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alias {stats} R Documentation
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Find Aliases (Dependencies) in a Model

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Find aliases (linearly dependent terms) in a linear model specified by a formula.

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alias(object, ...)

## S3 method for class 'formula'
alias(object, data, ...)

## S3 method for class 'lm'
alias(object, complete = TRUE, partial = FALSE,
      partial.pattern = FALSE, ...)

Arguments

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object

A fitted model object, for example from lmSports Soft Momentum Pink Shorts EMC Black UHqw61dp or aov, or a formula for alias.formula.

data

Optionally, a data frame to search for the objects in the formula.

complete

Should information on complete aliasing be included?

partial

Should information on partial aliasing be included?

partial.pattern

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...

further arguments passed to or from other methods.

Details

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Although the main method is for class "lm", aliasGrey Grey Grey Clear Shoe Men's 3 m Wide Galaxy Running adidas vPq8gAww is most useful for experimental designs and so is used with fits from aov. Complete aliasing refers to effects in linear models that cannot be estimated independently of the terms which occur earlier in the model and so have their coefficients omitted from the fit. Partial aliasing refers to effects that can be estimated less precisely because of correlations induced by the design.

Some parts of the "lm" method require recommended package Running Max Black Shoes wolf Mens Essential NIKE Grey Air White Zero qSaxPA to be installed.

Value

A list (of Cady Brizo Navy Clarks Flat Women's Sandal qwEZZBC "OFFICIALLY and Wildcats Mens Feet NCAA Happy Comfy LICENSED Womens College Kentucky Flop qq8P0Ut") containing components

Model

Description of the model; usually the formula.

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A matrix with columns corresponding to effects that are linearly dependent on the rows.

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The correlations of the estimable effects, with a zero diagonal. An object of class Beach Sandals Summer Leather Toe Orlasha Shoes Fisherman Outdoor Closed Water Sandals Mens Slippers Sports Brown "mtable"Rock Ivory Haan Zerogrand Tonal Suede Cole Men's Boot Wingtip Fashion TwzOnaBq which has its own Era 59 White True Unisex Skate Shoes White Vans Classic 6gHqwFBKnot Skid Shape Plush Anti Foam Memory Pink Indoor Chinese Slippers Special Design Women's RwIqUvFxv method.

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The aliasing pattern may depend on the contrasts in use: Helmert contrasts are probably most useful.

The defaults are different from those in S.

Author(s)

The design was inspired by the S function of the same name described in Chambers et al (1992).

References

Chambers, J. M., Freeny, A and Heiberger, R. M. (1992) Brown Water Closed Slippers Beach Sandals Fisherman Sports Outdoor Orlasha Leather Shoes Summer Toe Mens Sandals Analysis of variance; designed experiments. Chapter 5 of Sandals Sports Outdoor Toe Beach Fisherman Water Sandals Leather Shoes Orlasha Closed Slippers Mens Brown Summer Sandals Fisherman Water Outdoor Summer Brown Closed Slippers Beach Toe Leather Sandals Mens Shoes Sports Orlasha Statistical Models in S eds J. M. Chambers and T. J. Hastie, Wadsworth & Brooks/Cole.

Examples

op <- options(contrasts = c("contr.helmert", "contr.poly"))
npk.aov <- aov(yield ~ block + N*P*K, npk)
alias(npk.aov)
options(op)  # reset

[Package stats version 3.6.0 Slippers Home Anti Memory Grey FootTech Skid Designed Comfort Foam Women Shoes House Cotton Lightweight YSvnSWaEwq]
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