Abstract
Modeling the number of citations from one journal to another may be done by assuming independent contributions from the referencing journal and from the cited journal. Empirical and theoretical evidence, however, indicates that self-citations are different from interjournal citations. For this reason a model is proposed that separates the analysis of selfcitations from inter-citations. In addition, a model is proposed that adjusts the expected citation counts by the journal to journal similarity. Computational procedures for fitting coefficients of the models to the observed citation pattern are described along with a statistical method for evaluating the validity of the model.
Similar content being viewed by others
References
D. J. PRICE, The analysis of scientometric matrices for policy implications,Scientometrics, 3 (1981) 47–54.
D. J. PRICE, The analysis of square matrices of scientometric transactions,Scientometrics, 3 (1981) 55–63.
E. GARFIELD (Ed.),SCI Journal Citation Reports, 13, Philadelphia, PA: Institute for Scientific information, 1977.
W. FELLER,An Introduction to Probability Theory and Its Applications, Vol. 1, Third edition. New York: John Wiley & Sons, Inc. 1968.
Y. M. BISHOP, S. E. FIENBERG, P. W. HOLLAND,Discrete Multivariate Analysis, Cambridge, Massachusetts, The MIT Press, 1975.
L. GOODMAN, The analysis of cross-classified data: Independence, quasi-independence, and interactions with or without missing entries.Journal of the American Statistical Association, 63 (1968) 1091–1131.
J. E. K. SMITH, On tests of quasi-independence in psychological research.Psychological Bulletin, 80 (1973) 329–333.
J. D. FRAME, J. J. BAUM, Cross-national information flows in basic research: Examples taken from physics,Journal of the American Society for Information Science, 29 (1978) 247–252.
H. CAUSSINUS, Contribution a l'analyse statistique des tableaux de correlation,Ann. Fac. Sci. Univ. Toulouse, 29 (1966) 77–128.
L. A. GOODMAN, A short computer program for the analysis of transaction flows,Behavioral Science, 9 (1964) 176–186.
J. M. DARROCH, D. RATCLIFF, Generalized iterative scaling for loglinear models,The Annals of Mathematical Statistics, 43 (1972) 1470–1480.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Noma, E. An improved method for analyzing square scientometric transaction matrices. Scientometrics 4, 297–316 (1982). https://doi.org/10.1007/BF02021645
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02021645