STATISTICAL METHODS

PHYSICS 101

This is an outline of some of the topics that will be covered.

DESCRIPTIVE STATISTICS

• Visualizing Data
• Frequency Distributions
• Stem and Leaf Plots
• Measures of Central Tendency
• Measures of Variation
• The Standard Deviation
• z-scores
• Percentiles; Box & Whisker Plots
• Bivariate Analysis and Linear Correlation
• Linear Correlation and Regression
• Nonlinear Analysis

PROBABILITY THEORY

• Permutations and Combinations
• Addition and Multiplication Rules
• Conditional Probability
• Binomial Distribution
• Poisson and Hypergeometric Probabilities
• Normal Distribution; Applications
• Approximation to the Binomial Distribution

INFERENTIAL STATISTICS

• Stratified Sampling; Sample Means
• Central Limit Theorem
• Estimation Theory: Significance
• Large Samples; Proportions; Confidence Intervals
• Hypothesis Testing; Types of Errors; Applications
• Small Samples; Student t-distribution
• Variance Testing; F Distribution
• Chi-Squared Distribution; Goodness of Fit; Contingency Tables
• Linear Regression and Hypothesis Testing
• Analysis of Variance; One-way and Two-way ANOVA Tables
• Multivariate Analysis; Applications