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STAT 3743 Daily Outline

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2010-09-13 Mon

Qualitative versus qualitative

Descriptive statistics: two-way tables

xtabs

addmargins

colPercents, rowPercents

Plotting two categorical variables

Stacked bar charts
Side-by-side bar charts
Spine plots

Ex: Titanic data

Quantitative versus quantitative

Plotting two quantitative variables

Univariate displays separately

Association:

linear versus nonlinear
strong versus weak

Ex: Puromycin data

Ex: attenu data

Ex: faithful data

Ex: iris data

Measuring linear association

Sample Pearson product-moment correlation coefficient (r)

Properties of r

Ex: iris data

Ex: attenu data

More about r

measures strength and direction of linear association
rules of thumb
r approx 0 doesn't mean no association

One quantitative, one qualitative

Comparison of groups

Ex: weight ~ feed, data = chickwts

Ex: ~ age | education, data = infert

Ex: ~ count | spray, data = InsectSprays

Multiple variables

Multi-way contingency tables

Mosaic plots, dot charts

Sample variance-covariance matrices

Scatterplot matrices (SPLOM)

Comparing groups: coplots

Ex: LifeCycleSavings data

Ex: Titanic data

Probability

Fundamental notions

Random experiment

Sample space

Subsets, events, empty set

Set theory review

Operations:

union
intersection
difference
complement

Algebra of sets

identities
commutative, associative, distributive

Examples: events in plain English, write set notation

Mutually exclusive, disjoint

Author: G. Jay Kerns <gkerns@ysu.edu>

Date: 2010-10-08 15:17:33 EDT

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