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Show Results For
- All HBS Web
(837)
- News (79)
- Research (639)
- Events (12)
- Multimedia (4)
- Faculty Publications (632)
- February 1996
- Exercise
Problems in Variance Analysis
By: William J. Bruns Jr.
Keywords: Mathematical Methods
Bruns, William J., Jr. "Problems in Variance Analysis." Harvard Business School Exercise 196-120, February 1996.
- May 1983
- Article
Optimality Conditions and Strong Duality in Abstract and Continuous Time Linear Programming
By: André Perold and R. Meidan
Keywords: Mathematical Methods
Perold, André, and R. Meidan. "Optimality Conditions and Strong Duality in Abstract and Continuous Time Linear Programming." Journal of Optimization Theory and Applications 40, no. 1 (May 1983): 61–76.
- February 2005 (Revised November 2006)
- Background Note
Using Data Desk for Statistical Analysis
By: Frances X. Frei and Dennis Campbell
Describes how to use the Data Desk software package to perform statistical analysis. View Details
Keywords: Mathematical Methods
Frei, Frances X., and Dennis Campbell. "Using Data Desk for Statistical Analysis." Harvard Business School Background Note 605-060, February 2005. (Revised November 2006.)
- March 2004
- Tutorial
Variance Analysis Tutorial
By: David F. Hawkins and Jacob Cohen
An interactive tutorial on variance analysis, flexible budgets, and overhead allocation. View Details
Keywords: Mathematical Methods
- 1977
- Article
On the Joint Distribution of Left- and Right-sided Outliner Statistics
By: André Perold and D. M. Hawkins
Keywords: Mathematical Methods
Perold, André, and D. M. Hawkins. "On the Joint Distribution of Left- and Right-sided Outliner Statistics." Utilitas mathematica 12 (1977): 129–143.
- Article
Mitigating Bias in Adaptive Data Gathering via Differential Privacy
By: Seth Neel and Aaron Leon Roth
Data that is gathered adaptively—via bandit algorithms, for example—exhibits bias. This is true both when gathering simple numeric valued data—the empirical means kept track of by stochastic bandit algorithms are biased downwards—and when gathering more complicated... View Details
Neel, Seth, and Aaron Leon Roth. "Mitigating Bias in Adaptive Data Gathering via Differential Privacy." Proceedings of the International Conference on Machine Learning (ICML) 35th (2018).
- June 2005 (Revised March 2006)
- Case
E Ink in 2005
By: David B. Yoffie and Barbara Mack
Explores the challenges of commercializing a bleeding-edge technology. After seven years, E Ink has spent more than $100 million to commercialize electronic ink. With business momentum picking up, but resources running out, the case examines the key trade-offs in... View Details
Keywords: Technological Innovation; Commercialization; Mathematical Methods; Consumer Products Industry; Technology Industry
Yoffie, David B., and Barbara Mack. "E Ink in 2005." Harvard Business School Case 705-506, June 2005. (Revised March 2006.)
- Profile
Mike Watitwa
to good schools, some of which were well beyond his means. He also had an unrivalled work ethic. He would wake up early in the morning and till the farm for about an hour before preparing to go to the nearby high school where he was a View Details
- 01 Jun 2017
- News
Ask the Expert: On the Fly
(above: photo by Getty Images/Patrick Foto) A mathematics major, Don Carty (MBA 1971) has always seen the airline business as a huge puzzle, with the equation involving inventory and pricing, cruising allocations, weather, and holiday... View Details
Keywords: Julia Hanna
- Article
Eliminating Unintended Bias in Personalized Policies Using Bias-Eliminating Adapted Trees (BEAT)
By: Eva Ascarza and Ayelet Israeli
An inherent risk of algorithmic personalization is disproportionate targeting of individuals from certain groups (or demographic characteristics such as gender or race), even when the decision maker does not intend to discriminate based on those “protected”... View Details
Keywords: Algorithm Bias; Personalization; Targeting; Generalized Random Forests (GRF); Discrimination; Customization and Personalization; Decision Making; Fairness; Mathematical Methods
Ascarza, Eva, and Ayelet Israeli. "Eliminating Unintended Bias in Personalized Policies Using Bias-Eliminating Adapted Trees (BEAT)." e2115126119. Proceedings of the National Academy of Sciences 119, no. 11 (March 8, 2022).
- January 2006
- Tutorial
Cost-Volume Profit Models
By: David F. Hawkins, V.G. Narayanan, Jacob Cohen and Michele Jurgens
Covers fixed, variable, and semivariable costs and their role in building and interpreting cost-volume-profit models. Introduces the cost-volume and contribution-volume-profit models and identifies some of their uses and limitations. Teaches how to use the... View Details
- 2007
- Working Paper
Mental Accounting and Small Windfalls: Evidence from an Online Grocer
By: Katherine L. Milkman, John Beshears, Todd Rogers and Max H. Bazerman
We study the effect of small windfalls on consumer spending decisions by examining the purchasing behavior of a sample of online grocery shoppers over the course of a year. We compare the purchases customers make when redeeming a $10-off coupon they received from their... View Details
Keywords: Spending; Consumer Behavior; Mathematical Methods; Food and Beverage Industry; Retail Industry
Milkman, Katherine L., John Beshears, Todd Rogers, and Max H. Bazerman. "Mental Accounting and Small Windfalls: Evidence from an Online Grocer." Harvard Business School Working Paper, No. 08-024, September 2007. (Revised March 2008.)
- 01 Oct 1999
- News
Finance Conference Explores Research Methodologies
used traditional methods of inquiry - mathematical theory or statistical analysis, for instance - while others employed interviews, primary company materials, surveys, and close examination of the trading of individual securities. A... View Details
- January 2008 (Revised April 2008)
- Teaching Note
Pilgrim Bank (B): Statistics Review with Data Desk
By: Frances X. Frei
Teaching Note for 602095. View Details
- September 1993 (Revised August 2011)
- Exercise
ExtendSim® Simulation Exercises in Process Analysis (B)
By: Roy D. Shapiro
Second set of exercises meant to be used with ExtendSim, a simulation package created by Imagine That, Inc. of San Jose, California, that allows students to investigate the impact of adding buffers to simple in-line processes with uncertain processing times. View Details
Shapiro, Roy D. "ExtendSim® Simulation Exercises in Process Analysis (B)." Harvard Business School Exercise 694-040, September 1993. (Revised August 2011.)
- 2006
- Chapter
Interorganizational Cooperation between Not-for-profit Organizations: A Relational Analysis
By: Julie Battilana and Metin Sengul
Battilana, Julie, and Metin Sengul. "Interorganizational Cooperation between Not-for-profit Organizations: A Relational Analysis." In Relational Perspectives in Organization Studies: A Research Companion, edited by Olympia Kyriakidou and Mustafa F. Özbilgin, 197–220. Cheltenham, U.K.: Edward Elgar Publishing, 2006.
- January 1971 (Revised November 1975)
- Background Note
Linear Programming: A Technique for Analyzing Resource Allocation Problems
By: Paul W. Marshall
Marshall, Paul W. "Linear Programming: A Technique for Analyzing Resource Allocation Problems." Harvard Business School Background Note 171-322, January 1971. (Revised November 1975.)
- 2022
- Article
Data Poisoning Attacks on Off-Policy Evaluation Methods
By: Elita Lobo, Harvineet Singh, Marek Petrik, Cynthia Rudin and Himabindu Lakkaraju
Off-policy Evaluation (OPE) methods are a crucial tool for evaluating policies in high-stakes domains such as healthcare, where exploration is often infeasible, unethical, or expensive. However, the extent to which such methods can be trusted under adversarial threats... View Details
Lobo, Elita, Harvineet Singh, Marek Petrik, Cynthia Rudin, and Himabindu Lakkaraju. "Data Poisoning Attacks on Off-Policy Evaluation Methods." Proceedings of the Conference on Uncertainty in Artificial Intelligence (UAI) 38th (2022): 1264–1274.