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234 Becoming Metric-Wise
Table 7.13 An illustration of the calculation of the tenth (citation-cumulated,
publication-cumulated, publication-anti-chronological time series) time series
(M 5 N 5 5)
Publication year (row) Y Y+1 Y+2 Y+3 Y+4
Citation year (column)
Y
Y+1
Y+2
Y+3
Y+4
Y Y+1 Y+2 Y+3 Y+4
Y
Y+1
Y+2
Y+3
Y+4
Y Y+1 Y+2 Y+3 Y+4
Y
Y+1
Y+2
Y+3
Y+4
Y Y+1 Y+2 Y+3 Y+4
Y
Y+1
Y+2
Y+3
Y+4
Y Y+1 Y+2 Y+3 Y+4
Y
Y+1
Y+2
Y+3
Y+4
fixed, and equal, publication and citation windows (w). This type can be
considered a cumulative, truncated case of the previous one. It is used in
the Essential Science Indicators (ESI) with w 5 5.
The tenth time series, see Table 7.13, is a citation-cumulated,
publication-cumulated, publication-anti-chronological time series. This
type was used in Liang’s backward looking approach to h-indices (Liang,
2006). In this case it seems natural to take N 5 M. Note that here the
oldest publication year differs according to the term in the series.