9. Statistics
- 9.1
- 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.
- 9.2
- Mean and variance of linear combinations of
two independent random variables.
- 9.3
- Sampling distribution of the mean. Standard error of the mean.
Central limit theorem (without proof). Pooled estimators of population parameters
for two samples.
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.
- 9.4
- Finding confidence intervals for the mean of a normal population
from a sample.
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.
- 9.5
- Significance testing: the mean of a sample; the difference between two
means. Null and alternative hypotheses H0 and H1. Significance levels;
critical region and critical values; one-tailed and two-tailed tests. Drawing conclusions.
- 9.6
- The c2 distribution;
degrees of freedom, n. The c2
statistic
. The c2
goodness of fit test.
See
Chi-Squared Test,
from Eric's Treasure Trove of Mathematics.
Also see
Chi-Square, a lesson from Amar Patel.
- 9.7
- Contingency tables. The c2 test for the
independence of two factors.