0 0 0 0 0 Mean 9.7850 12.2365 14.4460 15.6450 13.0281 df1 mogeneity of Variances 3 Sum of Squares df2 Std. Deviation 2.96074 4.05418 5.37922 5.23052 4.96634 400.059 1548.437 1948.496 76 Sig. df .052 ANOVA 3 76 79 Descriptives Contrast Std. Error .66204 .90654 1.20283 1.16958 .55525 Mean Square 133.353 20.374 95% Confidence Interval for Mean Lower Bound 8.3993 10.3391 11.9284 13.1970 11.9229 Contrast 18 to 29 1 1 Contrast Tests Value of Contrast Contrast Coefficients AgeGroup F 6.545 Upper Bound 11.1707 14.1339 16.9636 18.0930 14.1333 30 to 39 -1 Sig. .001 Std. Error t Minimum Maximum 4.86 15.40 3.89 21.00 5.92 5.51 3.89 40 to 49 0 df 50 to 59 0 25.50 23.65 25.50 Sig. (2-tailed

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How do I know when there are equal variances and what exactly does this mean? thank you. 

Question 8
The following output was generated to explore the contrasts specified by the researchers:
Descriptives
Depression
18 to 29
30 to 39
40 to 49
50 to 59
Total
Depression
Levene
Statistic
2.764
Depression
Test of Homogeneity of Variances
N
Between Groups
Within Groups
Total
Depression
Oooo
20
20
Mean
9.7850
12.2365
20 14.4460
20 15.6450
80
13.0281
df1
3
Sum of
Squares
df2
Std. Deviation Std. Error
2.96074 .66204
4.05418 .90654
5.37922 1.20283
1.16958
5.23052
4.96634
.55525
400.059
1548.437
1948.496
76
ANOVA
df
O No, the appropriate p-value is < .05
Sig.
O No, the appropriate p-value is > .05
Assume equal variances
1
Does not assume equal 1
variances
.052
O Yes, the appropriate p-value is > .05
Yes, the appropriate p-value is < .05
3
76
79
Contrast
Contrast
Mean Square
133.353
20.374
95% Confidence Interval for
Mean
Lower Bound
8.3993
10.3391
11.9284
13.1970
11.9229
18 to 29
1
Contrast Tests
Value of
Contrast
Contrast Coefficients
F
6.545
-2.4515
-2.4515
Based on the output provided, can we assume equal variances?
Upper Bound
11.1707
14.1339
16.9636
18.0930
14.1333
Std. Error
1.42738
30 to 39
-1
1.12255
Sig.
.001
AgeGroup
40 to 49
0
t
-1.717
Minimum Maximum
4.86
15.40
3.89
21.00
5.92
25.50
23.65
5.51
3.89
25.50
-2.184
df
50 to 59
0
76
34.778
Sig. (2-tailed)
.090
.036
Transcribed Image Text:Question 8 The following output was generated to explore the contrasts specified by the researchers: Descriptives Depression 18 to 29 30 to 39 40 to 49 50 to 59 Total Depression Levene Statistic 2.764 Depression Test of Homogeneity of Variances N Between Groups Within Groups Total Depression Oooo 20 20 Mean 9.7850 12.2365 20 14.4460 20 15.6450 80 13.0281 df1 3 Sum of Squares df2 Std. Deviation Std. Error 2.96074 .66204 4.05418 .90654 5.37922 1.20283 1.16958 5.23052 4.96634 .55525 400.059 1548.437 1948.496 76 ANOVA df O No, the appropriate p-value is < .05 Sig. O No, the appropriate p-value is > .05 Assume equal variances 1 Does not assume equal 1 variances .052 O Yes, the appropriate p-value is > .05 Yes, the appropriate p-value is < .05 3 76 79 Contrast Contrast Mean Square 133.353 20.374 95% Confidence Interval for Mean Lower Bound 8.3993 10.3391 11.9284 13.1970 11.9229 18 to 29 1 Contrast Tests Value of Contrast Contrast Coefficients F 6.545 -2.4515 -2.4515 Based on the output provided, can we assume equal variances? Upper Bound 11.1707 14.1339 16.9636 18.0930 14.1333 Std. Error 1.42738 30 to 39 -1 1.12255 Sig. .001 AgeGroup 40 to 49 0 t -1.717 Minimum Maximum 4.86 15.40 3.89 21.00 5.92 25.50 23.65 5.51 3.89 25.50 -2.184 df 50 to 59 0 76 34.778 Sig. (2-tailed) .090 .036
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