In: Statistics and Probability
Postpartum Depression
In this assignment we will look at women with birth depression and how estrogen treatment can affect depression. The data is contained in the data depression footprint.
Prior to treatment, all women were assessed after the Edinburgh Postnatal Depression Scale (EPDS). High EPDS scores indicate severe depression. Patients were randomly assigned to either receive placebo (group = 0, n = 18) or estrogen (group = 1, n = 22) as treatment. The EPDS score was again measured after 3 months of treatment.
In this task you should choose whether to perform a regular two-sample T-test / paired t-test, or if you should also perform a non-parametric test (Wilcoxon-Mann-Whitney test / Wilcoxon pairing test) when we To check if treatment has an effect. To determine this, check the assumptions that are the basis for performing a t-test. For a two-sample t-test, make sure that the two samples are normally distributed and for a paired t-test, be sure to check that the difference between the paired data is normally distributed. Do not use log-transformation in this task, even if it is possible.
1- Give a descriptive description of the variables EPDS prior to treatment initiated for each of the treatment groups (placebo and estrogen). Write a brief summary of what you find. Is there a significant difference between the two treatment groups in EPDS score before receiving treatment?
2- Is there a significant difference between the two treatment groups in 3 months of treatment?
3- Just look at those who have received estrogen as treatment. Have they had a significant change in EPDS score from before treatment to after 3 months of treatment?
4- Now look at those who have received a placebo. Have they had a significant change in EPDS score from before treatment to after 3 months of treatment?
5- Check the change from before treatment to after 3 months of treatment for the placebo and estrogen groups. Perform a test and check whether estrogen has had an effect on the EPDS score.
SPPS FILE
BEFORE TREATMENT
18
22
17
15
20
27
28
25
16
26
19
22
16
21
20
22
21
25
21
27
15
24
15
17
20
18
28
21
18
27
19
20
21
23
24
25
28
23
22
23
AFTER TREATMENT
21
24
23
14
17
20
20
28
20
28
14
26
18
22
13
23
18
26
10
13
15
15
17
21
8
14
9
26
9
12
9
9
11
27
10
11
10
13
8
11
GROUP
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
Result:
The difference between before and after is calculated as variable change. The normality test for before score for two groups shows that data follows normal distribution. The normality test for after score for two groups shows that data follows normal distribution. The normality test for difference of score for two groups shows that data does not follows normal distribution.
Tests of Normality |
|||||||
group |
Kolmogorov-Smirnova |
Shapiro-Wilk |
|||||
Statistic |
df |
Sig. |
Statistic |
df |
Sig. |
||
before |
placebo |
0.133 |
18 |
0.200* |
0.958 |
18 |
0.570 |
estrogen |
0.093 |
22 |
0.200* |
0.963 |
22 |
0.563 |
|
after |
placebo |
0.097 |
18 |
0.200* |
0.958 |
18 |
0.563 |
estrogen |
0.197 |
22 |
0.027 |
0.801 |
22 |
0.001 |
|
change |
placebo |
0.230 |
18 |
0.013 |
0.912 |
18 |
0.094 |
estrogen |
0.245 |
22 |
0.001 |
0.879 |
22 |
0.012 |
|
*. This is a lower bound of the true significance. |
|||||||
a. Lilliefors Significance Correction |
Give a descriptive description of the variables EPDS prior to treatment initiated for each of the treatment groups (placebo and estrogen). Write a brief summary of what you find. Is there a significant difference between the two treatment groups in EPDS score before receiving treatment?
Group Statistics |
|||||
group |
N |
Mean |
Std. Deviation |
Std. Error Mean |
|
before |
placebo |
18 |
21.11 |
3.924 |
0.925 |
estrogen |
22 |
21.77 |
3.878 |
0.827 |
Independent Samples Test |
||||||||||
Levene's Test for Equality of Variances |
t-test for Equality of Means |
|||||||||
F |
Sig. |
t |
df |
Sig. (2-tailed) |
Mean Difference |
Std. Error Difference |
95% Confidence Interval of the Difference |
|||
Lower |
Upper |
|||||||||
before |
Equal variances assumed |
0.000 |
0.985 |
-0.534 |
38 |
0.596 |
-0.662 |
1.239 |
-3.170 |
1.847 |
Equal variances not assumed |
-0.533 |
36.275 |
0.597 |
-0.662 |
1.241 |
-3.177 |
1.854 |
There is no significant difference between the two treatment groups in EPDS score before receiving treatment, t=-0.534, P=0.596.
Is there a significant difference between the two treatment groups in 3 months of treatment?
Group Statistics |
|||||
group |
N |
Mean |
Std. Deviation |
Std. Error Mean |
|
after |
placebo |
18 |
20.83 |
4.630 |
1.091 |
estrogen |
22 |
13.09 |
5.380 |
1.147 |
Independent Samples Test |
||||||||||
Levene's Test for Equality of Variances |
t-test for Equality of Means |
|||||||||
F |
Sig. |
t |
df |
Sig. (2-tailed) |
Mean Difference |
Std. Error Difference |
95% Confidence Interval of the Difference |
|||
Lower |
Upper |
|||||||||
after |
Equal variances assumed |
0.048 |
0.828 |
4.816 |
38 |
0.000 |
7.742 |
1.608 |
4.488 |
10.997 |
Equal variances not assumed |
4.890 |
37.882 |
0.000 |
7.742 |
1.583 |
4.537 |
10.948 |
There is a significant difference between the two treatment groups in EPDS score after receiving treatment, t=4.816, P=0.000.
Just look at those who have received estrogen as treatment. Have
they had a significant change in EPDS score from before treatment
to after 3 months of treatment?
Paired Samples Statisticsa |
|||||
Mean |
N |
Std. Deviation |
Std. Error Mean |
||
Pair 1 |
before |
21.77 |
22 |
3.878 |
0.827 |
after |
13.09 |
22 |
5.380 |
1.147 |
|
a. group = estrogen |
Paired Samples Testa |
|||||||||
Paired Differences |
t |
df |
Sig. (2-tailed) |
||||||
Mean |
Std. Deviation |
Std. Error Mean |
95% Confidence Interval of the Difference |
||||||
Lower |
Upper |
||||||||
Pair 1 |
before - after |
8.682 |
7.253 |
1.546 |
5.466 |
11.898 |
5.614 |
21 |
0.000 |
a. group = estrogen |
|||||||||
There is a significant change in EPDS score from before treatment to after 3 months of treatment, t=5.614, P=0.000.
Now look at those who have received a placebo. Have they had a
significant change in EPDS score from before treatment to after 3
months of treatment?
Paired Samples Statisticsa |
|||||
Mean |
N |
Std. Deviation |
Std. Error Mean |
||
Pair 1 |
before |
21.11 |
18 |
3.924 |
0.925 |
after |
20.83 |
18 |
4.630 |
1.091 |
|
a. group = placebo |
Paired Samples Testa |
|||||||||
Paired Differences |
t |
df |
Sig. (2-tailed) |
||||||
Mean |
Std. Deviation |
Std. Error Mean |
95% Confidence Interval of the Difference |
||||||
Lower |
Upper |
||||||||
Pair 1 |
before - after |
0.278 |
4.240 |
0.999 |
-1.831 |
2.386 |
0.278 |
17 |
0.784 |
a. group = placebo |
|||||||||
There is no significant change in EPDS score from before treatment to after 3 months of treatment, t=0.278, P=0.784.
Check the change from before treatment to after 3 months of treatment for the placebo and estrogen groups. Perform a test and check whether estrogen has had an effect on the EPDS score.
Group Statistics |
|||||
group |
N |
Mean |
Std. Deviation |
Std. Error Mean |
|
change |
placebo |
18 |
0.2778 |
4.23994 |
0.99936 |
estrogen |
22 |
8.6818 |
7.25315 |
1.54638 |
Independent Samples Test |
||||||||||
Levene's Test for Equality of Variances |
t-test for Equality of Means |
|||||||||
F |
Sig. |
t |
df |
Sig. (2-tailed) |
Mean Difference |
Std. Error Difference |
95% Confidence Interval of the Difference |
|||
Lower |
Upper |
|||||||||
change |
Equal variances assumed |
3.879 |
0.056 |
-4.340 |
38 |
0.000 |
-8.40404 |
1.93624 |
-12.32375 |
-4.48433 |
Equal variances not assumed |
-4.564 |
34.723 |
0.000 |
-8.40404 |
1.84120 |
-12.14294 |
-4.66514 |
The change from before treatment to after 3 months of treatment for the placebo and estrogen groups is significant, t=-4.340, P=0.000.