Numerical integration of the divisia price index and an application of the equation of measurement to prices

First the linear and the exponential paths are chosen as examples to show how the Divisia price and quantity index can be integrated numerically. Then the equation of measurement by Eichhorn and Gleissner is adapted to price measurement and used to formulate certain properties of indices. A special class of properties, the reversal tests describing certain symmetries, is considered especially, It turns out that the corresponding antitheses form a group of eight elements.