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Statistics and Data Analysis

A. Abebe, J. Daniels, J. W. McKean
Department of Statistics
Western Michigan University

and

J. A. Kapenga
Department of Computer Science
Western Michigan University

Statistical Computation Lab (SCL)
Western Michigan University
Kalamazoo, MI.

Contents
Preface
Descriptive Statistics
- Introduction
- Describing Discrete Data
- Sample Distributions for Continuous Data
- The 5 Basic Descriptive Statistics for Continuous Data
- Outliers and Box Plots
- Comparing Data Sets
- Other Statistics
  - Measures of Center
  - Measures of Scale or Noise
    - Motivation
    - Measures of Scale
- Relationships Between Variables, Part 1: Linear Models
- Relationships Between Variables, Part 2: Residual Analysis
- Relationships Between Variables, Part 3: Measures of Relationships
Probability
- Introduction
- Probabilities
- More on Probability
- Relative Frequency
- Determination of Probabilities 1: Tree Diagrams
- Independence
Resampling
- Introduction
- Class Code for Resampling
Discrete Populations (Probability Models)
- Random Variables
- Discrete Populations (Probability Models)
- Parameters
- More Parameters
- Binomial Probability Model
- Poisson Probability Model
Continuous Probability Models
- Uniform Probability Model
- Parameters
- Normal Distribution
- Normal Quantiles
- Empirical Rule
Central Limit Theorem
- Some Probability Examples
- Central Limit Theorem
Confidence Intervals
- Introduction
- Confidence Intervals for Means
- Confidence Intervals for Proportions
- Confidence Intervals Based on Resampling
Tests of Hypotheses
- Introduction
- A Testing Procedure
- The Wilcoxon
- Wilcoxon: Other Alternatives
Estimation of Effect : Two Independent Samples
- Introduction
- Estimation and Confidence Interval Based on the Wilcoxon
- Estimation and Confidence Intervals Based on Means and Medians
- Difference Between Proportions
Design of Experiments
- Introduction
- Completely Randomized Designs
- Randomized Paired Design
- Signed-Rank Wilcoxon
- Difference Between Proportions : Dependent Samples
Regression : Second Pass
- Introduction
- Regression Experimental Designs: A Beginning Example
- Regression Experimental Designs
- Observational Studies
- How Regression Got Its Name
Data Sets
- Carrie's Baseball Data
- Etruscan-Italian Data
- Mortality-Church Wedding Data
Table of 10-Digit Random Numbers
Notation and Abbreviations
Practice Final Examination
Bibliography
Index
About this document ...

2001-01-01