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STAT2 cover

STAT2

Modeling with Regression and ANOVA

by Ann Cannon, George W. Cobb, Bradley A. Hartlaub

2nd Edition

Publisher: W.H. Freeman & Company

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Book Details

Print ISBN9781319054076
eText ISBN9781319067502
PublisherW.H. Freeman & Company
Publishing Year2019
Edition2nd Edition
LanguageEnglish

STAT2: Modeling with Regression and ANOVA, 2nd Edition, is a textbook designed to introduce statistical modeling beyond introductory college statistics or AP Statistics courses. It helps students expand their analytical capabilities to handle richer datasets with multiple variables.

Organized into thematic units defined by the types of response and predictor variables, the textbook covers linear regression, analysis of variance, logistic regression, and time series analysis. Throughout these topics, modeling follows a four-step cycle: choosing a model form, fitting the model, assessing model fit, and using the model to address research questions.

Prerequisites are limited to a first statistics course and a working knowledge of exponential and logarithmic functions. Authentic multivariable datasets from diverse disciplines provide practical contexts for analysis.

Table of Contents

  1. Chapter 0: What Is a Statistical Model?

    • • 0.1 Model Basics
    • • 0.2 A Four-Step Process
  2. Chapter 1: Simple Linear Regression

    • • 1.1 The Simple Linear Regression Model
    • • 1.2 Conditions for a Simple Linear Model
    • • 1.3 Assessing Conditions
    • • 1.4 Transformations/Reexpressions
    • • 1.5 Outliers and Influential Points
  3. Chapter 2: Inference for Simple Linear Regression

    • • 2.1 Inference for Regression Slope
    • • 2.2 Partitioning Variability—ANOVA
    • • 2.3 Regression and Correlation
    • • 2.4 Intervals for Predictions
    • • 2.5 Case Study: Butterfly Wings
  4. Chapter 3: Multiple Regression

    • • 3.1 Multiple Linear Regression Model
    • • 3.2 Assessing a Multiple Regression Model
    • • 3.3 Comparing Two Regression Lines
    • • 3.4 New Predictors from Old
    • • 3.5 Correlated Predictors
    • • 3.6 Testing Subsets of Predictors
    • • 3.7 Case Study: Predicting in Retail Clothing
  5. Chapter 4: Additional Topics in Regression

    • • 4.1 Topic: Added Variable Plots
    • • 4.2 Topic: Techniques for Choosing Predictors
    • • 4.3 Cross-validation
    • • 4.4 Topic: Identifying Unusual Points in Regression
    • • 4.5 Topic: Coding Categorical Predictors
    • • 4.6 Topic: Randomization Test for a Relationship
    • • 4.7 Topic: Bootstrap for Regression
  6. Chapter 5: One-way ANOVA and Randomized Experiments

    • • 5.1 Overview of ANOVA
    • • 5.2 The One-way Randomized Experiment and Its Observational Sibling
    • • 5.3 Fitting the Model
    • • 5.4 Formal Inference: Assessing and Using the Model
    • • 5.5 How Big Is the Effect?: Confidence Intervals and Effect Sizes
    • • 5.6 Using Plots to Help Choose a Scale for the Response
    • • 5.7 Multiple Comparisons and Fisher’s Least Significant Difference
    • • 5.8 Case Study: Words with Friends
  7. Chapter 6: Blocking and Two-way ANOVA

    • • 6.1 Choose: RCB Design and Its Observational Relatives
    • • 6.2 Exploring Data from Block Designs
    • • 6.3 Fitting the Model for a Block Design
    • • 6.4 Assessing the Model for a Block Design
    • • 6.5 Using the Model for a Block Design
  8. Chapter 7: ANOVA with Interaction and Factorial Designs

    • • 7.1 Interaction
    • • 7.2 Design: The Two-way Factorial Experiment
    • • 7.3 Exploring Two-way Data
    • • 7.4 Fitting a Two-way Balanced ANOVA Model
    • • 7.5 Assessing Fit: Do We Need a Transformation?
    • • 7.6 USING a Two-way ANOVA Model
  9. Chapter 8: Additional Topics in Analysis of Variance

    • • 8.1 Topic: Levene’s Test for Homogeneity of Variances
    • • 8.2 Topic: Multiple Tests
    • • 8.3 Topic: Comparisons and Contrasts
    • • 8.4 Topic: Nonparametric Statistics
    • • 8.5 Topic: Randomization F-Test
    • • 8.6 Topic: Repeated Measures Designs and Data Sets
    • • 8.7 Topic: ANOVA and Regression with Indicators
    • • 8.8 Topic: Analysis of Covariance
  10. Chapter 9: Logistic Regression

    • • 9.1 Choosing a Logistic Regression Model
    • • 9.2 Logistic Regression and Odds Ratios
    • • 9.3 Assessing the Logistic Regression Model
    • • 9.4 Formal Inference: Tests and Intervals
  11. Chapter 10: Multiple Logistic Regression

    • • 10.1 Overview
    • • 10.2 Choosing, Fitting, and Interpreting Models
    • • 10.3 Checking Conditions
    • • 10.4 Formal Inference: Tests and Intervals
    • • 10.5 Case study: Attractiveness and Fidelity
  12. Chapter 11: Additional Topics in Logistic Regression

    • • 11.1 Topic: Fitting the Logistic Regression Model
    • • 11.2 Topic: Assessing Logistic Regression Models
    • • 11.3 Randomization Tests for Logistic Regression
    • • 11.4 Analyzing Two-Way Tables with Logistic Regression
    • • 11.5 Simpson’s Paradox
  13. Chapter 12: Time Series Analysis

    • • 12.1 Functions of Time
    • • 12.2 Measuring Dependence on Past Values: Autocorrelation
    • • 12.3 ARIMA models
    • • 12.4 Case Study: Residual Oil

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▶Research Sources (4)
  • STAT2 Modeling with Regression and ANOVA
  • STAT2 2nd Edition | Ann Cannon
  • STAT2, 2nd Edition
  • STAT2 Modeling with Regression... | Rent | 9781319054076

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