Abstract
Among techniques for the quantitative analysis of categorical data, log-linear models at present occupy a central place in social statistics, their sophistication and complexity having rapidly evolved over the past three decades. The article examines a specific variant of this approach to modeling which consists of log-linear topological models. It starts from the debate which followed introduction of the latter at the end of the 1970s to offer a new evaluation of the heuristic and methodological utility of this technique in light of recent discussion more generally concerned with the quantitative variables-based approach. In this regard, the article puts forward two arguments. It first maintains that log-linear topological models, especially in their multi-matrix variant, are extremely useful in integrating sociological theory with empirical quantitative analysis. It then shows that the principal shortcoming of these models is that they only partially allow the accurate modeling of the generative mechanisms underlying all the empirical regularities observed in aggregate data. These models are thus very attractive in that they go beyond the descriptive level of numerous works in quantitative sociology, and yet they are incapable of yielding explanations founded on the notion of generative mechanisms. In order not to remain at the abstract level of epistemological reflection, the article will attempt to show the well-foundedness of this thesis by constructing a multi-matrix log-linear topological model for the analysis of a contingency table which cross-classifies social origin with the educational qualification. The model is then tested against French survey data. To the extent that this model attempts to express ideas drawn from a specific theoretical approach – that of ‘rational educational choice’ – the analysis can contribute to both the study and understanding of inequalities in educational opportunity.
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References
Abbott, A. (1992a). From causes to events. Notes on narrative positivism. Sociological Methods and Research 20(4).
A. Abbott (1992b) What do cases do? Some notes on activity in sociological analysis C. C. Ragin H. S. Becker (Eds) What is a Case? Exploring the Foundations of Social Inquiry Cambridge University Press Cambridge
Abbott, A. (1995). Sequence analysis: new methods for old ideas. Annual Review of Sociology 21.
Abbott, A. (2000). Reply to Levine and Wu. Sociological Methods and Research 29(1).
Abbott, A. and Hrycak, A. (1990). Measuring resemblance in sequence data: an optimal matching analysis of musicians careers. American Journal of Sociology 96(1).
Abbott, A. and Tsay, A. (2000). Sequence analysis and optimal matching methods in sociology. Sociological Methods and Research 29(1).
Abell P. (1984). Comparative narratives: some rules for study of action. Journal for the Theory of Social Behaviour 14.
Abell, P. (1998). Causality and low frequency complex events: the role of comparative narratives. communication ISA, Montréal.
Abell, P. (2003). The role of rational choice and narrative action theories in sociological theory. Revue Française de Sociologie 44(2).
Agodi, M. C. (1996). Qualità e quantità: un falso dilemma e tanti equivoci. In: C. Cipolla and A. De Lillo (eds.), Il sociologo e le sirene. La sfida dei metodi qualitativi. Milano, FrancoAngeli.
L. Althusser (1970) Ideologia ed apparati ideologici di stato M. Barbagli (Eds) Istruzione, legittimazione, Conflitto Il Mulino Bologna
Backman, O. and Edling, C R. (1999). Mathematics matters: on the absence of mathematical models in quantitative sociology. Acta Sociologica 42(1).
Ballarino, G. and Bernardi, F. (2000). Uso di dati time-budget per lo studio delle risorse familiari: capitale sociale e culturale dei genitori e disuguaglianza delle opportunità educative. communication Workshop on social capital, Trento, 19-20/10/ 2000.
Ballarino, G. and Cobalti, A. (2003). Mobilità sociale. Roma, Carocci.
F. Barbera (2004) Meccanismi sociali. Elementi di sociologia analitica Il Mulino Bologna
Barbut, M. (1984). Note sur quelques indicateurs globaux de l’inégalité. Revue française de sociologie XXV(4).
Barbut, M. (1985). Commentaire sur la note de J-C. Combessie. Revue française de sociologie. XXVI(1).
C. Baudelot R. Establet (1971) L’école capitaliste en France Maspero Paris
Beaud, S. (2003)2. 80% au bac ... et après? Les enfants de la démocratisation scolaire, Paris, La Découverte.
Becker, R. (2003). Educational expansion and persistent inequality of education. Utilizing subjective expected utility theory to explain increasing participation rates in upper secondary school in the Federal republic of Germany. European Sociological Review 19(1).
Berger, P. (2002). Non verso lacrime sulla sociologia. La stampa, décembre.
Y. M. M. Bishop S. E. Fienberg P. W. Holland (1975) Discrete Multivariate Analysis MIT Press Cambridge
Blossfeld, H. -P. (1996). Macro-sociology, rational choice theory, and time. A theoretical perspective on the empirical analysis of social processes. European Sociological Review 12(2).
H.-P. Blossfeld (1998) A dynamic integration of micro- and macro-perspective using longitudinal data and event history models H.-P. Blossfeld G. Prein (Eds) Rational Choice Theory and Large-Scale Data Analysis Westview Press Boulder Co.
Bohrnstedt, G. W. and Knoke, D. (1998). Statistica per le scienze sociali, Bologna, Il Mulino, (éd. Or. Statistics for Social Data Analysis, Itasca: Peacock publishers, 1994).
Boudon, R. (1973). L’inégalité des chances. La mobilité sociale dans les sociétés industrielles, Paris, Colin.
Boudon, R. (1976). Comment on Hauser’s review of education, opportunity, and social inequality. American Journal of Sociology 81(4).
R. Boudon (1979) Generating models as a research strategy R. K. Merton J. S. Coleman P. H. Rossi (Eds) Qualitative and Quantitative Social Research The free press New York
Boudon, R. (1990). Les causes de l’inégalité des chances scolaires. In: R. Boudon, C.-H. Cuin and A. Massot (eds.), L’axiomatique de l’inégalité des chances, L’Harmattan, Presse de l’université de Laval.
R. Boudon (1997) Metodologia della sociologia e delle scienze sociali Jaca Book Torino
R. Boudon (1998) Social mechanisms without black boxes P. Hedstrom R. Swedberg (Eds) Social mechanisms. An Analytical Approach to Social Theory Cambridge University Press Cambridge
Boudon, R. (2002). Sociology that really matters. European Sociological Review 18.
R. Boudon (2003) Raison, Bonnes Raisons Puf Paris
P. Bourdieu (1966) La trasmissione dell’eredità culturale M. Barbagli (Eds) Istruzione, Legittimazione, Conflitto Il Mulino Bologna
P. Bourdieu (1973) Cultural reproduction and social reproduction R. Brown (Eds) Knowledge, Education and Culture Tavistock London
P. Bourdieu (1979) La distinction Critique sociale du jugement. Minuit Paris
P. Bourdieu (1986) The forms of capital A. H. Halsey (Eds) et al. Education: Culture, Economy and Society Oxford University Press Oxford
P. Bourdieu J. -C. Passeron (1964) Les héritiers Les étudiants et la culture Minuit Paris
P. Bourdieu J. C. Passeron (1970) La reproduction Eléments pour une théorie du système d’enseignement Minuit Paris
S. Bowles H. Gintis (1973) Q.I. e struttura di classe negli Stati Uniti M. Barbagli (Eds) Istruzione, legittimazione, conflitto Il Mulino Bologna
Breen, R. (2001). A rational choice model of educational inequality. Istituto Juan March, Madrid, Working Paper 2001/166.
R. Breen (Eds) (2004) Social Mobility in Europe Oxford University Press Oxford
Breen, R. and Jonsson, J. O. (2000). Analyzing educational carrers: A multinomial transition model. American Sociological Review 65 October.
Breen, R. and Jonsson, J. O. (2003). Period and Cohort Change in Social Fluidity: Sweden, 1976–1999 unpublished paper.
R. Breen M. Yaish (2003) Testing the Breen–Goldthorpe Model of educational decision making. Working paper Nuffield College Oxford
Bunge, M. (1997). Mechanisms and explanation. Philosophy of Social Sciences 27(4).
Bunge, M. (1998). Social Science Under Debate: A Philosophical Perspective. University of Toronto Press.
Cannavò, L. (1988). Qualità e quantità: tra metodologia sociologica e sociologia della scienza. Sociologia e ricerca sociale 28.
Cardano, M. (1991). Il sociologo e le muse. Qualità e quantità nella ricerca sociologica. Rassegna italiana di sociologia 32(2).
M. Cherkaoui (1979) Les paradoxes de la réussite scolaire. Sociologie comparée des systèmes d’enseignement PUF Paris
M. Cherkaoui (1986) Sociologie de l’éducation PUF Paris
M. Cherkaoui (2000) La stratégie des mécanismes générateurs comme logique de l’explication F. Chazel J. Baechler (Eds) L’acteur et ses raisons Puf Paris
M. Cherkaoui (2003a) Effets de composition et mécanismes générateurs M. Borlandi L. Sciolla (Eds) Teorie e metodi delle scienze sociali Il Mulino Bologna
Cherkaoui, M. (2003b). The individual and the collective. On the syntaxes of stratification theory. European Review 11(4).
C. C. Clogg A. Haritou (1997) The regression method of causal inference and a dilemma confronting this method V. R. McKim P. S. Turner (Eds) Casuality in Crisis? University of Notre Dame Press Indiana
Cobalti A. (1989a). La diseguaglianza delle opportunità educative: problemi di misura del cambiamento nel tempo. In: R. Moscati (dir.), La sociologia dell’educazione in Italia. Centralità e marginalità della scuola. Bologna: Zanichelli.
Cobalti, A. (1989b). A relative mobility table. A modest proposal. Quality and Quantity 23.
Cobalti, A. (1989c). L’analise dei dati di mobilità. La tavola di mobilità relativa. Quaderni di sociologia 12.
Cobalti, A. (1992). Origine sociale e livello di istruzione: un modello. Polis 6(1).
Cobalti, A. (1995). Lo studio della mobilità sociale. Metodi e prospettive dell’indagine sociologica, Roma, Nis.
Cobalti A. (1996). Istruzione e mobilità sociale in Italie: recenti analisi dei dati del 1985, Polis, X, 3.
A. Cobalti A. Schizzerotto (1994) La mobilità sociale in Italia L’influenza dei fattori di diseguaglianza sul destino educativo, professionale e sociale dei singoli nel nostro paese Il Mulino Bologna
J. Coleman (1990) The Foundations of Social Theory Harvard university press Cambridge
R. Collins (1992) Teorie Sociologiche Il Mulino Bologna
Combessie, J. -C. (1984). L’évolution comparée des inégalités: problèmes statistiques. Revue Française de Sociologie XXV.
Combessie, J. -C. (1985). Paradoxe des fonctions de concentration. Revue française de Sociologie XXVI.
Cox, D. R. (1992). Causality: some statistical aspects. Journal of the Royal Statistical Society 155 Series A.
Cox, D. R. and Wermuth, N. (1993). Linear dependencies represented by chain graphs. Statistical Science 8.
Cuin, C. -H. (2000). Ce que (ne) font (pas) les sociologues. Petit essai d’épistémologie critique. Genève, Droz.
Davies, R., Heinesen, E. and Holm, A. (2002). The relative risk aversion hypothesis of educational choice. Journal of Population Economics 15(4).
Desrosières, A. and Thévenot, L. (2002). Les catégories socioprofessionnelles. Paris, La Découverte.
Di Franco, G. (2003). L’analise multivariata nelle scienze sociali. Modelli log-lineari e variabili categoriali. Roma, Carocci.
Duru-Bellat, M. (2002). Les inégalités sociales à l’école. Genèse et mythes. Paris, Puf.
Duru-Bellat, M., Le Bastard-Landrier, S., Piquée, C., and Suchaut, B. (2004). Tonalité sociale du contexte et expérience scolaire des élèves au lycée et à l’école primaire. Revue Française de Sociologie 45(3).
Edling, C. R. (2002). Mathematics in sociology. Annual Review of Sociology 28.
J. Elster (1998) A plea for mechanisms P. Hedstrom R. Swedberg (Eds) Social Mechanisms An Analytical Approach to Social Theory. Cambridge University Press Cambridge
J. Elster (2003) Proverbes, Maximes, Émotions Puf Paris
R. Erikson J. Goldthorpe (1992) The constant Flux: A Study of Class Mobility in Industrial Society Clarendon Press Oxford
Esping-Andersen, G. and Mestres, J. (2003). Ineguaglianza delle opportunità ed eredità sociale. Stato e Mercato 67.
Esser, H. (1996). What is wrong with ‘variable sociology’? European Sociological Review 12(2).
T. J. Fararo (1969) Stochastic process E. F. Borgatta (Eds) Sociological Methodology Jossey-Bass San Francisco
Fararo, T. J. (1984). Preface. Journal of Mathematical Sociology 10.
T. J. Fararo (1989) The meaning of general theoretical sociology Tradition and Formalisation. Cambridge University Press Cambridge
Fararo T. J., Hummon N. P. (1995). The emergence of computational sociology. Journal of Mathematical Sociology. 20(2–3).
D. L. Featherman R. Hauser (1978) Opportunity and Change Academic Press New York
Florens. J. -P. (1984). Inégalité et dépendance statistique. Revue Française de Sociologie. XXV.
Freedman, D. A. (1991a). Statistical analysis and shoe leather. Sociological Methodology 21.
Freedman, D. A. (1991b). A rejoinder to Berk, Blalock and Mason. Sociological Methodology 21.
D. Gambetta (1987) Where They Pushed or Did They Jump? Individual Decision Mechanism in Education Cambridge University Press Cambridge
D. Gambetta (1998) Concatenations of mechanisms P. Hedstrom R. Swedberg (Eds) Social Mechanisms An Analytical Approach to Social Theory. Cambridge University Press Cambridge
Garnier, A. M. and Raffalovich, E. L. (1984). The evolution of equality of educational opportunities in France. Sociology of Education 57.
N. Gilbert (1993) Analyzing Tabular Data Loglinear and Logistic Models for Social Researchers. UCL Press London
N. Gilbert K. Troitzsch (1999) Simulation for the Social Scientist Open University Press Philadelphia
J. Goldthorpe C. avec Llewellyn C. Payne (1980) Social Mobility and Class Structure in Modern Britain Clarendon Press Oxford
Goldthorpe, J. (1995). ‘Le noyau dur’: fluidité sociale en Angleterre et en France depuis les années 1970 et 1980. Revue Française de Sociologie XXXVI(1).
J. Goldthorpe (2000) On Sociology. Numbers, Narratives, and the Integration of Research and Theory Oxford University Press Oxford
Goldthorpe, J. (2003a). Sociology as social science and cameral sociology: some further thoughts. Sociology Working Papers, 2003–07, Department of Sociology, Oxford.
Goldthorpe, J. (2003b). Progress in sociology: The case of social mobility research. Sociology Working Papers, Paper number 2003–08, Department of Sociology, Oxford.
Goux, D. and Maurin, E. (1995). Origine sociale et destinée scolaire. Revue Francaise de Sociologie XXXVI(1).
Grémy, J. -P. (1984). Sur les différences entre pourcentage et leur interprétation. Revue Française de Sociologie XXV.
Grusky, D. B. and Di Carlo, M. (2001). Should Sociologists Plod Along and Establish Descriptive Regularities or Seek a Grand Explanation of Them? European Sociological Review 17(4).
Grusky, D. B. and Hauser, R. (1984) Comparative social mobility revisited: models of convergence and divergence in 16 Country. American Sociological Review 49.
Halpin, B. (1999). Simulation in sociology. American behavioral scientist 42(10).
Hanneman, R. A., Collins R. and Mordt, G. (1995). Discovering theory dynamics by computer simulation: experiments on state legitimacy and imperialist capitalism. Sociological Methodology 25(1).
R. Harré (1972) The Philosophies of Science An Introductory Survey Oxford University Press Oxford
R. Harré P. F. Secord (1972) The Explanation of Social Behaviour Oxford University Press Oxford
Hauser, R. (1978). A structural model of the mobility table. Social Forces 56(3).
R. Hauser (1979) Some exploratory methods for modelling mobility tables and other cross-classified data K. F. Schuessler (Eds) Sociological Methodology Jossey-Bass San Francisco
Hauser, R. (1981). Hope for the Mobility ratio. Social Forces 60(2).
Hauser, R. (1986). Reinventing the Oxcart: Jones’ obsolete proposal for the mobility analysis. Social Forces 64(4).
Hauser, R. (1987). Reply to Kim. Social Forces 65(3).
M. Hechter (1998) The future of rational choice theory and its relationships to quantitative macro-sociological research H.-P. Blossfeld G. Prein (Eds) Rational Choice Theory and Large-Scale Data Analysis Westview Press Boulder Co.
Hedstrom, P. (2003). Generative models and explanatory research: on sociology of Aage Sorensen. http://www.nuff.ox.ac.uk/Sociology/Group/Hedstrom.htm.
P. Hedstrom (2005) Dissecting the Social: On the Principles of Analytical Sociology Cambridge University Press Cambridge
Hedstrom, P. and Swedberg, R. (1996). Rational choice, empirical research, and the sociological tradition. European Sociological Review 12(2).
P. Hedstrom R. Swedberg (Eds) (1998a) Social Mechanisms. An Analytical Approach to Social Theory Cambridge University Press Cambridge
P. Hedstrom R. Swedberg (1998b) Social mechanisms: an introductory essay P. Hedstrom R. Swedberg (Eds) Social Mechanisms An Analytical Approach to Social Theory Cambridge University Press Cambridge
Heise, D. (1995). Sociological algorithms: preface. Journal of Mathematical Sociology 20(2–3).
Hillmert, S. and Jacob, M. (2003). Social inequality in higher education. Is vocational training a pathway leading to or away from university? European Sociological Review 19(3).
Hope, K. (1981). The new mobility ratio. Social Forces 60(2).
M. Hout (1983) Mobility Tables Sage London
Jones, F. L. (1985). New and (very) old mobility ratio: is there life after Benini. Social Forces 63(3).
Jones, F. L. (1986). Reponse to Hauser. Social Forces 64(4).
Jones, F. L., Wilson, S. R. and Pittelkow, Y. (1990). Modelling mobility: the use of simulation to choose between near-equivalent models. Quality and Quantity 24.
Jonsson, J. O. (2004). Equality at a Halt? Social Mobility in Sweden, 1976–99. In: R. Breen (ed.), Social Mobility in Europe. Oxford: Oxford University Press 2004, chap. 9.
Jonsson, J. O. and Erikson, R. (2000). Understanding educational inequality: the Swedish experience. L’année Sociologique 50(2).
Kaufman, R. L. and Schervish, P. G. (1986). Using adjusted crosstabulations to interpret log-linear relationship. American Sociological Review 51 October.
Kaufman, R. L. and Schervish, P. G. (1987). Variations on a theme. More uses of odds ratios to interpret log-linear parameters. Sociological Methods and Research 16(2).
Kim, J. -O. (1987). Social mobility, status inheritance, and structural constraints: conceptual and methodological considerations. Social Forces 65(3).
R. Layte C.T. Whelan (2004) Class transformation and trends in social fluidity in the Republic of Ireland 1973–94 R. Breen (Eds) Social Mobility in Europe Oxford University press 2004 Oxford
Logan, J. A. (1996). Rules of access and shift in demand: a comparison of log-linear and two-sided logit models. Social Science Research 25.
MacDonald, K. I. (1981). On the formulation of a structural model of the mobility table. Social Forces 60(2).
MacDonald, K. I. (1983). On the interpretation of a structural model of the mobility table. Quanlity and Quantity 17.
Macy, W. M. and Willer, R. (2002). From factors to actors: computational sociology and agent-based modeling. Annual Review of Sociology 28.
Manzo, G. (2004a). Verso una teoria delle diseguaglianze di opportunità educative. Studi di Sociologia 42(1).
Manzo, G. (2004b). Appunti sulla simulazione al computer. Un metodo attraente per la ricerca sociologica. In: C. Corposanto (dir.), Metodologie non-intrusive nelle science sociali, Franco Angeli, Milano, chap. 9.
Manzo, G. (2005). Variables, mécanismes et simulations. Une combinaison des trois méthodes est-elle possible? Une analyse critique de la littérature. Revue Française de Sociologie 46(1).
Massot, A. (2000). Analyse des processus décisionnels de la scolarisation. In: R. Boudon, C. -H. Cuin and A. Massot (eds.), L’axiomatique de l’inégalité des chances, L’Harmattan, Presse de l’université de Laval.
Mare, R. (1980). Social background and school continuation decisions. Journal of the American Statistical Association 75.
Mare, R. (1981). Change and stability in educational stratification. American Sociological Review 46.
C.W. Mills (1959) The Sociological Imagination Oxford University Press New York
Moretti, S. (2000). Teorie sociologiche e modelli computazionali. Problemi metodologici nella definizione di un sistema di simulazione nelle science sociali. Sociologia e ricerca sociale 63.
Moretti, S. (2002). Computer simulation in sociology: what contribution? Social Sciences Computer Review 20(1).
Merllié, D. (1985). Analyse de l’interaction entre variables. Problème statistique ou sociologique. Revue Française de Sociologie XXVI.
R.K. Merton (1967) On the sociological theories of the middle range R. K. Merton (Eds) On Theoretical Sociology. Five Essays, Old and New The free press London
Muller, W. and Karle, W. (1993). Social selection in educational systems in Europe. European Sociological Review 9.
Nash, R. (2003). Inequality/difference in education: is a real explanation of primary and secondary effects possible? British Journal of Sociology 54(4).
R. Pawson (1989) A Measure for Measure: A Manifesto for Empirical Sociology Routledge London
Pisati, M. (1997). Mobility regimes and generative mechanisms: a comparative analysis of Italy and the United States. European Sociological Review 13(2).
M. Pisati (2000) La Mobilià Sociale Il Mulino Bologna
M. Pisati (2004) The Italian Mobility Regim: 1985–97 R. Breen (Eds) Social Mobility in Europe Oxford University Press 2004 Oxford
Pontinen, S. (1982). Models and social mobility research: a comparison of some log-linear models of a social mobility matrix. Quality and Quantity 16.
D. A. Powers Y. Xie (2000) Statistical Methods for Categorical Data Analysis Academic Press San Diego
Prévot, J. (1985). A propos d’indices et de comparaisons de proportions. Revue Française de Sociologie XXVI.
Raftery, A. E. (1986a). Choosing models for cross-classifications. American Sociological Review 51.
Raftery, A. E. (1986b). A note on bayes factors for log-linear contingency table models with vague prior information. Journal of the Royal Statistical Society, Serie B 48.
Raftery, A. E. (2001). Statistics in sociology, 1950–2000: A selective review. Sociological Methodology 2001.
C.C. Ragin (1987) The Comparative Method. Moving Beyond Qualitative and Quantitative Strategies University of California Press Berkeley
Sawyer, R. K. (2003). Artificial societies. Multiagent systems and the micro-macro link in sociological theory. Sociological Methods and Research 31(3).
Schizzerotto, A. (1997). Perché in Italia ci sono pochi diplomati e pochi laureati? Vincoli strutturali e decisioni razionali degli attori come cause della contenuta espansione della scolarità superiore. Polis 11(3).
Y. Shavit H.-P. Blossfeld (1993) Persistent Inequality: Changes Educational Attainment in Thirteen Countries Westwiew Press Boulder
Smith, H. L. and Garnier, M. A. (1986). Association between background and educational attainment in France. Sociological Methods and Research 14.
A. Sorensen (1998) Theoretical mechanisms and the empirical study of social processes P. Hedstrom R. Swedberg (Eds) Social Mechanisms An Analytical Approach to Social Theory. Cambridge University Press Cambridge
Stier, H. and Grusky D. B. (1990). An overlapping persistence model of career mobility. American Sociological Review 55.
Stinchcombe, A. L. (1991). The condition of fruitfulness of theorizing about mechanism in social science. Philosophy of the Social Sciences 21(3).
Thélot, C. and Vallet, L. -A. (2000). La réduction des inégalités sociales devant l’école depuis le début du siècle. Economie et Statistique 4.
Vallet, L. -A. (1988). L’inégalité des chances: un modèle d’évolution. Revue Française de Sociologie XXIX 3.
Vallet, L. -A. (1999). Quarante années de mobilité sociale en France. L’évolution de la fluidité sociale à la lumière de modèles récents. Revue Française de Sociologie 40(1).
Vallet, L. -A. (2001a). State of the art and current issues in comparative educational stratification research. communication, ISA research committee 28, Mannheim, April.
Vallet, L. -A. (2001b). Stratification et mobilité sociale: la place des femmes. In: J. Laufer, C. Marry and M. Maruani (eds), Masculin – Féminin: questions pour les sciences de l’homme. Paris, PUF, chap. 4.
Vallet, L. -A. (2004a). The dynamics of educational opportunity in France. Change in the association between social background and education in thirteen five-year cohorts (1908–1972). communication, ISA research committee 28, Neuchâtel, May.
L.-A. Vallet (2004b) Change in intergenerational class mobility in France from the 1970s to the 1990s and its explanation: an analysis following the Casmin approach R. Breen (Eds) Social Mobility in Europe Oxford University Press 2004 Oxford
Vallet, L. -A. (2004c). Modélisation log-linéaire et log-multiplicative des tableaux de contingence – Examples et listing sous LEM. Point-Recherche CREST 20.
A. Berg ParticleVan den (1998) Is sociological theory too grand for social mechanisms? P. Hedstrom R. Swedberg (Eds) Social Mechanisms. An Analytical Approach to Social Theory Cambridge University Press Cambridge
J. K. Vermunt (1996) Log-linear Event History Analysis : A General Approach with Missing Data, Unobserved Heterogeneity and Latent Variables Tillburg University press Tillburg
Vermunt J. K. (1997). Lem: A General Program for the Analysis of Categorical Data. Tilburg University (accessible sur le web).
Wong, R. S.-K. (1990). Understanding cross-national variation in occupational mobility. American Sociological Review 55.
Wong, R. S. -K. (1994). Model selection strategies and the use of association models to detect group differences. Sociological Methods and Research 22(4).
Wong, R. S. -K. (2003a). Introduction to Log-linear Modeling. University of California-Santa Barbara (accessible sur le web).
Wong, R. S. -K. (2003b). How sample size and strength of association affect the ability to detect group differences in cross-classification analysis. communication, ISA research committee 28, Tokyo, March.
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Manzo, G. “Generative Mechanisms and Multivariate Statistical Analysis: Modeling Educational Opportunity Inequality with a Multi-Matrix Log-Linear Topological Model: Contributions and Limitations”. Qual Quant 40, 721–758 (2006). https://doi.org/10.1007/s11135-005-3963-3
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DOI: https://doi.org/10.1007/s11135-005-3963-3