Explained sum of squares (original) (raw)
In statistics, the explained sum of squares (ESS), alternatively known as the model sum of squares or sum of squares due to regression (SSR – not to be confused with the residual sum of squares (RSS) or sum of squares of errors), is a quantity used in describing how well a model, often a regression model, represents the data being modelled. In particular, the explained sum of squares measures how much variation there is in the modelled values and this is compared to the total sum of squares (TSS), which measures how much variation there is in the observed data, and to the residual sum of squares, which measures the variation in the error between the observed data and modelled values.
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| dbo:abstract | In der Statistik ist die (durch die Regression) erklärte Quadratsumme, bzw. erklärte Abweichungsquadratsumme, kurz SQE für Summe der Quadrate der Erklärten Abweichungen (englisch sum of squared explained deviations, kurz SSE oder explained sum of squares, kurz ESS), Summe der Abweichungsquadrate der -Werte, kurz , bzw. SAQErklärt, oft auch Modellquadratsumme oder Regressionsquadratsumme, die Quadratsumme der Schätzwerte bzw. Regresswerte. Sie wird berechnet als Summe der Quadrate der zentrierten Schätzwerte und kann als „Gesamtvariation der Schätzwerte “ („erklärte Variation“) interpretiert werden. 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 statistics, the explained sum of squares (ESS), alternatively known as the model sum of squares or sum of squares due to regression (SSR – not to be confused with the residual sum of squares (RSS) or sum of squares of errors), is a quantity used in describing how well a model, often a regression model, represents the data being modelled. In particular, the explained sum of squares measures how much variation there is in the modelled values and this is compared to the total sum of squares (TSS), which measures how much variation there is in the observed data, and to the residual sum of squares, which measures the variation in the error between the observed data and modelled values. (en) У статистиці пояснена сума квадратів (англ. explained sum of squares (ESS)) — це величина використовувана для описання як добре модель, часто регресійна модель, представляє модельовані дані. (uk) |
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| rdfs:comment | In statistics, the explained sum of squares (ESS), alternatively known as the model sum of squares or sum of squares due to regression (SSR – not to be confused with the residual sum of squares (RSS) or sum of squares of errors), is a quantity used in describing how well a model, often a regression model, represents the data being modelled. In particular, the explained sum of squares measures how much variation there is in the modelled values and this is compared to the total sum of squares (TSS), which measures how much variation there is in the observed data, and to the residual sum of squares, which measures the variation in the error between the observed data and modelled values. (en) У статистиці пояснена сума квадратів (англ. explained sum of squares (ESS)) — це величина використовувана для описання як добре модель, часто регресійна модель, представляє модельовані дані. (uk) In der Statistik ist die (durch die Regression) erklärte Quadratsumme, bzw. erklärte Abweichungsquadratsumme, kurz SQE für Summe der Quadrate der Erklärten Abweichungen (englisch sum of squared explained deviations, kurz SSE oder explained sum of squares, kurz ESS), Summe der Abweichungsquadrate der -Werte, kurz , bzw. SAQErklärt, oft auch Modellquadratsumme oder Regressionsquadratsumme, die Quadratsumme der Schätzwerte bzw. Regresswerte. Sie wird berechnet als Summe der Quadrate der zentrierten Schätzwerte und kann als „Gesamtvariation der Schätzwerte “ („erklärte Variation“) interpretiert werden. Über die genaue Bezeichnung und ihre Abkürzungen gibt es international keine Einigkeit. In der deutschsprachigen Literatur wird manchmal die deutsche Bezeichnung mit englischen Abkürzungen gebr (de) |
| rdfs:label | Erklärte Quadratsumme (de) Explained sum of squares (en) Somma dei quadrati spiegata (it) Пояснена сума квадратів (uk) |
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