Last Modified: November 16, 2017

Statistical Methods for Statisticians and Actuaries

The notes and scripts included here are copyrighted by their author,
Larry P. Ammann, and are intended for the use of students currently registered
for Stat 3355. They may not be copied or used for any other purpose without
permission of the author.

**Software for Statistical Analysis**

Examples presented in class are obtained using the statistical programming
language and environment **R**. This is freely available software with
binaries for Linux, MacIntosh, Windows that can be obtained from:

http://cran.r-project.org

A very useful extension for **R** is another freely available open-source package,
**RStudio**. There are versions available for Windows, Mac, and Linux which can be
downloaded from:

https://www.rstudio.com/products/rstudio/download/

Be sure to download the free version of this software. This package provides an intelligent editor
for script files, it allows specific projects to be assigned to their own directories to aid in
organization of your work, **RStudio** includes an interactive debugger to help identify and
correct errors, and it provides an interactive GUI for easily exporting graphics to image files for
incorporation into documents. Examples in class will be done using **RStudio**.

- Syllabus
- R Notes
- Class Notes
- Graphical tools
- Example script
- Numerical summaries of data
- Introduction to Probability Models
- Examples
- Additional Properties of Probability
- Estimation
- Estimation of a Population Variance
- Other Estimation Problems
- Statistical Decisions
- Hypothesis tests for a population proportion
- Hypothesis tests for a population mean
- Hypothesis tests to compare means of two populations - independent samples
- Comparison of Population Variances
- Hypothesis tests to compare means of two populations - paired samples
- Chi-square test for independence in two-way frequency tables
- Nonparametric tests

- Inference for Regression
- Polynomial Regression
- Comparison of more than two groups

- Homework and Project Assignments

- Summary of Methods
- Proportions
- Mean of a single population
- Standard deviation of a single population
- Comparison of means from two populations
- Comparison of population variances
- Inference for linear regression

- Review Problems
- Example R scripts

2017-11-16