About: Total sum of squares

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In statistical data analysis the total sum of squares (TSS or SST) is a quantity that appears as part of a standard way of presenting results of such analyses. For a set of observations, , it is defined as the sum over all squared differences between the observations and their overall mean .: For wide classes of linear models, the total sum of squares equals the explained sum of squares plus the residual sum of squares. For proof of this in the multivariate OLS case, see partitioning in the general OLS model.

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rdf:type	yago:WikicatLeastSquares yago:GeographicalArea108574314 yago:Location100027167 yago:Object100002684 yago:PhysicalEntity100001930 yago:PublicSquare108619620 yago:Region108630985 yago:YagoGeoEntity yago:YagoLegalActorGeo yago:YagoPermanentlyLocatedEntity yago:Tract108673395
rdfs:label	Totale Quadratsumme (de) Somma dei quadrati totale (it) Total sum of squares (en)
rdfs:comment	In der Statistik, und dort insbesondere in der Regressionsanalyse, ist die gesamte bzw. totale Quadratsumme (Summe der Quadrate der Totalen Abweichungen, kurz SQT bzw. englisch sum of squared total deviations, kurz SST oder total sum of squares, kurz TSS), auch als totale Abweichungsquadratsumme, oder Gesamtabweichungsquadratsumme bezeichnet und mit SAQy (für Summe der Abweichungsquadrate der y-Werte) bzw. SAQGesamt abgekürzt, die Quadratsumme der abhängigen Variablen. Sie wird berechnet als Summe der Quadrate der zentrierten Messwerte der abhängigen Variablen und kann als „Gesamtvariation“ bzw. „totale Variation der abhängigen Variablen “ interpretiert werden. Die totale Quadratsumme wird im Kontext der Quadratsummenzerlegung auch als zu erklärende Abweichungsquadratsumme bezeichnet. Über (de) In statistical data analysis the total sum of squares (TSS or SST) is a quantity that appears as part of a standard way of presenting results of such analyses. For a set of observations, , it is defined as the sum over all squared differences between the observations and their overall mean .: For wide classes of linear models, the total sum of squares equals the explained sum of squares plus the residual sum of squares. For proof of this in the multivariate OLS case, see partitioning in the general OLS model. (en)
dcterms:subject	Least squares
Wikipage page ID	2473449 (xsd:integer)
Wikipage revision ID	1121388227 (xsd:integer)
Link from a Wikipage to another Wikipage	Analysis of variance Matrix (mathematics) Mean Lack-of-fit sum of squares Statistics Linear discriminant analysis Line fitting Residual sum of squares Least squares Squared deviations from the mean Expected mean squares Explained sum of squares Multivariate analysis of variance Sum of squares (statistics)
sameAs	Total sum of squares Total sum of squares Total sum of squares Total sum of squares Total sum of squares Total sum of squares
dbp:wikiPageUsesTemplate	dbt:Reflist dbt:Short_description
has abstract	In der Statistik, und dort insbesondere in der Regressionsanalyse, ist die gesamte bzw. totale Quadratsumme (Summe der Quadrate der Totalen Abweichungen, kurz SQT bzw. englisch sum of squared total deviations, kurz SST oder total sum of squares, kurz TSS), auch als totale Abweichungsquadratsumme, oder Gesamtabweichungsquadratsumme bezeichnet und mit SAQy (für Summe der Abweichungsquadrate der y-Werte) bzw. SAQGesamt abgekürzt, die Quadratsumme der abhängigen Variablen. Sie wird berechnet als Summe der Quadrate der zentrierten Messwerte der abhängigen Variablen und kann als „Gesamtvariation“ bzw. „totale Variation der abhängigen Variablen “ interpretiert werden. Die totale Quadratsumme wird im Kontext der Quadratsummenzerlegung auch als zu erklärende Abweichungsquadratsumme bezeichnet. Über die genaue Bezeichnung und ihre Abkürzungen gibt es international keine Einigkeit. In der deutschsprachigen Literatur wird manchmal die deutsche Bezeichnung mit englischen Abkürzungen gebraucht. (de) In statistical data analysis the total sum of squares (TSS or SST) is a quantity that appears as part of a standard way of presenting results of such analyses. For a set of observations, , it is defined as the sum over all squared differences between the observations and their overall mean .: For wide classes of linear models, the total sum of squares equals the explained sum of squares plus the residual sum of squares. For proof of this in the multivariate OLS case, see partitioning in the general OLS model. In analysis of variance (ANOVA) the total sum of squares is the sum of the so-called "within-samples" sum of squares and "between-samples" sum of squares, i.e., partitioning of the sum of squares.In multivariate analysis of variance (MANOVA) the following equation applies where T is the total sum of squares and products (SSP) matrix, W is the within-samples SSP matrix and B is the between-samples SSP matrix.Similar terminology may also be used in linear discriminant analysis, where W and B are respectively referred to as the within-groups and between-groups SSP matrices. (en)
prov:wasDerivedFrom	wikipedia-en:Total_sum_of_squares?oldid=1121388227&ns=0
page length (characters) of wiki page	2100 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Total_sum_of_squares
is Link from a Wikipage to another Wikipage of	Pearson correlation coefficient Coefficient of determination Partial least squares regression Principal component regression TSS Partition of sums of squares Fraction of variance unexplained Grand mean Residual sum of squares Coefficient of multiple correlation Ordinary least squares SST Squared deviations from the mean Explained sum of squares List of statistics articles Performance effects Sum of squares Outline of regression analysis
is Wikipage disambiguates of	TSS
is foaf:primaryTopic of	wikipedia-en:Total_sum_of_squares

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