White Bar

"Any realistic model of a real-world phenomenon must take into account the possibility of randomness... [M[ore often than not, the quantities we are interested in... will exhibit an inherent variation that should be taken into account by the model."

 

Sheldon Ross

Bro. Brown's statistics reference pages

 

Here are links to pages concerning various topics and tools from introductory (and sometimes intermediate) statistics. Some of these pages are brief, formal reviews. Some aren't so brief or formal! Some are done in the style of actual classroom experiences.

 

As with most of the site, this page and the pages it links to are very much under construction. Only that which is blue and underlined is an active link. Please report any broken active links, typos, and other errors to Brother Brown at brownd@byui.edu. Thanks!

 

To help you understand some basic statistical concepts, I recommend the Java applets for statistics on the disk that comes with your statistics text. True, it can be annoying to learn how to use applets, but doing so gives you another skill set and that much more power over your own learning. You'll know you've arrived when you find yourself playing with the applets, asking---and answering---"what if?" questions, and maybe even having some fun with it.

 

Basic Issues in Statistics

 

     Principles of Statistics

 

     Randomness and Statistics

 

          Part 1: Statistics are random

 

          Part 2: Variability of Statistics

 

          Part 3: Bias in statistics

 

     Infinite populations

 

     Distributions of Sample Means

            An activity I sometimes use in class to create hooks in the students' minds, upon which a description of the distribution of sample means may be hung.

 

 

Descriptive Statistics

 

     Graphs, plots and charts

 

     Frequency and relative frequency

 

     Measures of location

 

     Measures of center

 

     Measures of variability

 

     Proportions

 

     Measures of association

 

     Pearson’s correlation coefficient

 

     The coefficient of determination

 

     Least-squares linear regression

 

     Crosstabulation

 

     Exploratory data analysis

 

Interval estimation

 

     Confidence intervals

 

     Confidence limits

 

     Prediction intervals

 

 

Hypothesis Testing

 

     Introduction to hypothesis tests

 

     The steps of an hypothesis test

 

     Exercises in writing hypotheses

 

     Exercises on type I and type II errors

 

     One sample z-tests

 

     Visually assessing normality

 

     The Shapiro-Wilk test of normality

 

     One-sample t-tests

 

     Matched-pairs t-tests

 

     Two-sample t-tests

 

     ANOVA

 

     Testing claims about Pearson’s correlation coefficient

 

     Testing claims about a least-squares regression line

 

     Conducting a complete least-squares linear regression analysis

 

     Chi-Squared tests for two-way tables

Place Holder