Week 5 ANOVA Exercises SPSS Output
Descriptives
Overall satisfaction, material well-being
N Mean Std. Deviation Std. Error
95% Confidence Interval for
Mean
Minimum MaximumLower Bound Upper Bound
No Housing Problem 367 12.71 2.353 .123 12.47 12.95 4 16
One Housing Problem 264 11.97 2.588 .159 11.66 12.28 4 16
Two or More Housing
Problems
304 10.57 2.594 .149 10.28 10.86 4 16
Total 935 11.80 2.658 .087 11.63 11.97 4 16
Test of Homogeneity of Variances
Overall satisfaction, material well-being
Levene Statistic df1 df2 Sig.
2.109 2 932 .122
ANOVA
Overall satisfaction, material well-being
Sum of Squares df Mean Square F Sig.
Between Groups 771.072 2 385.536 61.674 .000
Within Groups 5826.111 932 6.251
Total 6597.183 934
Multiple Comparisons
Overall satisfaction, material well-being
Tukey HSD
(I) Housing Problems (J) Housing Problems Mean
Difference (I-J) Std. Error Sig.
95% Confidence Interval
Lower Bound Upper Bound
No Housing Problem One Housing Problem .739* .202 .001 .27 1.21
Two or More Housing
Problems
2.139* .194 .000 1.68 2.59
One Housing Problem No Housing Problem -.739* .202 .001 -1.21 -.27
Two or More Housing
Problems
1.401* .210 .000 .91 1.89
Two or More Housing
Problems
No Housing Problem -2.139* .194 .000 -2.59 -1.68
One Housing Problem -1.401* .210 .000 -1.89 -.91
*. The mean difference is significant at the 0.05 level
### Week 5 ANOVA Exercises SPSS Output Analysis
#### Descriptives
The descriptive statistics for overall satisfaction and material well-being by housing problems are summarized below:
– **No Housing Problem:**
– N = 367
– Mean = 12.71
– Std. Deviation = 2.353
– Std. Error = 0.123
– 95% Confidence Interval for Mean: [12.47, 12.95]
– Range: 4 to 16
– **One Housing Problem:**
– N = 264
– Mean = 11.97
– Std. Deviation = 2.588
– Std. Error = 0.159
– 95% Confidence Interval for Mean: [11.66, 12.28]
– Range: 4 to 16
– **Two or More Housing Problems:**
– N = 304
– Mean = 10.57
– Std. Deviation = 2.594
– Std. Error = 0.149
– 95% Confidence Interval for Mean: [10.28, 10.86]
– Range: 4 to 16
– **Total:**
– N = 935
– Mean = 11.80
– Std. Deviation = 2.658
– Std. Error = 0.087
– 95% Confidence Interval for Mean: [11.63, 11.97]
– Range: 4 to 16
#### Test of Homogeneity of Variances
The Levene’s test for homogeneity of variances has the following results:
– Levene Statistic = 2.109
– df1 = 2
– df2 = 932
– Sig. = 0.122
Since the significance level (p-value) is 0.122, which is greater than 0.05, we fail to reject the null hypothesis that the variances are equal. Therefore, we can assume homogeneity of variances.
#### ANOVA
The ANOVA table provides the following results:
– **Sum of Squares:**
– Between Groups = 771.072
– Within Groups = 5826.111
– Total = 6597.183
– **Degrees of Freedom:**
– Between Groups = 2
– Within Groups = 932
– Total = 934
– **Mean Square:**
– Between Groups = 385.536
– Within Groups = 6.251
– **F Statistic = 61.674**
– **Significance (Sig.) = 0.000**
The p-value is less than 0.05, indicating that there are statistically significant differences between the groups’ means.
#### Multiple Comparisons (Tukey HSD)
The Tukey HSD test for multiple comparisons indicates the following mean differences between groups:
– **No Housing Problem vs. One Housing Problem:**
– Mean Difference = 0.739
– Std. Error = 0.202
– Sig. = 0.001
– 95% Confidence Interval: [0.27, 1.21]
– **No Housing Problem vs. Two or More Housing Problems:**
– Mean Difference = 2.139
– Std. Error = 0.194
– Sig. = 0.000
– 95% Confidence Interval: [1.68, 2.59]
– **One Housing Problem vs. Two or More Housing Problems:**
– Mean Difference = 1.401
– Std. Error = 0.210
– Sig. = 0.000
– 95% Confidence Interval: [0.91, 1.89]
All the mean differences are statistically significant at the 0.05 level.
### Summary and Interpretation
1. **Descriptive Statistics:** The mean overall satisfaction and material well-being scores decrease as the number of housing problems increases. Those with no housing problems have the highest mean score (12.71), while those with two or more housing problems have the lowest mean score (10.57).
2. **Homogeneity of Variances:** The assumption of equal variances is met, as indicated by the non-significant Levene’s test (p = 0.122).
3. **ANOVA Results:** There is a statistically significant difference in overall satisfaction and material well-being across the different levels of housing problems (p = 0.000).
4. **Post-Hoc Comparisons:** The Tukey HSD test shows that all pairwise comparisons between the groups are statistically significant:
– Individuals with no housing problems have significantly higher satisfaction and well-being compared to those with one housing problem and those with two or more housing problems.
– Individuals with one housing problem have significantly higher satisfaction and well-being compared to those with two or more housing problems.
These results suggest that housing problems are associated with lower overall satisfaction and material well-being, and as the number of housing problems increases, the level of satisfaction and well-being decreases significantly. Nurse practitioners and other healthcare providers should consider these factors when assessing and supporting patients facing housing issues.
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