H‐type indices with applications in chemometrics I: h‐multiple similarity index

Abstract

The h-index was originally proposed to measure the impact of individuals' scientific output, based on their number of publications and citations. In this paper, a variant of h-index was proposed as a multiple similarity measure and its applications in chemometrics were studied. To measure the multiple similarity among a set of variables or objects, both the pairwise similarity and the coverage of high pairwise similarity across variables or objects were considered and measured with the suggested h-multiple similarity index (HMSI). HMSI was defined as: based on the pairwise similarity (between [0,1]) among all objects in a set, if at most M% of all the pairwise similarity values is no less than M%, then the HMSI value of the batch will be M%. For applications, HMSI was used in three chemometrics problems: (1) to compare the stability of marker selection results by different classification models in metabonomics;(2) to measure the batch consistency of herbal high-performance liquid chromatography (HPLC) fingerprints; and (3) to evaluate multivariate calibration models based on cross validation. The results indicate that HMSI is a simple, robust, and effective index to measure multiple similarity and useful in chemometrics applications.Academic influence is an important embodiment of the contribution of scholars, institutions or countries in science and technology. 1 How to evaluate academic influence objectively and fairly has always been one of the important research topics in the field of library and scientific informatics. [2][3][4][5] In the past years, many scholars have devoted themselves to the research of better indicators. [6][7][8] In 2005, a physicist, Professor Hirsch, proposed a new index named h-index to measure the academic influence of scholars. 7 It was defined that in a certain period of time, if the cited frequency of h academic papers published by a scholar is no less than h times and the cited frequency of all the other papers is less than or equal to h times, the h-index of the scholar is h. 7,9

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