Partition of sums of squares (original) (raw)
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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| dbo: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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| 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) |
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