Publications

Teaching Interest

Leading with People Analytics; HBS MBA Elective; 2021

Teaching fellow for course on using data science to make decisions about people, such as hiring, firing, promotion, team composition, etc.
Led weekly student review sessions teaching statistics and the R... View Details

Research Summary

Research Interests

Research interests are focused on issues of innovation and productivity as they relate to improved outcomes in biotechnology and pharmaceutical R and D. These span topics from decision-making, organizational structure and communication, to the development of novel... View Details

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

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

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

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

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

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

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

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

2009
Working Paper

Corrigendum to 'Resource-Monotonicity for House Allocation Problems'

By: Bettina-Elisabeth Klaus and Lars Ehlers

Ehlers and Klaus (2003) study so-called house allocation problems and claim to characterize all rules satisfying efficiency, independence of irrelevant objects, and resource-monotonicity on two preference domains (Ehlers and Klaus, 2003, Theorem 1).... View Details

Keywords: Equality and Inequality; Resource Allocation

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

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

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

October–December 2022
Article

How Psychological Safety and Feeling Heard Relate to Burnout and Adaptation Amid Uncertainty

By: Michaela J. Kerrissey, Tuna Cem Hayirli, Aditi Bhanja, Nicholas Stark, James Hardy and Christopher Peabody

Background: Psychological safety—the belief that it is safe to speak up—is vital amid uncertainty, but its relationship to feeling heard is not well understood.
Purpose: The aims of this study were (a) to measure feeling heard and (b) to assess... View Details

Keywords: Burnout; Crisis; Psychological Safety; Feeling Heard; Process Adaptation; Interpersonal Communication; Well-being; Health Care and Treatment; Adaptation

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