• Back to basics
• The Gaussian Limit
• Fitting and
Hypothesis Testing
• Dark Arts
Statistics and Data Analysis (HEP)
Prof. dr hab. Elżbieta Richter-Wąs
Follow the course/slides from M. A. Thomson lectures at Cambridge University
ALEPH (LEP detector) event display
Lectures Synopsis
2
Experimental Physics
3
4
4
Three Types of Errors
5
Probability Distributions
6
Mean and Variance
7
Estimating the Mean and Variance
8
9
10
11
Special Probability Distributions
12
Binomial Distribution
13
Variance of the binomial distribution
14
15
Example: Efficiency Uncertainty
16
A more advanced analysis
17
a problem …
18
The Poisson Distribution
19
The Poisson Distribution
20
21
Properties of the Poisson Distribution
22
23
Example I
24
Example II
25
High Statistics Limit of Poisson Distribution
26
27
Next lecture
28