3. Statistics

3.1

The Poisson distribution. Mean and variance, without proof.

The Poisson Distribution has an explanation and an example in the form of a JAVA applet.

There is a Mathematica lab on the Poisson distribution at Search for Problem Sets.
Click the Probability link.

3.2

Mean and variance of sums and differences of two independent random variables.

3.3

Sampling distribution of the mean.

For background material, see Sampling Distributions, one of several Introductory Statistics Demonstrations from Ohio University's Department of Psychology.

Also see the Sampling Distribution entry in the Statistics Glossary.

3.4

Sampling distribution of a proportion p.

3.5

Confidence intervals for a population mean when sampling from a normal distribution for
(i) population variance s² known;
(ii) s² unknown, using the t distribution;

See Confidence Interval, from the extensive Eric's Treasure Trove of Mathematics site.

Also see the Confidence Interval for a Mean entry in the Statistics Glossary.

3.6

Confidence intervals for the difference between two population means,
when s² is unknown, (using the t distribution), for
(i) independent samples;
(ii) paired samples.

3.7

Confidence intervals for proportions.

3.8

The concept of significance testing.

3.9

Tests for a population mean when sampling from a normal distribution when
(i) the population variance s² is known;
(ii) s² is unknown, using the t distribution.

3.10

Tests for the difference between two population means, when s² is unknown,
(using the t distribution), for
(i) independent samples;
(ii) paired samples.

3.11

The chi-squared test. Contingency tables.

See Chi-Squared Test, from Eric's Treasure Trove of Mathematics.

Also see Chi-Square, a lesson from Amar Patel.

3.12

Goodness of fit.