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      • March–April 2024
      • Article

      Retailers and Health Systems Can Improve Care Together

      By: Robert S. Huckman, Vivian S. Lee and Bradley R Staats
      Health systems are struggling to address the many shortcomings of health care delivery: rapidly growing costs, inconsistent quality, and inadequate and unequal access to primary and other types of care. However, if retailers and health systems were to form strong... View Details
      Keywords: Health Care; Retail; Retailers; Consumer; Health Care and Treatment; Value; Consumer Behavior; Business Model; Partners and Partnerships; Health Industry; Retail Industry; United States
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      Huckman, Robert S., Vivian S. Lee, and Bradley R Staats. "Retailers and Health Systems Can Improve Care Together." Harvard Business Review 102, no. 2 (March–April 2024): 120–127.
      • March 2022 (Revised January 2025)
      • Technical Note

      Exploratory Data Analysis

      By: Iavor I. Bojinov, Michael Parzen and Paul Hamilton
      This module note provides an overview of exploratory data analysis for an introduction to data science course. It begins by defining the term "data", and then describes the different types of data that companies work with (structured v. unstructured, categorical v.... View Details
      Keywords: Data Analysis; Data Science; Statistics; Data Visualization; Exploratory Data Analysis; Analytics and Data Science; Analysis
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      Bojinov, Iavor I., Michael Parzen, and Paul Hamilton. "Exploratory Data Analysis." Harvard Business School Technical Note 622-098, March 2022. (Revised January 2025.)
      • 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

      Statistical Inference

      By: Iavor I. Bojinov, Michael Parzen and Paul Hamilton
      This note provides an overview of statistical inference for an introductory data science course. First, the note discusses samples and populations. Next the note describes how to calculate confidence intervals for means and proportions. Then it walks through the logic... View Details
      Keywords: Data Science; Statistics; Mathematical Modeling; Mathematical Methods; Analytics and Data Science
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      Bojinov, Iavor I., Michael Parzen, and Paul Hamilton. "Statistical Inference." Harvard Business School Technical Note 622-099, March 2022. (Revised January 2025.)
      • March 2022
      • Article

      Estimating the Effectiveness of Permanent Price Reductions for Competing Products Using Multivariate Bayesian Structural Time Series Models

      By: Fiammetta Menchetti and Iavor Bojinov
      Researchers regularly use synthetic control methods for estimating causal effects when a sub-set of units receive a single persistent treatment, and the rest are unaffected by the change. In many applications, however, units not assigned to treatment are nevertheless... View Details
      Keywords: Causal Inference; Partial Interference; Synthetic Controls; Bayesian Structural Time Series; Mathematical Methods
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      Menchetti, Fiammetta, and Iavor Bojinov. "Estimating the Effectiveness of Permanent Price Reductions for Competing Products Using Multivariate Bayesian Structural Time Series Models." Annals of Applied Statistics 16, no. 1 (March 2022): 414–435.
      • 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.
      • February 2021
      • Tutorial

      Getting Started in RStudio Cloud

      By: Chiara Farronato and Caleb Kwon
      This video provides an introduction to the free programming language R using an online cloud version of RStudio, which is the most popular editor and interface for writing and executing R code. The video begins by providing a brief background of R and RStudio and... View Details
      Keywords: Data Analysis; Data Analytics; Experiment; Experimental Design; Analytics and Data Science; Analysis; Applications and Software
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      Farronato, Chiara, and Caleb Kwon. Getting Started in RStudio Cloud. Harvard Business School Tutorial 621-708, February 2021.
      • February 2021
      • Technical Note

      Probability Distributions

      By: Michael Parzen and Paul Hamilton
      This technical note introduces students to the concept of random variables, and from there the normal and binomial distributions. After a brief introduction to random variables, the note describes the standard properties of the normal distribution: a single peak, and a... View Details
      Keywords: Analysis; Risk and Uncertainty; Theory; Analytics and Data Science
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      Parzen, Michael, and Paul Hamilton. "Probability Distributions." Harvard Business School Technical Note 621-704, February 2021.
      • 2021
      • Article

      Prisoners, Rooms, and Lightswitches

      By: Daniel M. Kane and Scott Duke Kominers
      We examine a new variant of the classic prisoners and lightswitches puzzle: A warden leads his n prisoners in and out of r rooms, one at a time, in some order, with each prisoner eventually visiting every room an arbitrarily large number of times. The... View Details
      Keywords: Mathematical Methods
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      Kane, Daniel M., and Scott Duke Kominers. "Prisoners, Rooms, and Lightswitches." Electronic Journal of Combinatorics 28, no. 1 (2021).
      • January 2021
      • Case

      The FIRE Savings Calculator

      By: Michael Parzen and Paul Hamilton
      This case follows Carol Muñoz, a member of the Financial Independence, Retire Early (FIRE) lifestyle movement. At the age of 45, Carol is considering retiring and living off the $1 million she has accumulated. Using Monte Carlo simulation, Carol forecasts the... View Details
      Keywords: Analysis; Forecasting and Prediction; Financial Strategy; Investment Portfolio; Investment Return; Personal Finance; Saving; Risk and Uncertainty; Diversification; Theory; Personal Development and Career; Financial Services Industry
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      Parzen, Michael, and Paul Hamilton. "The FIRE Savings Calculator." Harvard Business School Case 621-087, January 2021.
      • March 2015 (Revised January 2024)
      • Case

      CV Ingenuity (A): How to Evaluate the Commercial Viability of New Health Care Technologies

      By: Regina E. Herzlinger and Andrew Otazo
      Duke Rohlen (HBS MBA ’01) hoped to win over a prominent venture capital investor for Series B financing of his firm CVI that was creating a drug-eluting balloon (DES) to treat peripheral arterial disease. As a second-mover, Duke felt he was more likely to acquire... View Details
      Keywords: CV Ingenuity; CVI; Drug Eluting Balloon; DEB; Drug Eluting Stent; Angioplasty Balloon; FoxHollow; Medical Device; Medical Device Startup; Premarket Approval; PMA; Lutonix; Stellarex; LEVANT; ILLUMENATE; Clinical Trials; Peripheral Arterial Disease; PAD; Healthcare Startups; Covidien; Health Care and Treatment; Health Testing and Trials; Business Startups; Commercialization; Health Industry; Medical Devices and Supplies Industry; United States; Europe
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      Herzlinger, Regina E., and Andrew Otazo. "CV Ingenuity (A): How to Evaluate the Commercial Viability of New Health Care Technologies." Harvard Business School Case 315-045, March 2015. (Revised January 2024.)
      • Article

      Asymptotic Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions

      By: Daniel M. Kane and Scott Duke Kominers
      For relatively prime positive integers and r, we consider the least common multiple L_n:=\mathop{\textrm{lcm}}(u_0,u_1,\dots, u_n) of the finite arithmetic progression \{u_k:=u_0+kr\}_{k=0}^n. We derive new lower bounds on L_n that improve upon those obtained... View Details
      Keywords: Mathematical Methods
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      Kane, Daniel M., and Scott Duke Kominers. "Asymptotic Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions." Canadian Mathematical Bulletin 57, no. 3 (September 2014): 551–561.
      • Article

      Improved Bounds on the Sizes of S.P Numbers

      By: Paul Myer Kominers and Scott Duke Kominers
      A number which is S.P in base r is a positive integer which is equal to the sum of its base-r digits multiplied by the product of its base-r digits. These numbers have been studied extensively in The Mathematical Gazette. Recently, Shah Ali... View Details
      Keywords: Mathematical Methods
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      Kominers, Paul Myer, and Scott Duke Kominers. "Improved Bounds on the Sizes of S.P Numbers." Mathematical Gazette 94, no. 529 (March 2010): 127–129.
      • January 2009 (Revised June 2010)
      • Case

      Cisco Systems (2001): Building and Sustaining a Customer-Centric Culture

      By: Ranjay Gulati
      Customer centricity has been an important part of the culture at Cisco Systems since its inception. While part of this is attributable to values put in place by the founders and retained by subsequent management, it is also closely interwoven with its organizational... View Details
      Keywords: Customer Satisfaction; Organizational Design; Organizational Structure; Organizational Change and Adaptation; Change Management; Organizational Culture; Research and Development; Job Cuts and Outsourcing; Employees; Brands and Branding; Customer Relationship Management; Business Units
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      Gulati, Ranjay. "Cisco Systems (2001): Building and Sustaining a Customer-Centric Culture." Harvard Business School Case 409-061, January 2009. (Revised June 2010.)
      • 2005
      • Other Unpublished Work

      Value-Added Taxes and International Trade: The Evidence

      By: Mihir A. Desai and James R Hines Jr.
      Keywords: Taxation; Trade; Globalized Firms and Management
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      Desai, Mihir A., and James R Hines Jr. "Value-Added Taxes and International Trade: The Evidence." March 2005.
      • January 2002
      • Case

      Teledesic

      By: Thomas R. Eisenmann, Daniel J. Green and Douglas R Rogers
      Management of a satellite-delivered broadband data communications company sets strategy in an uncertain environment, using Michael Porter's scenario planning tools to assess likely outcomes and determine which actions to take. This case draws a distinction between... View Details
      Keywords: Business Model; Business or Company Management; Infrastructure; Strategic Planning; Risk and Uncertainty; Strategy; Internet; Information Technology Industry
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      Eisenmann, Thomas R., Daniel J. Green, and Douglas R Rogers. "Teledesic." Harvard Business School Case 802-154, January 2002.
      • June 2001
      • Case

      ESL Golf (A)

      By: Carliss Y. Baldwin and Christopher R Gordon
      Todd Peterson and his colleagues have spent five weeks analyzing CMP Capital Partners' potential leveraged buyout of ESL Golf. They are about to present their analysis and bid proposal to the investment committee, consisting of all CMP partners, which must approve any... View Details
      Keywords: Leveraged Buyouts; Private Equity; Auctions; Bids and Bidding; Valuation
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      Baldwin, Carliss Y., and Christopher R Gordon. "ESL Golf (A)." Harvard Business School Case 801-429, June 2001.
      • June 2001
      • Case

      ESL Golf (B)

      By: Carliss Y. Baldwin and Christopher R Gordon
      Supplements the (A) case. View Details
      Keywords: Leveraged Buyouts; Auctions; Bids and Bidding; Private Equity; Valuation
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      Baldwin, Carliss Y., and Christopher R Gordon. "ESL Golf (B)." Harvard Business School Case 801-430, June 2001.
      • June 2001
      • Supplement

      ESL Golf Model Overview and Navigation Instructions

      By: Carliss Y. Baldwin and Christopher R Gordon
      Supplements the (A) case. View Details
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      Baldwin, Carliss Y., and Christopher R Gordon. "ESL Golf Model Overview and Navigation Instructions." Harvard Business School Supplement 801-457, June 2001.
      • November 1999
      • Case

      IBM Ireland: Reinventing Education Crosses the Atlantic

      By: Rosabeth M. Kanter and John R. R Scannell
      IBM has just launched an innovation partnership with the Irish Ministry of Education to bring information technology to Irish schools. Wired for Learning was developed in the United States; how well will it be applied in Ireland? View Details
      Keywords: Technological Innovation; Partners and Partnerships; Innovation Strategy; Education; Technology Adoption; Government and Politics; Technology Industry; Education Industry; United States; Republic of Ireland
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      Kanter, Rosabeth M., and John R. R Scannell. "IBM Ireland: Reinventing Education Crosses the Atlantic." Harvard Business School Case 300-034, November 1999.
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