step function - RDocumentation (2024)

Description

Select a formula-based model by AIC.

Usage

step(object, scope, scale = 0, direction = c("both", "backward", "forward"), trace = 1, keep = NULL, steps = 1000, k = 2, …)

Arguments

object

an object representing a model of an appropriate class (mainly "lm" and "glm"). This is used as the initial model in the stepwise search.

scope

defines the range of models examined in the stepwise search. This should be either a single formula, or a list containing components upper and lower, both formulae. See the details for how to specify the formulae and how they are used.

scale

used in the definition of the AIC statistic for selecting the models, currently only for lm, aov and glm models. The default value, 0, indicates the scale should be estimated: see extractAIC.

direction

the mode of stepwise search, can be one of "both", "backward", or "forward", with a default of "both". If the scope argument is missing the default for direction is "backward". Values can be abbreviated.

trace

if positive, information is printed during the running of step. Larger values may give more detailed information.

keep

a filter function whose input is a fitted model object and the associated AIC statistic, and whose output is arbitrary. Typically keep will select a subset of the components of the object and return them. The default is not to keep anything.

steps

the maximum number of steps to be considered. The default is 1000 (essentially as many as required). It is typically used to stop the process early.

k

the multiple of the number of degrees of freedom used for the penalty. Only k = 2 gives the genuine AIC: k = log(n) is sometimes referred to as BIC or SBC.

any additional arguments to extractAIC.

Value

the stepwise-selected model is returned, with up to two additional components. There is an "anova" component corresponding to the steps taken in the search, as well as a "keep" component if the keep= argument was supplied in the call. The "Resid. Dev" column of the analysis of deviance table refers to a constant minus twice the maximized log likelihood: it will be a deviance only in cases where a saturated model is well-defined (thus excluding lm, aov and survreg fits, for example).

Warning

The model fitting must apply the models to the same dataset. This may be a problem if there are missing values and R's default of na.action = na.omit is used. We suggest you remove the missing values first.

Calls to the function nobs are used to check that the number of observations involved in the fitting process remains unchanged.

Details

step uses add1 and drop1 repeatedly; it will work for any method for which they work, and that is determined by having a valid method for extractAIC. When the additive constant can be chosen so that AIC is equal to Mallows' \(C_p\), this is done and the tables are labelled appropriately.

The set of models searched is determined by the scope argument. The right-hand-side of its lower component is always included in the model, and right-hand-side of the model is included in the upper component. If scope is a single formula, it specifies the upper component, and the lower model is empty. If scope is missing, the initial model is used as the upper model.

Models specified by scope can be templates to update object as used by update.formula. So using . in a scope formula means ‘what is already there’, with .^2 indicating all interactions of existing terms.

There is a potential problem in using glm fits with a variable scale, as in that case the deviance is not simply related to the maximized log-likelihood. The "glm" method for function extractAIC makes the appropriate adjustment for a gaussian family, but may need to be amended for other cases. (The binomial and poisson families have fixed scale by default and do not correspond to a particular maximum-likelihood problem for variable scale.)

References

Hastie, T. J. and Pregibon, D. (1992) Generalized linear models. Chapter 6 of Statistical Models in S eds J. M. Chambers and T. J. Hastie, Wadsworth & Brooks/Cole.

Venables, W. N. and Ripley, B. D. (2002) Modern Applied Statistics with S. New York: Springer (4th ed).

See Also

stepAIC in MASS, add1, drop1

Examples

Run this code

# NOT RUN {## following on from example(lm)utils::example("lm", echo = FALSE)step(lm.D9)summary(lm1 <- lm(Fertility ~ ., data = swiss))slm1 <- step(lm1)summary(slm1)slm1$anova# }

Run the code above in your browser using DataLab

step function - RDocumentation (2024)

FAQs

What is the step function in R model? ›

The step() function in R Programming Language is used for stepwise variable selection in linear models. It automates the process of selecting a subset of variables from a larger set based on some criterion, such as AIC (Akaike Information Criterion) or BIC (Bayesian Information Criterion).

What is the step activation function? ›

The step activation function is a simple but effective activation function. It takes a single real number as input and outputs a 0 or 1, depending on whether the input is greater than or equal to a threshold value.

What package is the step function in R? ›

The default method of the generic function step applies the step function for lm models of the stats package.

What does a stepwise function do? ›

A step function has a constant value on given intervals, but the constant is different for each interval. The constant value on each interval creates the series of horizontal lines, and the fact that the constant is different for each interval creates the jumps in between each horizontal line segment.

What does a step function do? ›

Step Functions sends requests to other services, waits for the task to complete, and then continues to the next step in the workflow. They can be used easily for automated steps, such as executing a Lambda function.

What is the step formula function? ›

Basic form of the step function

The equation for the basic form of a step function is f ( x ) = ⌊ x ⌋ . In many cases, the brackets around the x represent the greatest integer function or floor function. The greatest integer function is a function that results in the integer part of the given real number.

Why do we need an activation function? ›

Activation functions are crucial for the proper functioning of neural networks in deep learning, necessary for tasks such as image classification and language translation. These functions play a key role in determining the accuracy of deep learning model outputs.

How do you explain activation function? ›

An Activation Function decides whether a neuron should be activated or not. This means that it will decide whether the neuron's input to the network is important or not in the process of prediction using simpler mathematical operations.

What is the difference of step function with threshold function? ›

Step Function

It takes an input value and returns binary output based on a defined threshold. The step function acts as a binary switch, if the input exceeds the threshold, it activates by outputting a value of 1, otherwise, it remains deactivated.

What is the step function in GLM? ›

The step function uses forward and backward stepwise regression to determine a final model. At each step, the function searches for terms to add to the model or remove from the model based on the value of the 'Criterion' name-value pair argument. The default value of 'Criterion' for a linear regression model is 'sse' .

What is the function of the package in R? ›

A package in R is simply a collection of functions and/or data which the author has decided to make available, and which has passed some specific tests about form and function by the CRAN network. Once a package has been made available at CRAN, any R user can install the package by using the function install.

What is an example of a step function in real life? ›

For example, if a letter has a weight between 0 and 50 grams, we require a 50-cent stamp. When the weight of the letter is between 50 and 100 grams, the postage amount increases to 70 cents. This illustrates a step increase, and this pattern continues as weight increases. Thus, this is an example of a step function.

What is the difference between a simple function and a step function? ›

A step function is a special case of a simple function, in which the sets Ek are intervals. For a simple function, the Ek can be any measurable sets. So, every step function is a simple function, but not vice versa.

Is a step function linear or nonlinear? ›

Every step function is a piecewise-linear function. But not every piecewise-linear function is a step function. In other words: the step function is one example of the family of piecewise-linear functions. A step function is not continous, a piecewise-linear function can be continuous.

What is the function of the step chart? ›

A step chart (also known as a stepped line graph) is useful when highlighting the magnitude of change (or the change that occur at irregular intervals). This chart is similar to a line chart, but with a line forming a series of steps between the data points.

What is the step function model of reliability growth? ›

In this model, when a failure mode is observed in testing and subsequently removed by system design enhancements, then the failure rate is reduced at a specific discreet point in time (not continuously, as in the Crow model). If the fix does not introduce new failure modes, reliability grows as a step function.

What is stepwise regression in R step function? ›

Stepwise regression is a powerful technique used to build predictive models by iteratively adding or removing variables based on statistical criteria. In R, this can be achieved using functions like step() or manually with forward and backward selection.

References

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