Statistical Thinking

Types of Data

Critical Thinking

Design of Experiments

Frequency Distributions

Histograms

Statistical Graphics

Critical Thinking: Bad Graphs

Measures of Center

Measures of Variation

Measures of Relative Standing and Boxplots

Fundamentals

Addition Rule

Multiplication Rule: Basics

Multiplication Rule: Complements and Conditional Probability

Probabilities Through Simulations

Counting

Bayes’ Theorem (on CD-ROM)

Random Variables

Binomial Probability Distributions

Mean, Variance, and Standard Deviation for the Binomial Distribution

The Poisson Distribution

The Standard Normal Distribution

Applications of Normal Distributions

Sampling Distributions and Estimators

The Central Limit Theorem

Normal as Approximation to Binomial

Assessing Normality

Estimating at Population Proportion

Estimating Population Mean: ? Known

Estimating a Population Mean: ? Not Known

Estimating a Population Variance

Basics of Hypothesis Testing

Testing a Claim About a Proportion

Testing a Claim About a Mean: ? Known

Testing a Claim About a Mean: ? Not Known

Testing a Claim About Variation

Inferences About Two Proportions

Inferences About Two Means: Independent Samples

Inferences from Matched Pairs

Comparing Variation in Two Samples

Correlation

Contingency Tables

Variation and Prediction Intervals

Multiple Regression

Modeling

Goodness-of-Fit

Contingency Tables

McNemar’s Test for Matched Pairs

One-Way ANOVA

Two-Way ANOVA

Sign Test

Wilcoxon Signed Ranks Test for Matched Pairs

Wilcoxon Ranked-Sum Test for Two Independent Samples

Kruskal-Wallis Test

Rank Correlation

Runs Test for Randomness

Control Charts for Variation and Mean

Control Charts for Attributes

PH Stats