ols_step_backward_adj_r2 function

Stepwise Adjusted R-Squared backward regression

Build regression model from a set of candidate predictor variables by removing predictors based on adjusted r-squared, in a stepwise manner until there is no variable left to remove any more.

ols_step_backward_adj_r2(model, ...)

## Default S3 method:
ols_step_backward_adj_r2(
  model,
  include = NULL,
  exclude = NULL,
  progress = FALSE,
  details = FALSE,
  ...
)

## S3 method for class 'ols_step_backward_adj_r2'
plot(x, print_plot = TRUE, details = TRUE, digits = 3, ...)

Arguments

• model: An object of class lm; the model should include all candidate predictor variables.
• ...: Other arguments.
• include: Character or numeric vector; variables to be included in selection process.
• exclude: Character or numeric vector; variables to be excluded from selection process.
• progress: Logical; if TRUE, will display variable selection progress.
• details: Logical; if TRUE, will print the regression result at each step.
• x: An object of class ols_step_backward_*.
• print_plot: logical; if TRUE, prints the plot else returns a plot object.
• digits: Number of decimal places to display.

Returns

List containing the following components:

• model: final model; an object of class lm

• metrics: selection metrics

• others: list; info used for plotting and printing

Examples

# stepwise backward regression
model <- lm(y ~ ., data = surgical)
ols_step_backward_adj_r2(model)

# final model and selection metrics
k <- ols_step_backward_aic(model)
k$metrics
k$model

# include or exclude variable
# force variables to be included in the selection process
ols_step_backward_adj_r2(model, include = c("alc_mod", "gender"))

# use index of variable instead of name
ols_step_backward_adj_r2(model, include = c(7, 6))

# force variable to be excluded from selection process
ols_step_backward_adj_r2(model, exclude = c("alc_heavy", "bcs"))

# use index of variable instead of name
ols_step_backward_adj_r2(model, exclude = c(8, 1))

References

Venables, W. N. and Ripley, B. D. (2002) Modern Applied Statistics with S. Fourth edition. Springer.

See Also

Other backward selection procedures: ols_step_backward_aic(), ols_step_backward_p(), ols_step_backward_r2(), ols_step_backward_sbc(), ols_step_backward_sbic()