On 09/05/2024 8:09 a.m., Naresh Gurbuxani wrote:

On converting character variables to ordered factors, regression result
has strange names. Is it possible to obtain same variable names with
and without intercept?

You are getting polynomial contrasts with the ordered factor, because you have the default setting for options("contrasts"), i.e.

        unordered           ordered
"contr.treatment"      "contr.poly"

If you run

  options(contrasts = c("contr.treatment", "contr.treatment"))

you will get the same coefficient names in both cases.

By the way, the coefficients have different meanings, so it makes sense they will have different names. It's perhaps a little bit more of a problem that you *don't* get different variable names when an intercept is included or not, because those coefficients also have different meanings.

It may also be a little bit of a surprise that you go back to treatment contrasts when you leave out the intercept with the ordered factor, but then it almost never makes sense to leave out the intercept in a polynomial fit.

Duncan Murdoch



Thanks,
Naresh

mydf <- data.frame(date = seq.Date(as.Date("2024-01-01"),
as.Date("2024-03-31"), by = 1))
mydf[, "wday"] <- weekdays(mydf$date, abbreviate = TRUE)
mydf.work <- subset(mydf, !(wday %in% c("Sat", "Sun")))
mydf.weekend <- subset(mydf, wday %in% c("Sat", "Sun"))
mydf.work[, "volume"] <- round(rnorm(nrow(mydf.work), mean = 20, sd =
5))
mydf.weekend[, "volume"] <- round(rnorm(nrow(mydf.weekend), mean = 10,
sd = 5))
mydf <- rbind(mydf.work, mydf.weekend)

reg <- lm(volume ~ wday, data = mydf)
## Variable names as expected
coef(reg)
(Intercept) wdayMon wdaySat wdaySun wdayThu wdayTue
21.3846154 1.3076923 -12.0000000 -12.9230769 -1.9230769 -0.6923077
wdayWed
-1.6153846

reg <- lm(volume ~ wday - 1, data = mydf)
# Variable names as expected
coef(reg)
wdayFri wdayMon wdaySat wdaySun wdayThu wdayTue wdayWed
21.384615 22.692308 9.384615 8.461538 19.461538 20.692308 19.769231

# Ordered factors for weekday sequence
mydf$wday <- factor(mydf$wday, levels = c("Mon", "Tue", "Wed", "Thu",
"Fri", "Sat", "Sun"), ordered = TRUE)

reg <- lm(volume ~ wday - 1, data = mydf)
# Variable names as expected
coef(reg)
wdayMon wdayTue wdayWed wdayThu wdayFri wdaySat wdaySun
22.692308 20.692308 19.769231 19.461538 21.384615 9.384615 8.461538

reg <- lm(volume ~ wday, data = mydf)
# Strange variable names
coef(reg)
(Intercept) wday.L wday.Q wday.C wday^4 wday^5
17.406593 -12.036715 -4.968654 -1.852819 3.291477 4.263642
wday^6
2.591317

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