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Nonparametric Statistical Tests/Ushahidi
Rekodi ya ushahidi wa mbinu

Nonparametric Statistical Tests

Nonparametric (distribution-free) tests are statistical methods for hypothesis testing that do not assume data follow a specific probability distribution (e.g., normal), making them robust to departures from normality, outliers, and ordinal data. The Mann-Whitney U test (1947) and Kruskal-Wallis test (1952) extend hypothesis testing beyond the constraints of parametric assumptions. Essential in biology, medicine, psychology, and any field where data are non-normal, highly skewed, or measured on ordinal scales (rankings, ratings), nonparametric tests provide valid inference when parametric assumptions fail.

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Distribution-Free Hypothesis Testing
Rekodi ya mbinu ya kiajenda · process-pipeline / research-statistics
  • Mann, H. B., & Whitney, D. R. (1947). On a test of whether one of two random variables is stochastically larger than the other. Annals of Mathematical Statistics, 18(1), 50–60. · DOI 10.1214/aoms/1177730491
  • Kruskal, W. H., & Wallis, W. A. (1952). Use of ranks in one-criterion variance analysis. Journal of the American Statistical Association, 47(260), 583–621. · DOI 10.1080/01621459.1952.10483441
  • Conover, W. J. (1999). Practical Nonparametric Statistics (3rd ed.). John Wiley & Sons. · URL
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Same method familyAnalysis of Variance (ANOVA)machine-suggested · Relational suggestion, not evidence.Same method familyBayesian Statistical Inferencemachine-suggested · Relational suggestion, not evidence.Same method familyMultiple Regression Analysismachine-suggested · Relational suggestion, not evidence.

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