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Chi-Squared Data Analysis and Model Testing for Beginners (Hardcover)
Loot Price: R1,587
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Chi-Squared Data Analysis and Model Testing for Beginners (Hardcover)
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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.
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