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National Accounts, Economic Statistics
Peter Rørmose Jensen
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Multiplier Tables

The multiplier tables are based on already published data from Statistics Denmark, so the primary contribution that comes from these statistics is the statistical treatment of the basic material, which is done as a service for the users. Treatment is most easily done with software dedicated to the task and consists in working with data in matrix format and the use of certain matrix formulas picked up from the literature. One of the most important elements of the calculations is the compilation of the inverted matrix of inputs into the production - the so-called Leontief inverse matrix.

Source data

The source of this statistics is entirely the Input-output tables for Denmark. A description of these sources can be found in

input-output tables

Frequency of data collection

The statistics is based on other published statistics.

Data collection

The statistics is based on other published statistics.

This statistics is published simultaneous with its source data, so the data collection is in the form of an internal delivery in Statistics Denmark

Data validation

The statistics are based on other statistics published by Statistics Denmark. Therefore the first quality control is more concerned with securing that the source data are represented correctly than with the quality of the data themselves. The method as well as the actual compilation of the tables potentially can lead to errors. Going through the results it is made sure that the multipliers has a sensible size and that they develop over time in a plausible way.

Data compilation

The collection of data for the statistics consists solely of a draw on internal sources in Statistics Denmark. Input-output data in raw form is stored in GAUSS files. The software that creates the multiplier tables is also coded in GAUSS, so no conversion or formatting of data is required for the calculations.

The GAUSS program handles data in matrix format, and based on the methods and formulas set forth in the international input-output literature, represented by the most well-known textbook in the field of Miller, R. & Blair, P. (2009). Input-Output Analysis: Foundations and Extensions. Cambridge: Cambridge University Press. doi: 10.1017 / CBO9780511626982, the multipliers described previously are calculated. In Miller & Blair (2009), there is an overview of the formulas used to calculate the multipliers on page 258.

The results of the calculations are written directly from the GAUSS program to SDF files which are flat txt files used to load data into Statistics Denmark's internal database SUMDATABASEN, from which they are read into StatBank, at the date that is pre-announced in the publication calendar. As a rule, this will be the same date as the final national accounts and the input-output tables are published.


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