Chi-Squared Data Analysis and Model Testing for Beginners
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Product details:
- Publisher OUP Oxford
- Date of Publication 17 September 2019
- ISBN 9780198847151
- Binding Paperback
- No. of pages112 pages
- Size 234x155x6 mm
- Weight 204 g
- Language English
- Illustrations 33 grayscale line figures 0
Categories
Short description:
Recent groundbreaking discoveries in physics have relied on chi-squared analysis and model testing. This is the first book to make this data analysis method accessible to students in introductory physics lab courses and others who need to learn this method, such as beginning researchers in astrophysics and beginners in data science.
MoreLong description:
Recent groundbreaking discoveries in physics, including the discovery of the Higgs Boson and gravitational waves, have relied on chi-squared analysis and model testing, a data analysis method. This is the first book to make chi-squared model testing accessible to students in introductory physics lab courses and others who need to learn this method, such as beginning researchers in astrophysics and particle physics, beginners in data science, and lab students in other experimental sciences. For over a decade, Harvard University's introductory physics lab sequence has made chi-squared model testing its central theme. Written by two faculty members, the book is based on years of experience teaching students learn how to think like scientists by testing their models using chi-squared analysis.
By including uncertainties in the curve fitting technique, chi-squared data analysis improves on the centuries old ordinary least squares and linear regression methods and combines best fit parameter estimation and model testing in one method. A toolkit of essential statistical and experimental concepts is developed from the ground up with novel features to interest even those familiar with the material. The presentation of one and two parameter chi-squared model testing, requiring only elementary probability and algebra, is followed by case studies that apply the methods to simple introductory physics lab experiments. More challenging topics requiring calculus are addressed in an advanced topic chapter.
This self-contained and student-friendly introduction includes a glossary, end of chapter problems with complete solutions, and software scripts available in several popular programming languages that the reader can use for chi-squared model testing.
...delightful little book with a simple aim - to make chi-squared data analysis accessible to first-year physics students. Not only does the book succeed in this aim, but it does so without resorting to the oftused "collection of recipes" approach that makes statistical modeling seem more like magic than a coherent system of scientific thinking...I highly recommend this book for many applied fields - not just physics."
Table of Contents:
Introduction
Statistical Toolkit
One Parameter Chi-squared Analysis
Two Parameter Chi-Squared Analysis
Case Study 1: Falling Chains
Case Study 2: Modeling Air Resistance on Falling Coffee Filters
Advanced Topics
