Effect Size Calculation

🎓 Education Sciences · Effect Size Calculation

Effect Size Calculation

Korelasyon · Etki

Effect Size Calculation is one of the statistical analyses applied automatically in MerQur. This page illustrates — on a Education Sciences sample dataset — how the analysis is run, what the MerQur output looks like, and how the result is reported in APA 7 format.

🎯 What is it for?

Effect Size Calculation automatically performs all required assumption checks (normality, homogeneity of variance, etc.) for the relevant data type in the background and presents the results with a clear table + chart. Automatic interpretation in the APA 7 standard, effect sizes such as Cohen’s d/η²/R², and 95% confidence intervals are reported.

📌 When is it used?

  • Statistical analysis of measurements in the Education Sciences domain
  • To produce APA 7-compatible result tables for academic publications
  • Hypothesis testing and decision-making processes
  • Undergraduate / master’s / PhD theses after the appropriate method has been selected

📐 Assumptions

  • Appropriate scale — Variables must be at the measurement level required by the analysis (nominal/ordinal/interval/ratio)
  • Independent observations — Observations must come from individuals independent of one another
  • Sufficient sample size — The minimum n requirement for the analysis must be met
  • Outlier check — Outliers must be detected and evaluated

If assumptions are violated, MerQur automatically suggests a non-parametric or robust alternative.

🛠 How to do it in MerQur

1

Load the data. Select the sample file from File → Open. MerQur auto-detects column types.

2

Select the analysis. From the left side select Effect Size Calculation.

3

Panel assignments (form fields in the program):

  • analysis_type: cohen_d
  • Column 1: ogrenci_id
  • Column 2: materyal
4

Optional settings. Effect size ✓ · 95% confidence interval ✓ · Assumption checks (automatic).

5

▶ Run — click the button. Results are produced automatically as a table + chart.

6

📄 Export to Word. APA 7-formatted report with italic statistical symbols.

📊 Sample Dataset — Education Sciences

ℹ Note: The scenario, MerQur output and interpretation below were produced by actually running the real example dataset in MerQur. Numeric results on your own data will differ; the goal is to show how the analysis is set up and interpreted end-to-end.

🎬 Example File

This analysis is demonstrated on the following example dataset for Education Sciences:

Egitim_Bilimleri/35_effect_size_material.xlsx

🎬 Scenario

Suppose we want to know not just whether instructional material matters, but how large its impact is. Sixty students learned with one of two materials, a printed book or an instructional video, and we recorded each student’s test_score afterward. A simple significance test tells us whether the groups differ, but reviewers increasingly want a standardized measure of the practical magnitude. We use an effect size analysis because it quantifies the standardized difference between the book and video groups, for example Cohen’s d, so we can communicate how meaningful the gap really is.

⚙️ Variable Selection

  • Grouping factor: material (book, video)
  • Outcome variable: test_score

Data Preview (First 5 Rows)

student_idmaterialtest_score
1book72.0
2book73.1
3book70.0
4book82.1
5book65.1

n = 60 · Columns: student_id, material, test_score

📈 MerQur Output

EFFECT SIZE CALCULATION RESULT ───────────────────────────────────────────── Cohen’s d = -0.60 (moderate effect) Test-score difference between two material groups

💬 Interpretation

We measured the test-score difference between two teaching materials not just as “is it significant” but “how large is it” — as an effect size. Cohen’s d = -0.60 is a moderate effect. P-values inflate with sample size, but effect size is sample-independent and gives the practical importance of the real difference. In education, “how much difference does this material/method make” is critical for resource-allocation decisions; a moderate effect of d = 0.60 says the intervention provides a notable but not miraculous benefit. Reporting effect size is standard in publications.

⚠ Common Mistakes

  • Misidentifying the data type (e.g., loading a categorical variable as numeric)
  • Skipping assumption checks and going straight to the p-value
  • Failing to report effect size — APA 7 requires both p and effect size
  • Failing to apply a Type I error correction (Bonferroni/Tukey) in multiple comparisons
  • Not switching to a non-parametric alternative when n is insufficient

📹 Video Walkthrough

Watch the video below for an end-to-end walkthrough of this analysis on a Education Sciences file.

▶ Effect Size Calculation — video walkthrough

This section is part of the İlişki ve Korelasyon video (6 analyses in one video). The link below jumps straight to 4:07, where this analysis begins. Narration is in Turkish.

▶ Watch this analysis (4:07) 📺 All videos

📚 If You Used This Analysis, Cite MerQur

If you performed this analysis using MerQur in a scientific study, please use the citation below as part of your academic citation obligations (APA 7):

Örücü, Ö. K. (2026). MerQur: Integrated Academic Data Analysis & Reporting Platform [Computer software] (Version 1.0.0). https://doi.org/10.53463/merqur.2026001

For BibTeX, RIS, EndNote and the English citation form: all citation formats →

Sources:
  1. American Psychological Association. (2020). Publication manual of the American Psychological Association (7th ed.).
  2. Field, A. (2018). Discovering statistics using IBM SPSS Statistics (5th ed.). Sage.
  3. Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Lawrence Erlbaum.