Statements (49)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb: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 |
| 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
|
| https://www.w3.org/2000/01/rdf-schema#label |
General linear model
|