Latent Surface Models for Networks Using Aggregated Relational Data

REFERENCES

• Barber, J.J., Gelfand, A.E. (2007), Hierarchical Spatial Modeling for Estimation of Population Size, Environmental and Ecological Statistics, 14, 193–205.
   Web of Science ®Google Scholar
• Braun, M., Bonfrer, A. (2011), Scalable Inference of Customer Similarities From Interactions Data Using Dirichlet Processes, Marketing Science, 30, 513–531.
   Web of Science ®Google Scholar
• Dhillon, I. S., and Sra, S. (2003), “Modeling Data Using Directional Distributions,” Technical Report, Technical Report TR-03-06, Department of Computer Sciences, The University of Texas at Austin.
   Google Scholar
• DiPrete, T.A., Gelman, A., McCormick, T., Teitler, J., Zheng, T. (2011), Segregation in Social Networks Based on Acquaintanceship and Trust, The American Journal of Sociology, 116, 1234–1283.
   PubMed Web of Science ®Google Scholar
• Doret-Bernadet, J.-l., Wicker, N. (2007), Model-Based Clustering on the Unit Sphere With an Illustration Using Gene Expression Profiles, Biostatistics, 9, 66–80.
   PubMed Web of Science ®Google Scholar
• Gelman, A., Carlin, J. B., Stern, H. S., and Rubin, D. B. (2003), Bayesian Data Analysis ( 2nd ed.), Boca Raton, FL: Chapman & Hall/CRC.
   Google Scholar
• Gormley, C., Murphy, T. (2010), A Mixture of Experts Latent Position Cluster Model for Social Network Data, Statistical Methodology, 7, 385–405.
   Google Scholar
• Guttorp, P., Lockhart, R.A. (1988), Finding the Location of a Signal: A Bayesian Analysis, Journal of the American Statistical Association, 83, 322–330.
   Web of Science ®Google Scholar
• Handcock, M., Raftery, A. E., and Tantrum, J. M. (2007), Model-Based Clustering for Social Networks,” Journal of the Royal Statistical Society, Series A, 170, 301–354.
   Google Scholar
• Heckathorn, D.D. (1997), Respondent-Driven Sampling: A New Approach to the Study of Hidden Populations, Social Problems, 44, 174–199.
   Web of Science ®Google Scholar
• Hoff, P. (2009), Simulation of the Matrix Bingham–von Mises–Fisher Distribution, With Applications to Multivariate and Relational Data, Journal of Computational and Graphical Statistics, 18, 438–456.
   Web of Science ®Google Scholar
• Hoff, P. (2005), Bilinear Mixed-Effects Models for Dyadic Data, Journal of the American Statistical Association, 100, 286–295.
   Web of Science ®Google Scholar
• Hoff, P.D., Raftery, A.E., Handcock, M.S. (2002), Latent Space Approaches to Social Network Analysis, Journal of the American Statistical Association, 97, 1090–1098.
   Web of Science ®Google Scholar
• Hornik, K., Grün, B. (2013), On Conjugate Families and Jeffreys Priors for Von Mises-Fisher Distributions, Journal of Statistical Planning and Inference, 143, 992–999.
   PubMed Web of Science ®Google Scholar
• Killworth, P.D., Johnsen, E.C., Bernard, H.R., Shelley, G.A., McCarty, C. (1990), Estimating the Size of Personal Networks, Social Networks, 12, 289–312.
   Web of Science ®Google Scholar
• Klovdahl, A.S., Potterat, J., Woodhouse, D.E., Muth, J.B., Muth, S.Q., Darrow, W. (1994), Social Networks and Infectious Disease: The Colorado Springs Study, Social Science and Medicine, 38, 79–88.
   PubMed Web of Science ®Google Scholar
• Lenk, P. (2009), Simulation Pseudo-Bias Correction to the Harmonic Mean Estimator of Integrated Likelihoods, Journal of Computational and Graphical Statistics, 18, 941–960.
   Web of Science ®Google Scholar
• Mardia, K. V. (1972), Statistics of Directional Data (1st ed.), Probability and Mathematical Statistics, London: Academic Press.
   Google Scholar
• Mardia, K.V., El-Atoum, S. A.M. (1976), Bayesian Inference for the von Mises-Fisher Distribution, Biometrika, 63, 203–206.
   Web of Science ®Google Scholar
• Mardia, K. V., and Jupp, P. E. (2000), Directional Statistics (1st ed.), Wiley Series in Probability and Statistics, Chichester, UK: Wiley.
   Google Scholar
• McCarty, C., Killworth, P.D., Bernard, H.R., Johnsen, E.C., Shelley, G.A. (2001), Comparing Two Methods for Estimating Network Size, Human Organization, 60, 28–39.
   Web of Science ®Google Scholar
• McCormick, T.H., Salganik, M.J., Zheng, T. (2010), How Many People do You Know?: Efficiently Estimating Personal Network Size, Journal of the American Statistical Association, 105, 59–70.
   PubMed Web of Science ®Google Scholar
• McCormick, T. H., and Zheng, T. (2007), Adjusting for Recall Bias in “How many X’s do You Know?” surveys. In Proceedings of the Joint Statistical Meetings.
   Google Scholar
• McCormick, T. H., and Zheng, T. (2012), Latent Demographic Profile Estimation in Hard-to-Reach Groups, The Annals of Applied Statistics, 6, 1795–1813.
   PubMed Web of Science ®Google Scholar
• McPherson, M., Smith-Lovin, L., Cook, J.M. (2001), Birds of a Feather: Homophily in Social Networks, Annual Review of Sociology, 27, 415–444.
   Web of Science ®Google Scholar
• Mooney, J.A., Helms, P.J., Jolliffe, I.T. (2003), Fitting Mixtures of von Mises Distributions: A Case Study Involving Sudden Infant Death Syndrome, Computational Statistics & Data Analysis, 41, 505–513.
   Web of Science ®Google Scholar
• Morris, M. (1993), Epidemiology and Social Networks: Modeling Structured Diffusion, Sociological Methods and Research, 22, 99–126.
   Web of Science ®Google Scholar
• Morris, M. (2004), “Network Dynamism: History and Lessons of the Colorado Springs Study,” in Network Epidemiology: A Handbook for Survey Design and Data Collection, ed. M. Morris, Oxford: Oxford University Press, pp. 87–114.
   Google Scholar
• Rothenberg, R., Woodhouse, D., Potterat, J., Muth, S., Darrow, W., and Klovdahl, A. (1995), “Social Networks in Disease Transmission: the Colorado Springs Study,” in Social Networks, Drug Abuse, and HIV Transmission (vol. 151), eds. R. H. Needle, S. Coyle, S. Genser, and R. Trotter, Bethesda, MD: National Institute on Drug Abuse, pp. 3–19.
   Google Scholar
• Salganik, M.J., Mello, M.B., Adbo, A.H., Bertoni, N., Fatzio, D., Bastos, F.I. (2011), The Game of Contacts: Estimating the Social Visibility of Groups, Social Networks, 33, 70–78.
   PubMed Web of Science ®Google Scholar
• Shelley, G., Bernard, H., Killworth, P., Johnsen, E., McCarty, C. (1995), Who Knows You HIV Status? What HIV+ Patients and Their Network Members Know About Each Other, Social Networks, 17, 189–217.
   Web of Science ®Google Scholar
• Smyth, G. K. (1998), “Polynomial Approximation,” in Encyclopedia of Biostatistics, eds. P. Armitage and T. Colton, New York: Wiley.
   Google Scholar
• UNAIDS (2003), Estimating the Size of Popualtions at Risk for HIV, Number 03.36E in Issues and Methodology. Geneva: UNAIDS.
   Google Scholar
• USDHHS (2013), National Survey of Adoptive Parents, Washington, DC: Department of Health and Human Services.
   Google Scholar
• Wood, A. T.A. (1994), Simulation of the Von Mises Fisher Distribution, Communications in Statistics—Simulation and Computation, 23, 157–164.
   Web of Science ®Google Scholar
• Woodhouse, D., Rothenberg, R., Potterat, J., Darrow, W., Muth, S., Klovdahl, A., Zimmerman, H., Rogers, H., Maldonado, T., Muth, J. B., et al. (1994), Mapping a Social Network of Heterosexuals at High Risk for HIV Infection, AIDS, 8, 1331–1336.
   PubMed Web of Science ®Google Scholar
• Zheng, T., Salganik, M.J., Gelman, A. (2006), How Many People Do You Know in Prison?: Using Overdispersion in Count Data to Estimate Social Structure, Journal of the American Statistical Association, 101, 409–423.
   Web of Science ®Google Scholar