Finding practice problems on linear models grad level

Click For Summary

Discussion Overview

The discussion centers around the search for practice problems related to linear models at the graduate level, specifically for a statistics course. Participants explore resources that could provide practical applications of theoretical concepts such as estimability, Gauss-Markov theorem, Aitken model, projection matrices, least square estimators, multivariate normal distributions, spectral decomposition, and Cochran's theorem.

Discussion Character

  • Homework-related
  • Exploratory

Main Points Raised

  • A first-year graduate student expresses difficulty in finding practice problems that apply definitions and concepts from their linear models class.
  • One participant suggests that there are many books available that contain good problems, questioning whether the student's instructor provided a list of references.
  • The original poster requests specific book titles that contain relevant practice problems.
  • Another participant recommends "Fundamentals of Statistics" by Goon, Gupta, and Dasgupta, and "Linear Statistical Inference" by C.R. Rao as potential resources.

Areas of Agreement / Disagreement

Participants generally agree that there are resources available for practice problems, but the specific recommendations vary, and the discussion does not resolve which resources are the most effective.

Contextual Notes

The discussion does not address the quality or appropriateness of the suggested resources in relation to the specific needs of the original poster.

libragirl79
Messages
30
Reaction score
0
Hi,

I am a first year stats grad student and I am taking a class on linear models. The book and lectures focus on the format of definition, proof, lemma, definition, proof, lemma etc. However, I cannot seem to find anywhere some practice problems where I could use these definitions before I actually take the tests. Some of the topics include estimability, gauss markov, aitken model, projection matrices, least square estimators, multivariate normal, spectral decomposition, cochran's thm and so on.

If anyone knows of any books or websites or anything else that has some practice problems that use these definitions and formulas it'd be much appreciated!

Thank you in advance!
 
Physics news on Phys.org
Actually there are countably large number of books for all standards and all contain good problems.
Did not your teacher give a list of references!
 
Could you please give me a couple of titles? Thanks!
 
Fundamentals of Statistics, by Goon, Gupta and Dasgupta. Linear Statistical Inference by C.R.Rao.
 
Thank you!
 

Similar threads

Graduate Combining model uncertainties with analytical uncertainties
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Find Practical Resonance Frequencies in Linear Differential Equations
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Maximum Likelihood to find the original data or estimation directly
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad The standard model from loop quantum gravity via spinors octonions
  • · Replies 26 ·
Replies
26
Views
6K
Analysis Study plan for Functional Analysis - Recommendations and critique
  • · Replies 13 ·
Replies
13
Views
5K
Admissions How to prove Physics competency to grad school admission committees?
  • · Replies 24 ·
Replies
24
Views
4K
Courses On the benefits of retaking advanced linear algebra
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Linear Gaussian parameter estimation
  • · Replies 2 ·
Replies
2
Views
6K
Undergrad Timeless Texts: Top Probability Books for Undergrad and Grad Students
  • · Replies 2 ·
Replies
2
Views
3K
In search of a non-linear way to prepare students for this unique exam
  • · Replies 2 ·
Replies
2
Views
3K