Positioning research and innovation performance using shape centroids of h-core and h-tail

Technology manager's radar screen: Monitoring competitors' innovation performance

“…According to geometry, the centroid of a planar shape divisible into a number of smaller constituent shapes can be obtained as the weighted average of these constituent shapes' centroids. Therefore, the h-core area centroid (c x , c y ) and h-tail area centroid (t x , t y ) could be obtained as follows: (4) Believing that the shapes of the h-core and h-tail areas/segments more accurately reflect assignees' h-core and h-tail performance, [15] proposed to use the h-core and h-tail area centroids obtained according to (1) to (4) as characteristic points and, by plotting these characteristic points in two-dimensional coordinate systems, these assignees' performance with respect to their h-cores and h-tails could be immediately and conveniently positioned relative to each other.…”

“…According to [15], this approach is proven empirically to be accurate and reliable. It however ignores the (N-N c ) un-cited patents and requires two separate analyses for the h-cores and h-tails, respectively.…”

“…Noticing the resemblance of the c-and t-descriptors to area centroids, [15] further suggested capturing an individual's research or innovation performance by the centroids of its h-core area [6] and h-tail area [9]. Then, a large number of individuals' research or innovation performance with respect to their h-cores and h-tails can be simultaneously positioned and conveniently observed in two-dimensional coordinate systems.…”

Comparative Study of Trace Metrics between Bibliometrics and Patentometrics

“…Although the aforementioned indicators have been widely applied in literature and bibliographic databases, they have some limitations. For example, the skewness of citation distributions is ignored in the citation counts and IF (Leydesdorff & Bornmann, 2011) and the h-index are somewhat inconsistent (Waltman & van Eck, 2012) and insensitive (Bornheim et al, 2008;Egghe, 2006;Kuan, Huang, & Chen, 2011).…”

“…Moreover, individual researchers with a dissimilar citation distribution may have the same h-index value (Bornmann et al, 2010;García-Pérez, 2009). The rank-citation curve overcomes the limitations of the h-index by representing a researcher's performance over a particular period (Kuan et al, 2011). The tapered h-index summarizes the impact of every citation in the citation curve by weighting the citations on the basis of the Durfee square (Anderson, Hankin, & Killworth, 2008).…”