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- Hat_matrix abstract "In statistics, the hat matrix, H, sometimes also called projection matrix, maps the vector of observed values to the vector of fitted values. It describes the influence each observed value has on each fitted value. The diagonal elements of the hat matrix are the leverages, which describe the influence each observed value has on the fitted value for that same observation.If the vector of observed values is denoted by y and the vector of fitted values by ŷ, As ŷ is usually pronounced "y-hat", the hat matrix is so named as it "puts a hat on y".Suppose that we wish to solve a linear model using linear least squares. The model can be written as where X is a matrix of explanatory variables (the design matrix), β is a vector of unknown parameters to be estimated, and ε is the error vector.".
- Hat_matrix wikiPageID "15180479".
- Hat_matrix wikiPageRevisionID "598734186".
- Hat_matrix hasPhotoCollection Hat_matrix.
- Hat_matrix subject Category:Matrices.
- Hat_matrix subject Category:Regression_analysis.
- Hat_matrix subject Category:Statistical_terminology.
- Hat_matrix type Abstraction100002137.
- Hat_matrix type Arrangement107938773.
- Hat_matrix type Array107939382.
- Hat_matrix type Group100031264.
- Hat_matrix type Matrices.
- Hat_matrix type Matrix108267640.
- Hat_matrix comment "In statistics, the hat matrix, H, sometimes also called projection matrix, maps the vector of observed values to the vector of fitted values. It describes the influence each observed value has on each fitted value.".
- Hat_matrix label "Hat matrix".
- Hat_matrix sameAs m.03hk_s8.
- Hat_matrix sameAs Q5680845.
- Hat_matrix sameAs Q5680845.
- Hat_matrix sameAs Hat_matrix.
- Hat_matrix wasDerivedFrom Hat_matrix?oldid=598734186.
- Hat_matrix isPrimaryTopicOf Hat_matrix.