# Statistics

This page is intended to be a repository for tutorials and information regarding inferential statistical tests.

## Contents

## Selecting a Test

As part of the "Remedial Stats Anonymous" group, Valerie Freeman has created a flowchart for choosing a statistical test.

This table from UCLA Institute for Digital Research and Education can help you choose the correct statistical test based on the number and nature of your variables. It also provides links to demonstrate how to do such tests in SAS, Stata, SPSS, and R.

This table from the Handbook of Biological Statistics also helps you decide which test you should use.

## Common Statistical Tests used in Phonetics

### Linear Mixed-Effects Modeling

Introduction to LME modeling (by Ister Le Grezause). File:LME Intro.pdf

Bodo Winter's tutorial on linear models and linear mixed effects models in R.

### Log-Likelihood Estimation

### ANOVA

Bodo Winter's tutorial on the F distribution and basic principle behind ANOVAs.

## Helpful Links

Bodo Winter, a cogsci grad student at UC Merced, has a great set of tutorials on LME modeling, as well as one on ANOVAs and some principals of statistics, see his page here.

This pdf provides a basic guideline for reporting statistics in psychology.

Elementary statistics with R provides basic tutorials on a range of statistical analyses in R.

Quick R: Basic Stastics provides tutorials on a range of statistical tests in R.

The Wolfram MathWorld website has links to help you understand the math behind the statistical tests you are using.

Penn State Online Stats Courses. These courses cover a variety of different concepts and models, and they're free.

## UW Courses Useful for Linguists

- CS&SS 221: Statistical Concepts and Methods for the Social Sciences
- "Develops statistical literacy. Examines objectives and pitfalls of statistical studies; study designs, data analysis, inference; graphical and numerical summaries of numerical and categorical data; correlation and regression; and estimation, confidence intervals, and significance tests. Emphasizes social science examples and cases."

- EDPSY 490: Basic Educational Statistics
- "Measures of central tendency and variability, point and interval estimation, linear correlation, hypothesis testing."

- This course is a good introduction (and is a prerequisite for other courses), but you will be required to do the work by hand rather than using technology.

- LING 520: Stats for Linguists
- The department now offers a course covering common statistical models that are used by linguists.