rr-formula

How can I replace one term in an R formula with two?


I have something along the lines of

y ~ x + z

And I would like to transform it to

y ~ x_part1 + x_part2 + z

More generally, I would like to have a function that takes a formula and returns that formula with all terms that match "^x$" replaced by "x_part1" and "x_part2". Here's my current solution, but it just feels so kludgey...

my.formula <- fruit ~ apple + banana
var.to.replace <- 'apple'
my.terms <- labels(terms(my.formula))
new.terms <- paste0('(', 
                    paste0(var.to.replace, 
                           c('_part1', '_part2'),
                           collapse = '+'),
                    ')')
new.formula <- reformulate(termlabels = gsub(pattern = var.to.replace,
                                             replacement = new.terms,
                                             x = my.terms),                                 
                           response = my.formula[[2]])

An additional caveat is that the input formula may be specified with interactions.

y ~ b*x + z

should output one of these (equivalent) formulae

y ~ b*(x_part1 + x_part2) + z
y ~ b + (x_part1 + x_part2) + b:(x_part1 + x_part2) + z
y ~ b + x_part1 + x_part2 + b:x_part1 + b:x_part2 + z

MrFlick has advocated the use of

substitute(y ~ b*x + z, list(x=quote(x_part1 + x_part2)))

but when I have stored the formula I want to modify in a variable, as in

my.formula <- fruit ~ x + banana

This approach seems to require a little more massaging:

substitute(my.formula, list(x=quote(apple_part1 + apple_part2)))
# my.formula

The necessary change to that approach was:

do.call(what = 'substitute',
        args = list(apple, list(x=quote(x_part1 + x_part2))))

But I can't figure out how to use this approach when both 'x' and c('x_part', 'x_part2') are stored in variables with names, e.g. var.to.replace and new.terms above.


Solution

  • How about working with the formula as a string? Many base R models like lm() accept a string formulas (and you can always use formula() otherwise). In this case, you can use something like gsub():

    f1 <- "y ~ x + z"
    f2 <- "y ~ b*x + z"
    
    gsub("x", "(x_part1 + x_part2)", f1)
    #> [1] "y ~ (x_part1 + x_part2) + z"
    
    gsub("x", "(x_part1 + x_part2)", f2)
    #> [1] "y ~ b*(x_part1 + x_part2) + z"
    

    For example, with mtcars data set, and say we want to replace mpg (x) with disp + hp (x_part1 + x_part2):

    f1 <- "qsec ~ mpg + cyl"
    f2 <- "qsec ~ wt*mpg + cyl"
    
    f1 <- gsub("mpg", "(disp + hp)", f1)
    f2 <- gsub("mpg", "(disp + hp)", f2)
    
    lm(f1, data = mtcars)
    #> 
    #> Call:
    #> lm(formula = f1, data = mtcars)
    #> 
    #> Coefficients:
    #> (Intercept)         disp           hp          cyl  
    #>    22.04376      0.01017     -0.02074     -0.56571
    
    lm(f2, data = mtcars)
    #> 
    #> Call:
    #> lm(formula = f2, data = mtcars)
    #> 
    #> Coefficients:
    #> (Intercept)           wt         disp           hp          cyl  
    #>   20.421318     1.554904     0.026837    -0.056141    -0.876182  
    #>     wt:disp        wt:hp  
    #>   -0.006895     0.011126