Hello,

Thanks for the book list.
Some are added.

   - Faraway. 2006. Extending the Linear Model With R: Generalized Linear,
   Mixed Effects and Nonparametric Regression Models (Texts in Statistical
   Science).
   - Venables and Ripley. 2002. Modern Applied Statistics with S (4th ed.).
   (Chapter 7)
   - Crawley. 2005. Statistics: An Introduction using R. (Chapter 13)


On Mon, Oct 29, 2012 at 11:35 AM, Mark Leeds <marklee...@gmail.com> wrote:

> Hi Josh and Elaine: John Fox's CAR book ( the companion  to his applied
> regression text ) is really great for implementing GLMs in R. It also has a
> brief but quality discussion of the theory
> behind them. His text goes into more detail. Dobson's "Introduction to
> generalized linear models" is also decent. So is Faraway's text but I don't
> remember the title.
>
>
> Mark
>
>
>
>
>
>
>
>
> On Sun, Oct 28, 20
> 12 at 11:25 PM, Joshua Wiley <jwiley.ps...@gmail.com> wrote:
>
>> Hi Elaine,
>>
>> If you want identical models, you need to use the same family and then
>> the formula is the same.  Here is an example with a built in dataset:
>>
>>
>> ## these two are identical
>> > coef(lm(mpg ~ hp + log(wt), data = mtcars))
>>  (Intercept)           hp      log(wt)
>>  38.86095585  -0.02808968 -13.06001270
>> > coef(glm(mpg ~ hp + log(wt), data = mtcars, family = gaussian))
>>  (Intercept)           hp      log(wt)
>>  38.86095585  -0.02808968 -13.06001270
>>
>> ## not identical
>> > coef(glm(mpg ~ hp + wt, data = mtcars, family = gaussian(link = "log")))
>> (Intercept)          hp          wt
>>  3.88335638 -0.00173717 -0.20851238
>>
>> I show the log link because the poisson family default to a log link,
>> but that is equivalent to:
>> log(E(y)) = Xb
>>
>> where X is your design matrix (intercept, A, B, log(C), log(D) for
>> you).  In short the link function operates on the outcome, not the
>> predictors so even though the poisson family includes a log link, it
>> will not yield the same results as a log transformation of two of your
>> predictors.
>>
>> I do not have any online references off the top of my head, but it
>> seems like you may be well served by reading some about generalized
>> linear models and the concept of link functions.
>>
>> Cheers,
>>
>> Josh
>>
>>
>> On Sun, Oct 28, 2012 at 8:01 PM, Elaine Kuo <elaine.kuo...@gmail.com>
>> wrote:
>> >
>> > Hello list,
>> >
>> > I am running a regression using
>> >
>> > lm(Y~A+B+log(C)+log(D))
>> >
>> >
>> > Now, I would like to test if glm can produce similar results.
>> > So the code was revised as
>> >
>> > glm(Y~A+B+C+D, family=poisson) (code 1)
>> >
>> >
>> > However, I found some example using glm for lm.
>> > It suggests that the code should be revised like
>> > glm(Y~A+B+log(C)+log(D), family=poisson) (code 2)
>> >
>> > Please kindly advise which  code is correct.
>> > Thank you.
>> >
>> > Elaine
>> >
>> >         [[alternative HTML version deleted]]
>> >
>> > ______________________________________________
>> > R-help@r-project.org mailing list
>> > https://stat.ethz.ch/mailman/listinfo/r-help
>> > PLEASE do read the posting guide
>> http://www.R-project.org/posting-guide.html
>> > and provide commented, minimal, self-contained, reproducible code.
>>
>>
>>
>>
>> --
>> Joshua Wiley
>> Ph.D. Student, Health Psychology
>> Programmer Analyst II, Statistical Consulting Group
>> University of California, Los Angeles
>> https://joshuawiley.com/
>>
>> ______________________________________________
>> R-help@r-project.org mailing list
>> https://stat.ethz.ch/mailman/listinfo/r-help
>> PLEASE do read the posting guide
>> http://www.R-project.org/posting-guide.html
>> and provide commented, minimal, self-contained, reproducible code.
>>
>
>

        [[alternative HTML version deleted]]

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