Dharam Chopra, Professor
Statistics, Combinatorial Mathematics; PhD, University of Nebraska, 1968
Awards
University Research Grants: 1998-2004
PhD Students
Mohammad Bsharat, "On the Existence of Balanced Arrays with Two Symbols", PhD thesis, 2002
Research
Professor Chopra's research interests are in the areas of Statistical
Design of Experiments, Combinatorial Mathematics, and Graph Theory. A part of
his publications include numerous papers on the construction of optimal
fractional factorial designs, some of which have been shown to be optimal in
the class of all fractional factorial designs. He has published extensively on
some combinatorial arrays such as Balanced Arrays and Orthogonal Arrays. He
has also made contributions to the area of Graph Theory, in particular dealing
with edge-balanced graphs.
Selected Publications
- D.V.Chopra, Trace-optimal balanced reduced designs of resolution V for 9
factors, each at two levels, with 46 to 54 runs Journal of the Indian
Statistical Association, 15, 1977, 179-186.
- D.V.Chopra, A note on an upper bound for the constraints of balanced
arrays of strength t Commun. Statist., 12,1983, 1755-1760.
- D.V.Chopra, Contributions to the existence of some combinatorial arrays,
Congressus Numerantium, 93, 1993, 183-186.
- D.V.Chopra, Contributions to balanced arrays of strength five, The
Journal of Combinatorial Mathematics and Combinatorial Computing, 27, 1998, 123-128.
- D.V.Chopra and R.Dios', Contributions to the existence of balanced arrays
of strength six, Journal of Combinatorics, Information and System Sciences
23, 1998, 345-350.
- R.Dios' and D.V.Chopra, On the non-existence of some orthogonal
arrays, The Journal of Combinatorial Mathematics and Combinatorial Computing,
54, 2005, 129-136.