# T-tests and anova

• Summarize your interpretation of the ANOVA statistics provided in the Week 5 ANOVA Exercises SPSS Output document.
• Note: Interpretation of the ANOVA output should include identification of the -value to determine whether the differences between the group means are statistically significant.
• Be sure to accurately evaluate each of the results presented (descriptives, ANOVA results, and multiple comparisons using post-hoc analysis)

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.