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Analysis of variance information


Analysis of variance (ANOVA) is a collection of statistical models and their associated estimation procedures (such as the "variation" among and between groups) used to analyze the differences among means. ANOVA was developed by the statistician Ronald Fisher. ANOVA is based on the law of total variance, where the observed variance in a particular variable is partitioned into components attributable to different sources of variation. In its simplest form, ANOVA provides a statistical test of whether two or more population means are equal, and therefore generalizes the t-test beyond two means. In other words, the ANOVA is used to test the difference between two or more means.

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Analysis of variance

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Analysis of variance (ANOVA) is a collection of statistical models and their associated estimation procedures (such as the "variation" among and between...

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Multivariate analysis of variance

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In statistics, multivariate analysis of variance (MANOVA) is a procedure for comparing multivariate sample means. As a multivariate procedure, it is used...

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Permutational analysis of variance

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multivariate analysis of variance (PERMANOVA), is a non-parametric multivariate statistical permutation test. PERMANOVA is used to compare groups of objects...

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Homoscedasticity and heteroscedasticity

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heteroscedasticity is a major concern in regression analysis and the analysis of variance, as it invalidates statistical tests of significance that assume that the modelling...

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Analysis of molecular variance

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Analysis of molecular variance (AMOVA), is a statistical model for the molecular algorithm in a single species, typically biological. The name and model...

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Analysis of covariance

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decomposes the variance in the DV into variance explained by the CV(s), variance explained by the categorical IV, and residual variance. Intuitively, ANCOVA...

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Factor analysis

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the point of view of exploratory analysis, the eigenvalues of PCA are inflated component loadings, i.e., contaminated with error variance. Whilst EFA...

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Variance

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In probability theory and statistics, variance is the expected value of the squared deviation from the mean of a random variable. The standard deviation...

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Squared deviations from the mean

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for analysis of variance involve the partitioning of a sum of SDM. An understanding of the computations involved is greatly enhanced by a study of the...

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Random effects model

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model, also called a variance components model, is a statistical model where the model parameters are random variables. It is a kind of hierarchical linear...

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Linear discriminant analysis

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related to analysis of variance (ANOVA) and regression analysis, which also attempt to express one dependent variable as a linear combination of other features...

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Principal component analysis

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square root of corresponding eigenvalues, that is, eigenvectors scaled up by the variances, are called loadings in PCA or in Factor analysis. XTX itself...

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List of statistics articles

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Analysis of categorical data Analysis of covariance Analysis of molecular variance Analysis of rhythmic variance Analysis of variance Analytic and enumerative...

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Bivariate analysis

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Bivariate analysis is one of the simplest forms of quantitative (statistical) analysis. It involves the analysis of two variables (often denoted as X...

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Multivariate statistics

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form of response-surface equations. Many different models are used in MVA, each with its own type of analysis: Multivariate analysis of variance (MANOVA)...

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Regression analysis

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Encyclopedia of Statistics. Free Press, v. 1, Evan J. Williams, "I. Regression," pp. 523–41. Julian C. Stanley, "II. Analysis of Variance," pp. 541–554...

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Mean squared error

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(Minimum-Variance Unbiased Estimator). Both analysis of variance and linear regression techniques estimate the MSE as part of the analysis and use the...

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Multivariate analysis of covariance

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Multiple analysis of variance (MANOVA) or multiple analysis of covariance (MANCOVA). Louisiana State University. [4] Bors, D. A. University of Toronto...

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Post hoc analysis

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when an analysis of variance (ANOVA) test is significant. This typically creates a multiple testing problem because each potential analysis is effectively...

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Law of total variance

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probability theory, the law of total variance or variance decomposition formula or conditional variance formulas or law of iterated variances also known as Eve's...

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