I'm fairly new to this site. I'm currently doing some research work that involves the use of non-linear mixed effect model on longitudinal data (R). I'm presently using Pinheiro and Bates' book, Mixed-Effects Models in S and S-PLUS, with the nlme package. By non-linear, I mean non-linear functions of independent variables with normal responses.

I'm still a beginner with statistics and I'm finding the theoretical treatment of the subject in the above book quite daunting to understand. I was wondering if there are other "easier to digest" resources (including books) out there to try and get to grips with the theory. I understand how to use it in R but I still find that there are some fundamental concepts and gaps in my knowledge.

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    $\begingroup$ By "the Jose and Douglas book", do you mean Pinheiro and Bates' Mixed-Effects Models in S and S-PLUS? $\endgroup$ – Glen_b Dec 2 '13 at 17:59
  • $\begingroup$ You may want to check out this CV thread: advanced statistics books recommendation. In addition, it may help you to read through some of the threads on CV that discuss / explain the topics that you are currently having trouble w/. Lastly, feel free to ask questions here concerning those topics that you don't understand that are not currently covered here. $\endgroup$ – gung - Reinstate Monica Dec 2 '13 at 18:09
  • $\begingroup$ @Glen_b, yes you're quite right. I meant the Pinheiro and Bates' Mixed-Effects Models in S and S-plus. $\endgroup$ – John_dydx Dec 2 '13 at 19:08
  • $\begingroup$ @gung, thanks for the link. I'll check out the books. $\endgroup$ – John_dydx Dec 2 '13 at 19:10
  • $\begingroup$ You're welcome, @John. Can you clarify what you mean by "non-linear"? Eg, do you mean things like GLMM & GEE (to deal w/ non-normal response variables), or do you mean non-linear functions of your predictor variables w/ response variables that may even be normal (there's a good example here)? $\endgroup$ – gung - Reinstate Monica Dec 2 '13 at 19:15

Regarding mixed-effects models, in my opinion, the best applied book is:

For more on fitting them with different software,

is a handy supplement. (I've never read Pinheiro & Bates, which presumably covers this territory R-wise in better detail.)

I'll let someone else comment on the ideas underlying non-linear regression, but note that there is this book:

It's not about the underlying theory; it's just trying to get you quickly and easily to the point where you can fit them in R. I don't have much to say about it. I perused it once and it was easy to follow, but I don't actually use nonlinear regression.


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