Final Review
Focus
Regression, ANOVA,
Nonparametric, Categorical, Bayes
Is a population different from what we
might expect?
Parametric, Nonparametric
• Compare a mean to some hypothetical value
(one sample t-test, sign test)
• Compare a mean of one popu

Communication and
Documentation
Ott and Longnecker Chp. 20
Pagano and Gauvreau
Tufte
Scientific Process
A clear statement of objectives
A conceptual model
a framework for characterizing systems, making predictions,
and testing hypotheses
A good experimen

Bayesian Statistics
II
With some description of the Beta
distribution…
Concept by Example
Let us suppose we have 5 scientists each
analyzing the same 100 observations. Let
us suppose the purpose of the experiment
is to determine the probability that a ce

Probability and
Bayes’ Theorem
Statistical Viewpoints
• Frequentist
– Variation in the estimates reflects what one
would observe under repeated sampling
– Reflecting information about a single true, but
unknown mean
• Bayesian
– Variation represents prob

Nonparametric Statistics
Devore and Berk Chp. 14
Alternative Approaches
Advantages
More flexible relative to shape of the
distribution … doesn’t have to be
normal
Can often be applied to categories (e.g.
gender)
Simple
Outliers have less of an effect

Multiple Comparisons
Reference:
Steel and Torrie, 1980, Principles and
Procedures of Statistics, McGraw/Hill
Red clover: Trifolium pratense
Vermont state flower
http:/www.50states.com/flower/vermont.htm
Rhizobium trifolii
Appl Environ Microbiol. 1984
De