h-based I3-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.