|
|
60 |
Mean |
6.86 |
.340 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
6.03 |
|
|
|
|
|
Upper Bound |
7.69 |
|
|
|
|
5% Trimmed Mean |
6.90 |
|
|
|
|
|
Median |
7.00 |
|
|
|
|
|
Variance |
.810 |
|
|
|
|
|
Std. Deviation |
.900 |
|
|
|
|
|
Minimum |
5 |
|
|
|
|
|
Maximum |
8 |
|
|
|
|
|
Range |
3 |
|
|
|
|
|
Interquartile Range |
0 |
|
|
|
|
|
Skewness |
-1.569 |
.794 |
|
|
|
|
Kurtosis |
4.287 |
1.587 |
|
|
|
61 |
Mean |
7.00 |
.548 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
5.48 |
|
|
|
|
|
Upper Bound |
8.52 |
|
|
|
|
5% Trimmed Mean |
7.06 |
|
|
|
|
|
Median |
7.00 |
|
|
|
|
|
Variance |
1.500 |
|
|
|
|
|
Std. Deviation |
1.225 |
|
|
|
|
|
Minimum |
5 |
|
|
|
|
|
Maximum |
8 |
|
|
|
|
|
Range |
3 |
|
|
|
|
|
Interquartile Range |
2 |
|
|
|
|
|
Skewness |
-1.361 |
.913 |
|
|
|
|
Kurtosis |
2.000 |
2.000 |
|
|
|
62 |
Mean |
7.13 |
.479 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
5.99 |
|
|
|
|
|
Upper Bound |
8.26 |
|
|
|
|
5% Trimmed Mean |
7.03 |
|
|
|
|
|
Median |
7.00 |
|
|
|
|
|
Variance |
1.839 |
|
|
|
|
|
Std. Deviation |
1.356 |
|
|
|
|
|
Minimum |
6 |
|
|
|
|
|
Maximum |
10 |
|
|
|
|
|
Range |
4 |
|
|
|
|
|
Interquartile Range |
2 |
|
|
|
|
|
Skewness |
1.539 |
.752 |
|
|
|
|
Kurtosis |
2.571 |
1.481 |
|
|
|
63 |
Mean |
6.86 |
.738 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
5.05 |
|
|
|
|
|
Upper Bound |
8.66 |
|
|
|
|
5% Trimmed Mean |
6.90 |
|
|
|
|
|
Median |
7.00 |
|
|
|
|
|
Variance |
3.810 |
|
|
|
|
|
Std. Deviation |
1.952 |
|
|
|
|
|
Minimum |
4 |
|
|
|
|
|
Maximum |
9 |
|
|
|
|
|
Range |
5 |
|
|
|
|
|
Interquartile Range |
4 |
|
|
|
|
|
Skewness |
-.288 |
.794 |
|
|
|
|
Kurtosis |
-1.446 |
1.587 |
|
|
|
64 |
Mean |
6.00 |
.000 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
6.00 |
|
|
|
|
|
Upper Bound |
6.00 |
|
|
|
|
5% Trimmed Mean |
6.00 |
|
|
|
|
|
Median |
6.00 |
|
|
|
|
|
Variance |
.000 |
|
|
|
|
|
Std. Deviation |
.000 |
|
|
|
|
|
Minimum |
6 |
|
|
|
|
|
Maximum |
6 |
|
|
|
|
|
Range |
0 |
|
|
|
|
|
Interquartile Range |
0 |
|
|
|
|
|
Skewness |
. |
. |
|
|
|
|
Kurtosis |
. |
. |
|
|
|
65 |
Mean |
6.67 |
.882 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
2.87 |
|
|
|
|
|
Upper Bound |
10.46 |
|
|
|
|
5% Trimmed Mean |
. |
|
|
|
|
|
Median |
7.00 |
|
|
|
|
|
Variance |
2.333 |
|
|
|
|
|
Std. Deviation |
1.528 |
|
|
|
|
|
Minimum |
5 |
|
|
|
|
|
Maximum |
8 |
|
|
|
|
|
Range |
3 |
|
|
|
|
|
Interquartile Range |
. |
|
|
|
|
|
Skewness |
-.935 |
1.225 |
|
|
|
|
Kurtosis |
. |
. |
|
|
|
66 |
Mean |
7.25 |
.479 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
5.73 |
|
|
|
|
|
Upper Bound |
8.77 |
|
|
|
|
5% Trimmed Mean |
7.28 |
|
|
|
|
|
Median |
7.50 |
|
|
|
|
|
Variance |
.917 |
|
|
|
|
|
Std. Deviation |
.957 |
|
|
|
|
|
Minimum |
6 |
|
|
|
|
|
Maximum |
8 |
|
|
|
|
|
Range |
2 |
|
|
|
|
|
Interquartile Range |
2 |
|
|
|
|
|
Skewness |
-.855 |
1.014 |
|
|
|
|
Kurtosis |
-1.289 |
2.619 |
|
|
|
67 |
Mean |
8.00 |
1.155 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
3.03 |
|
|
|
|
|
Upper Bound |
12.97 |
|
|
|
|
5% Trimmed Mean |
. |
|
|
|
|
|
Median |
8.00 |
|
|
|
|
|
Variance |
4.000 |
|
|
|
|
|
Std. Deviation |
2.000 |
|
|
|
|
|
Minimum |
6 |
|
|
|
|
|
Maximum |
10 |
|
|
|
|
|
Range |
4 |
|
|
|
|
|
Interquartile Range |
. |
|
|
|
|
|
Skewness |
.000 |
1.225 |
|
|
|
|
Kurtosis |
. |
. |
|
|
|
68 |
Mean |
7.25 |
.726 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
5.53 |
|
|
|
|
|
Upper Bound |
8.97 |
|
|
|
|
5% Trimmed Mean |
7.28 |
|
|
|
|
|
Median |
8.00 |
|
|
|
|
|
Variance |
4.214 |
|
|
|
|
|
Std. Deviation |
2.053 |
|
|
|
|
|
Minimum |
4 |
|
|
|
|
|
Maximum |
10 |
|
|
|
|
|
Range |
6 |
|
|
|
|
|
Interquartile Range |
4 |
|
|
|
|
|
Skewness |
-.446 |
.752 |
|
|
|
|
Kurtosis |
-.901 |
1.481 |
|
|
|
69 |
Mean |
8.00 |
1.000 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
-4.71 |
|
|
|
|
|
Upper Bound |
20.71 |
|
|
|
|
5% Trimmed Mean |
. |
|
|
|
|
|
Median |
8.00 |
|
|
|
|
|
Variance |
2.000 |
|
|
|
|
|
Std. Deviation |
1.414 |
|
|
|
|
|
Minimum |
7 |
|
|
|
|
|
Maximum |
9 |
|
|
|
|
|
Range |
2 |
|
|
|
|
|
Interquartile Range |
. |
|
|
|
|
|
Skewness |
. |
. |
|
|
|
|
Kurtosis |
. |
. |
|
|
|
70 |
Mean |
6.33 |
1.202 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
1.16 |
|
|
|
|
|
Upper Bound |
11.50 |
|
|
|
|
5% Trimmed Mean |
. |
|
|
|
|
|
Median |
7.00 |
|
|
|
|
|
Variance |
4.333 |
|
|
|
|
|
Std. Deviation |
2.082 |
|
|
|
|
|
Minimum |
4 |
|
|
|
|
|
Maximum |
8 |
|
|
|
|
|
Range |
4 |
|
|
|
|
|
Interquartile Range |
. |
|
|
|
|
|
Skewness |
-1.293 |
1.225 |
|
|
|
|
Kurtosis |
. |
. |
|
|
|
71 |
Mean |
7.75 |
.854 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
5.03 |
|
|
|
|
|
Upper Bound |
10.47 |
|
|
|
|
5% Trimmed Mean |
7.72 |
|
|
|
|
|
Median |
7.50 |
|
|
|
|
|
Variance |
2.917 |
|
|
|
|
|
Std. Deviation |
1.708 |
|
|
|
|
|
Minimum |
6 |
|
|
|
|
|
Maximum |
10 |
|
|
|
|
|
Range |
4 |
|
|
|
|
|
Interquartile Range |
3 |
|
|
|
|
|
Skewness |
.753 |
1.014 |
|
|
|
|
Kurtosis |
.343 |
2.619 |
|
|
|
72 |
Mean |
8.67 |
1.333 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
2.93 |
|
|
|
|
|
Upper Bound |
14.40 |
|
|
|
|
5% Trimmed Mean |
. |
|
|
|
|
|
Median |
10.00 |
|
|
|
|
|
Variance |
5.333 |
|
|
|
|
|
Std. Deviation |
2.309 |
|
|
|
|
|
Minimum |
6 |
|
|
|
|
|
Maximum |
10 |
|
|
|
|
|
Range |
4 |
|
|
|
|
|
Interquartile Range |
. |
|
|
|
|
|
Skewness |
-1.732 |
1.225 |
|
|
|
|
Kurtosis |
. |
. |
|
|
|
73 |
Mean |
8.00 |
.577 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
5.52 |
|
|
|
|
|
Upper Bound |
10.48 |
|
|
|
|
5% Trimmed Mean |
. |
|
|
|
|
|
Median |
8.00 |
|
|
|
|
|
Variance |
1.000 |
|
|
|
|
|
Std. Deviation |
1.000 |
|
|
|
|
|
Minimum |
7 |
|
|
|
|
|
Maximum |
9 |
|
|
|
|
|
Range |
2 |
|
|
|
|
|
Interquartile Range |
. |
|
|
|
|
|
Skewness |
.000 |
1.225 |
|
|
|
|
Kurtosis |
. |
. |
|
|
|
74 |
Mean |
8.75 |
.629 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
6.75 |
|
|
|
|
|
Upper Bound |
10.75 |
|
|
|
|
5% Trimmed Mean |
8.78 |
|
|
|
|
|
Median |
9.00 |
|
|
|
|
|
Variance |
1.583 |
|
|
|
|
|
Std. Deviation |
1.258 |
|
|
|
|
|
Minimum |
7 |
|
|
|
|
|
Maximum |
10 |
|
|
|
|
|
Range |
3 |
|
|
|
|
|
Interquartile Range |
2 |
|
|
|
|
|
Skewness |
-1.129 |
1.014 |
|
|
|
|
Kurtosis |
2.227 |
2.619 |
|
|
|
75 |
Mean |
8.00 |
.000 |
|
|
|
|
95% Confidence Interval for Mean |
Lower Bound |
8.00 |
|
|
|
|
|
Upper Bound |
8.00 |
|
|
|
|
5% Trimmed Mean |
8.00 |
|
|
|
|
|
Median |
8.00 |
|
|
|
|
|
Variance |
.000 |
|
|
|
|
|
Std. Deviation |
.000 |
|
|
|
|
|
Minimum |
8 |
|
|
|
|
|
Maximum |
8 |
|
|
|
|
|
Range |
0 |
|
|
|
|
|
Interquartile Range |
0 |
|
|
|
|
|
Skewness |
. |
. |
|
|
|
|
Kurtosis |
. |
. |
|
|
a. quiz3 is constant when final = 48. It has been omitted. |
|||||
|
b. quiz3 is constant when final = 49. It has been omitted. |
|||||
|
c. quiz3 is constant when final = 56. It has been omitted. |
Observed Value