LOGIT MODELS AND LOGISTIC REGRESSIONS FOR SOCIAL NETWORKS: I. AN INTRODUCTION TO MARKOV GRAPHS AND p* STANLEY WASSERMAN UNIVERSITY OF ILLINOIS

Spanning nearly sixty years of research, statistical network analysis has passed through (at least) two generations of researchers and models. Beginning in the late 1930’s, the first generation of research dealt with the distribution of various network statistics, under a variety of null models. The second generation, beginning in the 1970’s and continuing into the 1980’s, concerned models, usually for probabilities of relational ties among very small subsets of actors, in which’ various simple substantive tendencies were parameterized. Much of this research, most of which utilized log linear models, first appeared in applied statistics publications.

[1]  Samuel Leinhardt,et al.  The structural implications of measurement error in sociometry , 1973 .

[2]  J. Besag Spatial Interaction and the Statistical Analysis of Lattice Systems , 1974 .

[3]  P. Holland,et al.  The Statistical Analysis of Local Structure in Social Networks , 1974 .

[4]  Samuel Leinhardt,et al.  An Omnibus Test for Social Structure Using Triads , 1978 .

[5]  Terence P. Speed Relations between Models for Spatial Data, Contingency Tables and Markov Fields on Graphs , 1978 .

[6]  Stephen E. Fienberg,et al.  The analysis of cross-classified categorical data , 1980 .

[7]  S. Wasserman Models for binary directed graphs and their applications , 1978, Advances in Applied Probability.

[8]  J. Snell,et al.  On the relation between Markov random fields and social networks , 1980 .

[9]  P. Holland,et al.  An Exponential Family of Probability Distributions for Directed Graphs , 1981 .

[10]  S. Fienberg,et al.  Categorical Data Analysis of Single Sociometric Relations , 1981 .

[11]  Karl P. Reitz Using log linear analysis with network data: another look at sampson's monastery , 1982 .

[12]  Stanley Wasserman,et al.  Some generalizations of p1: External constraints, interactions and non-binary relations , 1984 .

[13]  Eugene C. Johnsen,et al.  Network macrostructure models for the Davis-Leinhardt set of empirical sociomatrices , 1985 .

[14]  David Strauss On a general class of models for interaction , 1986 .

[15]  S Wasserman,et al.  Statistical analysis of discrete relational data. , 1986, The British journal of mathematical and statistical psychology.

[16]  E. Johnsen Structure and process: agreement models for friendship formation , 1986 .

[17]  S. Wasserman Conformity of two sociometric relations , 1987 .

[18]  Yuchung J. Wang,et al.  Stochastic Blockmodels for Directed Graphs , 1987 .

[19]  D. J. Strauss,et al.  Pseudolikelihood Estimation for Social Networks , 1990 .

[20]  Dawn Iacobucci,et al.  Social networks with two sets of actors , 1990 .

[21]  T. Snijders Enumeration and simulation methods for 0–1 matrices with given marginals , 1991 .

[22]  D. J. Strauss,et al.  The Many Faces of Logistic Regression , 1992 .

[23]  Michael Edwin Walker Statistical models for social support networks: Application of exponential models to undirected graphs with dyadic dependencies , 1996 .