Pramod K. Pathak, Ph.D.
Professor of Statistics and Epidemiology

B.Sc., 1957, Lucknow University
M.Sc., 1959, Lucknow University
Ph.D., 1963, Indian Statistical Institute

Michigan State University
Department of Statistics and Probability
A502 Wells Hall
East Lansing, Michigan 48824
Telephone: 517.353.8900

  Community of Science Expertise Profile

Current Research Interests

Statistical methods and their applications to biomedical research; sampling and resampling methods; computational statistics;
  reliability; image processing; optimization problems in statistics.

Selected Publications

Pathak PK.  Use of Ďorder-statisticí in sampling without replacement.  Sankhya, 1961, 23:409-414.

Pathak PK. On simple random sampling with replacement.   Sankhya A 1962;24:283-302

Pathak PK. On sampling with unequal probabilities. Sankhya A 1962; 24, 315-326.

Pathak PK. Seat design and the estimation problem. J. of Social Research. 1963;6:83-98.

Pathak PK. On sampling schemes providing unbiased ratio estimators. Ann. Math. Statist. 1964;35:222-231

Pathak PK and Sethuraman J. On the asymptotic distribution of the mean of distinct units in sampling from a finite population. Pub. Hung. Acad. Sci. 1964, 9:113-116.

Pathak PK.  Sufficiency in sampling theory.  Ann. Math. Statist. 1964, 35:793-808

Pathak PK. On estimating the size of a population and its inverse by the capture-mark method. Sankhya. 1964;26:75-80.

Pathak PK. On inverse sampling with unequal probabilities. Biometrika. 1964;51:185-193.

Pathak PK. Recent Advances in Sampling Theory. Indian Statistical Institute, Calcutta. 1965.

Pathak PK. An estimator in pps-sampling for multiple characteristics, Sankhya A 1966; 28: 35-40

Pathak PK. Non-negativity of a variance estimator. Sankhya A 1966; 28: 41-46.

Pathak PK. Alternative proofs of some theorems on characteristic functions. Sankhya A 1966; 28:309-314.

Pathak PK and Rao TJ. Inadmissibility of customary estimators in sampling over two occasions. Sankhya A 1967; 29:49-54.

Pathak PK.  Efficiency of Des Rajís strategy-I.  Sankhya, 1967(b), 29:283-298.

Pathak PK.  Efficiency of the symmetrized Des Rajís strategy-II.  Sankhya, 1967(b), 29:299-304.

Krishnaiah PR and Pathak PK. Simultaneous test procedures under certain intra-class correlation models. Ann. Math. Statist. 1967;38:1286-1288.

Pathak PK and Pillai RN. On a characterization of the normal law. Sankhya A 1968; 30: 141-144.

Krishnaiah PR and Pathak PK. A note on confidence bounds for certain ratios of characteristic roots of covariance matrices. Aust. J. Statist. 1968;10: 116-119.

Eaton ML and Pathak PK. A characterization of the normal law on Hilbert space. Sankhya A 1969; 31: 259-268.

Pathak PK. A note on a characterization of the normal law on Hilbert space. Sankhya A 1970; 32: 31-36.

Pathak PK and Rickert NW.  Some results on invariant sets for a translation parameter family of probability measures.  Ann. Math. Statist., 1972, 42:1562-1568.

Blum JR and Pathak PK. A note on the zero-one law. Ann. Math. Statist. 1972; 43:1008-1009.

Pathak PK and Qualls C.  A law of iterated logarithms for stationary Gaussian processes.  Trans. Amer. Math. Soc., 1973, 181:185-193.

Blum JR and Pathak PK. Measure-invariant sets. Ann. Prob. 1973; 1: 590-602.

Goodman V and Pathak PK. A dimension-free approach to certain characterizations of the normal law. Sankhya A 1973; 35: 479-488.

Koopmans LH, Martin N, Pathak PK and Qualls C. On the divergence of a certain series. Ann. Prob. 1974; 2: 546-550.

Kumar A and Pathak PK. Some recent advances on dimension-free characterizations of the normal law. Mathematicum Colloquium 1975; 35:119-140.

Pathak PK. An extension of a theorem of Hoeffding. Studia Sci. Math. Hung. 1975; 10:73-74.

Pathak PK. A new proof of a theorem of Polya. Studia Sci. Math. Hung.; 1975; 10:317-322.

Goodman V and Pathak PK. An extension of a theorem of C.R. Rao. Sankhya A 1975; 37:303-305.

Pathak PK. Unbiased estimation in a fixed cost sequential sampling scheme. Ann. Statistic. 1976; 4: 1012-1017.

Pathak PK. A note on Basu's lemma. Studia Sci. Math. Hung. 1976; 11: 297-299.

Pathak PK and Shapiro HS. A characterization of certain weak*-closed subalgebras of L. J. Math. Anal. and Appl. 1977; 58: 37-38.

Kumar A and Pathak PK. Two applications of Basu's lemma. Scan. J. Statist. 1977; 4: 37-38.

Kumar A and Pathak PK. Sufficiency and tests of goodness of fit. Scan. J. Statist. 1977; 4: 39-43.

M ączyński and Pathak PK. The zero-one law for Boolean algebras. Bull. Pol. Acad. Sci., Math. and Phys. 1978; 26:175-179.

Pathak PK, Zimmer WJ and Williams RE. Non-parametric estimation of an acceleration parameter. Comm. Statist. Theor. Meth. A 8, 1979:367-383.

M ączyński and Pathak PK. Integration of surveys. Scan. J. Statist. 1980; 7: 130-138.

Pathak PK and Zimmer WJ.  A Bayesian approach to accelerated life testing.  Proc. Ann. Reliability and Maintainability Symp., IEEE, Cat. No. 81, Ch. 1618-8, 1981, 371-374.

Pathak PK. Asymptotic normality of the average of distinct units in simple random sampling with replacement. Statistics and Probability,
  Essays in Honor of C.R. Rao, (G. Kallianpur et al. eds.), North Holland, Amsterdam, 1982; 567-573.

Pathak PK and Sathe Y. A new variance formula for unbiased estimation in inverse sampling. Sankhya B 1984; 46: 301-305.

Mitra SK and Pathak PK. The nature of simple random sampling. Ann. Statist. 1984;12: 1536-1542.

Mitra SK and Pathak PK. Algorithms for optimal integration of two or three surveys. Scan. J. Statist. 1984; 11: 257-263.

Blyth CR and Pathak PK. Does an estimator's distribution suffice? Proc. Neyman-Kiefer Symp. (L.M. Le Cam and R.A. Olshen eds.) Wadsworth, Montrey, 1985; 45-52.

Blyth CR and Pathak PK. An easy proof of Stirling's theorem. Amer. Math. Monthly; 1986; 93: 376-379.

Pathak PK, Singh A, Singh AK and Zimmer WJ, Empirical Bayesian estimation of mean life from an accelerated life test. J. Statist. Planning and Inference; 1987;16: 353-363.

Pathak PK. Simple random sampling, Handbook of Sampling: Sampling, Vol. 6 (P.R. Krishnaiah and C.R. Rao eds.), North Holland, Amsterdam, (1988); 97-109.

Fountain RL and Pathak PK. Systematic and non-random sampling in the presence of a linear trend. Commun. Statist.-Theory Meth. 1989; 21: 8511-2526.

Fountain RL and Pathak PK. Systematic sampling in the presence of polynomial trends. Commun. Statist.-Theory Meth. 1990; 22: 1061-1071.

Pathak PK and Nieniewski MJ. Change detection in image sequences using Walsh functions and the likelihood test method.
  Proc. International Conference on Signal Processing, Beijing. 1990;995-998.

Pathak PK and Tsiatis AA.  Quasi-likelihood models in sampling.  Proc. R. C. Bose Symposium on Probability, Statistics and Design of Experiements. 
  R. R. Bahadur et al. editors, 1990, 571-579.

Aragon J and Pathak PK. An algorithm for optimal integration of two surveys. Sankhya B. 1990; 52: 198--203.

Nieniewski MJ and Pathak PK.  Change detection in images using Walsh functions.  Engineering Transactions of the Polish Academy of Sciences, 1991, 39:139-161.

Pathak PK, Singh AK and Zimmer WJ. Bayes estimation of hazard and acceleration in accelerated testing. IEEE Trans. on Reliability; 1991; 40: 615--621.

Pathak PK. Introduction to: Rao, C.R. (1945), ``Information and accuracy attainable in the estimation of statistical parameters,'' Bull. Calcutta Math. Soc. 37: 87-91
  Breakthroughs in Statistics: 1890--1989, Vol. I; 1991: 227--247. N.L. Johnson and S. Kotz eds., Springer--Verlag.

Ghosh M and Pathak PK. Current Issues in Statistical Inference: Essays in Honor of D. Basu.
  IMS Lecture Notes Monograph Series 17. Institute of Mathematical Statistics, Hayward, CA 1992.

Pathak PK and Fahimi M. Optimal integration of Surveys. Current Issues in Statistical Inference, Essays in honor of D. Basu; 1992: 208--224
  IMS Lecture Notes -- Monograph Series, M. Ghosh and P.K. Pathak eds.

Fahimi M and Pathak PK. Applications of a size reduction technique for transportation problems in sampling.
  Proceedings of the First International Conference on Optimization and Statistics; Dec. 18--21,1989, AMU, Aligarh, 1993: 196--211.

Bein WW, Brucker P, Park JK and Pathak PK.  A Monge property for the d-dimensional transportation problem.
  Journal of Discrete Applied Mathematics, 1995, 58:97-109.

Bein WW Pathak PK.  A characterization of the Monge property and its connection to statistics. Demonstratio Mathematica, 1996, 2:451-457.

Rao CR, Pathak PK and Koltchinskii VI.  Bootstrap by sequential resampling.  Journal Statistical Planning and Inference. 1997, 64:257-281.

Zimmer WJ, Wang Y and Pathak PK. Log-odds rates and monotone log-odds rate distributions. J Quality Technology. 1998;30:375-384.

Pathak PK, Babu GJ and Rao CR. Second-order correctness of the Poisson bootstrap. Ann. Statist. 1999;27:1666-1683.

Gardiner JC, Holmes-Rovner M, Pathak PK, Goddeeris J, Rovner D and Kupersmith J. Covariate-adjusted cost-effectiveness ratios.
  J. Statistical Planning and Inference, 1999;75:291-304.

Babu GJ Pathak PK and Rao CR. Consistency and accuracy of the sequential bootstrap.
  In Statistics for the 21st Century: Methodologies for application of the Future, 2000;
  CR Rao and G Szekely eds., Marcel Dekker Inc., New York 21-31.

Shoemaker OJ and Pathak PK. The sequential bootstrap: A comparison with regular bootstrap. Comm. Statist. 2001; 30: 1661-1674.

Pathak PK and Hickner J. Sampling issues in practice-based research networks. Proc. of the Annual Primary Care
  Research Methods Conference, 2001- 2002, 216--242, American Academy of Family Physicians.

Hathway J, Pathak PK and Maney R. Is liquid-based pap testing affected by water-based lubricant, Obstet Gynecol, 2006; 107 (1): 66--70

Wadland WC, Holtrop JS, Weismantel D, Pathak PK, Fadel H andJ Powell J. Practice-based referrals to a tobacco quitline:
  Assessing the impact of comparative feedback versus general reminders. Annals of Family Medicine; 2007 5/2: 135 - 142.

Pathak PK, Weismantel D, Wadland WC et al. An intraclass correlation model for a physician-based sampling scheme.
  Annals of Family Medicine; 2007 5/2; Online Supplemental Appendix:
  Online Appendix

Galliher JM, Pathak PK et al. Data collection outcomes comparing paper forms with PDA forms in an office-based patient survey.
  Annals of Family Medicine; 2008 6; 154-160

Holtrop JS, Dosh S, Torres T, Arnold A, White L, Baumann J, Pathak PK. Nurse consultation support to primary care practices to increase delivery of health behavior services.
  Applied Nursing Research, 2009;22(4):243-9.

Stein PD, Janjua M, Matta F, Pathak PK et al. Prognosis Based on Creatine Isoenzyme MB, Cardiac Tropnin I, and Right Vetricular Size in Stable Patients With Acute Pulmonary Embolism.
  American J. Cardiology, 2011;107(5):774-777.

Research Support

Cholewicki, J (PI), NIH (CAM), 2010 - 2014.
Systems Science Center for Osteopathic Manipulative Therapy
The focus of this ongoing study is to develop objective instruments and their applications for osteopathic manipulative manual therapy.
Role: Biostatistician/Epidemiologist

Cholewicki, J (PI), 2009 - 2011.
A Link Between Parity, Trunk Muscle Function, and Degenerative Spondylolisthesis.
The focus of this ongoing study is to discover primary factors of degenerative spondylolisthesis in parous women.
Role: Biostatistician/Epidemiologist

Cholewicki J (PI), 2009 - 2011.
Effect of Osteopathic Manual Therapy on Postural Control in Patients with Low Back Pain.
The focus of this ongoing study is to discover the efficacy of manual therapy in alleviating low back pain.
Role: Biostatistician/Epidemiologist

Pathak PK (PI), 2006 - 2010.
Problems and Solutions Related to Parental Permission and Research Involving Minors.
The focus of this intra-mural research study is to develop the necessary infra-structure for a network of IRBs to monitor issues of consent and protection of human subjects in research involving human subjects.
Role: Biostatistician/Epidemiologist

Nigg J (PI), NIH, 2007-2011.
Heterogeneity of Mechanism and Pathway in Childhood ADHD
The primary focus of this study is to discover the major determinants of childhood ADHD.
Role: Biostatistician/Epidemiologist

Anthony J (PI), NIDA, 2001 - 2006.
NIDA Epidemiology Training Program: ICOHRTA
This T32 institutional research training program linked faculty and students of the Bloomberg School of Public Health with the Universidad Peruana Cayetano Heredia in Lima, Peru.
Role: Program Director

Aguwa N (PI), Health Resources and Services Administration (HRSA), 2004-2007
Academic Administrative Units in Primary Care-FM Peds
The overarching mission of this grant was to develop protocols for positive outcomes in primary care populations and train future physicians in evidence-based clinical research.
Role: Research Director / Advisor

Holtrop J (PI), Robert Wood Johnson Foundation, 2005-2007
CHERL Connecting Primary Care Patients With Community Resources to Encourage Healthy Lifestyles.
The focus of this study was to develop an effective model for better health care delivery.
Role: Biostatistician/Epidemiologist

Wadland WC (PI), Robert Wood Johnson Foundation, 2002-2005
The Smoking Cessation Study.
The primary goal of this study was to lower the prevalence of smoking in the State of Michigan.
Role: Biostatistician/Epidemiologist

Pathak PK and Scholnik A (PIs), Michigan Department of Community Health, 2003-2006
The Michigan basic cancer pathology lexicon project.
The focus of this study was to develop a unified electronic lexicon for reporting tumor pathologies in Michigan.
Role: Epidemiologist/Biostatistician

Pathak, D (PI), NIH 1997 - 2003
Breast Cancer in Women of Polish Ancestry.
The NCI-funded continuing international study sought to discover the major determinants of the 3-fold increase of breast cancer risk in Polish migrant women.
Role: Biostatistician

Pathak, D (PI), DOD 1999 - 2002
Improved Follow-up of Breast Abnormalities through Comprehensive Breast Care in Women 40-70 Years of Age
The main goal of this DOD-funded study was to better prepare practicing physicians in detection of breast abnormalities.
Role: Biostatistician