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Bayesian Correlation

Research Disciplines → Sport Sciences → ⚡ Bayesian Correlation

Bayesian Correlation

⚡ Advanced · Bayesian Statistics · Correlation

v1.0.2

Sport Sciences context — reports the relationship between two continuous variables using BF₁₀. Is the haftalik_antrenman_saat ↔ VO2_max relationship real or due to chance? Supports Pearson/Spearman/Kendall.

Pearson/Spearman/KendallBF₁₀%95 CrI(r)Posterior dağılım grafik

🎯 What is it for?

Reports BF₁₀ instead of the classical correlation p-value; particularly valuable in small samples and replication studies. In the Sport Sciences context, the predicted direction of the relationship (ρ ≈ 0.68) between haftalik_antrenman_saat and VO2_max is tested with the Bayes Factor.

📌 When is it used?

  • Two continuous variables — to seek direct evidence about direction and strength
  • When you want to directly test the “no correlation” hypothesis
  • As a replacement for a test that fails with p < .05 at small N

⚙ Assumptions

  1. Two continuous variables (haftalik_antrenman_saat, VO2_max).
  2. Linear relationship (Pearson) or monotonic (Spearman/Kendall).
  3. Outlier checking should be done beforehand with Bland-Altman/scatter.

📊 How to Run It in MerQur?

1
Data tab → upload.
2
Analysis → ⚡ Advanced → Bayesian Correlation.
3
X: haftalik_antrenman_saat, Y: VO2_max. Method: Pearson (for linear).
4
Prior scale (default stretched-beta, κ=1).
5
▶ Run → r̂, BF₁₀, posterior distribution, 95% CrI.

🧪 Örnek Veri — Sport Sciences

📂 samples/Ileri_Duzey_v102/spor-bilimleri/102_bayesian_korelasyon.xlsx · n = 100 · Hedef ρ = 0.68

⬇ Örnek dataset indir (.xlsx)

id haftalik_antrenman_saat VO2_max
1.0 15.724 55.247
2.0 23.518 70.112
3.0 19.303 56.925
4.0 13.565 39.681
5.0 11.837 56.645
… … …

📊 MerQur Output (summary)

Bayesian Correlation (Pearson)
================================
n : 100
r̂ : 0.680
95% CrI : [~0.58, ~0.75]
BF₁₀ : > 10 (strong evidence for H₁)

📄 APA 7 Interpretation

In the Sport Sciences field, a Bayesian Pearson correlation analysis between haftalik_antrenman_saat and VO2_max (N=100) yielded r ≈ 0.68. The Bayes Factor BF₁₀ > 10 provides strong evidence that the relationship exists.

⚠ Common Mistakes

  • Pearson is misleading for non-linear relationships — check the scatter plot, and use Spearman if needed.
  • Outliers inflate or mask the correlation.
  • Correlation ≠ causation (especially in observational studies).

📚 MerQur’a Atıf

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

Tüm atıf formatları →

📝 Üretim Notu — Bu sayfadaki örnek veri sentetik olarak üretilmiştir (sabit SEED=42, generator: samples/Ileri_Duzey_v102/_generate_v102_datasets.py). Sayfa içeriği Anthropic Claude desteği ile hazırlanmış, akademik doğruluk yazar tarafından kontrol edilmiştir.