An analysis of Bradford multipliers and a model to explain law of scattering

In his book on “Documentation”, Bradford derived the law of scattering, based on algebric explanation with the supposition that n1=n2=n. n1 and n2 are computed based on average no. of articles per journals in the first three zones. An analysis of a small sample of 12 data sets, using t-test suggests that it is unlikely that n1=n2. Further an attempt has been made to identify a suitable model to explain the law of scattering; among the various models tried, log-normal fits much better than many models including the log-linear model.

[1]  Lothar Sachs A Guide to Statistical Methods and to the Pertinent Literature / Literatur zur Angewandten Statistik , 1986 .

[2]  Robert A. Fairthorne,et al.  Empirical hyperbolic distributions (Bradford-Zipf-Mandelbrot) for bibliometric description and prediction , 1969, J. Documentation.

[3]  Ole V. Groos Bradford's law and the keenan-atherton data , 1967 .

[4]  V. Newill,et al.  Schistosomiasis : a bibliography of the world's literature from 1852 to 1962 , 1967 .

[5]  John Budd A citation study of American literature: implications for collection management , 1986 .

[6]  Elizabeth A. Wilkinson THE AMBIGUITY OF BRADFORD'S LAW , 1972 .

[7]  W. Goffman,et al.  Dispersion of Papers among Journals based on a Mathematical Analysis of Two Diverse Medical Literatures , 1969, Nature.

[8]  Kevin L. Cook Laws of scattering applied to popular music , 1989, JASIS.

[9]  Yu. S. Lipatov,et al.  On the behaviour of information flows in multicomponent polymer systems research , 2005, Scientometrics.

[10]  Quentin L. Burrell,et al.  Modelling the Bradford phenomenon , 1988, J. Documentation.

[11]  H. Simon,et al.  ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS , 1955 .

[12]  Aparna Basu Hierarchical Distributions and Bradford's Law , 1992, J. Am. Soc. Inf. Sci..

[13]  Brian Vickery,et al.  BRADFORD'S LAW OF SCATTERING , 1948 .

[14]  I. K. R. Rao Journal productivity in economics , 1990 .

[15]  Ferdinand F. Leimkuhler,et al.  THE BRADFORD DISTRIBUTION , 1967 .

[16]  S. M. Lawani Periodical Literature of Tropical and Subtropical Agriculture. , 1972 .

[17]  Robert A. Fairthorne Empirical hyperbolic distributions (Bradford-Zipf-Mandelbrot) for bibliometric description and prediction , 1969 .

[18]  S. Bradford "Sources of information on specific subjects" by S.C. Bradford , 1985 .

[19]  Andrew Pope Bradford's law and the periodical literature of information science , 1975, J. Am. Soc. Inf. Sci..

[20]  Isao Asai A general formulation of bradford's distribution: The graph-oriented approach , 1981, J. Am. Soc. Inf. Sci..

[21]  P. F. Cole THE ANALYSIS OF REFERENCE QUESTION RECORDS AS A GUIDE TO THE INFORMATION REQUIREMENTS OF SCIENTISTS , 1958 .

[22]  Karmeshu,et al.  Rationales for Bradford's law , 2005, Scientometrics.

[23]  B. C. Brookes THE DERIVATION AND APPLICATION OF THE BRADFORD‐ZIPF DISTRIBUTION , 1968 .

[24]  M. G. Kendall,et al.  The Bibliography of Operational Research , 1960 .