TSS (True Skill Statistic)

🏃 Sport Sciences · TSS (True Skill Statistic)

TSS (True Skill Statistic)

Sınıflandırma · Performans

TSS (True Skill Statistic) is one of the statistical analyses applied automatically in MerQur. This page illustrates — on a Sport 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?

TSS (True Skill Statistic) automatically applies in the background all the assumption checks required for the relevant data type (normality, homogeneity of variance, etc.) and presents the results with a clear table + chart. Automatic interpretation to 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 Sport 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 TSS (True Skill Statistic).

3

Panel assignments (form fields in the program):

  • Target Column: elit_olur
  • Predictors: ['yetenek_endeks', 'stres_endeks', 'tahmin_skor']
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 — Sport 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 Sport Sciences:

Spor_Bilimleri/61_tss_type_distribution.xlsx

🎬 Scenario

We measure a classification model’s discrimination with TSS. For a fair measure under class imbalance, TSS is appropriate.

⚙️ Variable Selection

  • Dependent variable: elite_occurs
  • Predictor(s): ability_index
  • Predictor(s): stress_index

Data Preview (First 5 Rows)

Preview unavailable: [Errno 2] No such file or directory: ‘F:/MERQUR_CODE/merqur/english/datasets/Spor_Bilimleri/61_tss_type_distribution.xlsx’

📈 MerQur Output

TSS (TRUE SKILL STATISTIC) RESULT ───────────────────────────────────────────── TSS = 0.26 (acceptable) Sensitivity = 0.69 Specificity = 0.57 N = 200 binary outcome: elite_occurs predictors: ability_index, stress_index

💬 Interpretation

We measured a classification model’s (elite occurs/not) discrimination with TSS: TSS = 0.26 (sensitivity 0.69, specificity 0.57). TSS = sensitivity + specificity – 1; it excludes chance-expected success and gives a fair performance measure even with imbalanced classes. While accuracy can be biased (it anchors to the majority class), TSS evaluates the power to capture both positives and negatives together. In sports science it is robust for reporting the true discriminative power of talent/elite classification models.

⚠ 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 Sport Sciences file.

▶ TSS (True Skill Statistic) — video walkthrough

This section is part of the Sınıflandırma video (7 analyses in one video). The link below jumps straight to 1:36, where this analysis begins. Narration is in Turkish.

▶ Watch this analysis (1:36) 📺 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.