Elementary Statistics

Elementary Statistics

Introduction to Statistics



Statistical Thinking

Types of Data

Critical Thinking

Design of Experiments

Summarizing and Graphing Data



Frequency Distributions


Statistical Graphics

Critical Thinking: Bad Graphs

Statistics for Describing, Exploring, and Comparing Data



Measures of Center

Measures of Variation

Measures of Relative Standing and Boxplots





Addition Rule

Multiplication Rule: Basics

Multiplication Rule: Complements and Conditional Probability

Probabilities Through Simulations


Bayes’ Theorem (on CD-ROM)

Discrete Probability Distributions



Random Variables

Binomial Probability Distributions

Mean, Variance, and Standard Deviation for the Binomial Distribution

The Poisson Distribution

Normal Probability Distributions



The Standard Normal Distribution

Applications of Normal Distributions

Sampling Distributions and Estimators

The Central Limit Theorem

Normal as Approximation to Binomial

Assessing Normality

Estimates and Sample Sizes



Estimating at Population Proportion

Estimating Population Mean: ? Known

Estimating a Population Mean: ? Not Known

Estimating a Population Variance

Hypothesis Testing



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 from Two Samples



Inferences About Two Proportions

Inferences About Two Means: Independent Samples

Inferences from Matched Pairs

Comparing Variation in Two Samples

Correlation and Regression




Contingency Tables

Variation and Prediction Intervals

Multiple Regression


Goodness-of-Fit and Contingency Tables




Contingency Tables

McNemar’s Test for Matched Pairs

Analysis of Variance





Nonparametric Statistics



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

Statistics Process Control



Control Charts for Variation and Mean

Control Charts for Attributes


PH Stats