The relative standard deviation of win percentages, widely used to measure competitive balance, has an upper bound which varies with the numbers of teams and games played. Accounting for this upper bound provides additional insights into competitive balance comparisons.

Diewert and Fox (2013) proposed decompositions of a Malmquist-type productivity index into explanatory factors, with a focus on extracting technical progress, technical efficiency change and returns to scale components. A major problem with their decompositions is that it may be difficult to...

Chaining is used in index number construction to update weights and link new items into an index. However, chained indexes can suffer from, sometimes substantial, drift. The Consumer Price Index Manual (ILO, 2004) recommends the use of dissimilarity indexes to determine when chaining is...