Discover the essential generic function in R for extracting model information from lm
objects in R! This Q&A guide covers key functions like coef()
, summary()
, predict()
, anova()
, and more—helping you analyze, interpret, and visualize linear regression results efficiently. Perfect for R users mastering model diagnostics and reporting.
Keywords: R lm object, generic function in R, extract model information, linear regression in R
Table of Contents
What is a generic function in R?
A generic function in R is a function that dispatches different methods based on the class of its input (e.g., print()
, summary()
, plot()
).
What are the generic functions for extracting model information in R?
The value of lm() is a fitted model object; technically, a list of results of class “lm”. In R, there are several generic functions for extracting model information, diagnostics, and summaries. Information about the fitted model can then be displayed, extracted, plotted, and so on by using generic functions that orient themselves to objects of class “lm”. Here are some of the most commonly used generic functions
add1() | deviance() | formula() | predict() | step() |
alias() | drop1() | kappa() | print() | summary() |
anova() | effects() | labels() | proj() | vcov() |
coef() | family() | plot() | residuals() | model.matrix() |
confint() | AIC() | BIC() | logLik() | sigma() |
These generic functions provide a consistent way to interact with different model objects in R, making it easier to extract and analyze results. The exact available methods depend on the model class (e.g., lm
, glm
, lmerMod
). If a function does not work for a specific model, check its documentation (?function
) or use methods(class = class(model))
to see available methods.
What is anova(object_1, object_2)?
In R, anova(object_1, object_2)
is a generic function used to perform nested model comparison via an analysis of variance (ANOVA) test. It compares two fitted models (typically where one is a simpler version of the other) to determine if the more complex model provides a statistically significant improvement in fit.
It is used
- To check if additional predictors improve a model.
- To compare different random-effects structures (in mixed models).
- To test if interactions or polynomial terms are necessary.
The alternative to comparing models is
AIC()
orBIC()
: For non-nested models or model selection.drop1()
: Tests the effect of dropping one term at a time.
What is coef(object)?
The coefficient()
function extracts the regression coefficient (matrix). Its long form is coefficients(object)
.
What is the formula(object)?
A formula()
function extracts the model formula.
What is a plot(object)?
For lm
objects, produce four plots, showing residuals, fitted values, and some diagnostics.
What is predict(object, newdata = data.frame)?
In R, predict(object, newdata = data.frame)
is a generic function used to generate predictions from a fitted model (e.g., lm
, glm
, randomForest
) for new observations provided in newdata
.
When to use predict(object, newdata=data.frame)
?
- Making predictions on new data (e.g., forecasting, scoring test data).
- Plotting model fits (e.g.,
ggplot2
withgeom_smooth()
). - Evaluating model performance (e.g., ROC curves, RMSE).
The common pitfalls of using predict(object, newdata=data.frame)
are:
- Mismatched column names:
newdata
must have the same predictors as the model. - Missing factor levels: If predictors are factors,
newdata
must include all original levels. - Wrong
type
: For logistic models,type = "response"
gives probabilities;"class"
gives labels.
What is print(object)?
The print() function prints/displays a concise version of the object. Most often used implicitly.
What is residuals(object)?
The residuals()
function extracts the (matrix of) residuals, weighted as appropriate. The short form of residuals()
function is resid(object)
.
What is the step(object)?
The step()
function selects a suitable model by adding or dropping terms and preserving hierarchies. The model with the smallest value of AIC (Akaike’s Information Criterion) discovered in the stepwise search is returned.
What is a summary(object)?
The summary()
function prints a comprehensive summary of the results of the regression analysis.
What is the vcov(object)?
The vcov()
function returns the variance-covariance matrix of the main parameters of a fitted model object.