Outline

Outline

Distributions

Binomial

Poisson

PDFs

Variance and Mean

Central Limit Theorem

Estimators

Properties of Normal Distributions

Trial Factors

Regression to the Mean

Handling Outliers

Uncertainties

Formality of Error Propagation

Statistical vs Systematic Errors

Testing Models

Chi-Squared distribution & test

“Scientific Method”

Fisher Combined Probability Test

Bayes’ Theorem

Maximum Likelihood

Bias and Experimental Design

Blind Analysis Techniques

Data Correction

Statistical Optimisation

Redundancy

“Statistical Data Analysis” by G. Cowan

“A Guide to the Use of Statistical Methods in the Physical Sciences” by R. J. Barlow

“Measurements and their Uncertainties: A practical guide to modern error analysis” by Ifan Hughes and Thomas Hase

“Data Analysis: A Bayesian Tutorial”

by D. Sivia

“Probability Theory: An Introductory Course” by Ya. G. Sinai

Recommended Texts

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