[R] lm type of sums of squares

2005-10-28 Thread Jarrett Byrnes
I'm curious, I realize there are methods for Type II and III sums of 
squares, and yet, when I've been constructing models with lm, I've 
noticed that position of the term of the model has not mattered in 
terms of its p-value.  Does lm use sequential Type I sums of squares, 
or something else?

Thanks!

-Jarrett

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Re: [R] lm type of sums of squares

2005-10-28 Thread John Fox
Dear Jarrett,

anova() gives sequential sums of squares (as ?anova.lm says). See
Anova() in the car package for something similar to Type II and III
sums of squares.

I hope this helps,
 John

On Fri, 28 Oct 2005 10:05:39 -0700
 Jarrett Byrnes [EMAIL PROTECTED] wrote:
 I'm curious, I realize there are methods for Type II and III sums of 
 squares, and yet, when I've been constructing models with lm, I've 
 noticed that position of the term of the model has not mattered in 
 terms of its p-value.  Does lm use sequential Type I sums of squares,
 
 or something else?
 
 Thanks!
 
 -Jarrett
 
 __
 R-help@stat.math.ethz.ch mailing list
 https://stat.ethz.ch/mailman/listinfo/r-help
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John Fox
Department of Sociology
McMaster University
Hamilton, Ontario, Canada
http://socserv.mcmaster.ca/jfox/

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Re: [R] lm type of sums of squares

2005-10-28 Thread Liaw, Andy
anova.lm() gives the sequential tests:

 set.seed(1)
 dat - data.frame(y=rnorm(10), x1=runif(10), x2=runif(10))
 anova(lm(y ~ x1 + x2, dat))
Analysis of Variance Table

Response: y
  Df Sum Sq Mean Sq F value Pr(F)
x1 1 1.1483  1.1483  2.0943 0.1911
x2 1 0.4972  0.4972  0.9068 0.3727
Residuals  7 3.8383  0.5483   
 anova(lm(y ~ x2 + x1, dat))
Analysis of Variance Table

Response: y
  Df Sum Sq Mean Sq F value Pr(F)
x2 1 0.5165  0.5165  0.9419 0.3641
x1 1 1.1291  1.1291  2.0592 0.1944
Residuals  7 3.8383  0.5483   

The SS, F-stat, etc. would be invariant to order only if the terms are
orthogonal.


Andy


 From: Jarrett Byrnes
 
 I'm curious, I realize there are methods for Type II and III sums of 
 squares, and yet, when I've been constructing models with lm, I've 
 noticed that position of the term of the model has not mattered in 
 terms of its p-value.  Does lm use sequential Type I sums of squares, 
 or something else?
 
 Thanks!
 
 -Jarrett
 
 __
 R-help@stat.math.ethz.ch mailing list
 https://stat.ethz.ch/mailman/listinfo/r-help
 PLEASE do read the posting guide! 
 http://www.R-project.org/posting-guide.html
 


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