# Information Inequality-Computing and Statistical Data Analysis-Lecture 09 Slides-Physics

Because of difficulties in encoding a vague degree of belief in a prior, one often attempts to derive the prior from formal rules, e.g., to satisfy certain invariance principles or to provide maximum information gain for a certain set of measureme...

# Particle Physics-Computing and Statistical Data Analysis-Lecture 01 Slides-Physics

A random variable is a numerical characteristic assigned to an element of the sample space; can be discrete or continuous. Particle Physics, Uncertainty, Probability, Conditional, Independence, Bayes Theorem, Law of Total Probability, Bayesian Sta...

# Interval Estimation-Computing and Statistical Data Analysis-Lecture 11 Slides-Physics

In addition to a ‘point estimate’ of a parameter we should report an interval reflecting its statistical uncertainty. Interval Estimation, Frequentist Confidence Intervals, Confidence Belt, Likelihood Function, Poission Parameter, Bayesian, Statis...

# Particle Physics-Computing and Statistical Data Analysis-Lecture 01 Slides-Physics

A random variable is a numerical characteristic assigned to an element of the sample space; can be discrete or continuous. Particle Physics, Uncertainty, Probability, Conditional, Independence, Bayes Theorem, Law of Total Probability, Bayesian Sta...

# Statistical vs Systematic Errors-Computing and Statistical Data Analysis-Lecture 13 Slides-Physics

Bayes’ theorem tells how our beliefs should be updated in light of the data. Statistical vs Systematic Errors, Nuisance, Parameters, Profile Likelihood, Bayesian, Bayes Theorem, Markov Chain Monte Carlo, Metropolis Hastings Algorithm, Cousins High...

# Monte Carlo method-Computing and Statistical Data Analysis-Lecture 04 Slides-Physics

The Monte Carlo method is a numerical technique for calculating probabilities and related quantities using sequences of random numbers. Monte Carlo Method, Random Number Generators, Transformation Method, Acceptance Rejection Method, Acceptance Re...

# Functions of a Random Variable-Computing and Statistical Data Analysis-Lecture 02 Slides-Physics

Given a function of a random variable, we know how to find the variance of the function using error propagation. Functions of a Random Variable, Unique Inverse, Mellin Convolution, Expectation Values, Covariance, Correlation, Error Propagation, St...

# Bayesian Approach-Computing and Statistical Data Analysis-Lecture 14 Slides-Physics

The harmonic mean estimator is numerically very unstable; formally infinite variance (!). Bayesian Approach, Equivalent, Error, Non Gaussian, Error on Error Function, Goodness of Fit, Discovery, Bayes Factor, Harmonic Mean Estimator, Importance Sa...

# Computing and Statistical Data Analysis-Lecture 07 Slides-Physics

The p-value is a function of the data, and is thus itself a random variable with a given distribution. Significance Test, Peak, Significance, P Value, Distribution, Pearson Statistic, Multinomial Data, Statistical Data Analysis, Lecture Slides, Gl...

# Review-Computing and Statistical Data Analysis-Lecture Review Slides-Physics

In this course we will write stand-alone C programs that use classes from the ROOT library. Root, Book, Fill, Histogram, Display, Error Bars, Fitting, Tfile, Adrian Bevan, Benno List, Statistical Data Analysis, Lecture Slides, Glen Cowan, Physic...

# Bayesian Approach-Computing and Statistical Data Analysis-Lecture 14 Slides-Physics

The harmonic mean estimator is numerically very unstable; formally infinite variance (!). Bayesian Approach, Equivalent, Error, Non Gaussian, Error on Error Function, Goodness of Fit, Discovery, Bayes Factor, Harmonic Mean Estimator, Importance Sa...

# Statistical vs Systematic Errors-Computing and Statistical Data Analysis-Lecture 13 Slides-Physics

Bayes’ theorem tells how our beliefs should be updated in light of the data. Statistical vs Systematic Errors, Nuisance, Parameters, Profile Likelihood, Bayesian, Bayes Theorem, Markov Chain Monte Carlo, Metropolis Hastings Algorithm, Cousins High...

# Interval Estimation-Computing and Statistical Data Analysis-Lecture 12 Slides-Physics

Confidence intervals for a parameter Theta can be found by defining a test of the hypothesized value Theta (do this for all Theta). Interval Estimation, Frequentist Confidence Intervals, Confidence Belt, Confidence Interval, Poisson Parameter, Bay...