Bayesian Integration of Large SNA Data Frameworks with an Application to Guatemala

We present a Bayesian estimation method applied to an extended set of national accounts data and estimates of approximately 2500 variables. The method is based on conventional national accounts frameworks as compiled by countries in Central America, in particular Guatemala, and on concepts that are defined in the international standards of the System of National Accounts. Identities between the variables are exactly satisfied by the estimates. The method uses ratios between the variables as Bayesian conditions, and introduces prior reliabilities of values of basic data and ratios as criteria to adjust these values in order to satisfy the conditions. The paper not only presents estimates and precisions, but also discusses alternative conditions and reliabilities, in order to test the impact of framework assumptions and carry out sensitivity analyses. These tests involve, among others, the impact on Bayesian estimates of limited annual availability of data, of very low reliabilities (close to non-availability) of price indices, of limited availability of important administrative and survey data, and also the impact of aggregation of the basic data. We introduce the concept of `tentative' estimates that are close to conventional national accounts estimates, in order to establish a close link between the Bayesian estimation approach and conventional national accounting.

[1]  B. D. McCullough,et al.  On the accuracy of statistical procedures in Microsoft Excel 2003 , 2005, Comput. Stat. Data Anal..

[2]  Graham Riley High Performance Algorithms and Software in Nonlinear Optimization , 1998 .

[3]  A. Vanoli THE NEW ARCHITECTURE OF THE U.S. NATIONAL ACCOUNTS AND ITS RELATIONSHIP TO THE SNA , 2010 .

[4]  C. D. Blois,et al.  Macro‐integration with inequality constraints: an application to the integration of transport and trade statistics , 2011 .

[5]  Marshall B. Reinsdorf Terms of Trade Effects: Theory and Measurement , 2010 .

[6]  A. F. Vos,et al.  National Accounts Estimation Using Indicator Ratios , 2000 .

[7]  S. Robinson,et al.  Reconciling Household Surveys and National Accounts Data Using a Cross Entropy Estimation Method , 2003 .

[8]  F. Bos The Art and Craft of Compiling National Accounts Statistics and Their Implications for Reliability , 2009 .

[9]  R. B.,et al.  The United Nations , 1947, Nature.

[10]  B. Craig,et al.  BAYESIAN ESTIMATION OF A DEMOGRAPHIC MATRIX MODEL FROM STAGE-FREQUENCY DATA , 2002 .

[11]  José M. Rueda-Cantuche,et al.  TESTING ASSUMPTIONS MADE IN THE CONSTRUCTION OF INPUT–OUTPUT TABLES , 2013 .

[12]  J. Stiglitz,et al.  Report by the commission on the measurement of economic performance and social progress , 2011 .

[13]  J. Nocedal,et al.  The modified absolute-value factorization norm for trust-region minimization , 1998 .

[14]  Some equivalences in linear estimation , 2007 .

[15]  Bruce D. McCullough,et al.  On the accuracy of statistical procedures in Microsoft Excel 2000 and Excel XP , 2002 .

[16]  A NEW ARCHITECTURE FOR THE U.S. NATIONAL ACCOUNTS: A REPLY TO ANDRÉ VANOLI , 2010 .

[17]  M. Kupperman Linear Statistical Inference and Its Applications 2nd Edition (C. Radhakrishna Rao) , 1975 .

[18]  Jan R. Magnus,et al.  On the estimation of a large sparse Bayesian system: The Snaer program , 2008, Comput. Stat. Data Anal..

[19]  N. L. Johnson,et al.  Linear Statistical Inference and Its Applications , 1966 .

[20]  C. Radhakrishna Rao,et al.  Unified theory of linear estimation , 1971 .

[21]  Jean-Pierre Villetelle Improving US National Accounts Integration and Consistency: A Review Article on A New Architecture for the U.S. National Accounts , 2008 .