Spearman rank correlation coefficient

Spearman rank correlation coefficient

🎙 Thierry Ancelle 👥 25K 📅 March 29, 2016 ⏱ 13 min 👁 7K 📄 tutorial 🧭 2026-08-17
Available in: English (current) Français

Keywords

Spearmanrank correlationstatistical testExcelStata

Summary

This tutorial by Thierry Ancelle explains the Spearman rank correlation coefficient, a non-parametric measure of association between two variables. The video begins by contrasting it with the Pearson correlation coefficient and introduces the concept of ranking data. It demonstrates how to calculate ranks manually and using Excel’s RANK function, highlighting the issue of tied ranks and how different software handle them. The formula for Spearman’s rho is presented and applied to a worked example involving two laboratory techniques on 30 samples, yielding a coefficient of 0.81. The video then explains how to test the significance of the coefficient using a t-test with n-2 degrees of freedom, showing the calculation and interpretation of the p-value. It also provides the Stata syntax for obtaining the coefficient and p-value directly. The tutorial discusses the assumptions and limitations of the Spearman test, emphasizing that it does not require normality or homoscedasticity, making it a robust alternative to Pearson when these conditions are violated. A graphical example illustrates how outliers can inflate Pearson’s coefficient while Spearman correctly indicates no correlation. The video concludes with a reminder that correlation does not imply causation, using the classic example of ice cream sales and sunburns.

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Critical Evaluation

Value of the Information & Strength of the Argument

The video provides valuable information by clearly explaining the Spearman rank correlation coefficient, its calculation, and its application. The argumentation is solid, as the presenter walks through a worked example step-by-step, demonstrating the formula and the statistical test. The explanation of the advantages of Spearman over Pearson, particularly in the presence of outliers or non-normal data, is well-illustrated with a graphical example. The presentation is logical and builds on previous knowledge, making it accessible for learners. However, the video does not delve into the mathematical derivation of the standard error or the t-statistic, which might be a limitation for advanced viewers. Overall, the value lies in its practical approach and clear demonstration of the method.

Scientific Rigor, Source Quality, Title Accuracy

The scientific rigor is high for a tutorial: the presenter follows standard statistical methodology and provides accurate formulas and interpretations. The quality of sources is limited, as no external references are cited; the content is based on the presenter’s expertise. The title accurately reflects the content, which is entirely focused on the Spearman rank correlation coefficient. The video includes a brief sponsorship segment, but it does not affect the scientific content. The tutorial is well-structured and pedagogically sound, though it could benefit from citing textbooks or peer-reviewed articles for further reading.

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Title / Content Match

The title accurately reflects the content, which focuses exclusively on the Spearman rank correlation coefficient.

Quality & Reliability

8/10

The video is a clear, structured tutorial on the Spearman rank correlation coefficient, covering calculation, hypothesis testing, interpretation, and limitations. The presenter demonstrates the method with a worked example and provides practical guidance for implementation in Excel and Stata. The content is accurate and aligns with standard statistical practice, though it lacks formal citations and references to external sources.

Key Moments

Cited Sources

  • Formation Epiter — List of complete courses in Statistics and Epidemiology by the author.
  • QCM Quizz — Exercises, MCQs, and quizzes for practice.

Concurring Sources

Contribution & Novelties

The video provides a clear and practical tutorial on the Spearman rank correlation coefficient, emphasizing its advantages over Pearson in non-normal data. It offers step-by-step calculations and software implementations, making it useful for students and practitioners. The discussion of tied ranks and their handling in different software is a valuable nuance.

Pour aller plus loin :

91 words

Radar Profile

The radar profile shows high scores in quality and reliability, with moderate scores in quantity and technical level. This indicates a focused, accurate tutorial that may not cover advanced topics but is solid for its intended audience.

Reliability 8/10

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