A continuous description of discrete data points in informetrics
Yuxian Liu, Ronald Rousseau · Aslib Journal of Information Management · 2012
Purpose The paper aims to propose the use of spline functions for the description and visualization of discrete informetric data. Design/methodology/approach Interpolating cubic splines: are interpolating functions (they pass through the given data points); are cubic, i.e. are polynomials of third degree; have first and second derivatives in the data points, implying that they connect data points in a smooth way; satisfy a best‐approximation property which tends to reduce curvature. These properties are illustrated in the paper using real citation data. Findings The paper reveals that calculating splines yields a differentiable function that still captures small but real changes. It offers a middle way between connecting discrete data by line segments and providing an overall best‐fitting curve. Research limitations/implications The major disadvantage of the use of splines is that accurate data are essential. Practical implications Spline functions can be used for illustrative as well as modelling purposes. Originality/value Splines have hardly ever been used or studied in the information sciences.