Assignment 3: t Tests and ANOVA NURS 8200 Independent t Test Exercises Part 1 How many women were employed versus not employed in the sample?
Assignment 3: t Tests and ANOVA NURS 8200 Independent t Test Exercises Part 1 How many women were employed versus not employed in the sample?
Assignment 3: t Tests and ANOVA NURS 8200
Independent t Test Exercises
Part 1
How many women were employed versus not employed in the sample?
A total 436 women were employed while 524 were not employed.
What is the total sample size?
The sample size is 960
What are the mean and standard deviation for the CES-D scores for each group?
The mean and standard deviation for CES-D scores are
Group Statistics
Currently employed?
Mean
Std. Deviation
CES-D Score
No
20.8965
12.46425
Yes
15.8239
10.13655
Interpret the Levene’s statistic. (Hint: Is the assumption of homogeneity of variance met?
The assumption of homogeneity of variance is met considering that the p-value is less than 0.05.
Are equal variances assumed or not assumed?) Why?
The equal variance is not assumed because the F-statistics is 23.615 which is significantly high.
What is the value of the t-statistic, number of degrees of freedom and the p-value?
t
df
Sig. (2-tailed)
CES-D Score
Equal variances assumed
6.825
958
.000
Equal variances not assumed
6.954
957.514
.000
Does the data support the hypothesis? Why or why not?
Yes, there is a significant difference in the levels of depression between the working women and those who are not working. The p-value is less than 0.05; therefore, the hypothesis is accepted.
Part II
What is the total sample size?
The sample size is 157
What are the mean and the standard deviation of the CES-D scores at wave 1 and wave 2?
Paired Samples Statistics
Mean
Std. Deviation
Pair 1
CES-D Score
18.5516
11.87462
CESD Score, Wave 1
17.8344
11.49908
What is the mean difference between the two time periods?
The mean diffwerence = 0.7172
What is the value of the t-statistic, number of degrees of freedom and the p-value(sig)?