ADVANCED DATA ANALYSIS I - University of Toronto

ADVANCED DATA ANALYSIS I
SOC 6708
Fall 2009
Professor David Brownfield
This course will focus on the application of categorical data analysis techniques. Among
the topics to be covered will be partitioning of polytomous variables, scaling techniques for
ordered polytomies, and weighted regression techniques. Latent variable methods including the
Rasch model and latent structure analysis will be presented. Special models including uniform
association and row and column effects will also be considered. We will analyze incomplete
tables with a discussion of quasi-independence and mobility ratios. Finally, we will consider
some nonrecursive and missing data methods. Comparisons with hierarchical linear models will
be discussed.
The course grade will be based on a set of short assignments (approximately three or
four) that will each be about 4-5 pages in length (with brief descriptions of samples analyzed and
interpretation of results and models assessed, summarized in two or three tables) (90%), and
class participation (10%).
Reading List (other readings to be added)
Weeks 1-2 David Knoke and Peter Burke, 1980. Log-Linear Models.
Raftery, A. 1986. “Choosing models for cross-classifications.” American Sociological
Review 51:145-146.
Raftery, A. 1995. “Bayesian model selection in social research.” Sociological
Methodology, ed. P. Marsden. Oxford: Blackwell.
Crowder, K. and S. South. 2005. “Race, Class, and Changing Patterns of Migration between
Poor and Nonpoor Neighborhoods.” American Journal of Sociology 110:1715-1763.
Siennick, Sonja and Jeremy Staff. 2008. “Explaining the Educational Deficits of Delinquent
Youths.” Criminology 46: 609-635.
Messner, S., R. Bollen, and Matthew Zeuenbergen. 2005. “The Legacy of Lynching and
Southern Homicide.” American Sociological Review 70:633-655.
Crowder, K., S. South, and E. Chavez. 2006. “Wealth, Race, and Inter-Neighborhood
Migration.” American Sociological Review 71:72-94.
Sullins, D. Paul. 2006. “Gender and Religion: Deconstructing Universality, Constructing
Complexity.” American Journal of Sociology 112:838-880.

Week 3:
Duncan, O.D. 1975. “Partitioning polytomous variables in multiway contingency
analysis.” Social Science Research 4:167-182.
Duncan, O.D. and J. McRae, Jr. 1978. “Multiway contingency analysis with a scaled response
or factor.” Sociological Methodology, ed. K. Schuessler. San Francisco: Jossey-Bass.
Gerber, Theodore. 2006. “Getting Paid: Wage Arrears and Stratification in Russia.”
American Journal of Sociology 111:1816-1870.
Xie, Min and David McDowall. 2008. “Escaping Crime: The Effects of Direct and Indirect
Victimization on Moving.” Criminology 46:809-840.
Week 4:
Gerber, Theodore and Michael Hout. 2004. “Tightening Up: Declining Class Mobility during
Russia’s Market Transition.” American Sociological Review 69:677-694.
Faust, K. And S. Wasserman. 1993. “Correlation and association models for studying
measurements on ordinal relations.” Sociological Methodology, ed. P. Marsden. Oxford:
Blackwell.
Goodman, L. 1979. “Simple models for the analysis of association in cross-classifications
having ordered categories.” Journal of the American Statistical Association 74:537-552.
Duncan, O.D. 1979. “How destination depends on origin in the mobility table.” American
Journal of Sociology 84:793-804.
Hout, M. 1982. “Using uniform association models.” Pp. 115-128 in J. Hagan, ed.,
Quantitative Criminology. Beverly Hills: Sage.
Goodman, L. 1969. “How to ransack mobility tables and other cross-classifications
having ordered rows and columns.” American Journal of Sociology 75:1-35.
Hauser, R. 1987. “Reply to Kim.” Social Forces 65: 806-815.
Weeks 5-6:
Vermunt, Jeroen. 2003. “Multilevel Latent Class Models.” Sociological Methodology, ed.
Ross Stolzenberg. New York: ASA.
Yamaguchi, K. 2000. “Multinomial logit latent-class regression models.” American Journal
of Sociology 105:1702-1740.
Anderson, C. and J. Vermunt. 2000. “Log-Multiplicative association models as latent
variable models for nominal and/or ordinal data.” Sociological Methodology, ed. M. Becker
and M. Sobel. Oxford: Blackwell.

Wright, E.O. and D. Cho. 1992. “The relative permeability of class boundaries to
cross-class friendships.” American Sociological Review 57:85-102.
Western, M. and E.O. Wright. 1994. “The permeability of class boundaries to
intergenerational mobility among men in the United States, Canada, Norway, and
Sweden.” American Sociological Review 59:606-629.
Roncek, D. 1991. “Using logit coefficients to obtain the effects of independent
variables on changes in probabilities.” Social Forces 70:509-518.
DeMaris, A. 1993. “Odds versus probabilities in logit equations.” Social Forces
057-1065.
Nagin, D. and G Pogarsky. 2003. “An experimental investigation of deterrence.”
Criminology 41:167-194.
Allison, P. 2001. “Multiple imputation for missing data.” Sociological Methods and
Research 28:301-309.
Messner, S., G. Deane, and M. Beaulieu. 2002. “A Log-multiplicative association model
For allocating homicides with unknown victim-offender relationships.”
Criminology 40:457-480.
Week 7:
Clogg, C. 1982. “Using association models in sociological research.” American Journal of
Sociology 88:114-134.
Weeks 8-10
Clogg, C. and L. Goodman. 1985. “Simultaneous latent structure analysis in several groups.”
Sociological Methodology, ed. N. Tuma. San Francisco: Jossey-Bass.
Clogg, C. and L. Goodman. 1986. “On scaling models applied to data from several groups.”
Psychometrika 51:123-135.
Goodman, Leo. 2007. “On the Assignment of Individuals to Latent Classes.”
Sociological Methodology, ed.Yu Xie. New York: ASA.
Brownfield, D. and A. Sorenson. 1987. “A latent structure analysis of delinquency.”
Journal of Quantitative Criminology 3:103-124.
Sorenson, A. and D. Brownfield. 1989. “Patterns of adolescent drug use: inferences
from latent structure analysis.” Social Science Research 18:271-290.

Birkelund, G., L. Goodman, and D. Rose. 1996. “The latent structure of job characteristics
of men and women.” American Journal of Sociology 102:80-113.
McCutcheon, A. 1996. “Multiple group association models with latent variables: An
analysis of secular trends in abortion attitudes, 1972-1988.” Sociological Methodology,
ed. A. Raftery. Oxford: Blackwell.
Reiser, M. 1989. “An application of the item-response model to psychiatric
epidemiology.” Sociological Methods and Research 18:66-103.
Stevens, Gonneke, Trees Pels, Wilma Vollebergh, and Alfons Crijnen. 2004. “Patterns of
Psychological Acculturation in Adult and Adolescent Morroccan Immigrants Living in the
Netherlands.” Journal of Cross-Cultural Psychology 35:869-704.
Mare, R. 1994. “Discrete-Time bivariate hazards with unobserved heterogeneity:
A partially observed contingency table approach.” Sociological Methodology, ed.
P. Marsden. Oxford: Blackwell.
Hout, M. and J. Goldstein. 1994. “Demographic and subjective aspects of the ethnic
composition of white Americans.” American Sociological Review 59:64-82.
Arminger, G., C. Clogg, and T. Cheng. 2000. “Multivariate binary response variables using
Rasch-type and finite-mixture methods.” Sociological Methodology, ed. M. Becker and
M. Sobel. Oxford: Blackwell.
Weeks 11-12:
Duncan, O.D. 1985. “Measurement and structure: Strategies for design and analysis of
subjective survey data.” “Pp. 179-230 in Surveying Subjective Phenomena, Vol 1, ed.
C. Turner and E. Martin. New York: Russell Sage.
Duncan, O.D. 1985. “Rasch measurement: Further examples and discussion.”
Pp. 367-403 in Surveying Subjective Phenomena, Vol 2, ed. C. Turner and E. Martin.
New York: Russell Sage.
Hout, M. and A. Greeley. 1987. “The center doesn’t hold: Church attendance in the
United States, 1940-1984.” American Sociological Review 52:325-345.
Reiser, M. and K. Schuessler. 1991. “A hierarchy for some latent structure models.”
Sociological Methods and Research 19:419-465.
Agresti, A. J. Booth, J. Hobert, and B. Caffo. 2000. “Random-effects modeling of
categorical response data.” Sociological Methodology, ed. M. Becker and M. Sobel.
Oxford: Blackwell.

Winship, C. And R. Mare. 1989. “Loglinear models for missing data: A latent class
approach.” Sociological Methodology, ed. C. Clogg. Oxford: Blackwell.
Mare, R. and C. Winship. 1991. “Loglinear models for reciprocal and other simultaneous
effects.” Sociological Methodology, ed. P. Marsden. Oxford: Blackwell.
Weakliem, D. 1992. “Comparing non-nested models for contingency tables.”
Sociological Methodology, ed. P. Marsden. Oxford: Blackwell.
Bergeman, Cindy and Steven Boker. 2006. Methodological Issues in Aging Research
London: Erlbaum.
Raudenbush, Stephen, Christopher Johnson, and Robert Sampson. 2003. “A Multivariate,
Multilevel Rasch Model with Application to Self-Reported Criminal Behavior.”
Sociological Methodology, ed. Ross Stolzenberg. New York: ASA.
Edgell, Penny, Joseph Gersteis, and Douglas Hartmann. 2006. “Atheists as
‘Other’.” American Sociological Review 71:211-234.
Hagan, J., C. Shedd, and M. Payne. 2005. “Race, Ethnicity, and Youth Perceptions of Criminal
Injustice.” American Sociological Review 70:381-407.
Students are encouraged to consult:
Xie, Y. and D. Powers. 2000. Categorical Data Analysis. London:
Academic Press.
Raudenbush, S. and A. Bryk. 2002. Hierarchical Linear Models. Thousand Oaks, Ca:
Sage.
Bishop, Y., S. Feinberg, and P. Holland. 1975. Discrete Multivariate Analysis.
Cambridge: MIT Press.
Haberman, S. 1979. Analysis of Qualitative Data, Vol 2. New York:
Academic Press.
Duncan, O.D. 1984. Notes on Social Measurement. New York: Russell Sage.
McCutcheon, A. 1987. Latent Class Analysis. Newbury Park: Sage.
Hagenaars, J. 1990. Categorical Longitudinal Data. Newbury Park: Sage