AUTHOR=Zhang Menghan , Gong Tao TITLE=How Many Is Enough?—Statistical Principles for Lexicostatistics JOURNAL=Frontiers in Psychology VOLUME=7 YEAR=2016 URL=https://www.frontiersin.org/journals/psychology/articles/10.3389/fpsyg.2016.01916 DOI=10.3389/fpsyg.2016.01916 ISSN=1664-1078 ABSTRACT=

Lexicostatistics has been applied in linguistics to inform phylogenetic relations among languages. There are two important yet not well-studied parameters in this approach: the conventional size of vocabulary list to collect potentially true cognates and the minimum matching instances required to confirm a recurrent sound correspondence. Here, we derive two statistical principles from stochastic theorems to quantify these parameters. These principles validate the practice of using the Swadesh 100- and 200-word lists to indicate degree of relatedness between languages, and enable a frequency-based, dynamic threshold to detect recurrent sound correspondences. Using statistical tests, we further evaluate the generality of the Swadesh 100-word list compared to the Swadesh 200-word list and other 100-word lists sampled randomly from the Swadesh 200-word list. All these provide mathematical support for applying lexicostatistics in historical and comparative linguistics.