This award was established in 1975 to honor the many contributions of Frank Graybill, founder and former chairman of the department: as a teacher and researcher, and for outstanding service to the profession. It is awarded annually to a graduate student who is selected as the top student in linear models
- 2023 – Hongyang Lu
- 2022 – Wilson Wright
- 2021 – Gray Stanton & Xiangdong Meng
- 2020 – Wenqin Du and Sierra Pugh
- 2019 – Ian Taylor
- 2018 – Robert McAndrew
- 2017 – Jialuo Liu
- 2016 – Qian Xiong
- 2015 – Cristian Oliva
- 2014 – Henry Scharf
- 2013 – Ryan Haunfelder
- 2012 – Ela Sienkiewicz and Lulu Wan
- 2010 – Yuan Wang and Nicholas Cummings
- 2009 – Hsin-wen Alice Chang and Hongyu Mike Tan
- 2008 – Wentao Li
- 2007 – Maggie Stanislawski and Stephanie Fitchett
- 2006 – Damian Wandler
- 2005 – Wenying Huang and Ke Wang
- 2004 – Vicky Yang and Todd Iverson
- 2003 – Siobhan Everson-Stewart and Rongning Wu
- 2002 – Brett Kellum
- 2001 – Jiang-Jiang Yang
- 2000 – Ann M. Hess and Devin Johnson
- 1999 – Paul L. Patterson, III
- 1998 – Alex Trindade
- 1997 – Jem Corcoran and Sarah Streett
- 1996 – Paul Roback
- 1995 – Marc A. Mason
- 1994 – Ying Wang
- 1993 – Brent D. Burch and Char Ngan Wong
- 1992 – Bradley Biggerstaff and Eileen Brown
- 1991 – Brian L. Wiens
- 1990 – Michael C. Mosier
- 1989 – F. Jay Breidt
- 1988 – Mark A. Felthauser
- 1986 – Diane Throop
- 1985 – Robert Ahlbrandt and Naitee Ting
- 1984 – Joseph Mandarino and Jeri Metzger
- 1983 – Syamala Srinivasan
- 1982 – Hsin-Gee Li
- 1981 – Jana McCaulley
- 1980 – Aldo Vecchia
- 1979 – John R. Beri and B. Thomas Carr
- 1978 – David D. Deane
- 1977 – Lee D. Kaiser
- 1976 – Garry L. Routledge
