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रैखिक विभेदक विश्लेषण (LDA×के-निकटतम पड़ोसी (K-Nearest Neighbors)×बहुभिन्नरूपी प्रसरण विश्लेषण (MANOVA)×
क्षेत्रसांख्यिकीमशीन अधिगमसांख्यिकी
परिवारHypothesis testMachine learningHypothesis test
उद्भव वर्ष193619671932
प्रवर्तकRonald A. FisherCover, T.M. & Hart, P.E.Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.)
प्रकारParametric linear classifier / dimensionality reductionInstance-based (non-parametric) learningParametric multivariate mean comparison
मौलिक स्रोतFisher, R.A. (1936). The Use of Multiple Measurements in Taxonomic Problems. Annals of Eugenics, 7(2), 179–188. DOI ↗Cover, T.M. & Hart, P.E. (1967). Nearest Neighbor Pattern Classification. IEEE Transactions on Information Theory, 13(1), 21–27. DOI ↗Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574
उपनामLDA, Fisher's LDA, Fisher's linear discriminant, discriminant function analysisKNN, K-En Yakın Komşu (KNN), nearest neighbor classifier, instance-based learningMultivariate ANOVA, Çok Değişkenli ANOVA (MANOVA)
संबंधित755
सारांशLinear Discriminant Analysis (LDA) is a parametric supervised classification method that finds the linear combination of continuous predictors that best separates two or more predefined groups. Introduced by Ronald A. Fisher in his landmark 1936 paper on taxonomic measurements, it simultaneously serves as a classifier and a dimensionality-reduction tool, and can be understood as the classification-oriented counterpart of MANOVA.K-Nearest Neighbors (KNN), formalized by Cover and Hart in 1967, is a non-parametric, instance-based method that classifies or predicts a new observation by looking at the k closest examples in the training data. For classification it takes a majority vote among those neighbors; for regression it averages their values.MANOVA is a parametric hypothesis test that simultaneously compares group means across multiple continuous dependent variables, controlling the inflation of Type I error that would result from running separate ANOVAs. Key multivariate test statistics — Wilks' Lambda, Pillai's Trace, Hotelling-Lawley Trace, and Roy's Greatest Root — were developed between the 1930s and 1950s, with Wilks' Lambda formalised by Samuel Stanley Wilks in 1932.
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