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- Linear_discriminant_analysis abstract "Linear discriminant analysis (LDA) is a generalization of Fisher's linear discriminant, a method used in statistics, pattern recognition and machine learning to find a linear combination of features that characterizes or separates two or more classes of objects or events. The resulting combination may be used as a linear classifier, or, more commonly, for dimensionality reduction before later classification.LDA is closely related to analysis of variance (ANOVA) and regression analysis, which also attempt to express one dependent variable as a linear combination of other features or measurements. However, ANOVA uses categorical independent variables and a continuous dependent variable, whereas discriminant analysis has continuous independent variables and a categorical dependent variable (i.e. the class label). Logistic regression and probit regression are more similar to LDA than ANOVA is, as they also explain a categorical variable by the values of continuous independent variables. These other methods are preferable in applications where it is not reasonable to assume that the independent variables are normally distributed, which is a fundamental assumption of the LDA method.LDA is also closely related to principal component analysis (PCA) and factor analysis in that they both look for linear combinations of variables which best explain the data. LDA explicitly attempts to model the difference between the classes of data. PCA on the other hand does not take into account any difference in class, and factor analysis builds the feature combinations based on differences rather than similarities. Discriminant analysis is also different from factor analysis in that it is not an interdependence technique: a distinction between independent variables and dependent variables (also called criterion variables) must be made.LDA works when the measurements made on independent variables for each observation are continuous quantities. When dealing with categorical independent variables, the equivalent technique is discriminant correspondence analysis.".
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- Linear_discriminant_analysis wikiPageWikiLink Sufficient_statistic.
- Linear_discriminant_analysis wikiPageWikiLink Survey_methodology.
- Linear_discriminant_analysis wikiPageWikiLink Test_set.
- Linear_discriminant_analysis wikiPageWikiLink Variance.
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- Linear_discriminant_analysis wikiPageWikiLink File:R._A._Fischer.jpg.
- Linear_discriminant_analysis wikiPageWikiLinkText "Fisher LDA".
- Linear_discriminant_analysis wikiPageWikiLinkText "Fisher's Discriminant Analysis".
- Linear_discriminant_analysis wikiPageWikiLinkText "Fisher's linear discriminator".
- Linear_discriminant_analysis wikiPageWikiLinkText "LDA".
- Linear_discriminant_analysis wikiPageWikiLinkText "Linear Discriminant Analysis (or Fisher's linear discriminant)".
- Linear_discriminant_analysis wikiPageWikiLinkText "Linear Discriminant Analysis".
- Linear_discriminant_analysis wikiPageWikiLinkText "Linear Discriminate Analysis".
- Linear_discriminant_analysis wikiPageWikiLinkText "Linear discriminant analysis".
- Linear_discriminant_analysis wikiPageWikiLinkText "Linear discriminant analysis#Marketing".
- Linear_discriminant_analysis wikiPageWikiLinkText "Linear discriminant analysis#Multiclass LDA".
- Linear_discriminant_analysis wikiPageWikiLinkText "Linear discriminant function".
- Linear_discriminant_analysis wikiPageWikiLinkText "Pairwise linear classifier".
- Linear_discriminant_analysis wikiPageWikiLinkText "discriminant analysis".
- Linear_discriminant_analysis wikiPageWikiLinkText "linear discriminant analysis".
- Linear_discriminant_analysis wikiPageWikiLinkText "linear discriminant".
- Linear_discriminant_analysis wikiPageWikiLinkText "linear discrimination".