I want to create a function which will perform panel regression with 3-level dummies included.
Let's consider within model with time effects :
library(plm)
fit_panel_lr <- function(y, x) {
x[, length(x) + 1] <- y
#adding dummies
mtx <- matrix(0, nrow = nrow(x), ncol = 3)
mtx[cbind(seq_len(nrow(mtx)), 1 + (as.integer(unlist(x[, 2])) - min(as.integer(unlist(x[, 2])))) %% 3)] <- 1
colnames(mtx) <- paste0("dummy_", 1:3)
#converting to pdataframe and adding dummy variables
x <- pdata.frame(x)
x <- cbind(x, mtx)
#performing panel regression
varnames <- names(x)[3:(length(x))]
varnames <- varnames[!(varnames == names(y))]
form <- paste0(varnames, collapse = "+")
x_copy <- data.frame(x)
form <- as.formula(paste0(names(y), "~", form,'-1'))
params <- list(
formula = form, data = x_copy, model = "within",
effect = "time"
)
pglm_env <- list2env(params, envir = new.env())
model_plm <- do.call("plm", params, envir = pglm_env)
model_plm
}
However, if I use data :
data("EmplUK", package="plm")
dep_var<-EmplUK['capital']
df1<-EmplUK[-6]
In output I will get :
> fit_panel_lr(dep_var, df1)
Model Formula: capital ~ sector + emp + wage + output + dummy_1 + dummy_2 +
dummy_3 - 1
<environment: 0x000001ff7d92a3c8>
Coefficients:
sector emp wage output
-0.055179 0.328922 0.102250 -0.002912
How come that in formula dummies are considered and in coefficients are not ? Is there any rational explanation or I did something wrong ?
One point why you do not see the dummies on the output is because they are linear dependent to the other data after the fixed-effect time transformation. They are dropped so what is estimable is estimated and output.
Find below some (not readily executable) code picking up your example from above:
dat <- cbind(EmplUK, mtx) # mtx being the dummy matrix constructed in your question's code for this data set
pdat <- pdata.frame(dat)
rhs <- paste(c("emp", "wage", "output", "dummy_1", "dummy_2", "dummy_3"), collapse = "+")
form <- paste("capital ~" , rhs)
form <- formula(form)
mod <- plm(form, data = pdat, model = "within", effect = "time")
detect.lindep(mod$model) # before FE time transformation (original data) -> nothing offending
detect.lindep(model.matrix(mod)) # after FE time transformation -> dummies are offending
The help page for detect.lindep (?detect.lindep is included in package plm) has some more nice examples on linear dependence before and after FE transformation.
A suggestion: As for constructing dummy variables, I suggest to use R's factor with three levels and not have the dummy matrix constructed yourself. Using a factor is typically more convinient and less error prone. It is converted to the binary dummies (treatment style) by your typical estimation function using the model.frame/model.matrix framework.