Recommendations for a Statistics Textbook in Astrophysics Research

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A graduate student in astrophysics is seeking recommendations for a statistics textbook to enhance their understanding of statistical tests relevant to data analysis and numerical models. They currently rely on "Numerical Recipes" but recognize the need for a formal statistics course due to their research demands and travel schedule. The discussion includes suggestions for various textbooks, with a focus on those that cover advanced topics suitable for someone with a background in mathematics. Additionally, another participant, a sophomore physics major, expresses a desire for a statistics textbook that emphasizes a scientific approach, highlighting their strong performance in mathematics but feeling underprepared. The conversation also touches on calculus textbooks, with inquiries about the differences between popular texts and whether purchasing an additional book is justified.

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I'm in my 4th+ year of grad school in physics, working in the field of astrophysics. I've never taken an actual statistics course, and I'm starting to see the need for one - at the moment, I get all my statistics knowledge from Numerical Recipes. I do a lot of traveling for my research, so I can't take a course on campus. Can anyone recommend a good statistics textbook? I mainly need to learn about statistical tests that can be done in data analysis and numerical models. I have some background, just not an actual course, so it doesn't have to be an undergrad-level book if a more advanced one would be more appropriate. Thanks for any recommendations.
 
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Code:
[B]Table of Contents:[/B]
[LIST]
[*]  Introduction to Statistics
[*] Summarizing and Graphing Data
[*]  Statistics for Describing, Exploring, and Comparing Data
[*]  Probability
[*]  Discrete Probability Distributions
[*] Normal Probability Distributions
[*]  Estimates and Sample Sizes
[*]  Hypothesis Testing
[*]  Inferences from Two Samples
[*]  Correlation and Regression
[*]  Goodness-of-Fit and Contingency Tables
[*]  Analysis of Variance
[*]  Nonparametric Statistics
[*]  Statistical Process Control
[*] Projects, Procedures, Perspectives
[*] Appendices
[LIST]
[*] Tables 
[*] Data Sets 
[*] Bibliography of Books and Web Sites
[*]  Answers to odd-numbered section exercises, plus answers to all end-of-chapter Statistical Literacy and Critical Thinking exercises, chapter Quick Quizzes, Review Exercises, and Cumulative Review Exercises
[/LIST]
[*] Credits
[*] Index
[/LIST]
 
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If there were just one or two textbooks that would really prepare you in solving as many problems as possible from https://www.amazon.com/dp/9810200560/?tag=pfamazon01-20, preferably from scratch (if possible), what would they be & how closely do they follow the format of Lim's book? :cool:
 
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Hello all,
I am finishing up my sophomore year as a physics major. I have taken several mathematics courses over the passed two years, and have made great grades, but I don't feel I have the mathematical background I should. I have taken college algebra, trig, calculus 1 through 3, and statistics. I have made great grades so far, A's in all math classes and A's and B's in my science classes. Not to down grade my university, I have never been required a textbook in any of my mathematics classes. I just finished calculus based physics 1 and realized that I need to study math more.
So, what I am asking for are some recommendations on a good statistics textbook; something with more of a science background.

Also,
I have a couple of calculus textbooks already, Swokowski's and Thomas's. I see most of you prefer Spivak. Is there enough of a difference between the two calculus texts that I already have to justify buying Spivak?
 
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