T-test report
t-test project: psy3020
Research Study Overview The goal of this research study is determine if CBT (cognitive behavior therapy) is effective in treating with people with
depression.
Purpose The purpose of this study is to show that 6 CBT treatments over a 12 week time period can reduce the symptoms of
depression in adults with physician diagnosed clinical depression.
For this study, researchers had a participant pool included 112 people who self-selected to be involved in a study for the
treatment of depression. No compensation was provided to participants. All measures and treatment were free to all
participants. To be considered for the study, participants must meet the inclusion criteria:
Participants were suffering from physician diagnosed (e.g. DSM-IV, ICD-9) clinical depression.
If participants were receiving pharmacological treatment for their depression, they had to be on
pharmacological treatment for at least 4 weeks prior to study.
Participants had to have current episodes of depression lasting at least 6 months.
Participants could not be currently involved in another psychological treatment.
A sample of 40 participants (22 females, and 18 males) was randomly selected from the pool for this study. The age of
the participants range from 22 – 39 years with an average of 30 years old. Participants reported current episodes of
depression lasting a mean of 17.47 months (SD ¼ 28:75).
One month prior to CBT treatment, each participant was given a measure of depression. One month after CBT
treatment, the depression measure was re-administered to all participants.
The depression measure is scaled from 1– 20 with higher scores indicating more depression. Scores from 1-7 are
considered low depression, scores from 8 – 14 are considered moderate depression, and scores 15 and above are
considered severe depression.
Descriptive Statistics
The Descriptives below give us an overview of the data. The Descriptive Statistics table displays the means, standard deviations, and other statistics of the depression ratings before the CBT treatment (Pre) began, and after treatment (Post). Use the descriptive statistics and the histograms to describe the pre and post results.
Descriptive Statistics
Pre Post
Valid 40 40
Mean 13.125 9.850
Median 12.500 10.000
Mode ᵃ 11.000 8.000
Std. Deviation 3.510 1.994
Minimum 8.000 6.000
Maximum 19.000 14.000
25th percentile 10.000 8.000
50th percentile 12.500 10.000
75th percentile 16.250 11.000
Descriptive Statistics
Pre Post
ᵃ More than one mode exists, only the first is reported
Distribution Plots
Pre – Depression scores prior to CBT treatment
Post – Depression scores after CBT treatment
Paired or dependent samples t-test
The table displays the results of the t-test. It contains the t -test results, the degrees of freedom, the p-value of the t- test, and the effect size Cohen’s d. The plot shows the differences in the mean between the two time periods. Use the results determine if the null hypothesis is true.
Paired Samples T-Test
Measure 1 Measure 2 t df p Cohen's d
Pre - Post 6.974 39 < .001 1.103
Note. Student's t-test.
Descriptives Plots
Pre - Post