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비모수 통계 검정×다중 회귀 분석×
분야연구 통계연구 통계
계열Process / pipelineProcess / pipeline
기원 연도19471801
창시자Henry Mann and Donald WhitneyCarl Friedrich Gauss
유형MethodMethod
원전Mann, 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 ↗Draper, N. R., & Smith, H. (1966). Applied Regression Analysis. John Wiley & Sons. link ↗
별칭rank-based tests, Mann-Whitney U, Kruskal-Wallis, distribution-freeMLR, multivariate regression, linear regression
관련34
요약Nonparametric (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.Multiple regression analysis is a statistical method for modeling the relationship between a continuous dependent variable and two or more independent variables (predictors). Originating from Gauss's early 19th-century work and formalized by Draper and Smith (1966), it estimates linear equations predicting outcomes from multiple predictors while accounting for confounding relationships, making it indispensable in epidemiology, economics, psychology, and clinical research.
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