Learning Through Practice: Statistical Reasoning

Description

Introductory level Workbook for all disciplines requiring a working knowledge of reasoning skills.

Dr. Kathrine Johnson received her PhD in Applied Probability from the University of Idaho and now teaches math at Boise State University. She teaches statistics and encourages students to learn statistical reasoning to help them understand how important these skills are throughout their life past graduation.

Pre-calculus treatment of descriptive statistics, confidence intervals, hypothesis testing, simple linear regression and correlation, and basic data collection concepts. Emphasis on reasoning, interpretation, and communicating ideas in the context of a wide variety of disciplines with computer software for computations.

PREFACE

Module 1 COLLECTING DATA

Activity 1-1 Statistical Reasoning
Activity 1-2 Graphs and Measures of Center
Activity 1-3 Measures of Spread and Boxplots
Activity 1-4 Measures of Location and Reading Graphs

Practice Module 1

Module 2 PROBABILITY

Activity 2-1 Empirical and Theoretical Probability
Activity 2-2 The Normal Distribution
Activity 2-3 Other Probability Distributions and Applications

Practice Module 2

Module 3 COLLECTING DATA

Activity 3-1 Introduction to Data Collection
Activity 3-2 Experimental vs. Sampling Designs

Practice Module 3

Module 4 INFERENCE FOR A POPULATION MEAN

Activity 4-1 Introduction to Sampling Distributions and Hypothesis Testing via Simulation
Activity 4-2 Introduction to the Central Limit Theorem and Hypothesis Testing
Activity 4-3 The One-Sample t-Test for a Population Mean
Activity 4-4 p-Values and Type I and II Errors
Activity 4-5 Introduction to Confidence Intervals
Activity 4-6 Further Practice and Interpretation

Practice Module 4

Module 5 INFERENCE FOR TWO OR MORE PROPORTIONS

Activity 5-1 Inference for a Population Proportion Using the Normal Approximation
Activity 5-2 More Inference for One Proportion
Activity 5-3 The χ2 Distribution to Compare Two Proportions
Activity 5-4 The χ2 Distribution and Two-Way Tables
Activity 5-5 The χ2 Test for Goodness of Fit
Activity 5-6 Simpson’s Paradox and Odds Ratios
Activity 5-7 Practice and Cautions Interpreting Relationships

Practice Module 5

Module 6 INFERENCE FOR TWO OR MORE MEANS

Activity 6-1 The Paired t-Test and the 2-Sample t-Tests
Activity 6-2 One-Way Analysis of Variance (ANOVA)
Activity 6-3 Simple Linear Regression Analysis
Activity6-4 Cautions Interpreting Regression Analysis Results

Practice Module 6

Appendix: RStudio Reference Sheet