The researcher is interested in learning how current family income influences ma
ID: 3294230 • Letter: T
Question
The researcher is interested in learning how current family income influences maintaining a positive attitude and life satisfaction. A MANOVA has been conducted to analyze the influence of current family income on maintaining a positive attitude and life satisfaction. (QUESTION) In narrative form, discuss the results of each table below and what the conclusion is: DATA BELOW:
General Linear Model
Between-Subjects Factors
Value Label
N
current family income
0
DTS
7
1
<10,000
35
2
10-20,000
51
3
20-30,000
55
4
30-40,000
40
5
40-50,000
38
6
50,000+
3
Descriptive Statistics
current family income
Mean
Std. Deviation
N
life satisfaction
DTS
4.5429
1.04987
7
<10,000
4.3003
.90816
35
10-20,000
4.6212
.90083
51
20-30,000
5.0256
.74775
55
30-40,000
4.9982
.92114
40
40-50,000
5.0600
.82334
38
50,000+
5.3467
.59501
3
Total
4.8151
.89571
229
maintenance of positive attitude
DTS
5.00
1.414
7
<10,000
5.11
1.694
35
10-20,000
5.22
1.792
51
20-30,000
5.29
1.499
55
30-40,000
5.45
1.358
40
40-50,000
5.55
1.350
38
50,000+
6.33
.577
3
Total
5.32
1.539
229
Multivariate Testsa
Effect
Value
F
Hypothesis df
Error df
Sig.
Partial Eta Squared
Intercept
Pillai's Trace
.937
1644.283b
2.000
221.000
.000
.937
Wilks' Lambda
.063
1644.283b
2.000
221.000
.000
.937
Hotelling's Trace
14.880
1644.283b
2.000
221.000
.000
.937
Roy's Largest Root
14.880
1644.283b
2.000
221.000
.000
.937
income
Pillai's Trace
.111
2.181
12.000
444.000
.012
.056
Wilks' Lambda
.889
2.224b
12.000
442.000
.010
.057
Hotelling's Trace
.124
2.267
12.000
440.000
.009
.058
Roy's Largest Root
.117
4.337c
6.000
222.000
.000
.105
a. Design: Intercept + income
b. Exact statistic
c. The statistic is an upper bound on F that yields a lower bound on the significance level.
Tests of Between-Subjects Effects
Source
Dependent Variable
Type III Sum of Squares
df
Mean Square
F
Sig.
Partial Eta Squared
Corrected Model
life satisfaction
18.618a
6
3.103
4.193
.001
.102
maintenance of positive attitude
8.610b
6
1.435
.599
.731
.016
Intercept
life satisfaction
1934.535
1
1934.535
2613.859
.000
.922
maintenance of positive attitude
2426.000
1
2426.000
1013.349
.000
.820
income
life satisfaction
18.618
6
3.103
4.193
.001
.102
maintenance of positive attitude
8.610
6
1.435
.599
.731
.016
Error
life satisfaction
164.304
222
.740
maintenance of positive attitude
531.477
222
2.394
Total
life satisfaction
5492.225
229
maintenance of positive attitude
7029.000
229
Corrected Total
life satisfaction
182.922
228
maintenance of positive attitude
540.087
228
a. R Squared = .102 (Adjusted R Squared = .078)
b. R Squared = .016 (Adjusted R Squared = -.011)
Estimated Marginal Means
current family income
Dependent Variable
current family income
Mean
Std. Error
95% Confidence Interval
Lower Bound
Upper Bound
life satisfaction
DTS
4.543
.325
3.902
5.184
<10,000
4.300
.145
4.014
4.587
10-20,000
4.621
.120
4.384
4.859
20-30,000
5.026
.116
4.797
5.254
30-40,000
4.998
.136
4.730
5.266
40-50,000
5.060
.140
4.785
5.335
50,000+
5.347
.497
4.368
6.326
maintenance of positive attitude
DTS
5.000
.585
3.848
6.152
<10,000
5.114
.262
4.599
5.630
10-20,000
5.216
.217
4.789
5.643
20-30,000
5.291
.209
4.880
5.702
30-40,000
5.450
.245
4.968
5.932
40-50,000
5.553
.251
5.058
6.047
50,000+
6.333
.893
4.573
8.094
Between-Subjects Factors
Value Label
N
current family income
0
DTS
7
1
<10,000
35
2
10-20,000
51
3
20-30,000
55
4
30-40,000
40
5
40-50,000
38
6
50,000+
3
Explanation / Answer
“Levene's test of equality of error variances” . In this table we notice that the significance value for “Life Satisfaction” is 0.717 which is greater than 0.10 so we can say that the equal variance assumption for this variable is not violated. However, for the variable “Positive Attitudes” the significant value is 0.57 which is less than 0.10, so the equal variances assumptions is violated for this variable.
The second last table just gives a MANOVA summary.
The table gives us the mean and standard deviation belonging to each category of income for the given dependent variable along with their respective 95% confidence limits.
The first table is just a frequency distribution of the number of families belonging to each income group.
The second table gives the mean and standard deviation along with the number in each category of the two dependent variable “Life Satisfaction” and “Positive Attitude” separately for each level of income.