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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
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
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
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
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
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
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
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
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
- 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
- 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
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
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
- 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
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
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
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
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.
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
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
- June 2001
- Case
ESL Golf (B)
By: Carliss Y. Baldwin and Christopher R Gordon
Supplements the (A) case. View Details
- June 2001
- Supplement
ESL Golf Model Overview and Navigation Instructions
By: Carliss Y. Baldwin and Christopher R Gordon
Supplements the (A) case. View Details
- 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
Kanter, Rosabeth M., and John R. R Scannell. "IBM Ireland: Reinventing Education Crosses the Atlantic." Harvard Business School Case 300-034, November 1999.