“…Then several methods emerged, in general divided into three parts including parametric methods (specifically, Stochastic Frontier Analysis, Kumbhakar, 1996), semi-parametric methods (Olley and Pakes, 1992; Levinsohn and Petrin, 2003) and non-parametric methods (specifically, Index Number Technique, Diewert, 1992) and Data Envelopment Analysis (DEA) (Raj and Mahapatra, 2009; Lindlbauer et al , 2016). In addition, prior literature provide lots of indicators which represent productivity changes commonly, including Hicks–Moorsteen index (Bjurek, 1996), MPI (Oh and Lee, 2010; Tamini et al , 2012; Ali and Klein, 2014), Luenberger productivity indicator (Molinos-Senante et al , 2014; Molinos-Senante and Sala-Garrido, 2015), Färe–Primont index (O’Donnell, 2011; Molinos-Senante et al , 2016). Although there are several developed productivity indicators to assess productivity changes (Molinos-Senante et al , 2016), in this paper, we use the MPI as the methodology to measure productivity changes over time.…”