Finding practice problems on linear models grad level

In summary, the conversation is about a first year stats grad student asking for practice problems that utilize the definitions and formulas taught in their linear models class. They are specifically looking for resources that cover topics such as estimability, gauss markov, aitken model, projection matrices, least square estimators, multivariate normal, spectral decomposition, and cochran's thm. The student is recommended to check out books like Fundamentals of Statistics by Goon, Gupta and Dasgupta and Linear Statistical Inference by C.R.Rao.
  • #1
libragirl79
31
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!
 
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  • #2
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!
 
  • #3
Could you please give me a couple of titles? Thanks!
 
  • #4
Fundamentals of Statistics, by Goon, Gupta and Dasgupta. Linear Statistical Inference by C.R.Rao.
 
  • #5
Thank you!
 

Related to Finding practice problems on linear models grad level

1. What is a linear model in the context of graduate level practice problems?

A linear model is a mathematical representation of a relationship between two or more variables that can be described by a straight line. In graduate level practice problems, linear models are often used to analyze and predict data in various fields such as economics, physics, and engineering.

2. Where can I find practice problems on linear models at the graduate level?

There are many online resources and textbooks that offer practice problems on linear models at the graduate level. Some popular options include websites like Khan Academy and Coursera, as well as textbooks on statistics and data analysis.

3. How can I improve my skills in solving linear model practice problems at the graduate level?

The best way to improve your skills in solving linear model practice problems is through practice and repetition. Make sure to understand the concepts and techniques involved in solving these problems, and then practice regularly to reinforce your understanding and improve your speed and accuracy.

4. Are there any specific tips or tricks for solving graduate level practice problems on linear models?

One helpful tip is to always start by identifying and understanding the given data and variables, and then choosing an appropriate linear model to represent the relationship between them. It is also important to carefully analyze the problem and break it down into smaller, manageable parts.

5. Can linear model practice problems be applied to real-world situations?

Yes, linear models are widely used in real-world situations to analyze and predict data. They are particularly useful in industries such as finance, marketing, and engineering, where understanding and predicting relationships between variables is crucial for decision making.

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