You could take a look at the nice course materials by Germán Rodríguez to see if they meet your needs.

• https://grodri.github.io/glms/
• https://grodri.github.io/multilevel/
• https://grodri.github.io/survival/

HTH.

Bruce Weaver

Thanks a lot!

Hello

The following books might be of relevance to your interests:

1) Linear models in Statistics by Rencher and Schaalje

2) Applied Regression analysis by Draper and Smith

3) Statistical inference by Casella and Berger.

In addition, you can refer to the online lecture videos of the NPTEL courses: Regression Analysis by Prof. Soumen Maity and Statistical inference by Prof. Somesh Kumar.

Thanks¡

Jhon Alexander Barrero -

When you say you want to study inference, I automatically think of inference to a finite population from a sample. If you look to regression to do that, then I think of the model-based approach. You can look into statistical learning, or as already noted above, strictly regression textbooks or perhaps multi-level models or perhaps other areas.  However, in the finite population sampling context of which I am familiar, I have some additional suggestions.

If you are looking for the prediction-/model-based alternative to the design-based approach to sampling and inference for finite populations,  then these two books are useful:

Chambers, R, and Clark, R(2012), An Introduction to Model-Based Survey Sampling with Applications, Oxford Statistical Science Series  

Valliant, R, Dorfman, A.H., and Royall, R.M.(2000), Finite Population Sampling and Inference: A Prediction Approach, Wiley Series in Probability and Statistics

There are many other textbooks which are primarily for the design-based approach, but which contain information regarding the model-based approach. In fact even the third edition of Cochran has a section within the chapter on the ratio estimator which looks at modeling: "6.7 Conditions Under Which the Ratio Estimator is a Best Linear Unbiased Estimator," pages 158-160.  The book citation is as follows:

Cochran, W.G.(1977), Sampling Techniques, 3rd ed, John Wiley & Sons

There are modern survey statistics books which have sections, chapters or more comparing the design-based and model-based approaches, such as the following two textbooks:

Thompson, S.K.(2012), Sampling, 3rd ed, John Wiley & Sons.  

Lohr, S.L(2022), Sampling: Design and Analysis, 3rd ed., CRC Press.

The following book is on the model-assisted design-based approach:

Särndal, C.-E., Swensson, B., and Wretman, J.(1992), Model Assisted Survey Sampling, Springer-Verlang

However, if you are looking for a regression book such as Draper and Smith mentioned by Debopam Ghosh, I also suggest the following:

Weisberg, S. (2014). Applied Linear Regression, 4th ed. John Wiley & Sons, Inc.  

Also there is the following:

Kutner, M.H., Nachtsheim, C.J., and Neter, J.(2004), Applied Linear Regression Models, 4th ed., McGraw-Hill/Irwin. 

That last one may have one or more newer editions, but that is the one I have.

There are other references, but perhaps the above will help. 

Cheers - Jim

Thanks a lot¡

Two more textbooks to go in the category with Thompson, S.K.(2012) and Lohr, S.L.(2022) above, with some comparison of the design-based and model-based approaches, would be the following:

Tillé, Y.(2020), Sampling and Estimation from Finite Populations, Wiley.

And

Wu, C. and Thompson, M.E.(2020), Sampling Theory and Practice, Springer.

Jhon Alexander Barrero -

Actually, from your profile it appears that you are doing clinical trials. That is not my area, but on the internet I found the following:

"Introduction to Statistical Methods for Clinical Trials (Chapman & Hall/CRC... (Hardcover),

Cook, Thomas D., DeMets, David L.,

Published by Routledge (edition 1), 2007."

It is in English, by CRC Press, and I saw it is at a used book store, I think, called Abe, for something over $40.

I do not know this book at all. I can therefore give you no opinion on it other than you might want to check into it.

I see that the title says "introduction to statistical methods," but I think that some people may put a large part of all that they know into a book and call it "introduction." However, as I said, I do not know about this book.

Cheers - Jim

Again thank you very much, I will review them

If you are interested in clinical trials specifically, this Penn State course website may be helpful:

• https://online.stat.psu.edu/stat509/

Thanks