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    • All HBS Web  (138)
      • Faculty Publications  (38)

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      • 2025
      • Working Paper

      Extractive Taxation and the French Revolution

      By: Tommaso Giommoni, Gabriel Loumeau and Marco Tabellini
      We study the fiscal determinants of the French Revolution, exploiting plausibly exogenous variation in the salt tax—a large source of royal revenues and one of the most extractive forms of taxation of the Ancien Régime. Implementing a Regression Discontinuity... View Details
      Keywords: Extractive Taxation; Regime Change; French Revolution; State Capacity; Taxation; History; Government Administration; Attitudes; Public Opinion
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      Giommoni, Tommaso, Gabriel Loumeau, and Marco Tabellini. "Extractive Taxation and the French Revolution." Harvard Business School Working Paper, No. 25-047, April 2025. (Featured at VoxEU.)
      • 2024
      • Working Paper

      Anytime-Valid Inference in Linear Models and Regression-Adjusted Causal Inference

      By: Michael Lindon, Dae Woong Ham, Martin Tingley and Iavor I. Bojinov
      Linear regression adjustment is commonly used to analyze randomized controlled experiments due to its efficiency and robustness against model misspecification. Current testing and interval estimation procedures leverage the asymptotic distribution of such estimators to... View Details
      Keywords: Mathematical Methods; Analytics and Data Science
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      Lindon, Michael, Dae Woong Ham, Martin Tingley, and Iavor I. Bojinov. "Anytime-Valid Inference in Linear Models and Regression-Adjusted Causal Inference." Harvard Business School Working Paper, No. 24-060, March 2024.
      • August 2023 (Revised March 2024)
      • Case

      Arla Foods: Data-Driven Decarbonization (A)

      By: Michael Parzen, Michael W. Toffel, Susan Pinckney and Amram Migdal
      The case describes Arla’s history, in particular its climate change mitigation efforts, and how it implemented a price incentive system to motivate individual farms to implement scope 1 greenhouse gas emissions mitigation measures and receive a higher milk price. The... View Details
      Keywords: Dairy Industry; Business Earnings; Agribusiness; Animal-Based Agribusiness; Acquisition; Mergers and Acquisitions; Decision Making; Decisions; Voting; Environmental Management; Climate Change; Environmental Regulation; Environmental Sustainability; Green Technology; Pollution; Moral Sensibility; Values and Beliefs; Financial Strategy; Price; Profit; Revenue; Food; Geopolitical Units; Global Strategy; Ownership Type; Cooperative Ownership; Performance Efficiency; Performance Evaluation; Problems and Challenges; Natural Environment; Science-Based Business; Business Strategy; Commercialization; Cooperation; Corporate Strategy; Food and Beverage Industry; Agriculture and Agribusiness Industry; Europe; United Kingdom; European Union; Germany; Denmark; Sweden; Luxembourg; Belgium
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      Parzen, Michael, Michael W. Toffel, Susan Pinckney, and Amram Migdal. "Arla Foods: Data-Driven Decarbonization (A)." Harvard Business School Case 624-003, August 2023. (Revised March 2024.)
      • August 2023 (Revised January 2024)
      • Supplement

      Arla Foods: Data-Driven Decarbonization (B)

      By: Michael Parzen, Michael W. Toffel, Susan Pinckney and Amram Migdal
      The case describes Arla’s history, in particular its climate change mitigation efforts, and how it implemented a price incentive system to motivate individual farms to implement scope 1 greenhouse gas emissions mitigation measures and receive a higher milk price. The... View Details
      Keywords: Dairy Industry; Earnings Management; Environmental Accounting; Animal-Based Agribusiness; Mergers and Acquisitions; Decisions; Voting; Climate Change; Environmental Regulation; Environmental Sustainability; Green Technology; Pollution; Moral Sensibility; Values and Beliefs; Financial Strategy; Price; Profit; Revenue; Food; Geopolitical Units; Cross-Cultural and Cross-Border Issues; Global Strategy; Cooperative Ownership; Performance Efficiency; Performance Evaluation; Problems and Challenges; Natural Environment; Science-Based Business; Business Strategy; Commercial Banking; Cooperation; Corporate Strategy; Motivation and Incentives; Food and Beverage Industry; Agriculture and Agribusiness Industry; Europe; United Kingdom; European Union; Denmark; Sweden; Luxembourg; Belgium
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      Parzen, Michael, Michael W. Toffel, Susan Pinckney, and Amram Migdal. "Arla Foods: Data-Driven Decarbonization (B)." Harvard Business School Supplement 624-036, August 2023. (Revised January 2024.)
      • March–April 2023
      • Article

      Market Segmentation Trees

      By: Ali Aouad, Adam Elmachtoub, Kris J. Ferreira and Ryan McNellis
      Problem definition: We seek to provide an interpretable framework for segmenting users in a population for personalized decision making. Methodology/results: We propose a general methodology, market segmentation trees (MSTs), for learning market... View Details
      Keywords: Decision Trees; Computational Advertising; Market Segmentation; Analytics and Data Science; E-commerce; Consumer Behavior; Marketplace Matching; Marketing Channels; Digital Marketing
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      Aouad, Ali, Adam Elmachtoub, Kris J. Ferreira, and Ryan McNellis. "Market Segmentation Trees." Manufacturing & Service Operations Management 25, no. 2 (March–April 2023): 648–667.
      • 2022
      • Article

      Nonparametric Subset Scanning for Detection of Heteroscedasticity

      By: Charles R. Doss and Edward McFowland III
      We propose Heteroscedastic Subset Scan (HSS), a novel method for identifying covariates that are responsible for violations of the homoscedasticity assumption in regression settings. Viewing the problem as one of anomalous pattern detection, we use subset scanning... View Details
      Keywords: Scan Statistics; Anomaly Detection; Regression; Model Diagnostics
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      Doss, Charles R., and Edward McFowland III. "Nonparametric Subset Scanning for Detection of Heteroscedasticity." Journal of Computational and Graphical Statistics 31, no. 3 (2022): 813–823.
      • 2022
      • Working Paper

      Machine Learning Models for Prediction of Scope 3 Carbon Emissions

      By: George Serafeim and Gladys Vélez Caicedo
      For most organizations, the vast amount of carbon emissions occur in their supply chain and in the post-sale processing, usage, and end of life treatment of a product, collectively labelled scope 3 emissions. In this paper, we train machine learning algorithms on 15... View Details
      Keywords: Carbon Emissions; Climate Change; Environment; Carbon Accounting; Machine Learning; Artificial Intelligence; Digital; Data Science; Environmental Sustainability; Environmental Management; Environmental Accounting
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      Serafeim, George, and Gladys Vélez Caicedo. "Machine Learning Models for Prediction of Scope 3 Carbon Emissions." Harvard Business School Working Paper, No. 22-080, June 2022.
      • March 2022 (Revised January 2025)
      • Technical Note

      Linear Regression

      By: Iavor I. Bojinov, Michael Parzen and Paul Hamilton
      This note provides an overview of linear regression for an introductory data science course. It begins with a discussion of correlation, and explains why correlation does not necessarily imply causation. The note then describes the method of least squares, and how to... View Details
      Keywords: Data Science; Linear Regression; Mathematical Modeling; Mathematical Methods; Analytics and Data Science
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      Bojinov, Iavor I., Michael Parzen, and Paul Hamilton. "Linear Regression." Harvard Business School Technical Note 622-100, March 2022. (Revised January 2025.)
      • March 2022 (Revised January 2025)
      • Technical Note

      Prediction & Machine Learning

      By: Iavor I. Bojinov, Michael Parzen and Paul Hamilton
      This note provides an introduction to machine learning for an introductory data science course. The note begins with a description of supervised, unsupervised, and reinforcement learning. Then, the note provides a brief explanation of the difference between traditional... View Details
      Keywords: Machine Learning; Data Science; Learning; Analytics and Data Science; Performance Evaluation; AI and Machine Learning
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      Bojinov, Iavor I., Michael Parzen, and Paul Hamilton. "Prediction & Machine Learning." Harvard Business School Technical Note 622-101, March 2022. (Revised January 2025.)
      • March 2022
      • Article

      Assessing the Impact of the COVID-19 Pandemic on Clinician Ambulatory Electronic Health Record Use

      By: A Jay Holmgren, Lance Downing, Mitchell Tang, Christopher Sharp, Christopher Longhurst and Robert S. Huckman
      Objective: The COVID-19 pandemic changed clinician electronic health record (EHR) work in a multitude of ways. To evaluate how, we measure ambulatory clinician EHR use in the United States throughout the COVID-19 pandemic.

      Materials and Methods: We use EHR... View Details
      Keywords: Health Care; Electronic Health Records; Productivity; COVID-19 Pandemic; Health Care and Treatment; Health Pandemics; Information Technology; Performance Productivity; United States
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      Holmgren, A Jay, Lance Downing, Mitchell Tang, Christopher Sharp, Christopher Longhurst, and Robert S. Huckman. "Assessing the Impact of the COVID-19 Pandemic on Clinician Ambulatory Electronic Health Record Use." Journal of the American Medical Informatics Association 29, no. 3 (March 2022): 453–460.
      • February 2022
      • Article

      Sugar-sweetened Beverage Purchases and Intake at Event Arenas with and without a Portion Size Cap

      By: Sheri Volger, James Scott Parrott, Brian Elbel, Leslie K. John, Jason P. Block, Pamela Rothpletz-Puglia and Christina A. Roberto
      This is the first real-world study to examine the association between a voluntary 16-ounce (oz.) portion-size cap on sugar-sweetened beverages (SSB) at a sporting arena on volume of SSBs and food calories purchased and consumed during basketball games. Cross-sectional... View Details
      Keywords: Sugar-sweetened Beverages; Nutrition Policy; Obesity Prevention; Portion Sizes; Nutrition; Policy; Health; Behavior
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      Volger, Sheri, James Scott Parrott, Brian Elbel, Leslie K. John, Jason P. Block, Pamela Rothpletz-Puglia, and Christina A. Roberto. "Sugar-sweetened Beverage Purchases and Intake at Event Arenas with and without a Portion Size Cap." Art. 101661. Preventative Medicine Reports 25 (February 2022).
      • June 2021
      • Technical Note

      Introduction to Linear Regression

      By: Michael Parzen and Paul Hamilton
      This technical note introduces (from an applied point of view) the theory and application of simple and multiple linear regression. The motivation for the model is introduced, as well as how to interpret the summary output with regard to prediction and statistical... View Details
      Keywords: Linear Regression; Regression; Analysis; Forecasting and Prediction; Risk and Uncertainty; Theory; Compensation and Benefits; Mathematical Methods; Analytics and Data Science
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      Parzen, Michael, and Paul Hamilton. "Introduction to Linear Regression." Harvard Business School Technical Note 621-086, June 2021.
      • May 2021
      • Article

      Choice Architecture in Physician–patient Communication: A Mixed-methods Assessment of Physicians' Competency

      By: J. Hart, K. Yadav, S. Szymanski, A. Summer, A. Tannenbaum, J. Zlatev, D. Daniels and S.D. Halpern
      Background: Clinicians’ use of choice architecture, or how they present options, systematically influences the choices made by patients and their surrogate decision makers. However, clinicians may incompletely understand this influence.... View Details
      Keywords: Choice Architecture; Health Care and Treatment; Interpersonal Communication; Decision Choices and Conditions; Competency and Skills
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      Hart, J., K. Yadav, S. Szymanski, A. Summer, A. Tannenbaum, J. Zlatev, D. Daniels, and S.D. Halpern. "Choice Architecture in Physician–patient Communication: A Mixed-methods Assessment of Physicians' Competency." BMJ Quality & Safety 30, no. 5 (May 2021).
      • January 2021
      • Article

      Machine Learning for Pattern Discovery in Management Research

      By: Prithwiraj Choudhury, Ryan Allen and Michael G. Endres
      Supervised machine learning (ML) methods are a powerful toolkit for discovering robust patterns in quantitative data. The patterns identified by ML could be used for exploratory inductive or abductive research, or for post-hoc analysis of regression results to detect... View Details
      Keywords: Machine Learning; Supervised Machine Learning; Induction; Abduction; Exploratory Data Analysis; Pattern Discovery; Decision Trees; Random Forests; Neural Networks; ROC Curve; Confusion Matrix; Partial Dependence Plots; AI and Machine Learning
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      Choudhury, Prithwiraj, Ryan Allen, and Michael G. Endres. "Machine Learning for Pattern Discovery in Management Research." Strategic Management Journal 42, no. 1 (January 2021): 30–57.
      • May 2020
      • Article

      Scalable Holistic Linear Regression

      By: Dimitris Bertsimas and Michael Lingzhi Li
      We propose a new scalable algorithm for holistic linear regression building on Bertsimas & King (2016). Specifically, we develop new theory to model significance and multicollinearity as lazy constraints rather than checking the conditions iteratively. The resulting... View Details
      Keywords: Mathematical Methods; Analytics and Data Science
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      Bertsimas, Dimitris, and Michael Lingzhi Li. "Scalable Holistic Linear Regression." Operations Research Letters 48, no. 3 (May 2020): 203–208.
      • 2020
      • Working Paper

      Cutting the Gordian Knot of Employee Health Care Benefits and Costs: A Corporate Model Built on Employee Choice

      By: Regina E. Herzlinger and Barak D. Richman
      The U.S. employer-based health insurance tax exclusion created a system of employer-sponsored insurance (ESI) with limited insurance choices and transparency that may lock employed households into health plans that are costlier or different from those they prefer to... View Details
      Keywords: After-tax Income; Consumer-driven Health Care; Health Care Costs; Health Insurance; Income Inequality; Tax Policy; Health Care and Treatment; Cost; Insurance; Employees; Income; Taxation; Policy; United States
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      Herzlinger, Regina E., and Barak D. Richman. "Cutting the Gordian Knot of Employee Health Care Benefits and Costs: A Corporate Model Built on Employee Choice." Duke Law School Public Law & Legal Theory Series, No. 2020-4, December 2019. (Revised January 2021.)
      • October 2018
      • Article

      A Theory of Intergenerational Mobility

      By: Gary Becker, Scott Duke Kominers, Kevin Murphy and Jorg L. Spenkuch
      We develop a model of intergenerational resource transmission that emphasizes the link between cross-sectional inequality and intergenerational mobility. By drawing on first principles of human capital theory, we derive several novel results. In particular, we show... View Details
      Keywords: Intergenerational Mobility; Inequality; Complementarities; Equality and Inequality; Human Capital; Income; Family and Family Relationships
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      Becker, Gary, Scott Duke Kominers, Kevin Murphy, and Jorg L. Spenkuch. "A Theory of Intergenerational Mobility." Journal of Political Economy 126, no. S1 (October 2018): S7–S25.
      • Article

      Applying Random Coefficient Models to Strategy Research: Identifying and Exploring Firm Heterogeneous Effects

      By: Juan Alcácer, Wilbur Chung, Ashton Hawk and Gonçalo Pacheco-de-Almeida
      Strategy aims at understanding the differential effects of firms’ actions on performance. However, standard regression models estimate only the average effects of these actions across firms. Our paper discusses how random coefficient models (RCMs) may generate new... View Details
      Keywords: Strategy; Research; Competitive Advantage; Competitive Strategy; Performance
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      Alcácer, Juan, Wilbur Chung, Ashton Hawk, and Gonçalo Pacheco-de-Almeida. "Applying Random Coefficient Models to Strategy Research: Identifying and Exploring Firm Heterogeneous Effects." Strategy Science 3, no. 3 (September 2018): 481–553.
      • 2018
      • Working Paper

      Opportunistic Returns and Dynamic Pricing: Empirical Evidence from Online Retailing in Emerging Markets

      By: Chaithanya Bandi, Antonio Moreno, Donald Ngwe and Zhiji Xu
      We investigate how dynamic pricing can lead to more product returns in the online retail industry. Using detailed sales data of more than two million transactions from the Indian online retail market, where price promotions are very common, we document two types of... View Details
      Keywords: Cash On Delivery; Dynamic Pricing; Online Retail; Payment Methods; Strategic Customer Behavior; Opportunistic Returns; Price; Policy; Consumer Behavior; Emerging Markets; Retail Industry
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      Bandi, Chaithanya, Antonio Moreno, Donald Ngwe, and Zhiji Xu. "Opportunistic Returns and Dynamic Pricing: Empirical Evidence from Online Retailing in Emerging Markets." Harvard Business School Working Paper, No. 19-030, September 2018.
      • August 2018 (Revised September 2018)
      • Supplement

      Predicting Purchasing Behavior at PriceMart (B)

      By: Srikant M. Datar and Caitlin N. Bowler
      Supplements the (A) case. In this case, Wehunt and Morse are concerned about the logistic regression model overfitting to the training data, so they explore two methods for reducing the sensitivity of the model to the data by regularizing the coefficients of the... View Details
      Keywords: Data Science; Analytics and Data Science; Analysis; Customers; Household; Forecasting and Prediction
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      Datar, Srikant M., and Caitlin N. Bowler. "Predicting Purchasing Behavior at PriceMart (B)." Harvard Business School Supplement 119-026, August 2018. (Revised September 2018.)
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