Michael Dollinger

Professor Emeritus of Mathematics

Michael Dollinger - Professor Emeritus


  • Professional
  • Biography


  • Ph.D., Mathematics, University of Illinois, 1968
  • M.S., Mathematics, University of Illinois, 1965
  • B.S., Mathematics, University of Rochester, 1963

Areas of Emphasis or Expertise

  • Mathematics
  • Statistics
  • See "Personal" tab for list of publications and other positions held


Current position

Pacific Lutheran University 1981 – 1998.

  • Emeritus Professor, Department of Mathematics, 1998 – present.
  • Chair, Department of Mathematics, 1992 – 1994.


  1. Commentary on ‘Misunderstandings about Q and ‘Cochran’s Q test’ in meta-analysis’, Statistics in Medicine, 2015, 35(4):501-502 · February 20, 2016, DOI: 10.1002/sim.6758 (with E. Kulinskaya).
  2. An improved test for homogeneity of odds ratios based on Cochran’s Q-statistic.   BMC Medical Research Methodology 2015, 15:49; DOI 10.1186/s12874-015-0034-x (with E. Kulinskaya).
  3. On the moments of Cochran’s Q statistic under the null hypothesis; with application to the meta-analysis of risk difference, Research Synthesis Methods, 2011, 2(4), 254-270, Article first published online: 4 MAR 2012 | DOI: 10.1002/jrsm.54 (with E. Kulinskaya and K. Bjørkestøl).
  4. Testing for Homogeneity in Meta-Analysis I. The One Parameter Case: Standardized Mean Difference, Biometrics, 67, 203–212, DOI: 1111/j.1541-0420.2010.01442 (with E. Kulinskaya and K. Bjørkestøl).
  5. Robust weighted one-way ANOVA: Improved approximation and efficiency, Journal of Statistical Planning and Inference, V. 137, p. 462-472, 2007 (with E. Kulinskaya).
  6. A Welch-type test for homogeneity of contrasts under heteroscedasticity with application to meta-analysis, Statistics in Medicine, V.23, p. 3655-3670, 2004 (with E. Kulinskaya, E. Knight, and H. Gao).
  7. On the moments of a Stahel-Donoho robust multivariate estimator, Journal of Statistical Computation and Simulation, V. 70(1), p. 89-106, 2001 (with K. Bjørkestøl).
  8. Asymptotics of guarded weights of evidence, Journal of Statistical Planning and Inference, V. 86(1), p. 11-29, 2000 (with E. Kulinskaya).
  9. Guarded weights of evidence and acceptability profiles based on signs: II. Asymptotic results, Australia & New Zealand J. Statistics, V. 41(4), p. 451-461, 1999 (with E. Kulinskaya and R.G. Staudte).
  10. Guarded weights of evidence and acceptability profiles based on signs: I. Permutation arguments, Australia & New Zealand J. Statistics, 41 (1), 1999, p. 901-921 (with E. Kulinskaya and R.G. Staudte).
  11. Fuzzy hypothesis tests and confidence intervals in Information, Statistics and Induction in Science (D.L. Dowe, K.B. Korb and J.J. Oliver, editors), p. 119-128, World Scientific, 1996 (with E. Kulinskaya and R.G. Staudte).
  12. When is a p-value a good measure of evidence? in Robust Statistics, Data Analysis, and Computer Intensive Methods (H. Rieder, editor) number 109 in Lecture Notes in Statistics, Springer-Verlag, 1996 (with E. Kulinskaya and R.G. Staudte).
  13. Influence functions of iteratively reweighted least squares estimators, Amer. Stat. Assoc. v.86 (1991) p. 709-716 (with R.G. Staudte).
  14. Efficiency of reweighted least squares iterates, in Directions in Robust Statistics and Diagnostics Part I (Stahel & Weisberg, eds.) Springer-Verlag, 1991 p. 61-66 (with R.G. Staudte).
  15. The construction of equileverage designs for multiple linear regression, J. Stat., v. 32, 1990) p. 99-118 (with R.G. Staudte).
  16. The effects of acentric colony location on the energetics of avian coloniality, Naturalist, v.124 (1984), p.189-204 (with J.F. Wittenberger).
  17. Maximal functional calculi, Revue Romaine Math. Pures et Appl., v.18 (1973) p.1051-1054 (with K.K. Oberai).
  18. On the spectrum of an operator, Glasgow Math J.13 (1972) p.98-101 (with K.K. Oberai).
  19. Variation of local spectra, Math. Analysis and Appl. v.39 (1972) p.324-337 (with K.K. Oberai).
  20. Nuclear topologies consistent with a duality, Amer. Math. Soc. v.23 (1969) p.565-568.
  21. A type of spectral decomposition for a class of operators, Math. and Mech. v.18 (1969) p.1059-1066.
  22. Some Aspects of Spectral Theory on Banach Spaces, Ph.D. dissertation, U. of Illinois, 1968.
  23. Predicting effectiveness of Bayesian classification systems, Psychometrika31 (1966) p.341-349 (with L.M. Herman).

Other Academic Experience

Previous positions

  • University of Washington 9/79 – 6/81
  • Louisiana State University 9/68 – 6/73

Visiting positions

  • University of Hertfordshire, UK 8/02 – 9-02
  • La Trobe University, Melbourne, Australia 10/95 – 12/97
  • University in Agder, Kristiansand, Norway 7/94 – 8/95
  • Victoria University of Wellington, N.Z. 1/88 – 6/88
  • La Trobe University, Melbourne, Australia 8/87 – 12/87
  • Zhongshan (Sun Yat-Sen) University, Guangzhou China 9/85 – 7/86
  • University of California, Berkeley 9/71 – 8/72
  • University of British Colombia, 5/70 – 8/70
  • Queens University, (Canada), 5/69 – 8/69