General linear model

GPTKB entity

Statements (49)
Predicate Object
gptkbp:instanceOf statistical analysis
gptkbp:analyzes Matrix algebra
gptkbp:assumes Linearity
Homoscedasticity
Independence of errors
Normality of errors
gptkbp:canBe Bayesian methods
Maximum likelihood estimation
gptkbp:extendsTo gptkb:Generalized_linear_model
Mixed-effects model
Multivariate linear model
gptkbp:firstDescribed gptkb:Ronald_Fisher
20th century
gptkbp:form Y = Xβ + ε
gptkbp:generalizes gptkb:t-test
gptkb:ANCOVA
gptkb:Multiple_linear_regression
ANOVA
F-test
gptkbp:hasApplication Predictive modeling
Experimental design
Survey analysis
gptkbp:hasComponent Error term
Linear predictor
https://www.w3.org/2000/01/rdf-schema#label General linear model
gptkbp:input Design matrix
Parameter vector
Response variable
gptkbp:limitation Assumes homoscedasticity
Assumes linearity
Assumes normality
Sensitive to outliers
gptkbp:output Confidence intervals
Residuals
Estimated coefficients
Fitted values
Statistical significance tests
gptkbp:parameterEstimatedBy gptkb:Ordinary_least_squares
gptkbp:relatedTo gptkb:Linear_algebra
gptkb:Regression_analysis
gptkb:Generalized_linear_model
Multivariate analysis
gptkbp:usedIn gptkb:Psychology
Biology
Statistics
Social sciences
Econometrics
gptkbp:bfsParent gptkb:Analysis_of_variance
gptkbp:bfsLayer 6