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Time Series Analysis by Electronic Computers: A Report on Some Recent Applications at the Dominion Bureau of Statistics*

Published online by Cambridge University Press:  07 November 2014

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Economists and statisticians are gradually amassing new knowledge of economic processes and enlarging the range of data which provide the underpinnings of their craft. Since the end of the Second World War, a number of new statistical tools have been developed for measuring the performance of the economy, and a good deal of new quantitative information on the structure and behaviour of the economic system has been collected. Among these new tools have been developments in the field of social accounting, and new and improved techniques for isolating and studying fluctuations in the business cycle. It is with the latter question that this paper is concerned-the decomposition of time series into their trend-cycle, seasonal, and residual elements. While the work in this field in Canada in the early 1950's was initially focused on measuring cyclical fluctuations in the quarterly national accounts, it has long since evolved a full-fledged life of its own, and a general programme of time series analysis has been under way at the Dominion Bureau of Statistics since 1955. The recent application of electronic computers to the problem is rapidly transforming the entire field.

The present paper has a three-fold aim: to review the rationale of time series analysis; to give an account of the background and status of the work at the Dominion Bureau of Statistics; and to provide a brief outline of the electronic computer programme now in use in this area.

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Articles
Copyright
Copyright © Canadian Political Science Association 1962

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Footnotes

*

This paper owes a heavy debt to the work and writings of Julius Shiskin, Chief Economic Statistician at the United States Bureau of the Census, under whose leadership the work on time series analysis by electronic computer methods was originally developed; to the work of the National Bureau of Economic Research, whose basic studies of the business cycle have provided economists with a methodological framework and spurred the search for faster and more efficient means of decomposing and analysing time series; and to material prepared for the sessions on seasonal adjustment held in Paris, France, in November-December, 1960, under the joint sponsorship of the Organization for European Economic Co-operation and the Conference of European Statisticians. The views expressed here are the sole responsibility of the authors, and should not be construed as necessarily reflecting the official position of the Dominion Bureau of Statistics.

The paper is a shortened version of material prepared for presentation to the June, 1961, meetings of the Canadian Political Science Association in Montreal.

References

1 Chambers, Edward J., “Canadian Business Cycles since 1919,” this Journal, XXIV, no. 2, 05, 1958, 166–89.Google Scholar Six cycles are identified between 1919 and 1955; two cycles have occurred since 1955.

2 Rosenbluth, G., “Changes in Canadian Sensitivity to United States Business Fluctuations,” this Journal, XXIII, no. 4, 11, 1957, 480503.Google Scholar

3 Moore, Geoffrey H., “Measuring Recessions,” NBER Occasional Paper 61 (New York, 1958), 260.Google Scholar

4 “Changes in Canadian Sensitivity to U.S. Business Fluctuations,” 498.

5 For an interesting discussion of the advantages of using seasonally adjusted data for this purpose, see Daly, D. J., “Seasonal Variations and Business Expectations,” Journal of Business of the University of Chicago, XXXII, no. 3, 07, 1959, 258–70.Google Scholar

6 Sponsored by the Organization for European Economic Co-operation and the Conference of European Statisticians. Proceedings will be published later in 1962 by OEEC. Hereafter cited as OEEC Papers.

7 For a discussion of other conceptual schemes, see Brabb, George J. and Bourque, Phillip J., “Concepts and Computations–Problems in Seasonal Analysis,” American Statistical Association, 1960, Proceedings of the Business and Economic Statistics Section.Google Scholar

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9 See, for example, “Some Notes on the Characteristics of Seasonal Variation in Europe,” OEEC Papers. Also, Shiskin, Julius, Electronic Computers and Business Indicators, NBER Occasional Paper 57 (New York, 1957).Google Scholar

10 See Daly, D. J., “Canadian Experience with Seasonal Adjustment,” OEEC Papers.Google Scholar

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12 Canada Year Book, 1950 (Ottawa: DBS), 675.Google Scholar

13 National Accounts, Income and Expenditure, by Quarters, 1947–1952.

14 A sample print-out of the computer programme is available from the authors on request.

15 This programme is described in detail in Shiskin's important paper, Electronic Computers and Business Indicators.

16 For a more complete description of the technique, see Seasonally Adjusted Economic Indicators, 1947–1955.

17 For a discussion of the properties of various types of moving averages, see Macaulay, F. R., The Smoothing of Time Series (New York: NBER, 1931).Google Scholar

18 For a more complete description of these measures, see Shiskin, Electronic Computers and Business Indicators.

19 See Shiskin, , “Electronic Computer Seasonal Adjustments: Tests and Revisions of U.S. Census Methods,” OEEC Papers.Google Scholar

20 Shiskin, , Electronic Computers and Business Indicators, 242.Google Scholar

21 Eliminating Seasonal Movements from Series of Monthly Data,” Department of Research and Statistics, Deutsche Bundesbank, Monthly Report, 03, 1957.Google Scholar

22 Technical Survey of Problems and Methods of Seasonal Adjustment in Europe and North America, with Special Reference to United States Census Method II,” OEEC Papers, 27.Google Scholar