In descriptive statistics, a quartile is each of the three values ??that divide the sorted data into 4 equal parts, so that each part represents one fourth of the sample population.
Statistics
OVERALL COLLEGE GPA
MAJOR AREA GPA
GRE SCORE ON QUANTATIVE
N
Valid
50
50
50
Missing
0
0
0
Quartiles
25
3.3475
3.6275
640.00
50
3.5500
3.8150
685.00
75
3.7100
3.9700
740.00
Quartile is calculated as 4-quantile
The 1st quartile divides the bottom 25% of the data;
The 2nd quartile is the median of the series;
The 3rd quartile separates the lower 75% of the data.
The difference between the 3 rd quartile and 1st quartile is called inter-quartile range, which is a dispersion criterion of the series.
Solution
One-Sample Test
Test Value = 33
tdfSig. (2-tailed)Mean Difference95% Confidence Interval of the Difference
LowerUpper
Age-2.737536.006-1.655-2.84-.47
Computation 4
Chapter 12
Problem # 5
Using the grades.sav data, create a correlation matrix using year, gpa, and grade. Using regression, predict grade from year and grade from gpa.
Correlation Matrix using year, gpa, and grade
Correlations
Year in schoolgpagrade
Year in schoolPearson Correlation1-.083-.003
Sig. (1-tailed).200.487
N105105105
gpaPearson Correlation-.0831.476**
Sig. (1-tailed).200.000
N105105105
gradePearson Correlation-.003.476**1
Sig. (1-tailed).487.000
N105105105
**. Correlation is significant at the 0.01 level (1-tailed).
The 1-tailed correlation results shows that there is a strongly weak significance between year and GPA as well as
Computation 2: Chapter 9
Problem # 2: Solution
ANOVA Table
Sum of Squares
d.f.
Mean Square
F
Sig.
Final * Year in school
Between Groups
(Combined)
37.165
3
12.388
.192
.902
Linearity
5.248
1
5.248
.081
.776
Deviation from Linearity
31.917
2
15.959
.247
.782
Within Groups
6525.025
101
64.604
Total
6562.190
104
Measures of Association
R
R Squared
Eta
Eta Squared
Final * Year in school
-.028
.001
.075
.006
ANOVA Table
Sum of Squares
d.f.
Mean Square
F
Sig.
Final * Section
Between Groups
(Combined)
183.752
2
91.876
1.469
.235
Linearity
180.015
1
180.015
2.879
.093
Deviation from Linearity
3.737
1
3.737
.060
.807
Within Groups
6378.438
102
62.534
Total
6562.190
104
Measures of Association
R
R Squared
Eta
Eta Squared
Final * Section
-.166
.027
.167
.028
Computation 3: Chapter 11
Problem # 5: Solution
In this section we will see how to test the null hypothesis from two means from two samples (or subgroups) independent. We will actually judge whether two means are equal in population-Based on the result of the comparison between these two samples. The technique used is called t-test for independent samples (Independent sample t test).
Independent Samples Test
Levene's Test for Equality of Variances
t-test for Equality of Means
F
Sig.
t
df
Sig. (2-tailed)
Mean Difference
Std. Error Difference
95% Confidence Interval of the Difference
Lower
Upper
age
Equal variances assumed
1.159
.282
-2.028
535
.043
-2.502
1.234
-4.925
-.078
Equal variances not assumed
-1.984
417.543
.048
-2.502
1.261
-4.980
-.023
NUMBER OF YEARS IN SCHOOL
Equal variances assumed
.678
.411
-1.886
535
.060
-.200
.106
-.408
.008
Equal variances not assumed
-1.898
460.258
.058
-.200
.105
-.407
.007
income
Equal variances assumed
.219
.640
1.568
535
.118
.186
.119
-.047
.419
Equal variances not assumed
1.563
446.563
.119
.186
.119
-.048
.420
MEAN CLOSENESS RATING
Equal variances assumed
2.808
.094
4.155
535
.000
.5051
.1216
.2663
.7440
Equal variances not assumed
4.187
462.717
.000
.5051
.1206
.2681
.7422
HELPER MEAN RATING OF CONTROLLABILITY
Equal variances assumed
.035
.852
-3.596
535
.000
-.5432
.1511
-.8399
-.2464
Equal variances not assumed
-3.572
440.945
.000
-.5432
.1521
-.8420
-.2443
MEAN RATING OF FOUR ANGER QUESTIONS
Equal variances assumed
.642
.423
-2.849
535
.005
-.3848
.1351
-.6501
-.1194
Equal variances not assumed
-2.858
456.106
.004
-.3848
.1346
-.6493
-.1202
MEAN RATING OF 3 HELPER COPING QUESTIONS
Equal variances assumed
.015
.903
2.748
535
.006
.2939
.1069
.0838
.5040
Equal variances not assumed
2.753
453.777
.006
.2939
.1068
.0841
.5037
SYMPATHY MEASURE DELETING PITY
Equal variances assumed
1.764
.185
5.107
535
.000
.57425
.11245
.35336
.79514
Equal variances not assumed
5.042
431.316
.000
.57425
.11390
.35037
.79812
HELPER MEAN SEVERITY RATING
Equal variances assumed
2.346
.126
3.197
535
.001
.4422
.1383
.1705
.7139
Equal variances not assumed
3.130
418.234
.002
.4422
.1413
.1645
.7199
MEAN OF 14 EMPATHY QUESTIONS
Equal variances assumed
.159
.690
7.681
535
.000
.60468
.07873
.45003
.75934
Equal variances not assumed
7.742
463.101
.000
.60468
.07810
.45121
.75816
MEAN OF 14 EFFICACY MEASURES
Equal variances assumed
.718
.397
2.927
535
.004
.24725
.08447
.08132
.41318
Equal variances not assumed
2.942
458.641
.003
.24725
.08405
.08209
.41242
MEAN OF HELPER/RECIPIENT LNZHELP
Equal variances assumed
3.077
.080
4.285
535
.000
.35002
.08169
.18955
.51050
Equal variances not assumed
4.189
416.542
.000
.35002
.08355
.18579
.51425
MEAN OF HELPER/RECIPIENT ZQUALITY HELP
Equal variances assumed
.077
.782
3.108
535
.002
.23896
.07689
.08792
.38999
Equal variances not assumed
3.098
446.070
.002
.23896
.07714
.08735
.39056
COMBINED HELP MEASURE--QUANTITY & QUALITY
Equal variances assumed
.425
.515
4.620
535
.000
.29449
.06374
.16928
.41970
Equal variances not assumed
4.558
430.328
.000
.29449
.06461
.16751
.42147
Problem # 7: Solution
One-Sample Test
Test Value = 33
t
df
Sig. (2-tailed)
Mean Difference
95% Confidence Interval of the Difference
Lower
Upper
Age
-2.737
536
.006
-1.655
-2.84
-.47
year and grade. However there is a little stronger relation between GPA and Grade that is 0.476.
The negative value shows that there is negative relation between year and GPA and year and Grade. However, the positive Pearson Correlation between GPA and Grade shows there is positive relation between them, which means that as the GPA increases, ...