David J Bartholomew, FBA

Professor Emeritus of Statistics, London School of Economics and Political Science

By using a search engine such as Google many of my publications can be tracked down. What you find may depend on what version of my name you use (eg David Bartholomew, D J Bartholomew etc). There are also other David Bartholomews in the world who's interests and publications might be confused with my own. The purpose of this site is to provide a definitive  and classified list of my publications. It does not include book reviews or other ephemeral publications. Some more serious publications may have been inadertently omitted. Further information may be obtained by writing to me at djbartholomew@btinternet.com. Basic biographical information may be found in my Who's Who entry ( Last updated October 2013)

Books and papers are colour coded, by broad subject area as follows.

Brown   Mathematical and general statistics
Green    Social Statistics
Blue      Stochastic models, including manpower planning
Black     Latent variable models, including factor analysis and measurement
Red       Science and theology




1.      1961: &  S.E. Finer and H.B. Berrington Backbench Opinion in the House of Commons, 1955-1959. Oxford:  Pergamon Press.


2.           1967: Stochastic Models for Social Processes, New York and London: John Wiley and Sons. 

              (German translation 1970).


3.        1971:  &  E.E. Bassett, Let's Look at the Figures: the quantitative approach to human affairs), Harmondsworth  Middlesex: Penguin books   (Dutch translation, 1971).


4.           1971:  & B.R.Morris (eds.), Aspects of Manpower Planning, London|: English Universities Press.


5.           1971: & A.R.Smith (eds.) Manpower and Management Science,  London: English Universities Press.


6.           1972: & R.E. Barlow, H.D. Brunk and J.M. Bremner, Statistical Inference under Order Restrictions , Chichester:

              John Wiley and Sons.


7.         1973: Stochastic Models for Social Processes, (revised and enlarged) Chichester 2nd   edition: John Wiley and



8.          1976: (ed.) Manpower Planning, Harmondsworth, Middlesex: Penguin Books.

           1979: & A.F.Forbes, Statistical Techniques for Manpower Planning, Chichester: John Wiley and Sons.

  1981: Mathematical Methods in Social Science, Chichester: John Wiley and Sons.

1982: Stochastic Models for Social Processes, Chichester 3rd edition: John Wiley and Sons.

1985: Russian translation of Chapters 1-8 of Stochastic Models for Social Processes, 3rd edition, Moscow.

1984: God of Chance, London: SCM Press, Italian translation, 1987.(Free download from www.godofchance.com)

14.         1987: Latent Variable Models and Factor Analysis, London: Griffin.

1991: & A. F. Forbes and S.I. McClean, Statistical Techniques for Manpower Planning, Chichester 2nd edition: 

              John Wiley and Sons (Hebrew translation 2001, The Open University of Israel).

16 .        1993: & K.Haagen & M.Deistler (eds.), Statistical Modelling and Latent Variables,  Amsterdam: North-Holland.

1996:  Uncertain Belief, Oxford: The Clarendon Press.

 1996: The Statistical Approach to Social Measurement,       San Diego: Academic


19.        1999: & M. Knott, Latent Variable Models and Factor   Analysis, London Arnold, 2nd edition:

   2002: & F. Steele, I Moustaki & J. I. Galbraith, The Analysis and Interpretation of Multivariate Data for Social

            Scientists, Boca Raton, Florida: Chapman &  Hall/CRC.

21.        2004: Measuring Intelligence: Facts and Fallacies, Cambridge: Cambridge University Press.


22.        2006: (Ed) Measurement. Benchmarks in Social Research Methods, (4 Vols.) Thousand Oaks, Ca: Sage


2007:  God, Chance and Purpose: Can God have it both ways? Cambridge: -Cambridge University Press.


24.        2008: & F Steele, I Moustaki, J Galbraith, Analysis of Multivariate Social Science Data, (second edition)Boca Raton, Florida:Chapman & Hall/CRC


25.       2011: & M Knott, I Moustaki, Latent Variable Models and factor Analysis: A unified approach. Chichester:John Wiley and Sons Ltd

26.        2013: Unobserved Variables: Models and Misunderstandings. Heidelberg: Springer



Papers and Chapters in Books

1.         1954: Note on the use of Sherman's statistic as a test for randomness. Biometrika, 41, 556-558


2.         1956: A sequential test of randomness for events occurring in time or space. Biometrika, 43  64-78


3.         1956: A sequential test for randomness of intervals. Journal of the Royal Statistical Society, Series B. 18,  95-103

4.         1956: Tests for randomness in a series of events which the alternative is a trend. Journal of the Royal

           Statistical Society, Series B, 18, 234-239

5.         1957: Testing for departure from the exponential distribution.  Biometrika, 44,  253-257


6.         1957: A problem in life testing  Journal of the American Statistical Association, 52, 350-355


7.         1959: A test of homogeneity for ordered alternatives.  Biometrika, 46, 36-48


8.         1959: A test of homogeneity for ordered alternatives, II, Biometrika, 46, 328-335


9.         1959: Note on the measurement and prediction of labour turnover. Journal of the. Royal. Statististical.

           Society, Series A, 122, 232-239

10.       1961: A test of homogeneity for means under restricted alternatives.  Journal of the  Royal Statistical. Society,

            Series B, 23,  239-281.

11.       1961: A method of allowing for 'Not-at-Home' bias in sample surveys. Applied Statistics, 10,  52-59  (Italian

            translation 1967)

12.       1961: Ordered tests in the analysis of variance. Biometrika, 48, 325-332

13.       1962: & F.Bealey. The local elections in Newcastle-under-Lyme, May 1958, I.  British Journal of Sociology,

            13, 273-285

14.       1962: & F.Bealey. The local elections in Newcastle-under-Lyme, May 1958, II, British Journal of  Sociology,

            13,  350-368

15.       1963: Two-stage replacement strategies. Operational Research Quarterly. 14, 71-87

16.       1963: A multi-stage renewal process. Journal of the Royal Statistical Society. Series B. 25, 150-168


17.       1963: On Chassan's test for order. Biometrics, 19, No.1, 188-191


18.       1963: The sampling distribution of an estimate arising in life testing. Technometrics, 5, 361-374


19.       1963: An approximate solution of the integral equation of renewal theory,   Journal of  the Royal Statistical     

            Society. Series B, 25, 432-441


20.       1965: A comparison of some Bayesian and frequentist inferences", Biometrika, 52, 19-35

21.       1966: & E.E.Bassett.  A comparison of some Bayesian and frequentist inferences II, Biometrika, 53, 262-264


22.       1967: Hypothesis testing when the sample size is treated as a random variable (with discussion). Journal of the Royal Statististical Society. Series B, Vol. 29, 53-82

23.       1968: Decision making in manpower planning. Operational Research. Quarterly, Vol. 19 (special conference

            issue), 129-132

24.       1969: Renewal theory models for manpower systems. In Manpower Research ed. N.A.B. Wilson., 120-128,

            London, English Universities Press


25.       1970: Sufficient conditions for a mixture of exponentials to be a probability density function. Annals of Mathematical Statistics. 40,  2183-2188


26.       1970: The promotion problem. Mathematical Spectrum, Volume 2, 65-68

27.       1970: An introduction to concepts and terms (pp. 3-5), Markov chain models for manpower systems (pp.

            26-31), Renewal theory models (pp. 32-35). In Some Statistical Techniques for Manpower Planning, CAS

            Occasional Paper No. 15, H.M.S.O.

28.       1970: & A.D.Butler. The distribution of the number of leavers for an organization of fixed size. In Models of               Manpower Systems. ed. A.R. Smith, 417-428, London, English Universities Press


29.       1971: The statistical approach to manpower planning. The Statistician,  20, 3-26


30.       1971: A comparison of frequentist and Bayesian approaches to inference with prior  knowledge (with

            discussion). In Foundations of Statistical Inference ed.V P Godambe and  D A Sprott, , 417-434, New

            York, Holt, Rinehart and Winsten


31.       1971: Recent developments in the application of stochastic models to social  processes. Proceedings of the.

            38th Session of the International Statistical Institute. 44, Book 2, 85-89

32.       1972: La statistique appliquee a la prevision des besoins de personnel. Synopsis, Sept-Oct.,  63-79  (Also in



33.       1972: The effect of changes in quits and hires on the length-of-service composition of employed workers: A

            comment on Stoikov's paper. British Journal of Industrial Relations, 10,  130-133

34.       1973: Post-experience training for statisticians. Journal of the Royal Statistical Society, A, 136, 65-70


35.       1973: A model of completed length of service. Omega, 1, 235-240

36.       1973: Stochastic models for social processes: a bibliography. Sociological Review Monograph No. 19,



37.       1974: Stochastic models and their application: a review. In Manpower Planning Models  ed. D.J. Clough, C.G. Lewis and A.L. Oliver, 81-90, London, English Universities Press

38.       1974: Social Probability. Inaugural lecture, London, London School of Economics

39.       1975: Comments on Markov models in geography. The Statistician.   24,. 175-177

40.       1975: Probability and social science. International Social Science Journal, 27,  421-436 (also in French


41.       1975: Errors of prediction for Markov chain models. Journal of the Royal Statistical Society, B, Vol. 37,


42.       1975: A stochastic control problem in the social sciences. Bulletin of the International Statististical Institute.,

            46, 670-680

43.       1976: Renewal theory models in manpower planning. Symposium Proceedings Series No.8.  The Institute of

            Mathematics and Its Applications,  57-73

44.       1976:  & R.F.A.Hopes and A.R.Smith. Manpower planning in the face of uncertainty. Personnel Review,  5,


45.       1976: Continuous time diffusion models with random duration of interest. Journal of   Mathematical

           Sociology, 4,  187-199

46.       1976: The control of the grade structure in a university.  In Mathematical Modelling (ed. J.G. Andrews and

            R.R. McLone), 161-173. London: Butterworth

47.       1976: Statistical problems of prediction and control in manpower planning. Mathematical Scientist, 1,


48.       1977: The analysis of data arising from stochastic processes.  Chapter 5 in The Analysis of Survey Data, 2,

           Model Fitting,  ed. C. O'Muircheartaigh and C. Payne, 145-174, Chichester, John Wiley & Sons.


49.       1977: Maintaining a grade or age structure in a stochastic environment. Advances in Applied Probability, 9,  1-17


50.       1977: Applications of stochastic processes to social phenomena. In Problems of Formalization in the Social

            Sciences  177-202, ed. Nadbitki, Ossolineum

51.       1977: Manpower planning literature: statistical techniques of manpower analysis. Department of Employment Gazette,  1093-1096


 52.       1979: The control of a grade structure in a stochastic environment using promotion control. Advances in Applied

               Probability, 11,  603-615

 53.       1980: Factor analysis for categorical data (with discussion),  Journal of the Royal Statistical Society, B.42,


54.       1981: Posterior analysis of the factor model. British Journal of  Mathematical and  Statistical Psychology, 34,



55.       1983: Some recent developments in social statistics. International Statistical Review, 51, 1-9


 56.       1983: Latent variable models for ordered categorical data. Journal of Econometrics, 22, 229-243

57.          1983: The mixed exponential distribution. In Contributions to Statistics, Essays in Honour of Norman L. Johnson  ed. P.K
             . Sen,17-25 . Amsterdam, North-Holland


58.       1983: Isotonic inference. In Encyclopaedia of Statistical Sciences, Vol. 4, ed. N.L. Johnson and S. Kotz, 260-265.  Chichester, John Wiley and Sons


59.       1984: Recent developments in non-linear stochastic modelling of social processes. Canadian Journal of Statistics, 12, 39-52

60.       1984: Scaling binary data using a factor model. Journal of the Royal Statistical Society, 46,  120-123


61.       1984: The foundations of factor analysis. Biometrika, 71, 221-232


62.       1985: Interactive, threshold and non-linear models for social systems. Journal of Mathematical Sociology, 11,   43-45


63.       1985: Manpower Planning. In Encyclopedia of Statistical Sciences, Volume 5,  ed. N.L. Johnson and S. Kotz, 211-213, Chichester,. John Wiley and Sons


64.       1985: Foundations of factor analysis: Some practical implications. British Journal of Mathematical and Statistical Psychology, 38,  1-10


65.       1985: Reply to discussion on foundations of factor analysis. British Journal of Mathematical and Statistical Psychology, 38, 138-140

66.       1986: Social applications of semi-Markov processes. In Semi-Markov Processes and their Applications  ed. J.

            Janssen, 463-474, New York: Plenum Press

67.       1986: & R.P.McDonald. Foundations of factor analysis: a further comment. British Journal of Mathematical

            and Statistical Psychology, 39, 228-229

68.       1986: God or Chance?  Epworth Review, 15, 82-89


69.       1987: Factor analysis and social measurement", LSE Quarterly, 1,  395-411


 70.       1988: Probability, statistics and theology. Journal of the Royal Statistical Society., A, 151, 137-178

71.       1988: & A.R.Smith. Manpower planning in the United Kingdom: an historical review. Journal of  the Operational Research Society, 39, 235-248


72.       1988: Methodology of social statistics. In Encyclopaedia of Statistical Sciences, Vol. 8  ed. N.L. Johnson and S. Kotz, 545-548. Chichester, John Wiley & Sons

73.       1988:The sensitivity of latent trait analysis to choice of prior distribution. British Journal of Mathematical and

            Statistical Psychology, 41,  101-107

74.       1988: Latent variable models for categorical data and their relationship with correspondence analysis.  In

            Proceedings of the International Symposium on Advances in Multivariate Statistical Analysis ( ed. S.

            Dasgupta and J.K. Ghosh), 23-51. Calcutta:  Indian Statistical Institute

75.       1991: Latent Variable Methods.  Chapter 9 in New Developments in Statistics for Psychology and the Social

            Sciences, Vol. 2, ed. P. Lovie and A.D. Lovie, 199-213. London, Routledge


 76.       1991: Probability, Belief and Truth.  In Can Scientists Believe  ed. Sir Nevill Mott, 49-65. London, James and James


 77.       1991: & K.F.Scheussler. Reliability of attitude scores based on a latent trait model.  Sociological Methodology  (ed. P. Marsden), 97-123.  Oxford: Blackwell

78.       1991: Chance in God's World. In Fundamentalism and Tolerance (ed. A. Linzey and P. Wexler), 138-147.

            London: Bellew Publishing


 79.       1993: Statistics.  In The Blackwell Dictionary of Twentieth-Century Social Thought, (ed.  William Outhwaite & Tom  Bottomore),645-647. Oxford:Blackwell. Reprinted 2003 in The Blackwell Dictionary of Modern Social Thought (ed William Outhwaite), 664-665.


 80.       1993: The Statistical Approach to Social Measurement.  In  New Directions in Attitude Measurment (ed. Dagmar Krebs and Peter Schmidt), 241-254  Berlin: Walter de Gruyter

81.       1993: Chance, Life and Mind.  In Epworth Review,  Vol.20,  Number 3,.92-100


 82.       1993: & M.Knott. Scale Construction by Maximizing Reliability. In Statistical Modelling and Latent Variables  ed.D.J.BartholomewK.Haagen & M.Deistler, 17-26 , Amsterdam, North-Holland

83.       1993: & M.Knott. Constructing Measures with Maximum Reliability.  Psychometrika, 58, 331-338


 84.       1993: & E.L.Bassin and K.F.Schuessler. Properties of a Latent Trait Reliability Coefficient.  Sociological Methods Research, 22, 163-192


85.       1993: Estimating Relationships Between Latent Variables.     Sankhya, Series A,  55, 409-419


86.       1994: Bayes' Theorem in Latent Variable Modelling. In Aspects of Uncertainty ed. A.F.M.Smith and P.R.Freeman, 41-50. Chichester: John Wiley & Sons


87.       1995:  Choice or Chance?. In L.S.E. on Freedom  ed. Eileen Barker, 3-15, London,                 U.C.L.Press 

 88.       1995: Social Measurement:A Statistical Perspective. In Applied  Statistics - Recent Developments ed. J.Frohn,

            U.Gather,W.Stute and H.Thoni Vandenhoeck and Ruprecht, Gottingen, 6-19

89.       1995: What is statistics? Journal of the Royal Statistical Society, A, 158, 1-20

 90.       1995: Spearman and the Origin and Development of Factor  Analysis. British Journal of Mathematical Statistical Psychology. 48, 211-220

91.       1995: &  P G  Moore, T M F Smith and P Allin. The Measurement of Unemployment in the UK. Journal of the

           Royal Statistical Society A, 158, 363-417


92.              1996:Manpower Planning.  In Encyclopedia of Operations Research  and          Management Science  ed. S.I.Gass and C.M.Harris, 359-361. Boston: Kluwer


93.       1996: Mobility Measurement Re-visited. In James.S.Coleman  ed. J Clark, 161-173. London: Falmer Press

94.       1996: & L. de Menezes. New developments in latent structure analysis applied to social attitudes. Journal of

            the Royal Statistical Society  A,159, 213-224

95.       1996:  & L. de Menezes and P.Tzamourani. Latent trait and latent class models applied to survey data. In

            Applications of Latent Trait and Latent Class Models in the Social Sciences  ed. J. Rost and R Langeheine,

            219-232. Munster: Waxmann Verlag


96.       1996:  Comment on: Metaphor taken as math, indeterminacy in the factor model. Multivariate Behavioral Research  31, 551-554 


97.       1996: Response to Dr.Maraun's first reply to discussion of his paper.  Multivariate Behavioral Research, 31, 631-636


98.       1996: A statistical excursion into the arena of public policy. In Statistics, Science and Public Policy, ed A

             M Herzberg and L Krupka, Proceedings of a conference at  Hersmonceux Castle, Hailsham, Sussex,


99.       1997: Statistics and Politics. In Advances in the Theory and Practice of Statistics: A Volume in Honour of
              Samuel Kotz  ed.N.L.Johnson.and
N.J.Balakrishnan, 29-37. New York: Wiley

100.     1997: Latent-variable modeling. In  Encyclopedia of Statistical Science,Update Volume I , 354-360  

101.     1997:  Membership matters, (with discussion). Epworth Review Vol.24, 48-56


102.     1997: Fifty years of multivariate analysis. British Journal of Mathematical and Statistical Psychology 50, 205-214

 103.     1998: Scaling unobservable constructs in social science. Applied Statistics,  47, 1-13.

104.     1998:  The indeterminacy of factor models. In Econometrics in Theory and Practice  ed. R Galata and H Kuchenhoff, 59-64. HeidelbergPhysica-Verlag

105.     1999: The goodness of fit of latent trait models in attitude measurement. Sociological Methods and Research 

            47, 525-546

106.     2000:  God or Chance. In God for the 21st Century ed Russell Stannard, 147-149. Philadelphia: Templeton

            Foundation Press and London: SPCK


 107.     2000:  The Measurement of Standards. In Educational Standards  ed.Harvey Goldstein and Anthony Heath,121-138. Published for the British Academy by Oxford University Press

108.      2000: God and Risk.  In Risk Life is a Risky Business  ed. P.A.Beetham, the 13th Christ  and the Cosmos

              publication, 109-131. Published by the Christ and the Cosmos Initiative and Westminster College.

109.      2000: & D Hutchison, L Kendall, M Knott, J Galbraith and M Piccolo. Reliability of    assessment of

             reading ability in three countries. Quality and Quantity, 34, 353-365



110.      2001:  Factor analysis and latent structure. In International Encyclopedia for Social     and Behavioral Sciences


111.     2001:Egon Sharpe Pearson. In Statisticians of the Centuries ed. C. C. Heyde and E.                 Seneta,  373

            376, Heidelberg: Springer-Verlag


112       2002:   Old and New Approaches to Latent Variable Modelling. In Latent Variable   and   Latent Structure

             Models, ed. G A Marcoulide and I Moustaki, Mahwah, New Jersey:   Lawrence   Erlbaum Associates


 113      2002: & Leung S O. A Goodness of Fit Test for Sparse 2^p Contingency Tables.     British Journal of Mathematical and Statistical Psychology , 55, 1- 25.  


 114       2003:  A unified statistical approach to some measurement problems in the social sciences. In Stochastic

              Musings Perspectives from the Pioneers of the Late 20th Century, John  Panaretos(ed.), 13 - 28, Mahwah,

              New Jersey and London: Lawrence Erlbaum Associates


115      2005: Mathematical and Statistical Approaches. In Encyclopedia of Social Measurement  Vol 2. Elsevier Inc.



116      2005 : History of Factor Analysis: A Statistical Perspective. Encyclopedia of Statistics in Behavioural Science,

          Vol.2. John Wiley and Sons Limited. 851-858


117     2005: Maxwell, Albert Ernest. Encyclopedia of Statistics in Behavioural Science,Vol.3.  John Wiley and

           Sons Limited. 175-176

118     2007 : Three Faces of Factor Analysis, Chapter 2 in Factor Analysis at 100: Historical developments and future directions, Robert Cudeck and                 Robert C MacCullum (eds.), 9-21, Mahwah, New Jersey and London: Lawrence ErlbaumAssociates

119      2008:  Lawn, Martin, Deary, Ian, A Conversation Between Charles Spearman,Godfrey Thomson and Edward L. Thorndike: The international examinations inquiry meetings 1931-1938, History of Psychology, 11, 122-142


120      2008: & Lawn, Martin, Deary, Ian, Naïve, Expert and Willing Partners: the Scottish Council for Research in Education in the International Examinations Inquiry in An Atlantic Crossing, Martin Lawn(ed.), 119-136, Didcot, Oxford: Symposium Books


121      2008: God and Probability, Chapter 8 in Creation:Law and Probability,      Fraser Watts (ed.), 139 -153, Aldershot, England : Ashgate


122      2009:& Lawn, Martin, Deary, Ian, ‘Godfrey Thomson: a statistical pioneer’, Journal of the Royal Statistical Society A 172, 1-161


123     2009: & Lawn, Martin, Deary, Ian, “Intelligence and Civilisation” A Ludwig Mond lecture delivered at the University of Manchester on 23rd October 1936 by Godfrey H Thomson. A reprinting with background and Commentary, Intelligence, 37, 48-61


124      2009: &Deary I, J, Lawn, M , ‘A New Lease of Life for Thomson’s Bonds Model’, Psychological Review,  116,  567–579


125      2009 ; & Lawn, Martin,  Deary, Ian J., Brett, Caroline .'Godfrey Thomson and the rise of university pedagogical study: a recorded lecture delivered at the University of Edinburgh in November 1950 by Godfrey H. Thomson: a transcript with commentary', History of Education,38:4,  565-585



126       2009: Deary I, J, Lawn, M., ‘The Origin of Factor Scores:Spearman, Thomson and BartlettBritish Journal of Mathematical and Statistical Psychology , 62, 569–582


127       2010: Indirect Measurement, Chapter 23 in The Sage Handbook of Measurement,

  G. Walker, E Tucker and M Viswamathan (eds), 455-468, London, Sage  Publications Ltd.


128        2010: & & Lawn, Martin, Deary, Ian J., Brett, Caroline, Pattie, Alison, Archival            

              Sources for Sir Godfrey Hilton Thomson, History of Psychology,  13, 95-101


129        2010 :The Interpretation of Multivariate Data International Encyclopedia of Education 3rd Edition. Edited by Eva Baker, Penelope Peterson and Barry McGaw, Elsevier 12-17


130        2010 : Principal Components Analysis. International Encyclopedia of Education 3rd Edition. Edited by Eva Baker, Penelope Peterson and Barry McGaw, Elsevier 374-377


131       2010 : Victor Stenger’s  Scientific Critique of Christian Belief, Science and Christian Belief, 22, 117 - 131


132       2010: & Pattie, Alison. Brett, Caroline, Lawn, Martin and Deary, Ian.   Reconstructing a Scottish School of Educational Research 1925-1950  Scottish Archives, 16, 70-86


133      2011: Factor Analysis and Latent Variable  Modelling. International Encyclopedia of Statistical Science ,501-503, Edited by Miodrag Lovric, Springer-Verlag, Berlin Heidelberg


134      2013:& Allerhand, Michael and Deary, Ian.  Measuring Mental Capacity: Thomson's Bonds  Model andSpearman's Model Compared. Intelligence, 41, 2-233.