TY - JOUR AU - Feenstra,Robert C. AU - Reinsdorf,Marshall B. TI - Should Exact Index Numbers Have Standard Errors? Theory and Application to Asian Growth JF - National Bureau of Economic Research Working Paper Series VL - No. 10197 PY - 2004 Y2 - January 2004 UR - http://www.nber.org/papers/w10197 L1 - http://www.nber.org/papers/w10197.pdf N1 - Author contact info: Robert C. Feenstra Department of Economics University of California, Davis One Shields Avenue Davis, CA 95616 Tel: 530/752-7022 Fax: 530/752-9382 E-Mail: rcfeenstra@ucdavis.edu Marshall Reinsdorf Bureau of Economic Analysis US Department of Commerce 1441 L Street, NW, Mail Stop BE-40 Washington, DC 20230 Tel: 202/606-9665 Fax: 202/606-5313 E-Mail: marshall.reinsdorf@bea.gov M1 - published as Robert C. Feenstra, Marshall B. Reinsdorf. "Should Exact Index Numbers Have Standard Errors? Theory and Application to Asian Growth," in Ernst R. Berndt and Charles R. Hulten, editors, "Hard-to-Measure Goods and Services: Essays in Honor of Zvi Griliches" University of Chicago Press (2007) AB - In this paper we derive the standard error of a price index when both prices and tastes or technology are treated as stochastic. Changing tastes or technology are a reason for the weights in the price index to be treated as stochastic, which can interact with the stochastic prices themselves. We derive results for the constant elasticity of substitution expenditure function (with Sato-Vartia price index), and also the translog function (with T””rnqvist price index), which proves to be more general and easier to implement. In our application to Asian growth, we construct standard errors on the total factor productivity (TFP) estimates of Hsieh (2002) for Singapore. We find that TFP growth is insignificantly different from zero in any year, but cumulative TFP over fifteen years is indeed positive. ER -