Professor Frank Windmeijer

Professor Frank Windmeijer

Professor Frank Windmeijer
Professor of Econometrics

The Priory Road Complex, Priory Road, Clifton
(See a map)

Telephone Number (0117) 928 8423

Department of Economics


Microeconometrics, Panel Data Econometrics, Economics of Health Care. Current research projects include the use of genetic markers as instrumental variables, identification of causal effects on binary outcomes, and weak instruments in crosssection and panel data models.


  • Research Fellow, Centre for Microdata Methods and Practice, Institute for Fiscal Studies
  • Associate Editor, Journal of Applied Econometrics


Applied Econometrics

MRES Econometrics 1


Fields of interest

Microeconometrics, Causal Inference, Panel Data Econometrics, Economics of Health Care.

Key publications

  1. Davies, N, Dickson, MR, Smith, GD, van den Berg, GJ & Windmeijer, F, 2018, ‘The causal effects of education on health outcomes in the UK Biobank’. Nature Human Behaviour, vol 2., pp. 117-125
  2. Pacini, D & Windmeijer, F, 2016, ‘Robust Inference for the Two-Sample 2SLS Estimator’. Economics Letters, vol 146., pp. 50-54
  3. Sanderson, E & Windmeijer, F, 2016, ‘A Weak Instrument F-Test in Linear IV Models with Multiple Endogenous Variables’. Journal of Econometrics, vol 190., pp. 212-221
  4. Allen, R, Burgess, SM, Davidson, R & Windmeijer, F, 2015, ‘More reliable inference for the dissimilarity index of segregation’. The Econometrics Journal, vol 18., pp. 40-66
  5. Smith, SL, Windmeijer, F & Wright, EW, 2015, ‘Peer effects in charitable giving: Evidence from the (running) field’. Economic Journal, vol 125., pp. 1053-1071
  6. Scholder, SVHK, Smith, GD, Lawlor, DA, Propper, C & Windmeijer, F, 2016, ‘Genetic markers as instrumental variables’. Journal of Health Economics, vol 45., pp. 131-148
  7. Clarke, PS & Windmeijer, F, 2012, ‘Instrumental variable estimators for binary outcomes’. Journal of the American Statistical Association, vol 107., pp. 1638-1652
  8. Gregg, P, Grout, P, Ratcliffe, A, Smith, S & Windmeijer, F, 2011, ‘How important is pro-social behaviour in the delivery of public services?’. Journal of Public Economics, vol 95., pp. 758 - 766
  9. Newey, W & Windmeijer, F, 2009, ‘Generalized Method of Moments With Many Weak Moment Conditions’. Econometrica, vol 77., pp. 687 - 719
  10. Windmeijer, F, 2005, ‘A finite sample correction for the variance of linear efficient two-step GMM estimators’. Journal of Econometrics, vol 126 (1)., pp. 25 - 51

Latest publications

  1. Davies, N, Thomas, K, Taylor, A, Taylor, G, Martin, R, Munafo, M & Windmeijer, F, 2017, ‘How to compare instrumental variable and conventional regression analyses using negative controls and bias plots’. International Journal of Epidemiology, vol 46., pp. 2067-2077
  2. Davies, N, Taylor, G, Taylor, A, Jones, T, Martin, R, Munafo, M, Windmeijer, F & Thomas, K, 2017, ‘The Effects of Prescribing Varenicline on Two-year Health Outcomes: an Observational Cohort Study Using Electronic Medical Records’. Addiction.
  3. Taylor, G, Taylor, A, Thomas, K, Jones, T, Martin, R, Munafo, M, Windmeijer, F & Davies, N, 2017, ‘The effectiveness of varenicline versus nicotine replacement therapy on long-term smoking cessation in primary care: a prospective cohort study of electronic medical records’. International Journal of Epidemiology.
  4. Walker, V, Davies, N, Windmeijer, F, Burgess, S & Martin, R, 2017, ‘Power calculator for instrumental variable analysis in pharmacoepidemiology’. International Journal of Epidemiology, vol 46., pp. 1627-1632
  5. Terris-Prestholt, F & Windmeijer, F, 2016, ‘How to sell a condom? The impact of demand creation tools on male and female condom sales in resource limited settings’. Journal of Health Economics, vol 48., pp. 107-120
  6. Davies, NM, Scholder, SVHK, Farbmacher, H, Burgess, S, Windmeijer, F & Smith, GD, 2015, ‘The many weak instruments problem and Mendelian randomization’. Statistics in Medicine, vol 34., pp. 454-468
  7. Davies, NM, Hemani, G, Timpson, NJ, Windmeijer, F & Smith, GD, 2015, ‘The role of common genetic variation in educational attainment and income: evidence from the National Child Development Study’. Scientific Reports, vol 5.
  8. Clarke, PS, Palmer, TM & Windmeijer, F, 2015, ‘Estimating Structural Mean Models with Multiple Instrumental Variables using the Generalised Method of Moments’. Statistical Science, vol 30., pp. 96-117
  9. Davies, NM, Taylor, GMJ, Taylor, AE, Thomas, KH, Windmeijer, F, Martin, RM & Munafo, MR, 2015, ‘What are the effects of varenicline compared with nicotine replacement therapy on long-term smoking cessation and clinically important outcomes?: Protocol for a prospective cohort study’. BMJ Open, vol 5.
  10. Silva, JS, Tenreyro, S & Windmeijer, F, 2015, ‘Testing Competing Models for Non-Negative Data with Many Zeros’. Journal of Econometric Methods, vol 4., pp. 29-46
  11. Brilleman, S, Gravelle, H, Hollinghurst, S, Purdy, S, Salisbury, C & Windmeijer, F, 2014, ‘Keep it simple? Predicting primary health care costs with clinical morbidity measures’. Journal of Health Economics, vol 35., pp. 109-122
  12. Thomas, KH, Martin, RM, Davies, NM, Metcalfe, C, Windmeijer, F & Gunnell, D, 2013, ‘Smoking cessation treatment and risk of depression, suicide, and self harm in the Clinical Practice Research Datalink: prospective cohort study’. BMJ, vol 347., pp. f5704
  13. Davies, NM, Smith, GD, Windmeijer, F & Martin, RM, 2013, ‘COX-2 Selective Nonsteroidal Anti-inflammatory Drugs and Risk of Gastrointestinal Tract Complications and Myocardial Infarction An Instrumental Variable Analysis’. Epidemiology, vol 24., pp. 352-362
  14. Davies, NM, Smith, GD, Windmeijer, F & Martin, RM, 2013, ‘Issues in the Reporting and Conduct of Instrumental Variable Studies A Systematic Review’. Epidemiology, vol 24., pp. 363-369
  15. Brilleman, SL, Purdy, S, Salisbury, C, Windmeijer, F, Gravelle, H & Hollinghurst, S, 2013, ‘Implications of comorbidity for primary care costs in the UK: a retrospective observational study’. British Journal of General Practice, vol 63., pp. 274-82
  16. Davies, NM, Gunnell, D, Thomas, KH, Metcalfe, C, Windmeijer, F & Martin, RM, 2013, ‘Physicians' prescribing preferences were a potential instrument for patients' actual prescriptions of antidepressants’. Journal of Clinical Epidemiology, vol 66., pp. 1386-1396
  17. Thomas, KH, Davies, N, Metcalfe, C, Windmeijer, F, Martin, RM & Gunnell, D, 2013, ‘Validation of suicide and self-harm records in the Clinical Practice Research Datalink’. British Journal of Clinical Pharmacology, vol 76., pp. 145-157
  18. Thomas, KH, Martin, RM, Davies, NM, Metcalfe, C, Windmeijer, F & Gunnell, D, 2013, ‘Still not clear that smoking cessation drugs do not cause psychiatric symptoms Reply’. BMJ, vol 347.
  19. Scholder, SMLvHK, Smith, GD, Lawlor, DA, Propper, C & Windmeijer, F, 2013, ‘Child height, health and human capital: Evidence using genetic markers’. European Economic Review, vol 57., pp. 1-22
  20. Thomas, KH, Martin, RM, Davies, NM, Metcalfe, C, Windmeijer, F & Gunnell, D, 2013, ‘Authors' reply to Davies’. BMJ, vol 347., pp. f7068
  21. Scholder, SvHK, Smith, GD, Lawlor, DA, Propper, C & Windmeijer, F, 2012, ‘The effect of fat mass on educational attainment: Examining the sensitivity to different identification strategies’. Economics and Human Biology.
  22. Tilling, K, Davies, N, Windmeijer, F, Kramer, M, Bogdanovich, N, Matush, L, Patel, R, Smith, GD, Ben-Shlomo, Y, Martin, R & study, gftPoBIT(, 2011, ‘Is infant weight associated with childhood blood pressure? Analysis of the Promotion of Breastfeeding Intervention Trial (PROBIT) cohort’. International Journal of Epidemiology, vol 40(5)., pp. 1227 - 1237
  23. Faulkner, GEJ, Grootendorst, P, Nguyen, [VVH, Andreyeva, T, Arbour-Nicitopoulos, K, Auld, MC, Cash, SB, Cawley, J, Donnelly, P, Drewnowski, A, Dube, L, Ferrence, R, Janssen, I, LaFrance, J, Lakdawalla, D, Mendelsen, R, Powell, LM, Traill, WB & Windmeijer, F, 2011, ‘Economic instruments for obesity prevention: results of a scoping review and modified delphi survey’. International Journal of Behavioral Nutrition and Physical Activity, vol 8., pp. -
  24. Bun, M & Windmeijer, F, 2011, ‘A Comparison of Bias Approximations for the Two-Stage Least Squares (2SLS) Estimator’. Economics Letters, vol 113(1)., pp. 76 - 79
  25. Scholder, S, Smith, GD, Lawlor, DA, Propper, C & Windmeijer, F, 2011, ‘Mendelian randomization: the use of genes in instrumental variable analyses’. Health Economics, vol 20., pp. 893-896
  26. Davies, NM, Windmeijer, F, Martin, RM, Abdollahi, MR, Smith, GD, Lawlor, DA, Ebrahim, S & Day, INM, 2011, ‘Use of Genotype Frequencies in Medicated Groups to Investigate Prescribing Practice: APOE and Statins as a Proof of Principle’. Clinical Chemistry, vol 57., pp. 502-510
  27. Bun, M & Windmeijer, F, 2010, ‘The Weak Instrument Problem of the System GMM Estimator in Dynamic Panel Data Models’. The Econometrics Journal, vol 13., pp. 95 - 126
  28. Propper, C, Sutton, M, Whitnall, C & Windmeijer, F, 2010, ‘Incentives and Targets in Hospital Care: Evidence from a Natural Experiment’. Journal of Public Economics, vol 94., pp. 318 - 335
  29. Clarke, P & Windmeijer, F, 2010, ‘Identification of causal effects on binary outcomes using structural mean models’. Biostatistics, vol 11 (4)., pp. 756 - 770
  30. Hong, J, Reed, C, Novick, D, Haro, J, Windmeijer, F & Knapp, M, 2010, ‘The Cost of Relapse for Patients with a Manic/Mixed episode of Bipolar Disorder in the EMBLEM Study’. PharmacoEconomics, vol 28(7)., pp. 555 - 566
  31. Hong, J, Windmeijer, F, Novick, D, Haro, J & Brown, J, 2009, ‘The cost of relapse in patients with schizophrenia in the European SOHO (Schizophrenia Outpatient Health Outcomes) study’. Progress in Neuro-Psychopharmacology and Biological Psychiatry, vol 33(5)., pp. 835 - 841
  32. Knapp, M, Windmeijer, F, Brown, J, Kontodimas, S, Tzivelekis, S, Haro, JM, Ratcliffe, M, Hong, J, Novick, D & , 2008, ‘Cost-utility analysis of treatment with olanzapine compared with other antipsychotic treatments in patients with schizophrenia in the pan-European SOHO study’. Pharmacoeconomics, vol 26., pp. 341-358
  33. Lawlor, D, Windmeijer, F & Smith, GD, 2008, ‘Is Mendelian randomization ‘lost in translation?’: Comments on ‘Mendelian randomization equals instrumental variable analysis with genetic instruments’ by Wehby et al’. Statistics in Medicine, vol 27(15)., pp. 2750 - 2755
  34. Propper, C, Windmeijer, F, Whitnall, C & Sutton, M, 2008, ‘Did targets and terror reduce waiting times for hospital care in England’. BE Journal of Economic Analysis and Policy.
  35. Windmeijer, F, 2008, ‘GMM for Panel Count Data Models’. in: M Laszlo, P Sevestre (eds) The Econometrics of Panel Data: Fundamentals and Recent Developments in Theory and Practice. Springer, pp. 603 - 624
  36. Haro, JM, Kontodimas, S, Negrin, MA, Ratcliffe, M, Suarez, D & Windmeijer, F, 2006, ‘Methodological Aspects in the Assessment of Treatment Effects in Observational Health Outcomes Studies’. Applied Health Economics and Health Policy, vol 5(1)., pp. 11 - 25
  37. Windmeijer, F, Kontodimas, S, Knapp, M, Brown, J & Haro, JM, 2006, ‘Methodological approach for assessing the cost-effectiveness of treatments using longitudinal observational data: The SOHO study’. International Journal of Technology Assessment in Health Care, vol 22(4)., pp. 460 - 468
  38. Windmeijer, F, Laat, Ed, Douven, R & Mot, E, 2006, ‘Pharmaceutical promotion and GP prescription behaviour’. Health Economics, vol 15 (1)., pp. 5 - 18
  39. Laporte, A & Windmeijer, F, 2005, ‘Estimation of Panel Data Models with Binary Indicators when Treatment Effects are not Constant over Time’. Economics Letters, vol 88(3)., pp. 389 - 396
  40. Gravelle, H, Hoonhout, P & Windmeijer, F, 2005, ‘Waiting Lists, Waiting Times and Admissions: an Empirical Analysis at Hospital and General Practice Level’. Health Economics, vol 14(9)., pp. 971 - 985
  41. Bond, S & Windmeijer, F, 2005, ‘Reliable inference for GMM estimators? Finite sample properties of alternative test procedures in linear panel data models’. Econometric Reviews, vol 24 (1)., pp. 1 - 37
  42. Gravelle, H, Sutton, M, Morris, S, Windmeijer, F, Leyland, A, Dibben, C & Muirhead, M, 2003, ‘Modelling supply and demand influences on the use of health care: implications for deriving a needs-based capitation formula’. Health Economics, vol 12., pp. 985-1004
  43. Blundell, R, Griffith, R & Windmeijer, F, 2002, ‘Individual effects and dynamics in count data models’. Journal of Econometrics, vol 108 (1)., pp. 113 - 131
  44. Bond, S & Windmeijer, F, 2002, ‘Projection Estimators for Autoregressive Panel Data Models’. Econometrics Journal, vol 5(2)., pp. 457 - 479
  45. Silva, JS & Windmeijer, F, 2001, ‘Two-part multiple spell models for health care demand’. Journal of Econometrics, vol 104 (1)., pp. 67 - 89
  46. Bond, S, Bowsher, C & Windmeijer, F, 2001, ‘Criterion-based inference for GMM in autoregressive panel data models’. Economics Letters, vol 73(3)., pp. 379 - 388
  47. Blundell, R, Bond, S & Windmeijer, F, 2000, ‘Estimation in dynamic panel data models: Improving on the performance of the standard GMM estimator’. in: ADVANCES ECOOMETRICS, VOL 15, 2000. JAI-ELSEVIER SCIENCE INC, NEW YORK, pp. 53-91
  48. Blundell, R & Windmeijer, F, 2000, ‘Identifying demand for health resources using waiting times information’. Health Economics, vol 9., pp. 465-74
  49. Windmeijer, F, 2000, ‘Moment conditions for fixed effects count data models with endogenous regressors’. Economics Letters, vol 68., pp. 21-24
  50. Blundell, R & Windmeijer, F, 1997, ‘Cluster effects and simultaneity in multilevel models’. Health Economics, vol 6., pp. 439-443
  51. Windmeijer, F & Silva, J, 1997, ‘Endogeneity in count data models: An application to demand for health care’. Journal of Applied Econometrics, vol 12., pp. 281-294
  52. Cameron, A & Windmeijer, F, 1997, ‘An R-squared measure of goodness of fit for some common nonlinear regression models’. Journal of econometrics, vol 77., pp. 329-342
  53. Cameron, A & Windmeijer, F, 1996, ‘R-Squared measures for count data regression models with applications to health-care utilization’. Journal of business & economic statistics, vol 14., pp. 209-220
  54. Windmeijer, F, 1994, ‘THE MAXIMUM RANK CORRELATION ESTIMATOR AND THE RANK ESTIMATOR IN BINARY CHOICE MODELS’. Econometric Theory, vol 10., pp. 442-443

Full publications list in the University of Bristol publications system

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