Business Experiments with R

Business Experiments with R
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A unique text that simplifies experimental business design and is dedicated to the R language  Business Experiments with R  offers a guide and explores the fundamentals of experiment business designs. The book fills a gap in the literature with its discussion of business statistics, addressing issues such as small samples, lack of normality, and data confounding. The author—a noted expert on the topic—puts the focus on the A/B tests (and their variants) that are widely used in industry but not typically covered in business statistics textbooks.  The text contains the tools needed to design and analyze two-treatment experiments (i.e., A/B tests) to answer business questions. The author highlights the strategic and technical issues involved in designing experiments that will truly affect organizations. The book then builds on the foundation laid in Part I and expands on multivariable testing. Today’s companies use experiments to solve a broad range of problems, and  Business Experiments with R  is an essential resource for any business student. This important text:  Presents the key ideas that business students need to know about experiments Offers a series of examples, focusing on specific business questions Helps develop the ability to frame ill-defined problems and determine what data and types of analysis provide information about each problem Contains supplementary material, such as data sets available to everyone and an instructor-only companion site featuring lecture slides and an answer key Written for students of general business, marketing, and business analytics,  Business Experiments with R  is an important text that helps to answer business questions by highlighting the strategic and technical issues involved in designing experiments that will truly affect organizations.

Оглавление

B. D. McCullough. Business Experiments with R

Table of Contents

List of Tables

List of Illustrations

Guide

Pages

Business Experiments with R

Preface

Suggested Courses Using This Book

Acknowledgments

Bruce McCullough

About the Companion Website

1 Why Experiment?

1.1 Case: Life Expectancy and Newspapers

Software Details

Try it!

Try it!

Exercises

1.2 Case: Credit Card Defaults

Try it!

Software Details

1.2.1 Lurking Variables

1.2.2 Sample Selection Bias

Try it!

Exercises

1.3 Case: Salk Polio Vaccine Trials

Exercises

1.4 What Is a Business Experiment?

1.4.1 Four Steps of an Experiment

1.4.2 Big Three of Causality

1.4.3 Most Experiments Fail

Exercises

1.5 Improving Website Designs

Exercises

1.6 A Brief History of Experiments

1.7 Chapter Exercises

1.8 Learning More

Section 1.1 “Life Expectancy and Newspapers”

Section 1.2 “Case: Credit Card Defaults”

Section 1.3 “Case: Salk Polio Vaccine”

Section 1.4 “What Is a Business Experiment?”

Section 1.5 “Improving Website Design”

Section 1.6 “A Brief History of Experiments”

1.9 Statistics Refresher

2 Analyzing A/B Tests: Basics

2.1 Case: Improving Response to Sales Calls (Two‐Sample Test of Means)

2.1.1 Initial Analysis and Visualization

Software Details

2.1.2 Confidence Interval for Difference Between Means

Try it!

Software Details

Try it!

Software Details

Software Details

2.1.3 Reporting Results

2.1.4 Hypothesis Test for Comparing Means

2.1.5 Power and Sample Size for Tests of Difference of Means

Software Details

Try it!

Try it!

Software Details

2.1.6 Considering Costs

Software Details

Try it!

Exercises

2.2 Case: Email Response Test (Two‐Sample Test of Proportions)

Try it!

Software Details

2.2.1 Confidence Interval and Hypothesis Test for Comparing Two Proportions

2.2.2 Better Confidence Intervals for Comparing Two Proportions

Software Details

2.2.3 Power and Sample Size for Tests of Difference of Two Proportions

Software Details

Try it!

Exercises

2.3 Case: Comparing Landing Pages (Two‐Sample Test of Means, Again)

Try it!

Exercises

2.4 Case: Display Ad Clickthrough Rate

2.4.1 Beta‐Binomial Model

Software Details

2.4.2 Comparing Two Proportions Using the Beta‐Binomial Model

Try it!

Software Details

Exercises

2.5 Case: Hotel Ad Test

2.5.1 Tips on Presenting Experimental Findings

Exercises

2.6 Chapter Exercises

2.7 Learning More

Section 2.1 “Case: Improving Response to Sales Calls”

Section 2.2 “Case: Email Response Test”

Section 2.3 “Case: Comparing Landing Pages”

Section 2.3 “Case: Comparing Landing Pages”

Section 2.4 “Case: Display Ad Clickthrough Rate”

Section 2.5 “Case: Hotel Ad Test”

Notes

3 Designing A/B Tests with Large Samples

3.1 The Average Treatment Effect

Exercises

3.2 Internal and External Validity

3.2.1 Threats to Internal Validity

3.2.2 Threats to External Validity

Exercises

3.3 Designing Conclusive Experiments

Defining Treatments

Choosing a Test Setting

Choosing Response Measures

Selecting the Unit of Analysis

Selecting Subjects

Assigning Treatments to Units

Choosing Factor Levels

Making Sure You Will Have Enough Data

Avoiding Other Problems

Communicating the Design to Others

Exercises

3.4 The Lady Tasting Tea

Exercises

3.5 Testing a New Checkout Button

Exercises

3.6 Chapter Exercises

3.7 Learning More. Section 3.1 “The Average Treatment Effect”

Section 3.2 “Internal and External Validity”

Section 3.3 “Designing Conclusive Experiments”

Section 3.4 “The Lady Tasting Tea”

Section 3.5 “Testing a New Checkout Button”

4 Analyzing A/B Tests: Advanced Techniques

4.1 Case: Audio/Video Test Reprise (One‐Sided Tests)

4.1.1 One‐Sided Confidence Intervals

Try it!

Software Details%

4.1.2 One‐Sided Power

Try it!

Exercises

4.2 Case: Typing Test (Paired ‐Test)

Software Details%

Try it!

4.2.1 Matched Pairs

Software Details%

Software Details%

Software Details%

Exercises

4.3 A/B/n Tests

Software Details%

Software Details%

Software Details%

Exercises

4.4 Minimum Detectable Effect

Exercises

4.5 Subgroup Analysis

4.5.1 Deficiencies of Subgroup Analysis

4.5.2 Subgroup Analysis of Bank Data

Exercises

4.6 Simpson's Paradox

4.6.1 Sex Discrimination at UC Berkeley

4.6.2 Do You Want Kidney Stone Treatment A or Treatment B?

4.6.3 When the Subgroup Is Misleading

Exercises

4.7 Test and Roll

Exercises

4.8 Chapter Exercises

4.9 Learning More

Section 4.1 “Audio/Video Reprise”

Section 4.2 “Typing Test”

Section 4.3 “A/B/n Tests”

Section 4.4 “Minimum Detectable Effect”

Section 4.5 “Subgroup Analysis”

Section 4.6 “Simpson's Paradox”

Section 4.7 “Test & Roll”

4.10 Axppendix on One‐Sided CIs, Tests, and Sample Sizes

5 Designing Tests with Small Samples

5.1 Case: Call Center Scripts (ANOVA)

Try it!

5.1.1 Blocking

Software Details

Software Details

Exercises

5.2 Case: Facebook Geo‐Testing (Latin Square Design)

Try it!

5.2.1 More on Latin Square Designs

5.2.2 Latin Squares and Degrees of Freedom

Software Details

Exercises

5.3 Dealing with Covariate Imbalance

5.3.1 Matching

5.3.2 Rerandomization

5.3.3 Propensity Score

5.3.4 Optimal Matching

5.3.5 Sophisticated Matching: Selling Slushies

Exercises

5.4 Chapter Exercises

5.5 Learning More

Section 5.1 “Call Center Scripts”

Section 5.2 “Geo‐Testing”

Section 5.3 “Dealing with Covariate Imbalance”

6 Analyzing Designs via Regression

6.1 Experiments and Linear Regression

Try it!

Software Details

Try it!

Software Details

Exercises

6.2 Dummies, Effect Coding, and Orthogonality

Try it!

Exercises

6.3 Case: Loan Experiment Revisited (Interactions)

6.3.1 Interactions

Try it!

6.3.2 Loan Experiment

Software Details

Software Details

Software Details

Exercises

6.4 Case: Direct Mail (Three‐Way Interactions)

Try it!

Software Details

Try it!

Try it!

Software Details

Exercises

6.5 Pretreatment Covariates in Regression

Exercises

6.6 Chapter Exercises

6.7 Learning More. Section 6.1 “Experiments and Linear Regression”

Section 6.2 “Dummies, Effect Coding, and Orthogonality”

Section 6.3 “Interactions”

Section 6.4 “Three‐Way Interactions”

Section 6.5 “Pretreatment Covariates in Regression”

6.8 Appendix: The Covariance Matrix of the Regression Coefficients

Try it!

Software Details

7 Two‐Level Full Factorial Experiments

7.1 Case: The Postcard Example

Try it!

Try it!

Try it!

Software Details

Exercises

7.2 Case: Email Campaign

Try it!

Exercises

7.3 The Determinant of a Matrix

Software Details

Exercises

7.4 Aliasing

Software Details

Try it!

Try it!

Software Details

Exercises

7.5 Blocking (Again)

Exercises

7.6 Mee's Blunders

7.7 Chapter Exercises

7.8 Learning More

Section 7.1 “The Postcard Example”

Section 7.2 “Email Campaign”

Section 7.3 “The Determinant of a Matrix”

Section 7.4 “Aliasing”

Section 7.5 “Blocking (Again)”

7.9 Appendix on aliasMatrix and colorMap

8 Two‐Level Screening Designs

8.1 Preliminaries

Exercises

8.2 Case: Puncture Resistance (Small Screening Experiment)

Exercises

8.3 Case: College Giving (Big Screening Experiment)

Software Details

Try it!

Exercises

8.4 How to Set Up a Screening Experiment

Exercises

8.5 Creating a Screening Design

Software Details

Software Details

Software Details

Exercises

8.6 Chapter Exercises

8.7 Learning More

Section 8.1 Preliminaries

Section 8.2 “Small Screening”

Section 8.3 “The College Giving Experiment”

Section 8.4 “How to Set Up a Screening Experiment”

Section 8.5 “Creating a Screening Design”

9 Custom Design of Experiments

9.1 Case: Selling Used Cars at Auction I (Small Custom Screening)

9.1.1 Create the Design

Software Details

9.1.2 Evaluate the Design

Software Details

Software Details

Try it!

9.1.3 Use the Design

Exercises

9.2 Case: Selling Used Cars at Auction II (Custom Experiment)

Software Details

Exercises

9.3 Custom Experiment with Blocking

Software Details

Exercises

9.4 Custom Screening Experiments

Software Details

Try it!

Software Details

Exercises

9.5 More Than Two Levels

Software Details

Software Details

Software Details

Software Details

Software Details

Exercises

9.6 Chapter Exercises

9.7 Learning More

Section 9.1 “Case: Selling Used Cars at Auction I”

Section 9.2 “Selling Used Cars at Auction II”

Section 9.3 “Custom Experiment with Blocking”

Section 9.4 “Custom Large Screening Experiments”

Section 9.5 “More Than Two Levels”

10 Epilogue

10.1 The Sequential Nature of Experimentation

10.2 Approaches to Sequential Experimentation

References

Index. a

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Отрывок из книги

B. D. McCullough

Drexel University

.....

Example III Progressive Insurance observed that when its policyholders hired a lawyer to settle a claim, settlement time went up from 90 days to 6 months, and the payout to the policyholder went down by $100. The costs to Progressive increased by $1600 due to the need to engage lawyers for these cases. Clearly, policyholders (and Progressive) would be better served if lawyers were not needlessly involved in the process. To achieve this goal, the project team focused on the dependent variable: percentage of claimants who hired an attorney within 60 days of the accident, which had been about 36%. Brainstorming produced 59 ideas for reducing this percentage; excluding ideas that were not “practical, fast, or cost‐free” culled the number to 19. This number finally was reduced to 13, which were tested via designed experiments. When all was said and done, the percentage was reduced by eight points, with each one‐point drop representing six million dollars in savings and better service to policyholders.

One of the more surprising innovations as a result of this experiment was that Progressive began paying out more in claims! If a person's car is totaled in an accident and the insurance company insists on paying book value rather than replacement value, what is the person likely to do? Hire a lawyer! In the experiment, districts that paid more in claims had a five‐point drop in attorney involvement. The decrease in legal fees more than made up for the increase in payments to policyholders.

.....

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