Statistics
Foodsvc
soci332_spss_week8_newest-1.docRenee Hutchings SPSS wk 8
1. Compute the mean, median mode, standard deviation, variance, and range for the following data. Provide these statistics and answer these questions: Which test had the highest average score? Which test had the smallest amount of variability?
Test 2 had the highest average score.
The smallest amount of variability was test 3 with the lowest score being 46 and the highest being 51, there was a 5 point difference in the lowest versus highest score. Test 2 had a 9 point difference in the lowest of 46 versus 55 score and Test 1 had a 10 point difference at 45 versus 55.
|
Test 1 |
Test 2 |
Test 3 |
|
49 |
50 |
50 |
|
47 |
49 |
50 |
|
51 |
51 |
49 |
|
55 |
46 |
49 |
|
55 |
48 |
48 |
|
45 |
53 |
49 |
|
47 |
49 |
46 |
|
45 |
52 |
51 |
|
46 |
48 |
48 |
|
53 |
55 |
50 |
FREQUENCIES VARIABLES=Test Grade
/STATISTICS=STDDEV VARIANCE RANGE MEAN MEDIAN MODE
/ORDER=ANALYSIS.
|
Statistics |
|||
|
|
Test |
Grade |
|
|
N |
Valid |
30 |
29 |
|
|
Missing |
0 |
1 |
|
Mean |
2.0000 |
49.5172 |
|
|
Median |
2.0000 |
49.0000 |
|
|
Mode |
1.00a |
49.00 |
|
|
Std. Deviation |
.83045 |
2.84882 |
|
|
Variance |
.690 |
8.116 |
|
|
Range |
2.00 |
10.00 |
|
|
a. Multiple modes exist. The smallest value is shown |
Frequency Table
|
Test |
|||||
|
|
Frequency |
Percent |
Valid Percent |
Cumulative Percent |
|
|
Valid |
1.00 |
10 |
33.3 |
33.3 |
33.3 |
|
|
2.00 |
10 |
33.3 |
33.3 |
66.7 |
|
|
3.00 |
10 |
33.3 |
33.3 |
100.0 |
|
|
Total |
30 |
100.0 |
100.0 |
|
|
Grade |
|||||
|
|
Frequency |
Percent |
Valid Percent |
Cumulative Percent |
|
|
Valid |
45.00 |
2 |
6.7 |
6.9 |
6.9 |
|
|
46.00 |
3 |
10.0 |
10.3 |
17.2 |
|
|
47.00 |
2 |
6.7 |
6.9 |
24.1 |
|
|
48.00 |
3 |
10.0 |
10.3 |
34.5 |
|
|
49.00 |
6 |
20.0 |
20.7 |
55.2 |
|
|
50.00 |
4 |
13.3 |
13.8 |
69.0 |
|
|
51.00 |
3 |
10.0 |
10.3 |
79.3 |
|
|
52.00 |
1 |
3.3 |
3.4 |
82.8 |
|
|
53.00 |
2 |
6.7 |
6.9 |
89.7 |
|
|
55.00 |
3 |
10.0 |
10.3 |
100.0 |
|
|
Total |
29 |
96.7 |
100.0 |
|
|
Missing |
System |
1 |
3.3 |
|
|
|
Total |
30 |
100.0 |
|
|
2. Enter the following data into SPSS. Determine the correlation between hours of studying and grade point average in these honor students. Explain your results.
|
Hours of Studying |
GPA |
|
25 |
3.94 |
|
14 |
3.89 |
|
17 |
4.00 |
|
16 |
3.77 |
|
18 |
3.96 |
|
23 |
3.85 |
|
16 |
3.65 |
|
13 |
3.93 |
|
20 |
3.81 |
|
11 |
3.81 |
CORRELATIONS
/VARIABLES=Hoursofstudy GPA /PRINT=TWOTAIL NOSIG /STATISTICS DESCRIPTIVES /MISSING=PAIRWISE.
|
Descriptive Statistics |
|||
|
|
Mean |
Std. Deviation |
N |
|
Hoursofstudy |
17.3000 |
4.37290 |
10 |
|
GPA |
3.8610 |
.10493 |
10 |
|
Correlations |
|||
|
|
Hoursofstudy |
GPA |
|
|
Hoursofstudy |
Pearson Correlation |
1 |
.183 |
|
|
Sig. (2-tailed) |
|
.612 |
|
|
N |
10 |
10 |
|
GPA |
Pearson Correlation |
.183 |
1 |
|
|
Sig. (2-tailed) |
.612 |
|
|
|
N |
10 |
10 |
3. For this exercise you will be using the data contained in the following file (you can find it under Resources) NES2004.sav, Your assignment is to run at least 2 crosstabs, copy and paste them to this document and briefly explain each of them.
CROSSTABS
/TABLES=abort_funding abort_imp age BY abort_rights /FORMAT=AVALUE TABLES
/CELLS=COUNT /COUNT ROUND CELL.
Crosstabs
|
Case Processing Summary |
||||||
|
|
Cases |
|||||
|
|
Valid |
Missing |
Total |
|||
|
|
N |
Percent |
N |
Percent |
N |
Percent |
|
Favor/oppose govt funds to pay for abortion * Abortion position: self-placement |
998 |
82.3% |
214 |
17.7% |
1212 |
100.0% |
|
Importance of abortion issue to R * Abortion position: self-placement |
1047 |
86.4% |
165 |
13.6% |
1212 |
100.0% |
|
Respondent age * Abortion position: self-placement |
1047 |
86.4% |
165 |
13.6% |
1212 |
100.0% |
|
Favor/oppose govt funds to pay for abortion * Abortion position: self-placement Crosstabulation |
||||||
|
Count |
||||||
|
|
Abortion position: self-placement |
Total |
||||
|
|
1 By law, abortion should never be permitted |
2 The law should permit abortion only in case of rape, inc |
3 The law should permit abortion for reasons othr than rape |
4 By law, a woman should always be able to obtain an abort |
|
|
|
Favor/oppose govt funds to pay for abortion |
1 Favor strongly |
5 |
14 |
31 |
134 |
184 |
|
|
2 Favor not strongly |
4 |
41 |
44 |
110 |
199 |
|
|
4 Oppose not strongly |
8 |
43 |
32 |
58 |
141 |
|
|
5 Oppose strongly |
121 |
217 |
63 |
73 |
474 |
|
Total |
138 |
315 |
170 |
375 |
998 |
|
Importance of abortion issue to R * Abortion position: self-placement Crosstabulation |
||||||
|
Count |
||||||
|
|
Abortion position: self-placement |
Total |
||||
|
|
1 By law, abortion should never be permitted |
2 The law should permit abortion only in case of rape, inc |
3 The law should permit abortion for reasons othr than rape |
4 By law, a woman should always be able to obtain an abort |
|
|
|
Importance of abortion issue to R |
1 Extremely important |
82 |
85 |
26 |
132 |
325 |
|
|
2 Very important |
41 |
118 |
41 |
114 |
314 |
|
|
3 Somewhat important |
12 |
107 |
91 |
105 |
315 |
|
|
4 Not too important |
2 |
19 |
23 |
30 |
74 |
|
|
5 Not at all important |
2 |
3 |
4 |
10 |
19 |
|
Total |
139 |
332 |
185 |
391 |
1047 |
|
Respondent age * Abortion position: self-placement Crosstabulation |
||||||
|
Count |
||||||
|
|
Abortion position: self-placement |
Total |
||||
|
|
1 By law, abortion should never be permitted |
2 The law should permit abortion only in case of rape, inc |
3 The law should permit abortion for reasons othr than rape |
4 By law, a woman should always be able to obtain an abort |
|
|
|
Respondent age |
18 |
0 |
5 |
0 |
2 |
7 |
|
|
19 |
1 |
6 |
3 |
5 |
15 |
|
|
20 |
0 |
9 |
3 |
5 |
17 |
|
|
21 |
1 |
4 |
4 |
4 |
13 |
|
|
22 |
1 |
8 |
1 |
5 |
15 |
|
|
23 |
1 |
9 |
2 |
11 |
23 |
|
|
24 |
2 |
6 |
2 |
8 |
18 |
|
|
25 |
6 |
8 |
1 |
7 |
22 |
|
|
26 |
0 |
5 |
4 |
6 |
15 |
|
|
27 |
5 |
2 |
2 |
8 |
17 |
|
|
28 |
1 |
5 |
4 |
14 |
24 |
|
|
29 |
3 |
4 |
3 |
8 |
18 |
|
|
30 |
1 |
5 |
1 |
5 |
12 |
|
|
31 |
2 |
6 |
5 |
9 |
22 |
|
|
32 |
2 |
2 |
1 |
8 |
13 |
|
|
33 |
1 |
5 |
3 |
11 |
20 |
|
|
34 |
2 |
5 |
3 |
7 |
17 |
|
|
35 |
3 |
4 |
5 |
7 |
19 |
|
|
36 |
2 |
7 |
2 |
5 |
16 |
|
|
37 |
2 |
3 |
4 |
5 |
14 |
|
|
38 |
3 |
3 |
3 |
7 |
16 |
|
|
39 |
2 |
6 |
6 |
8 |
22 |
|
|
40 |
1 |
4 |
2 |
9 |
16 |
|
|
41 |
4 |
8 |
2 |
7 |
21 |
|
|
42 |
2 |
3 |
2 |
9 |
16 |
|
|
43 |
1 |
7 |
3 |
4 |
15 |
|
|
44 |
2 |
7 |
3 |
11 |
23 |
|
|
45 |
3 |
2 |
5 |
11 |
21 |
|
|
46 |
3 |
8 |
3 |
9 |
23 |
|
|
47 |
2 |
7 |
5 |
7 |
21 |
|
|
48 |
4 |
4 |
5 |
6 |
19 |
|
|
49 |
4 |
3 |
2 |
11 |
20 |
|
|
50 |
4 |
3 |
6 |
7 |
20 |
|
|
51 |
1 |
9 |
2 |
10 |
22 |
|
|
52 |
2 |
8 |
4 |
8 |
22 |
|
|
53 |
2 |
3 |
4 |
9 |
18 |
|
|
54 |
6 |
2 |
1 |
6 |
15 |
|
|
55 |
4 |
9 |
1 |
6 |
20 |
|
|
56 |
3 |
8 |
3 |
11 |
25 |
|
|
57 |
3 |
4 |
4 |
12 |
23 |
|
|
58 |
4 |
7 |
3 |
8 |
22 |
|
|
59 |
3 |
4 |
2 |
3 |
12 |
|
|
60 |
2 |
6 |
1 |
2 |
11 |
|
|
61 |
2 |
9 |
3 |
4 |
18 |
|
|
62 |
3 |
6 |
7 |
5 |
21 |
|
|
63 |
3 |
9 |
7 |
8 |
27 |
|
|
64 |
4 |
5 |
5 |
4 |
18 |
|
|
65 |
4 |
6 |
2 |
5 |
17 |
|
|
66 |
2 |
7 |
2 |
3 |
14 |
|
|
67 |
2 |
8 |
1 |
1 |
12 |
|
|
68 |
0 |
5 |
3 |
3 |
11 |
|
|
69 |
1 |
3 |
3 |
3 |
10 |
|
|
70 |
0 |
2 |
3 |
4 |
9 |
|
|
71 |
0 |
2 |
2 |
2 |
6 |
|
|
72 |
3 |
2 |
0 |
2 |
7 |
|
|
73 |
1 |
3 |
1 |
4 |
9 |
|
|
74 |
2 |
5 |
2 |
0 |
9 |
|
|
75 |
0 |
2 |
4 |
2 |
8 |
|
|
76 |
1 |
4 |
0 |
4 |
9 |
|
|
77 |
1 |
6 |
2 |
6 |
15 |
|
|
78 |
2 |
3 |
1 |
0 |
6 |
|
|
79 |
0 |
1 |
3 |
2 |
6 |
|
|
80 |
1 |
1 |
2 |
0 |
4 |
|
|
81 |
0 |
2 |
1 |
2 |
5 |
|
|
82 |
2 |
3 |
1 |
2 |
8 |
|
|
83 |
0 |
2 |
1 |
1 |
4 |
|
|
84 |
2 |
1 |
1 |
0 |
4 |
|
|
85 |
0 |
0 |
1 |
0 |
1 |
|
|
86 |
1 |
0 |
2 |
1 |
4 |
|
|
88 |
1 |
0 |
0 |
2 |
3 |
|
|
90 |
0 |
2 |
0 |
0 |
2 |
|
Total |
139 |
332 |
185 |
391 |
1047 |
4. Researchers are interested in whether depressed people undergoing group therapy will perform a different number of activities of daily living before and after group therapy. The researchers have randomly selected 8 depressed clients in a 6-week group therapy program.
Use the five steps of hypothesis testing to determine whether the observed differences in numbers of activities of daily living (shown below) obtained before and after therapy are statistically significant at the .05 level of significance and, for practice, at the .01 level. (Clearly indicate each step).
In Step 2, show all calculations. As part of Step 5, indicate whether the researchers should recommend group therapy for all depressed people based on evaluation of the null hypothesis at both levels of significance and calculate the effect size.
|
CLIENT |
BEFORE THERAPY |
AFTER THERAPY |
|
A |
11 |
17 |
|
B |
14 |
15 |
|
C |
8 |
12 |
|
D |
9 |
21 |
|
E |
13 |
16 |
|
F |
10 |
18 |
|
G |
7 |
17 |
|
H |
12 |
8 |
At .05 Level
ONEWAY Before BY After
/STATISTICS DESCRIPTIVES HOMOGENEITY BROWNFORSYTHE WELCH
/PLOT MEANS
/MISSING ANALYSIS.
Oneway
[DataSet0]
|
Descriptives |
||||||||
|
Before |
||||||||
|
|
N |
Mean |
Std. Deviation |
Std. Error |
95% Confidence Interval for Mean |
Minimum |
Maximum |
|
|
|
|
|
|
|
Lower Bound |
Upper Bound |
|
|
|
7.00 |
1 |
7.0000 |
. |
. |
. |
. |
7.00 |
7.00 |
|
8.00 |
2 |
5.5000 |
3.53553 |
2.50000 |
-26.2655 |
37.2655 |
3.00 |
8.00 |
|
9.00 |
1 |
4.0000 |
. |
. |
. |
. |
4.00 |
4.00 |
|
10.00 |
1 |
6.0000 |
. |
. |
. |
. |
6.00 |
6.00 |
|
11.00 |
1 |
1.0000 |
. |
. |
. |
. |
1.00 |
1.00 |
|
12.00 |
2 |
5.5000 |
3.53553 |
2.50000 |
-26.2655 |
37.2655 |
3.00 |
8.00 |
|
13.00 |
1 |
5.0000 |
. |
. |
. |
. |
5.00 |
5.00 |
|
14.00 |
1 |
2.0000 |
. |
. |
. |
. |
2.00 |
2.00 |
|
15.00 |
1 |
2.0000 |
. |
. |
. |
. |
2.00 |
2.00 |
|
16.00 |
1 |
5.0000 |
. |
. |
. |
. |
5.00 |
5.00 |
|
17.00 |
2 |
4.0000 |
4.24264 |
3.00000 |
-34.1186 |
42.1186 |
1.00 |
7.00 |
|
18.00 |
1 |
6.0000 |
. |
. |
. |
. |
6.00 |
6.00 |
|
21.00 |
1 |
4.0000 |
. |
. |
. |
. |
4.00 |
4.00 |
|
Total |
16 |
4.5000 |
2.36643 |
.59161 |
3.2390 |
5.7610 |
1.00 |
8.00 |
|
Test of Homogeneity of Variancesa |
|||
|
Before |
|||
|
Levene Statistic |
df1 |
df2 |
Sig. |
|
.b |
2 |
. |
. |
|
a. Test of homogeneity of variances cannot be performed for Before because the sum of caseweights is less than the number of groups. |
|||
|
b. Groups with only one case are ignored in computing the test of homogeneity of variance for Before. |
|
ANOVA |
|||||
|
Before |
|||||
|
|
Sum of Squares |
df |
Mean Square |
F |
Sig. |
|
Between Groups |
41.000 |
12 |
3.417 |
.238 |
.970 |
|
Within Groups |
43.000 |
3 |
14.333 |
|
|
|
Total |
84.000 |
15 |
|
|
|
|
Robust Tests of Equality of Meansb |
||||
|
Before |
||||
|
|
Statistica |
df1 |
df2 |
Sig. |
|
Welch |
. |
. |
. |
. |
|
Brown-Forsythe |
. |
. |
. |
. |
|
a. Asymptotically F distributed. |
||||
|
b. Robust tests of equality of means cannot be performed for Before because at least one group has the sum of case weights less than or equal to 1. |
Means Plots
At the .01 Level
ONEWAY Before BY After
/STATISTICS DESCRIPTIVES HOMOGENEITY BROWNFORSYTHE WELCH
/PLOT MEANS
/MISSING ANALYSIS.
Oneway
|
Descriptives |
||||||||
|
Before |
||||||||
|
|
N |
Mean |
Std. Deviation |
Std. Error |
95% Confidence Interval for Mean |
Minimum |
Maximum |
|
|
|
|
|
|
|
Lower Bound |
Upper Bound |
|
|
|
7.00 |
1 |
7.0000 |
. |
. |
. |
. |
7.00 |
7.00 |
|
8.00 |
2 |
5.5000 |
3.53553 |
2.50000 |
-26.2655 |
37.2655 |
3.00 |
8.00 |
|
9.00 |
1 |
4.0000 |
. |
. |
. |
. |
4.00 |
4.00 |
|
10.00 |
1 |
6.0000 |
. |
. |
. |
. |
6.00 |
6.00 |
|
11.00 |
1 |
1.0000 |
. |
. |
. |
. |
1.00 |
1.00 |
|
12.00 |
2 |
5.5000 |
3.53553 |
2.50000 |
-26.2655 |
37.2655 |
3.00 |
8.00 |
|
13.00 |
1 |
5.0000 |
. |
. |
. |
. |
5.00 |
5.00 |
|
14.00 |
1 |
2.0000 |
. |
. |
. |
. |
2.00 |
2.00 |
|
15.00 |
1 |
2.0000 |
. |
. |
. |
. |
2.00 |
2.00 |
|
16.00 |
1 |
5.0000 |
. |
. |
. |
. |
5.00 |
5.00 |
|
17.00 |
2 |
4.0000 |
4.24264 |
3.00000 |
-34.1186 |
42.1186 |
1.00 |
7.00 |
|
18.00 |
1 |
6.0000 |
. |
. |
. |
. |
6.00 |
6.00 |
|
21.00 |
1 |
4.0000 |
. |
. |
. |
. |
4.00 |
4.00 |
|
Total |
16 |
4.5000 |
2.36643 |
.59161 |
3.2390 |
5.7610 |
1.00 |
8.00 |
|
Test of Homogeneity of Variancesa |
|||
|
Before |
|||
|
Levene Statistic |
df1 |
df2 |
Sig. |
|
.b |
2 |
. |
. |
|
a. Test of homogeneity of variances cannot be performed for Before because the sum of caseweights is less than the number of groups. |
|||
|
b. Groups with only one case are ignored in computing the test of homogeneity of variance for Before. |
|
ANOVA |
|||||
|
Before |
|||||
|
|
Sum of Squares |
df |
Mean Square |
F |
Sig. |
|
Between Groups |
41.000 |
12 |
3.417 |
.238 |
.970 |
|
Within Groups |
43.000 |
3 |
14.333 |
|
|
|
Total |
84.000 |
15 |
|
|
|
|
Robust Tests of Equality of Meansb |
|||||
|
Before |
|||||
|
|
Statistica |
df1 |
df2 |
Sig. |
|
|
Welch |
. |
. |
. |
. |
|
|
Brown-Forsythe |
. |
. |
. |
. |
|
|
a. Asymptotically F distributed. |
|||||
|
b. Robust tests of equality of means cannot be performed for Before because at least one group has the sum of case weights less than or equal to 1. |
5. The scores on a job satisfaction inventory for both groups are listed in the table below.
Use the five steps of hypothesis testing to determine whether the job satisfaction scores of the group that participated in counseling are statistically higher than the scores of employees who did not participate in counseling at the .01 level of significance.
In Step 2, show all calculations.
As part of Step 5, indicate whether the researcher should recommend counseling as a method to improve job satisfaction following industrial accidents based on evaluation of the null hypothesis and calculate the effect size.
|
PARTICIPATED IN COUNSELING |
DID NOT PARTICIPATE IN COUNSELING |
|
37 |
36 |
|
35 |
39 |
|
36 |
40 |
|
33 |
36 |
|
30 |
38 |
|
38 |
35 |
|
39 |
37 |
|
35 |
39 |
|
32 |
42 |
ONEWAY counseling BY nocounseling
/STATISTICS DESCRIPTIVES HOMOGENEITY BROWNFORSYTHE WELCH
/PLOT MEANS
/MISSING ANALYSIS.
Oneway
|
Descriptives |
||||||||
|
counseling |
||||||||
|
|
N |
Mean |
Std. Deviation |
Std. Error |
95% Confidence Interval for Mean |
Minimum |
Maximum |
|
|
|
|
|
|
|
Lower Bound |
Upper Bound |
|
|
|
35.00 |
1 |
38.0000 |
. |
. |
. |
. |
38.00 |
38.00 |
|
36.00 |
2 |
35.0000 |
2.82843 |
2.00000 |
9.5876 |
60.4124 |
33.00 |
37.00 |
|
37.00 |
1 |
39.0000 |
. |
. |
. |
. |
39.00 |
39.00 |
|
38.00 |
1 |
30.0000 |
. |
. |
. |
. |
30.00 |
30.00 |
|
39.00 |
2 |
35.0000 |
.00000 |
.00000 |
35.0000 |
35.0000 |
35.00 |
35.00 |
|
40.00 |
1 |
36.0000 |
. |
. |
. |
. |
36.00 |
36.00 |
|
42.00 |
1 |
32.0000 |
. |
. |
. |
. |
32.00 |
32.00 |
|
Total |
9 |
35.0000 |
2.91548 |
.97183 |
32.7590 |
37.2410 |
30.00 |
39.00 |
|
Test of Homogeneity of Variancesa |
|||
|
counseling |
|||
|
Levene Statistic |
df1 |
df2 |
Sig. |
|
.b |
1 |
. |
. |
|
a. Test of homogeneity of variances cannot be performed for counseling because the sum of caseweights is less than the number of groups. |
|||
|
b. Groups with only one case are ignored in computing the test of homogeneity of variance for counseling. |
|
ANOVA |
|||||
|
counseling |
|||||
|
|
Sum of Squares |
df |
Mean Square |
F |
Sig. |
|
Between Groups |
60.000 |
6 |
10.000 |
2.500 |
.313 |
|
Within Groups |
8.000 |
2 |
4.000 |
|
|
|
Total |
68.000 |
8 |
|
|
|
|
Robust Tests of Equality of Meansb |
||||
|
counseling |
||||
|
|
Statistica |
df1 |
df2 |
Sig. |
|
Welch |
. |
. |
. |
. |
|
Brown-Forsythe |
. |
. |
. |
. |
|
a. Asymptotically F distributed. |
||||
|
b. Robust tests of equality of means cannot be performed for counseling because at least one group has the sum of case weights less than or equal to 1. |
