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ZHAO Xing / Exploring the measurement features of usage data for academic literature  137


               probability of user citation behavior after usage is μ, and the ratio of citation data inclusion by WoS
               is θ. Then, the relationship between the citation value,C, and the total usage count of academic
               literature, N, can be expressed as C=μ·θ·N. At a certain moment of measurement, θ is a constant
               value, and μis a user behavior parameter with approximate stability under a large sample volume.
                                                                                     c
               Combined with the conclusion of Proposition 1 (that is, U=·), we have U=δ· μ·θ  =ρ·c,
               wherein ρ is approximately a constant. The demonstration is hereby completed.
                 Proposition 2 suggests that in a large sample analysis, there is a positive correlation between the
               academic literature usage value of the WoS platform and the citation value. The higher the usage
               count, the higher is the citation count, and so, we have Inference 2-1. However, Proposition 2 also
               implies that the relationship between the literature usage and citation counts is jointly influenced
               by the probability of the user citation behavior,μ, the ratio of citation data inclusion by WoS θ, and
               the download export factor of WoS, δ. For a specific single piece of literature, there is no necessary
               correspondence between the usage and citation counts. For different disciplines and fields, as well
               as for different research topics of the same discipline or field, it is possible for the probability of
               user citation behavior,μ, and the usage factor of WoS,δ, to present significant differences, so there
               are quite a few singularities (Inference 2-2).
                 Deduction 2-1: The usage count of academic literature, the citation probability and the volume
               of the database platform jointly exert a positive influence on the citation count.
                 Deduction 2-2: When it comes to the trend relationship between usage data and citation data for
               single samples, there are quite a few singularities.
                 What should be especially pointed out is that, in bibliometrics, almost all the theoretical models
               are approximate laws, which do not necessarily have a correspondence with all actual data.
               Theoretical analysis only serves as a guiding reference or hypothesis, and empirical study alone
               provides the core paradigm of bibliometrics. Thus, in the following section, empirical discussions
               are organized from the basic perspectives of measurement feature, bibliometric distribution,
               comparison with citation, discipline case, etc.


               2  Data source and processing


               This paper selects the Web of Science platform as its data source and adopts physics, computer
               science, economics, and Library and Information Science, respectively, as the representatives of
               basic natural sciences, featured engineering sciences, basic liberal arts and featured liberal arts. The
               research articles of the four disciplines were taken as the objects of analysis. The steps of the data
               collection were: Perform data retrieval from the citation index databases of Science Citation Index
               Expanded (SCI-EXPANDED) and Social Sciences Citation Index (SSCI) under WoS, and select
               “discipline” “publication time” and “literature type” via the “abstraction” function provided by
               the WoS platform; define the publication year as “2013” and the literature type as “Article”; after
               data retrieval, download the bibliographic data in full-record format (download time of all data:
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