Statistical Science
- Statist. Sci.
- Volume 22, Number 3 (2007), 368-399.
A.-M. Guerry’s Moral Statistics of France: Challenges for Multivariable Spatial Analysis
Full-text: Open access
Abstract
André-Michel Guerry’s (1833) Essai sur la Statistique Morale de la France was one of the foundation studies of modern social science. Guerry assembled data on crimes, suicides, literacy and other “moral statistics,” and used tables and maps to analyze a variety of social issues in perhaps the first comprehensive study relating such variables. Indeed, the Essai may be considered the book that launched modern empirical social science, for the questions raised and the methods Guerry developed to try to answer them.
Guerry’s data consist of a large number of variables recorded for each of the départments of France in the 1820–1830s and therefore involve both multivariate and geographical aspects. In addition to historical interest, these data provide the opportunity to ask how modern methods of statistics, graphics, thematic cartography and geovisualization can shed further light on the questions he raised. We present a variety of methods attempting to address Guerry’s challenge for multivariate spatial statistics.
Article information
Source
Statist. Sci., Volume 22, Number 3 (2007), 368-399.
Dates
First available in Project Euclid: 2 January 2008
Permanent link to this document
https://projecteuclid.org/euclid.ss/1199285037
Digital Object Identifier
doi:10.1214/07-STS241
Mathematical Reviews number (MathSciNet)
MR2399897
Zentralblatt MATH identifier
1246.91004
Keywords
History of graphics crime mapping biplot multivariate visualization moral statistics
Citation
Friendly, Michael. A.-M. Guerry’s Moral Statistics of France : Challenges for Multivariable Spatial Analysis. Statist. Sci. 22 (2007), no. 3, 368--399. doi:10.1214/07-STS241. https://projecteuclid.org/euclid.ss/1199285037
References
- Anonymous (1833). Guerry on the statistics of crimes in France. Westminster Review 18 353--366.
- Anselin, L. and Bera, A. (1998). Spatial dependence in linear regression models with an introduction to spatial econometrics. In Handbook of Applied Economic Statistics (A. Ullah and D. Giles, eds.) 237--289. Dekker, New York.
- Arbuthnot, J. (1710). An argument for devine providence, taken from the constant regularity observ'd in the births of both sexes. Philosophical Transactions 27 186--190.
- Balbi, A. (1822). Essai statistique sur le royaume de Portugal et d'Algarve, comparé aux autres Etats de l'Europe et suivi d'un coup d'œ il sur l'état actuel des sciences, des lettres et des beaux-arts parmi les Portugais des deux hémisphères... Rey et Gravier, Paris. 2 vol. \textsfBNF: FB-16466/7.
- Balbi, A. and Guerry, A.-M. (1829). Statistique comparée de l'état de l'instruction et du nombre des crimes dans les divers arrondissements des académies et des cours royales de France. Jules Renouard, Paris. \textsfBL:Tab.597.b.(38); BNF: Ge C 9014.
- Beirne, P. (1993a). Adolphe Quetelet and the origins of positivist criminology. Amer. J. Sociology 92 1140--1169.
- Beirne, P. (1993b). The social cartography of crime: A. M. Guerry's Statistique Morale (1833). In Inventing Criminology Chapter 4, 111--141. State University of Albany Press, Albany, NY.
- Berghaus, H. (1838). Physikalischer Atlas. Justus Perthes, Gotha.
- Bienaymé, J. (1861). Rapport sur le concours pour le prix de statistique (1860). Fondation Montyon, Comptes rendus de l'Académie des science. 25 Mar 1861, t. LII, and 23 Dec 1861, t. LIII.
- Bills, C. B. and Li, G. (2005). Correlating homicide and suicide. Internat. J. Epidemiology 34 837--845.
- Bulwer, H. L. (1834). France, Social, Literary, Political. Baudry's European Library, Paris.
- Carr, D., D. and MacEachren, A. (2005). Conditioned choropleth maps and hypothesis generation. Ann. Assoc. American Georgraphers 95 32--53.
- Carré de Busserolle, J.-X. (1880). Dictionnaire géographique, historique et biographique d'Indre-et-Loire et de l'ancienne province de Touraine. Rouillé-Ladevéze, Tours.
- Caunter, G. H. (1833). Review of Essay on the Moral Statistics of France. Athenaeum 303 537--539.
- Chernoff, H. (1973). The use of faces to represent points in $k$-dimensional space graphically. J. Amer. Statist. Assoc. 68 361--368.
- Chevalier, L. (1958). Classes Laborieuses et classes dangereuses à Paris pendant la prèmiere moitié du XIX siècle. Plon, Paris.
- Chevallier, V. (1871). Notice nécrologique sur M. Minard, inspecteur génèral ds ponts et chaussées, en retraite. Ann. ponts et chaussées, 5$^e$ série; 2$^e$ semestre, 1--22.
- Cleveland, W. S. (1993). Visualizing Data. Hobart Press, Summit, NJ.
- Cleveland, W. S., Grosse, E. and Shu, W. M. (1992). Local regression models. In Statistical Models in S (J. M. Chambers and T. J. Hastie, eds.) 309--372. Wadsworth, Pacific Grove, CA.
- Diard, H. (1866). Statistique Morale de L'Angleterre et de la France par M. A.-M. Guerry: Études sur cet Ouvrage. Baillière et fils, Paris.
- Diard, H. (1867). Discours de M. A. Maury et notices de MM. H. Diard et E. Vinet [On André-Michel Guerry]. Baillière et fils. \textsfBNF: 8- LN27- 23721 I. Discours de M. Alfred Maury II. Notice de M. H. Diard (Journal d'Indre-et-Loire, 13 Apr 1866) III. Notice de M. Ernest Vinet (Journal des débats, 27 Apr 1866).
- d'Ocagne, M. (1893). Le calcul simplifié par les procédés mécaniques et graphiques. Ann. Conservatoire des Arts et Métiers, 2e série, tome 5, 231--268, 269--282, 323--349.
- Dupin, C. (1826). Carte figurative de l'instruction populaire de la France. Jobard. \textsfBNF: Ge C 6588 [Funkhouser (1937, page 300) incorrectly dates this as 1819.]
- Dupin, C. (1827). Forces productives et commerciales de la France. Bachelier.
- Durkheim, E. (1897). Le Suicide. Alcan, Paris.
- Dykes, J., MacEachren, A. M. and Kraak, M.-J. (2005). Exploring Geovisualisation. Elsevier, New York.
- Elmer, M. C. (1933). Century-old ecological studies in France. Amer. J. Sociology 39 63--70.
- Faure, F. (1918). The development and progress of statistics in France. In The History of Statistics: Their Development and Progress in Many Countries (J. Koren, ed.) 218--329. Macmillan, New York.
- Fox, J., Friendly, M. and Monette, G. (2007). Visual hypothesis tests in multivariate linear models: The heplots package for R. In DSC 2007: Directions in Statistical Computing. Auckland, NZ.
- Freedman, D. A. (2001). Ecological inference and the ecological fallacy. In International Encyclopedia of the Social and Behavioral Sciences (N. J. Smelser and P. B. Baltes, eds.) 6 4027--4030. North-Holland, Amsterdam.
- Friendly, M. (1991). SAS System for Statistical Graphics, 1st ed. SAS Institute, Cary, NC.
- Friendly, M. (2002). Visions and Re-Visions of Charles Joseph Minard. J. Educational and Behavioral Statistics 27 31--51.
- Friendly, M. (2005). Milestones in the history of data visualization: A case study in statistical historiography. In Classification: The Ubiquitous Challenge (C. Weihs and W. Gaul, eds.) 34--52. Springer, New York.
- Friendly, M. (2006). Data ellipses, HE plots and reduced-rank displays for multivariate linear models: SAS software and examples. J. Statist. Software 17 1--42.
- Friendly, M. (2007a). A brief history of data visualization. In Handbook of Computational Statistics: Data Visualization (C. Chen, W. Härdle and A. Unwin, eds.) III. Springer, Heidelberg.
- Friendly, M. (2007b). HE plots for multivariate general linear models. J. Comput. Graph. Statist. 16 421--444.Mathematical Reviews (MathSciNet): MR2370948
Digital Object Identifier: doi:10.1198/106186007X208407 - Friendly, M. (2007c). La vie et l'oeuvre d'André-Michael Guerry (1802--1866). Mémoires de l'Académie de Touraine. To appear.
- Friendly, M. and Denis, D. (2005). The early origins and development of the scatterplot. J. History of the Behavioral Sciences 41 103--130.
- Friendly, M. and Kwan, E. (2003). Effect ordering for data displays. Comput. Statist. Data Anal. 43 509--539. Mathematical Reviews (MathSciNet): MR2005451
- Friendly, M. and Palsky, G. (2007). Visualizing nature and society. In Maps: Finding Our Place in the World (J. R. Ackerman and R. W. Karrow, eds.) 205--251. Univ. Chicago Press.
- Gabriel, K. R. (1971). The biplot graphic display of matrices with application to principal components analysis. Biometrics 58 453--467. Mathematical Reviews (MathSciNet): MR0312645
Zentralblatt MATH: 0228.62034
Digital Object Identifier: doi:10.1093/biomet/58.3.453
JSTOR: links.jstor.org - Gabriel, K. R. (1981). Biplot display of multivariate matrices for inspection of data and diagnosis. In Interpreting Multivariate Data Chapter 8 (V. Barnett, ed.) 147--173. Wiley, London.
- Gnanadesikan, R. and Kettenring, J. R. (1972). Robust estimates, residuals, and outlier detection with multiresponse data. Biometrics 28 81--124.
- Gower, J. C. and Hand, D. J. (1996). Biplots. Chapman and Hall, London.
- Graunt, J. (1662). Natural and Political Observations Mentioned in a Following Index and Made Upon the Bills of Mortality. Martin, Allestry, and Dicas, London.
- Guerry, A.-M. (1829). Mémoire sur les variations méterologiques comparées aux phénomènes physiologiques. Ann. d'Hygiène Publique et de Médecine Légale I 228.
- Guerry, A.-M. (1832). Statistique comparée de l'état de l'instruction et du nombre des crimes. Everat, Paris.
- Guerry, A.-M. (1833). Essai sur la statistique morale de la France. Crochard, Paris.
- Guerry, A.-M. (1864). Statistique morale de l'Angleterre comparée avec la statistique morale de la France, d'après les comptes de l'administration de la justice criminelle en Angleterre et en France, etc. J.-B. Baillière et fils, Paris. \textsfBNF: GR FOL-N-319; SG D/4330; BL: Maps 32.e.34; SBB: Fe 8586; LC: 11005911.
- Hacking, I. (1990). The Taming of Chance. Cambridge Univ. Press.
- Herschel, J. F. W. (1831). A Preliminary Discourse on the Study of Natural Philosophy. Carey and Lea, London.
- Herschel, J. F. W. (1833). On the investigation of the orbits of revolving double stars. Memoirs of the Royal Astronomical Society 5 171--222.
- Hirsch, S. A. (1982). An algorithm for automatic name placement around point data. The American Cartographer 9 5--17.
- Ihaka, R. (2003). Colour for presentation graphics. In Proceedings of the 3rd International Workshop on Distributed Statistical Computing (DSC 2003). Technische Universität Wien, Vienna, Austria.
- Isambert, F.-A. (1969). Les recherches statistiques d'Ange-Michel Guerry (sic). Cahiers Internationaux de Sociologie 47 35--44.
- Klein, J. L. (1997). Statistical Visions in Time: A History of Time Series Analysis, 1662--1938. Cambridge Univ. Press.
- Kuhfeld, W. F. (1991). A heuristic procedure for label placement in scatterplots. Paper presented to the Psychometric Society.
- Kuhfeld, W. F. (1994). Graphical scatterplots of labeled points. Observations 3 223--237. Available at http://support.sas.com/techsup/technote/ts722k.pdf.
- Larousse, P. (1866). Grand dictionnaire universel du XIX siécle. Larousse, Paris.
- Lazarsfeld, P. F. (1961). Notes on the history of quantification in sociology---trends, sources and problems. Isis 52 277--333.
- Lemon, J., Bolker, B., Oom, S., Klein, E., Rowlingson, B., Wickham, H., Tyagi, A. and Eterradossi, O. (2007). Plotrix: Various plotting functions. R package version 2.1-8.
- Monette, G. (1990). Geometry of multiple regression and interactive 3-D graphics. In Modern Methods of Data Analysis Chapter 5 (J. Fox and S. Long, eds.) 209--256. Sage Publications, Beverly Hills, CA.
- Nightingale, F. (1857). Mortality of the British Army. Harrison and Sons, London.
- Noma, E. (1987). Heuristic method for label placement in scatterplots. Psychometrika 52 463--468.
- Palsky, G. (1996). Des Chiffres et des Cartes: Naissance et développement de la cartographie quantitative française au XIX$^e$ siècle. Comité des Travaux Historiques et Scientifiques (CTHS), Paris.
- Parent-Duchâtelet, A. J. B. (1836). De la prostitution dans la ville de Paris. Dumont, Bruxelles.
- Petty, W. (1665). The Economic Writings of Sir William Petty: Together with the Observations upon the Bills of Mortality. Cambridge Univ. Press.
- Porter, T. M. (1986). The Rise of Statistical Thinking 1820--1900. Princeton Univ. Press.
- Quetelet, A. (1831). Recherches sur le penchant au crime aux différents âges. Hayez, Brussels.
- Quetelet, A. (1835). Sur l'homme et le développement de ses facultés, ou Essai d'une physique sociale. Bachelier, Paris.
- Rousseeuw, P. and Leroy, A. (1987). Robust Regression and Outlier Detection. Wiley, New York.
- Rousseeuw, P. and Van Driessen, K. (1999). A fast algorithm for the minimum covariance determinant estimator. Technometrics 41 212--223.
- Seber, G. A. F. (1984). Multivariate Observations. Wiley, New York.
- Slocum, T. A., McMaster, R. B., Kessler, F. C. and Howard, H. H. (2005). Thematic Cartography and Geographic Visualization, 2nd ed. Pearson Prentice Hall, Upper Saddle River, NJ.
- Süssmilch, J. P. (1741). Die göttliche Ordnung in den Veränderungen des menschlichen Geschlechts, aus der Geburt, Tod, und Fortpflantzung. Germany.
- Theus, M. (2002). Interactive data visualization using Mondrian. J. Statist. Software 7.
- Trumbo, B. E. (1981). A theory for coloring bivariate statistical maps. The American Statistician 35 220--226.
- van Kreveld, M., Strijk, T. and Wolff, A. (1999). Point labeling with sliding labels. Comput. Geometry: Theory and Applications 13 21--47. Mathematical Reviews (MathSciNet): MR1703019
Digital Object Identifier: doi:10.1016/S0925-7721(99)00005-X
Zentralblatt MATH: 0930.68153 - Vapereau, G. (1858). Dictionnaire universel des contemporains. Hachette, Paris.
- Whitt, H. (2002). Inventing sociology: André-Michel Guerry and the Essai sur la statistique morale de la France. In Essai sur la statistique morale de la France ix--xxxvii. Edwin Mellen Press, Lewiston, NY.
- Whitt, H. P. (2007). Modernism, internal colonialism, and the direction of violence: Suicide and crimes against persons in France, 1825--1830. Unpublished manuscript.
- Whitt, H. P., McMorris, B. J. and Weaver, G. (1997). Crime and violance in France, 1825--1830: André-Michel Guerry and the Essai sur la statistique de la France. Paper presented at the Annual Meeting of the Southern Sociological Society, New Orleans, LA.
- Wolff, A. and Strijk, T. (1996). The map-labeling bibliography. Web document. Available at http://i11www.iti.uni-karlsruhe.de/~awolff/map-labeling/bibliography/.
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