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Citation metrics are the best tools for research assessments. However,current metrics may be misleading in research systems that pursuesimultaneously different goals, such as the advance of science and incrementalinnovations, because their publications have different citation distributions.We estimate the contribution to the progress of knowledge by studying only alimited number of the most cited papers, which are dominated by publicationspursuing this progress. To field-normalize the metrics, we substitute thenumber of citations by the rank position of papers from one country in theglobal list of papers. Using synthetic series of lognormally distributednumbers, we developed the Rk-index, which is calculated from the global ranksof the 10 highest numbers in each series, and demonstrate its equivalence tothe number of papers in top percentiles, P_top0.1% and P_top0.01% . In realcases, the Rk-index is simple and easy to calculate, and evaluates thecontribution to the progress of knowledge better than less stringent metrics.Although further research is needed, rank analysis of the most cited papers isa promising approach for research evaluation. It is also demonstrated that, forthis purpose, domestic and collaborative papers should be studiedindependently.

Rank analysis of most cited publications, a new approach for research assessments