Thank you so much both for the answer. I think I have a better handle on this now. Yes, Loblolly$Seed is an ordered factor, but I didn't realize that the default for ordered factor is contr.poly.

And then I was further confused because I didn't realize the coefficient names generated (not just the model) are different depending on whether there is an intercept term (even though they were both "contr.poly").

> lm(formula = height ~ age + Seed, data = Loblolly)

Call:
lm(formula = height ~ age + Seed, data = Loblolly)

Coefficients:
(Intercept) age Seed.L Seed.Q Seed.C Seed^4 -1.31240 2.59052 4.86941 0.87307 0.37894 -0.46853 Seed^5 Seed^6 Seed^7 Seed^8 Seed^9 Seed^10 0.55237 0.39659 -0.06507 0.35074 -0.83442 0.42085
    Seed^11      Seed^12      Seed^13
    0.53906     -0.29803     -0.77254

> lm(formula = height ~ age + Seed - 1, data = Loblolly)

Call:
lm(formula = height ~ age + Seed - 1, data = Loblolly)

Coefficients:
age Seed329 Seed327 Seed325 Seed307 Seed331 Seed311 Seed315 Seed321 2.5905 -3.3635 -3.0701 -1.7535 -2.3485 -2.6568 -2.0235 -1.3168 -2.4651
Seed319  Seed301  Seed323  Seed309  Seed303  Seed305
-0.7951  -0.4301  -0.1235   0.1049   0.4299   1.4382


This should have been obvious to me...


(for the sake of completeness) I think factor() doesn't change the "ordered-ness"

# as.factor(Loblolly$Seed) doesn't remove the ordered-ness
> str(Loblolly$Seed)
Ord.factor w/ 14 levels "329"<"327"<"325"<..: 10 10 10 10 10 10 13 13 13 13 ...
> str(as.factor(Loblolly$Seed))
Ord.factor w/ 14 levels "329"<"327"<"325"<..: 10 10 10 10 10 10 13 13 13 13 ...

# this works though
> str(factor(Loblolly$Seed, ordered=F))
Factor w/ 14 levels "329","327","325",..: 10 10 10 10 10 10 13 13 13 13 ...


Saiwing



On Mar 21, 2009, at 3:35 PM, John Fox wrote:

Dear Saiwing Yeung,

You appear to be using orthogonal-polynomial contrasts (generated by
contr.poly) for Seed, which suggests that Seed is either an ordered factor or that you've assigned these contrasts to it. Because Seed has 14 levels, you end up fitting an degree-13 polynomial. If Seed is indeed an ordered factor and you want to use contr.treatment instead then you could, e.g., set Loblolly$Seed <- as.factor(Loblolly$Seed). (If I'm right about Seed being an ordered factor, your solution worked because it changed Seed to a factor,
not because it used non-numeric level names.)

I hope this helps,
John

-----Original Message-----
From: r-help-boun...@r-project.org [mailto:r-help-boun...@r-project.org ]
On
Behalf Of Saiwing Yeung
Sent: March-21-09 5:02 PM
To: r-help@r-project.org
Subject: [R] factor with numeric names

Hi all,

I have a pretty basic question about categorical variables but I can't seem to be able to find answer so I am hoping someone here can help. I
found that if the factor names are all in numbers, fitting the model
in lm would return labels that are not very recognizable.

# Example: let's just assume that we want to fit this model
fit <- lm(height ~ age + Seed, data=Loblolly)

# See the category names are all mangled up here
fit


Call:
lm(formula = height ~ age + Seed, data = Loblolly)

Coefficients:
(Intercept)          age       Seed.L       Seed.Q       Seed.C
Seed^4
   -1.31240      2.59052      4.86941      0.87307      0.37894
-0.46853
     Seed^5       Seed^6       Seed^7       Seed^8       Seed^9
Seed^10
    0.55237      0.39659     -0.06507      0.35074     -0.83442
0.42085
    Seed^11      Seed^12      Seed^13
    0.53906     -0.29803     -0.77254



One possible solution I found is to rename the categorical variables

seed.str <- paste("S", Loblolly$Seed, sep="")
seed.str <- factor(seed.str)
fit <- lm(height ~ age + seed.str, data=Loblolly)
fit



Call:
lm(formula = height ~ age + seed.str, data = Loblolly)

Coefficients:
 (Intercept)           age  seed.strS303  seed.strS305  seed.strS307
     -0.4301        2.5905        0.8600        1.8683       -1.9183
seed.strS309  seed.strS311  seed.strS315  seed.strS319  seed.strS321
      0.5350       -1.5933       -0.8867       -0.3650       -2.0350
seed.strS323  seed.strS325  seed.strS327  seed.strS329  seed.strS331
      0.3067       -1.3233       -2.6400       -2.9333       -2.2267


Now it is actually possible to see which one is which, but is kind of
lame. Can someone point me to a more elegant solution? Thank you so
much.

Saiwing Yeung

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