# Exploring the Statistical Landscape: Analyzing the Impact of EBCT Therapy on Depression Levels

In this statistical exploration, we delve into the effectiveness of Emotion-Focused Brief Couples Therapy (EBCT) in alleviating depression levels. Through rigorous analyses, including paired sample t-tests, Mauchly tests, and repeated measure ANOVA, we uncover significant insights into the dynamics of depression at various treatment stages. The findings shed light on the nuanced impact of EBCT, offering valuable statistical perspectives in the realm of therapeutic interventions for mental health.

## 1. Paired Sample T-Test: Comparing Pre and Post-Treatment Depression Levels in the EBCT Group

### Problem Description:

The statistical analysis assignment aimed to evaluate the effectiveness of Emotion-Focused Brief Couples Therapy (EBCT) in reducing depression levels. Depression was measured using the WHO-5 scale before and after treatment.

Results: A paired sample t-test revealed a significant decrease in depression levels after EBCT. The average WHO-5 score increased from 7.34 (SD=3.86) before treatment to 15.82 (SD=4.01) after treatment (t(99)=-21.38, p<.001, d=-2.14).

Paired Samples T-Test

Measure 1 Measure 2 t df p Mean Difference SE Difference Cohen's d
WellbeingPre - WellbeingPost -21.383 99 < .001 -8.480 0.397 -2.138

Note. Student's t-test.

Descriptives

N Mean SD SE
WellbeingPre 100 7.340 3.862 0.386
WellbeingPost 100 15.820 4.006 0.401

Table 1: Paired samples T-Test

## 2. Mauchly Test: Testing Sphericity Assumption for BDI-II Levels in EBCT Group

### Problem Description:

The study examined the sphericity assumption for depression levels measured by BDI-II at pre-treatment, post-treatment, and 12 months after treatment.

Results: The Mauchly test indicated a violation of sphericity (p=.006), suggesting that the assumption did not hold.

Table 2: Test of Sphericity:

Test of Sphericity

Mauchly's W Approx. Χ² df p-value Greenhouse-Geisser ε Huynh-Feldt ε Lower Bound ε
RM Factor 1 0.902 10.123 2 0.006 0.911 0.927 0.500

## 4. Repeated Measure ANOVA: Examining Depression Levels at Different Timepoints for EBCT Group

### Problem Description:

The study investigated if there was a significant difference in depression levels (BDI-II) at pre-treatment, post-treatment, and 12 months after treatment.

Results: A repeated measure ANOVA showed a significant difference (F(2,198)=190.54, p<.001, η^2=0.66) in average depression scores at different timepoints.

Within Subjects Effects:

• RM Factor 1: F=190.54, p<.001, η^2=0.66

## 5. Holm’s Correction for Pairwise Comparisons: EBCT Group Depression Levels at Different Timepoints

### Problem Description:

Pairwise comparisons were conducted to examine significant differences in depression levels between pre-treatment, post-treatment, and 12 months after treatment in the EBCT group.

Results: Significant differences were found between:

• Pre- and post-treatment (p<.001)
• Pre- and 12 months after treatment (p<.001)
• Post-treatment and 12 months after treatment (p<.001)

Post Hoc Comparisons:

• Pre vs. Post: Mean Difference=13.120, p<.001
• Pre vs. 12 months: Mean Difference=8.630, p<.001
• Post vs. 12 months: Mean Difference=-4.490, p<.001

## 6. Independent Sample T-Test: Comparing Post-Treatment Depression Levels in EBCT and CBT Groups

### Problem Description:

The study aimed to compare post-treatment depression levels between Emotion-Focused Brief Couples Therapy (EBCT) and Cognitive-Behavioral Therapy (CBT) groups.

Results: An independent sample t-test showed a significant difference

Independent Samples T-Test

df p Mean Difference SE Difference Cohen's d
198 0.024 -1.920 0.846 -0.321

Note. Student's t-test.

Group Descriptives

Group N Mean SD SE
CBT 100 10.990 5.458 0.546
EBCT 100 12.910 6.467 0.647

Table 3: Independent sample T-Test

## 7. Effectiveness of EBCT in Reducing Depression Levels

The results indicate a significant reduction in depression for the EBCT group at post-treatment and 12 months after treatment. However, post-treatment depression levels for EBCT were higher than those for the CBT group, suggesting that EBCT may be less effective than standard CBT therapy. Further research is warranted to explore the comparative effectiveness of different therapeutic approaches.