“…Taking into account the objectives of this study, the importance of the derivation of productivity measures across firms and over time using index numbers (non-frontier approach) is twofold. First, frontier methods such as DEA or SFA require a relatively large number of observations to specify an efficient frontier, whereas an index-number approach allows meaningful comparative performance measurement even if the number of available observations is limited (Fox et al, 2003;Diewert and Lawrence, 2006;Hwand and Lee, 2013). Second and more importantly, the index-number approach is particularly applicable to comparative performance measurement under regulation, where consideration of both water companies (in productivity terminology it is known as spatial dimension) and temporal differences in TFP is necessary for setting appropriate regulated prices (Fox et al, 2003).…”