h-based<i>I3</i>-type multivariate vectors: multidimensional indicators of publication and citation scores

Citations and publications cannot be compared without a model. We combine the Integrated Impact Indicator (I3) and the h-index into a single framework for multivariate measurement. We propose that the h-based I3-type publication and citation vectors can be used as multi-dimensional indicators in academic evaluations. Whereas I3 is based on the transformation of the citation distribution into quantiles, the h-index allows for defining three rank classes of both publications and citations, respectively: the publication vector X and the citation vector Y. The I3-type publication score I3X and the citation score I3Y can be used as single numbers to integrate and represent the publication vector X and citation vector Y. X and Y provide multivariate vectors, and I3X and I3Y integrate the multidimensional information. X = (X1, X2, X3) and Y = (Y1, Y2, Y3) (and I3X = X1 + X2 + X3 and I3Y = Y1 + Y2 + Y3, respectively) are practically applied to process the 3-dimensional distributions of academic information using the journals in library and information science as empirical examples.