About: Lack-of-fit sum of squares

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In statistics, a sum of squares due to lack of fit, or more tersely a lack-of-fit sum of squares, is one of the components of a partition of the sum of squares of residuals in an analysis of variance, used in the numerator in an F-test of the null hypothesis that says that a proposed model fits well. The other component is the pure-error sum of squares.

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rdfs:label	Lack-of-fit sum of squares (en)
rdfs:comment	In statistics, a sum of squares due to lack of fit, or more tersely a lack-of-fit sum of squares, is one of the components of a partition of the sum of squares of residuals in an analysis of variance, used in the numerator in an F-test of the null hypothesis that says that a proposed model fits well. The other component is the pure-error sum of squares. (en)
dct:subject	Statistical hypothesis testing Design of experiments Analysis of variance Least squares
Wikipage page ID	18883979 (xsd:integer)
Wikipage revision ID	1106273198 (xsd:integer)
Link from a Wikipage to another Wikipage	Non-central F-distribution Statistical hypothesis testing Variance Degrees of freedom (statistics) Null hypothesis Analysis of variance Chi-squared distribution Likelihood-ratio test Statistics Design of experiments Errors and residuals in statistics Least squares Linear regression Cumulative distribution function Expected value F-distribution F-test Normal distribution Numerator Fraction of variance unexplained Goodness of fit Dependent variable Replication (statistics) Residual sum of squares Response variable Analysis of variance Least squares F distribution Independence (probability theory) Independent variable Confidence level Noncentral chi-squared distribution Statistical independence Sum of squares (statistics) Stochastic order
sameAs	Lack-of-fit sum of squares Lack-of-fit sum of squares Lack-of-fit sum of squares Lack-of-fit sum of squares
dbp:wikiPageUsesTemplate	dbt:Reflist
has abstract	In statistics, a sum of squares due to lack of fit, or more tersely a lack-of-fit sum of squares, is one of the components of a partition of the sum of squares of residuals in an analysis of variance, used in the numerator in an F-test of the null hypothesis that says that a proposed model fits well. The other component is the pure-error sum of squares. The pure-error sum of squares is the sum of squared deviations of each value of the dependent variable from the average value over all observations sharing its independent variable value(s). These are errors that could never be avoided by any predictive equation that assigned a predicted value for the dependent variable as a function of the value(s) of the independent variable(s). The remainder of the residual sum of squares is attributed to lack of fit of the model since it would be mathematically possible to eliminate these errors entirely. (en)
gold:hypernym	Components
prov:wasDerivedFrom	wikipedia-en:Lack-of-fit_sum_of_squares?oldid=1106273198&ns=0
page length (characters) of wiki page	9719 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Lack-of-fit_sum_of_squares
is rdfs:seeAlso of	Analysis of variance
is Link from a Wikipage to another Wikipage of	Regression validation Errors and residuals Total sum of squares Linear regression F-test Partition of sums of squares Fraction of variance unexplained Goodness of fit Residual sum of squares Lack-of-fit test Explained sum of squares List of statistics articles Ward's method Sum of squares Regression diagnostic Outline of regression analysis Sum of squares due to lack of fit Lack of fit sum of squares Pure error sum of squares
is Wikipage redirect of	Sum of squares due to lack of fit Lack of fit sum of squares Pure error sum of squares
is foaf:primaryTopic of	wikipedia-en:Lack-of-fit_sum_of_squares

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