Publication

Constrained Inverse Regression for Incorporating Prior Information
Journal of the American Statistical Association

Co-authors Chih-Ling Tsai

Inverse regression methods facilitate dimension-reduction analyses of high-dimensional data by extracting a small number of factors that are linear combinations of the original predictor variables. But the estimated factors may not lend themselves readily to interpretation consistent with prior information. Our approach to solving this problem is to first incorporate prior information via theory- or data-driven constraints on model parameters, and then apply the proposed method, constrained inverse regression (CIR), to extract factors that satisfy the constraints. We provide chi-squared and t tests to assess the significance of each factor and its estimated coefficients, and we also generalize CIR to other inverse regression methods in situations where both dimension reduction and factor interpretation are important. Finally, we investigate CIR’s small-sample performance, test data-driven constraints, and present a marketing example to illustrate its use in discovering meaningful factors that influence the desirability of brand logos.

Books

Commands

Twitter Feed

Loading tweets...

News Release

UC Davis Graduate School of Management partners with Lawrence Livermore and Sandia National Labs to drive technologies from lab to market

Image of UC Davis Graduate School of Management partners with Lawrence Livermore and Sandia National Labs to drive technologies from lab to market

(Davis, Calif.) – With a joint goal of speeding the transfer of new technologies from the laboratory to the commercial marketplace, the UC Davis Graduate School of Management, Lawrence Livermore National Laboratory and Sandia National Laboratories have announced a new partnership for researchers to develop their entrepreneurial skills.

Spotlight Story

Vickie Sherman MBA 13 Finds Her Passion, Her Career—and Herself

Image of Vickie Sherman MBA 13 Finds Her Passion, Her Career—and Herself

What opportunities, decisions, events have shaped your professional life?

My career path has been a climb across a jungle gym rather than a tangent up a corporate ladder. As a child, I used to thumb through the three-inch JCPenney catalogue, picking out the professional women who I would grow to be. I wanted to rule the world from a corner office in a suit and heels. I wanted to shed my humble origins and become Corporate Barbie.

Spotlight Story

MBA Student Consultants Make an IMPACT
Projects Put Business Needs Front and Center

Image of MBA Student Consultants Make an IMPACT

Agilent Technologies’ Electronic Measurement Group is a $3.6 billion business that over the past decade has seen a dramatic shift in its customer base from U.S., and Western European customers to predominantly Asia-based customers. Today, the majority of the division’s revenues are generated outside of the U.S., with an increasing concentration in China.

Spotlight Story

UC Davis Part-Time MBA in Top 8%, Full-Time MBA in Top 9%
U.S. News & World Report’s latest rankings: This marks the 19th consecutive year our MBA program has been ranked among the best in the nation.

Image of  UC Davis Part-Time MBA in Top 8%, Full-Time MBA in Top 9%

(Davis, CA) — The UC Davis Graduate School of Management’s full-time MBA program has been ranked among the top six percent of AACSB International-accredited programs nationwide, according to U.S. News & World Report’s latest graduate business school rankings released today.