A researcher is interested in measuring the benefits of undergoing cosmetic surgery. He conducted an experiment where he measured depression (as measured by the BDI) among individuals who received plastic surgery and a control group that was on a wait list. Below are the results of a one-way ANOVA. Std. Error 95% Confidence Interval for Mean Upper Bound N Mean Std. Deviation Lower Bound Waiting List 145 25.10 15.914 1.322 22.48 27.71 Cosmetic Surgery 131 20.79 13.702 1.197 18.43 23.16 Total 276 23.05 15.033 .905 21.27 24.84 Test of Homogeneity of Variances Beck Depression Inventory Levene, Statistic df1 df2 Sig. 3.511 1 274 .062 ANOVA Beck Depression Inventory Sum of Squares df Mean Square Sig. Between Groups 1274.101 .017 60876.083 62150.185 Within Groups 274 Total a. Was the assumption of homogeneity of variance met? b. Calculate MS between с. Calculate MS within d. Calculate total degrees of freedom е. Calculate the F-ratio f. Was there a significant difference between groups? Do we reject or fail to reject the null hypothesis? The null hypothesis.

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A researcher is interested in measuring the benefits of undergoing cosmetic surgery. He
conducted an experiment where he measured depression (as measured by the BDI) among
individuals who received plastic surgery and a control group that was on a wait list. Below
are the results of a one-way ANOVA.
N
Mean
Std. Deviation
Std. Error
95% Confidence Interval for Mean
Lower Bound
Upper Bound
Waiting List
145
25.10
15.914
1.322
22.48
27.71
Cosmetic Surgery
131
20.79
13.702
1.197
18.43
23.16
Total
276
23.05
15.033
.905
21.27
24.84
Test of Homogeneity of Variances
Beck Depression Inventory
Levene, Statistic
df1
df2
Sig.
3.511
1
274
.062
ANOVA
Beck Depression Inventory
Sum of Squares
df
Mean Square
Sig.
Between Groups
1274.101
1
.017
Within Groups
60876.083
274
Total
62150.185
Was the assumption of homogeneity of variance met?
b. Calculate MS between
а.
c.
Calculate MS within
d. Calculate total degrees of freedom
e.
Calculate the F-ratio
Was there a significant difference between groups? Do we reject or fail to reject the null
hypothesis? The null hypothesis.
f.
Transcribed Image Text:A researcher is interested in measuring the benefits of undergoing cosmetic surgery. He conducted an experiment where he measured depression (as measured by the BDI) among individuals who received plastic surgery and a control group that was on a wait list. Below are the results of a one-way ANOVA. N Mean Std. Deviation Std. Error 95% Confidence Interval for Mean Lower Bound Upper Bound Waiting List 145 25.10 15.914 1.322 22.48 27.71 Cosmetic Surgery 131 20.79 13.702 1.197 18.43 23.16 Total 276 23.05 15.033 .905 21.27 24.84 Test of Homogeneity of Variances Beck Depression Inventory Levene, Statistic df1 df2 Sig. 3.511 1 274 .062 ANOVA Beck Depression Inventory Sum of Squares df Mean Square Sig. Between Groups 1274.101 1 .017 Within Groups 60876.083 274 Total 62150.185 Was the assumption of homogeneity of variance met? b. Calculate MS between а. c. Calculate MS within d. Calculate total degrees of freedom e. Calculate the F-ratio Was there a significant difference between groups? Do we reject or fail to reject the null hypothesis? The null hypothesis. f.
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