About: Partition of sums of squares

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The partition of sums of squares is a concept that permeates much of inferential statistics and descriptive statistics. More properly, it is the partitioning of sums of squared deviations or errors. Mathematically, the sum of squared deviations is an unscaled, or unadjusted measure of dispersion (also called variability). When scaled for the number of degrees of freedom, it estimates the variance, or spread of the observations about their mean value. Partitioning of the sum of squared deviations into various components allows the overall variability in a dataset to be ascribed to different types or sources of variability, with the relative importance of each being quantified by the size of each component of the overall sum of squares.

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rdfs:label	Scomposizione della devianza (it) Partition of sums of squares (en)
rdfs:comment	The partition of sums of squares is a concept that permeates much of inferential statistics and descriptive statistics. More properly, it is the partitioning of sums of squared deviations or errors. Mathematically, the sum of squared deviations is an unscaled, or unadjusted measure of dispersion (also called variability). When scaled for the number of degrees of freedom, it estimates the variance, or spread of the observations about their mean value. Partitioning of the sum of squared deviations into various components allows the overall variability in a dataset to be ascribed to different types or sources of variability, with the relative importance of each being quantified by the size of each component of the overall sum of squares. (en) La scomposizione della devianza è un'operazione utilizzata in statistica per calcolare, tra le altre cose, il coefficiente di determinazione e la statistica test ANOVA. Data una variabile numerica si chiama devianza la somma degli scarti quadratici dalla media campionaria ; questa quantità si può scomporre in una parte "spiegata" da una o più variabili e una parte "residua"; la somma di queste due parti è costante e corrisponde alla devianza totale. (it)
differentFrom	Variance decomposition
dcterms:subject	Analysis of variance Least squares
Wikipage page ID	3446092 (xsd:integer)
Wikipage revision ID	1119257750 (xsd:integer)
Link from a Wikipage to another Wikipage	Variance Degrees of freedom (statistics) Descriptive statistics Standard deviation Lack-of-fit sum of squares Orthogonality Orthonormal basis Total sum of squares Least squares Euclidean space Statistical dispersion Pythagorean theorem Residual sum of squares Hilbert space Analysis of variance Least squares Coefficient Orthogonal complement Orthogonal projection Mean squared error Statistical variability Expected mean squares Explained sum of squares Orthomodular lattice Linear regression model Squared deviations Inferential statistics Inner-product space
Link from a Wikipage to an external page	http://www.maths.qmul.ac.uk/~rab/DOEbook
sameAs	Partition of sums of squares Partition of sums of squares Partition of sums of squares Partition of sums of squares Partition of sums of squares
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has abstract	The partition of sums of squares is a concept that permeates much of inferential statistics and descriptive statistics. More properly, it is the partitioning of sums of squared deviations or errors. Mathematically, the sum of squared deviations is an unscaled, or unadjusted measure of dispersion (also called variability). When scaled for the number of degrees of freedom, it estimates the variance, or spread of the observations about their mean value. Partitioning of the sum of squared deviations into various components allows the overall variability in a dataset to be ascribed to different types or sources of variability, with the relative importance of each being quantified by the size of each component of the overall sum of squares. (en) La scomposizione della devianza è un'operazione utilizzata in statistica per calcolare, tra le altre cose, il coefficiente di determinazione e la statistica test ANOVA. Data una variabile numerica si chiama devianza la somma degli scarti quadratici dalla media campionaria ; questa quantità si può scomporre in una parte "spiegata" da una o più variabili e una parte "residua"; la somma di queste due parti è costante e corrisponde alla devianza totale. (it)
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is Link from a Wikipage to another Wikipage of	Two-way analysis of variance Contrast (statistics) Logistic regression F-test Omnibus test List of statistics articles Multivariate analysis of variance Sum of squares Variance partitioning Sum of squares (statistics) Partition of the sum of squares
is Wikipage redirect of	Variance partitioning Sum of squares (statistics) Partition of the sum of squares
is foaf:primaryTopic of	wikipedia-en:Partition_of_sums_of_squares

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