Document Type
Article
Publication Date
7-1-2017
Abstract
This brief communication analyzes the statistics and methods Lotka used to derive his inverse square law of scientific productivity from the standpoint of modern theory. It finds that he violated the norms of this theory by extremely truncating his data on the right. It also proves that Lotka himself played an important role in establishing the commonly used method of identifying power-law behavior by the R2 fit to a regression line on a log-log plot that modern theory considers unreliable by basing the derivation of his law on this very method.
Publication Source (Journal or Book title)
Journal of the Association for Information Science and Technology
First Page
1786
Last Page
1791
Recommended Citation
Bensman, S., & Smolinsky, L. (2017). Lotka's inverse square law of scientific productivity: Its methods and statistics. Journal of the Association for Information Science and Technology, 68 (7), 1786-1791. https://doi.org/10.1002/asi.23785