Course Information

Course Name	Turkish	Fizikte istatistiksel yöntemler ve Hata Analizi
	English	Error analysis and statistical methods in physics
Course Code	FIZ 633	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	2	3	3	-	-
Course Language		English
Course Coordinator		Kerem Cankoçak
Course Objectives		1-) To calculate uncertainties, mean and standard deviation and errors in measurements 2-) To introduce probability, Bayes theorem, mode, variance,confidence and statistics 3-) To analyze common probability distributions, such as binomial, Poisson, Gaussian, chi-squared 4-) To understand error analysis, instrumental and statistical uncertainties; propagation of errors 5-) To learn least square method, minimization techniques, parameter estimation, statistical tests, hypothesis testing, Monte Carlo method
Course Description		This course is primarily addressed to physicists and other scientists and engineers who need to evaluate uncertainty in measurement. After a short introduction to the probability theory, the course will focus on the error analysis, hypothesis testing and the comparison of the frequentalist and Bayesian approach. Data simulation techniques will be examined as well.
Course Outcomes		I. Uncertainties and erros in measurements, mean and standard deviation of distributions II. Probability theory, distribution functions, Bayes' theorem III. Probability distributions; Common distributions (binomial, Poisson, Gaussian, chi-squared) IV Error analysis: instrumental and statistical uncertainties; propagation of errors, specific error formulas V. Least square method, probability tests, Data simulation techniques, Monte Carlo method VI. Parameter estimation, minimization techniques, hypothesis testing, Student's "t" and chi-squared test VII. Statistical tests, error propagation, statistical vs systematic uncertainty VIII Advanced parameter estimation: maximum likelihood IX. Comparison of Bayesian/non-Bayesian methods
Pre-requisite(s)
Required Facilities
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Textbook		- Dealing with Uncertainties A Guide to Error Analysis, Manfred Drosg, Springer 2009 - Giulio D'Agostini,"Bayesian Reasoning in Data Analysis", World Scientific, 2003 - Christian Walck, “Hand-Book on Statistical Distributions For Experimentalists”, SUF-PFY/96-01,2007
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