Individual Faculty

Dr. Harold B. Sackrowitz

Department of Statistics
Hill Center, Busch Campus,
Piscataway NJ 08854-8019
Phone: (732) 445-6395


Columbia University, Ph.D. (Mathematical Statistics) 1968,
New York, NY

Brooklyn College, B.S. (Mathematics) 1963, Brooklyn, NY

Ph.D. Thesis Advisor: Professor Alvin Baranchik


Graduate Director - Department of Applied and Mathematical Statistics, Rutgers University (1977 to 1995): Duties include: teaching, research, responsibility for departmental involvement with the Graduate School and serving as the advisor for all graduate and undergraduate statistics students. Responsibilities also include a review of performance and the registration of all students each semester as well as the review of all materials relating to new applications for admission to the graduate program.

Professor - Department of Applied and Mathematical Statistics,
Rutgers University (1981 to present).

Associate Professor - Department of Applied and Mathematical Statistics,
Rutgers University (1972 to 1981).
Duties - mainly teaching and research.

Assistant Professor - Department of Applied and Mathematical Statistics,
Rutgers University (1968 to 1972).
Duties - mainly teaching and research.

Statistician - Western Electric Research Center (Summer, 1969).
Duties - research and assist group in quality assurance.

Research Statistician - Columbia University Electronics Research Laboratories (Summers 1965, 1966).
Duties - research.

Honors, Assistantships, Fellowships and Grants

Mathematics award at High School Graduation; elected to Pi Mu Epsilon and Sigma Xi at college; graduated college cum laude with honors in mathematics; Assistantship and N.S.F. trainee-ship while at Columbia Unversity. Research supported by U.S. Army Research Office-Durham (during summers of 1965 and 1966) ; Research supported by the National Science Foundation from September 1969- September 1971; from July 1978-July 1979; from July 1985-July 1988; from July 1989-July 2000. Research supported by NSA July 1998-July 2000; July 2002-July 2003; July 2005-July 2009; NSF July 2005-July 2007.


Institute of Mathematical Statistics (Fellow); American Statistical Association (Fellow).

Professional Services

Referee for NSF, Annals of Statistics, Journal of Quality Technology, JASA, Technometrics, Institute of Statistical Mathematics, JRSS, Communications in Statistics, Probability and Statistics Letter, Journal of Statistical Planning & Inference, Computational Statistics and Data Analysis. Standards reviewer for ASQC Standards Council


1. Distributions associated with the quadrivariate normal. J. Ind. Math. Soc. 15 (1965), 1-14 (with K. S. Miller).

2. Multidimensional distributions of invariant vector functions. J. Ind. Math. Soc. 17 (1967), 57-67.

3. Relationships between biased and unbiased Rayleigh distributions. SIAM J. Appl. Math. 15 (1967), 1490-1495 (with K. S. Miller).

4. Estimation for monotone parameter sequences: The discrete case. Ann. Math. Statist. 41 (1970), 609-620.

5. Estimation of the last mean of a monotone sequence. Ann. Math. Statist. 41 (1970), 2021-2034 (with A. Cohen).

6. A note on approachability in a two person game. Ann. Math. Statist. 43 (1972), 1017-1019.

7. Alternative multilevel sampling plans. Technometrics 14 (1972), 645-652.

8. On the admissibility of M.L.E.'s for ordered binomial parameters. Ann. Statist. 2 (1974), 822-828 (with W. Strawderman).

9. On estimating the common mean of two normal distributions. Ann. Statist. 2 (1974), 1274-1282 (with A.Cohen).

10. Optimal inspection procedures for stationary Markov chains. Manag. Sci. Theory 21 (1974), 261-270 (with E. Samuel-Cahn).

11. Some optimality properties for chi-square, likelihood ratio, and other goodness of fit tests. Ann. Statist. 3 (1975), 959- 964 (with A. Cohen).

12. A note on unrestricted AOQL's. J. Qual. Tech. 7 (1975), 77-80.

13. Admissibility of chi-square, likelihood ratio and other goodness of fit tests. Sankhya 38B (1976), 350-355 (with A. Cohen).

14. Hypothesis testing for the common mean and balanced incomplete block designs. Ann. Statist. 5 (1977), 1196-1211 (with A. Cohen).

15. The influence of the non-recent past in prediction for stochastic processes. J. Mult. Anal. 9 (1979), 222-233.

16. ARL comparisons for multi-level sampling plans. Frontiers in Stat. Qual. Cont. (1981), 235-241.

17. Estimating the mean of the selected population. Proc.Third Symposium on Statistical Decision Theory and Related Topics. Purdue University, 1981 (with A. Cohen).

18. Procedures for improving the m.l.e. for ordered binomial parameters. J. Stat. Planning and Inference 6 (1982), 287-296.

19. Testing hypotheses about the common mean of Normal distributions. J. Stat. Planning and Inference 9 (1984), 207- 227 (with A. Cohen).

20. An alternative to Student's t-test for problems with an indifference zone. Ann. Statist. 12 (1984), 451-469 (with L. D. Brown).

21. Bayes double sample estimation procedures. Ann. Statist. 12 (1984), 1035-1049 (with A. Cohen).

22. Results on double sample estimation for the binomial distribution. Ann. Statist. 12 (1984), 1109-1116 (with A. Cohen).

23. Estimation of the mean of a selected negative exponential population. JRSS B 46 (1984), 242-249 (with E. Samuel-Cahn).

24. Decision theory results for vector risks with application. Statist. and Decisions (1984), Supplement issue I, 159-174 (with A. Cohen).

25. Toward a determination of optimal multilevel sampling plans. Naval Res. Logistics Quart. 32 (1985), 53-56.

26. Multivariate locally most powerful unbiased tests. Multi- variate Analysis VI, 1985, Krishnaiah, P. R., editor, North- Holland Publ.Co., 121-144 (with A. Cohen and W.Strawderman).

27. Evaluating the chosen population: A Bayes minimax approach. IMS Lecture Notes and Monograph Series: Adaptive Statistical Procedures and Related Topics. J. Van Ryzin, editor, 1987, 386-395 (with E. Samuel-Cahn).

28. An approach to inference following model selection with applications to transformation-based and adaptive inference. JASA 82 (1987), 1123-1130 (with A. Cohen).

29. Unbiasedness of tests for homogeneity. Ann. Statist. 15 (1987), 805-816 (with A. Cohen).

30. Admissibility of goodness-of-fit tests for discrete exponential families. Statist. & Prob. Letters 5 (1987), 1-3 (with A.Cohen).

31. A decision theory formulation for population selection followed by estimating the mean of the selected population. Fourth Purdue Symposium on Statistical Decision Theory and Related Topics 2 (1988), 33-36 (with A. Cohen).

32. Exact tests that recover interblock information in BIBDs. JASA 84 (1989), 556-559 (with A. Cohen).

33. Two stage conditionally unbiased estimators of the selected

mean. Statistics & Probability Letters 8 (1989), 273-278 (with A. Cohen).

34. Evaluating pre-test predictors of success in linear regression models. Recent Developments in Statistical Data Analysis and Inference (1989), 369-380. Elsevier, Amsterdam (with A.Cohen).

35. Unbiasedness of tests of homogeneity when alternatives are ordered. Topics in Statistical Dependence (1990). IMS Lecture Notes Monograph Series, 135-146. (with A. Cohen and M. Perlman).

36. Admissibility of estimators of the probability of unobserved outcomes. Annals of Institute of Statistical Mathematics 42 (1990), 623-636. (with A. Cohen).

37. Unbiased tests for some one sided testing problems. Canadian J. Statist. 18 (1990), 337-346. (with A. Cohen).

38. Tests for independence in contingency tables with ordered categories. J. Mult. Anal. 36 (1991), 56-67. (with A. Cohen).

39. Constructing unbiased tests for homogeneity and goodness of fit. Statistics and Probability Letters 12 (1991), 351- 355. (with A. Cohen).

40. Improved tests for comparing treatments against a control and other one sided problems. JASA 87 (1992), 1137-1144. (with A. Cohen).

41. An evaluation of some tests of trend in contingency tables. JASA 87 (1992), 470-475. (with A. Cohen).

42. Inadmissibility of studentized tests for normal order restric- ted models. Ann. Statist. 12 (1993), 746-752. (with A. Cohen).

43. Unbiased tests for Normal order restricted hypotheses. J. Mult. Anal. 46 (1993), 139-153. (with A. Cohen and J. Kemperman).

44. Some remarks on a notion of positive dependence, association, and unbiased testing. Stochastic Inequalities, M. Shaked and Y. L. Tong (editors). IMS Lecture Notes-Monograph Series, Vol. 22 (1993), 33-37. (with A.Cohen).

45. On stochastic ordering of partial sums with application to reliability theory. Statistics and Probability, Wiley Eastern Ltd., New Delhi (1993), 165-170. (with A. Cohen).

46. Evaluating tests for increasing trend in the intensity of a Poisson process. Technometrics 35 (1993), 446-448. (with A. Cohen).

47. Association and unbiased tests in statistics. Chapter 9 in Stochastic Orders and Their Applications (1994), M. Shaked and G. Shanthikumar (editors). (with A. Cohen).

48. Double sample estimation when cost depends on the parameter. Statistical Decision Theory and Related Topics V, S. Gupta and J. Berger (editors), (1994), 253-266, Springer-Verlag, New York. (with A. Cohen).

49. Rationality and unbiasedness in hypothesis testing. JASA 89 (1994), 967-971. (with E. Samuel-Cahn).

50. Projected tests for order restricted alternatives. Ann. Statist. 22 (1994), 1539-1546. (with A. Cohen and J. Kemperman).

51. Unbiased testing in exponential family regression. Ann. Statist. 22 (1994), 1931-1946. (with A. Cohen and J. Kemperman).

52. Unbiased testing of treatments against a control. Scand. J. Statist. 22 (1995), 95-104. (with A. Cohen and M. Fygenson).

53. On stochastic ordering of random vectors. J. App. Prob. (1995), 960-965. (with A. Cohen).

54. Constructing tests for normal order restricted inference. Bernoulli 1 (4) (1995), 321-333. (with A. Cohen and E. Samuel-Cahn).

55. Inadmissibility of some tests for order-restricted alternatives. Statist. & Prob. Letters 24 (1995), 153-156. (with A. Cohen)

56. Cone order association. J. Mult. Anal. 55 (1995), 320-330. (with A. Cohen and E. Samuel-Cahn).

57. Lower confidence bounds using pilot samples with an application to auditing. JASA 91 (1996), 338-342. (with A. Cohen).

58. Time management in sport: Ball control and other myths. Chance 9 (1996), 41-49. (with D. Sackrowitz).

59. Lower confidence regions for restricted parameter spaces. Mathematical Models in Statistics 5 (1996), 113-123.(with A. Cohen).

60. Cone order association and stochastic cone ordering with applications to order restricted testing. Ann. Statist. 24 (1996), 2036-2048. (with A. Cohen).

61. Tests for the umbrella alternative under normality. Hogg Volume, Communications in Statistics 25 (November 1996), 2807-2818. (with A. Cohen)

62. Improving tests for superior treatment in contingency tables. JASA 92 (1997), 700-705. (with V. Berger)

63. Rationality Criterion. Encyclopedia of Statistical Sciences. John Wiley & Sons, Inc., New York.

64. Directional tests for one-sided alternatives in multivariate models. Ann. Statist. 26 (1998), 2321-2338. (with A. Cohen)

65. P-values as random variables; expected P-values. American Statistician 53 (1999), 326-331. (with E. Samuel-Cahn).

66. Properties of likelihood inference for order restricted models. Journal of Multivariate Analysis 72 (1999), 50-77. (with A. Cohen and J. Kemperman).

67. Directed likelihood ratio tests for ordered alternatives and inference results for the star-shaped restriction. J. Statist. Planning and Inference (2000). (with A. Cohen)

68. Testing whether treatment is "better" than control with ordered categorical data: Definitions and complete class theorems. Statistics and Decisions 68 (2000), 1-25. (with A. Cohen)

69. Properties of Bayes testing procedures in order restricted inference. Statistics and Probability Letters 49 (2000), 205-209. (with A. Cohen)

70. Testing whether treatment is "better" than control with ordered categorical data: An evaluation of new methodology. Statistics in Medicine 19 (2000), 2699-2712. (with A. Cohen and M. Sackrowitz)

71. Refining the point(s) after touchdown decision. Chance 13 (2000), 29-34.

72. When to go for two. American Football Coach 6 (March 2000), 46-50.

73. A new test for treatment vs. control in an ordered 2x3 contingency table. Probability and Statistical Models with Applications, Charalambides, Koutras, and Balakrishnan (Eds.), (2001), 549-564. (with A. Cohen)

74. Wherefore similar tests? Statistics and Probability Letters 54 (2001), 283-290. (with A. Cohen)

75. On the bias in estimating genetic length and other quantities in simplex constrained models. Annals of Statistics 30 (2002), 202-219. (with A. Cohen, J.H.B. Kemperman)

76. Directed likelihood ratio tests for order restricted alternatives and inference results for the star shaped restriction. JSPI 103 (1-2) (2002), 181-189. (with A. Cohen)

77. Inference for the model of several treatments and a control. JSPI 107 (2002), 89-101. (with A. Cohen)

78. Methods of reducing loss of efficiency due to discreteness of distributions. Stat. Math. in Med. Res. 12 (2003), 23-36. (with A. Cohen)

79. Effective directed tests for models with ordered categorical data. Australian & New Zealand Journal of Statistics 45 (2003), 285-300. (with A. Cohen and D. Madigan)

80. Monotonicity properties of multiple endpoint testing procedures. JSPI 125 (2004), 17-20. (with A. Cohen)

81. Dynamic programming and time related strategies in sports. Economics, Management, and Optimization in Sports. S. Butenko, J. Gil-Lafuente and P.M. Pardalos (Eds.), Springer-Verlag, New York, 2004, 31-42.

82. A discussion of some inference issues in order restricted models. The Canadian Journal of Statistics 32 (2004), 199-205. (with A. Cohen)

83. A four action problem with ordered categorical data: Are two distributions the same, ordered, or otherwise? Statistics and Probability Letters 70 (2004), 223-234. (with A. Cohen, J. Kolassa)

84. A test for homogeneity of odds ratios in ordered 2 x 2 tables. Biometrical Journal 46 (2004), 633-641. (with A. Cohen, J. Kolassa)

85. Decision theory results for multiple endpoint procedures. Annals of Statistics 33 (2005), 126-144. (with A. Cohen)

86. Characterization of Bayes procedures for multiple endpoint problems and inadmissibility of the step-up procedure. Annals of Statistics 33 (2005), 145-158. (with A. Cohen)

87. A new test for stochastic order of k greater-equal 3 ordered multinomial populations. (with A. Cohen, J. Kolassa)

88. A test for the equality of multinomial distributions vs increasing convex order. Michael Woodroofe Volume. IMS-LNMS LB>50 (2006), 156-163. (with A. Cohen, J. Kolassa)

89. More on the inadmissibility of step-up. Journal of Mutlivariate Analysis 98 (2007), 481-492. (with A. Cohen)

90. A note on the U, V method of estimation. Complex Datasets and Inverse Problems. IMS-LNMS 54 (2007), 172-176. (with A. Cohen)

91. A smooth version of the step-up procedure for multiple tests of hypotheses. Statistics and Probability Letters. S. N. Roy Centennial Volume 137 (2007), 3352-3360. (with A. Cohen, J. Kolassa)

92. Multiple testing of two-sided alternatives with dependent data. Statistica Sinica (2007). To appear. (with A. Cohen)

93. A family of Bayes multiple testing procedures. Biometrika (2008). To appear. (with A. Cohen, M. Xu, S. Buyske)

94. A new multiple testing method in the dependent case. Submitted. (with A. Cohen, M. Xu)