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Table 4

Errors in Estimating Changes in Saving via Installment Debt with Equation (3)* with Particular Reference to Periods of Significant Short-run Change, 1953-72.

(millions of current dollars)

Year

Reported**

Estimated***

Error

Comment****

1953

$+ 507

$+1,203

$+ 702

 

1954

+3,039

+3,001

- 38

Recession

1955

- 4,775

- 4,768

+ 7

Recovery

1956

+2,524

+1,876

- 648

 

1957

+ 666

+1,503

+ 837

 

1958

+2,374

+2,289

- 85

Recession

1959

- 5,831

- 5,210

+ 621

Recovery

1960

+1,884

+ 848

- 1,036

 

1961

+2,798

+3,725

+ 927

Recession

1962

- 3,906

- 4,428

- 522

Recovery

1963

- 1,937

- 2,801

- 864

 

1964

- 440

+ 129

+ 569

 

1965

- 955

- 501

+ 494

 

1966

+2,849

+2,242

- 607

 

1967

+2,169

+1,161

-1,008

Recession (Mini)

1968

- 5,135

- 5,706

- 572

Recovery

1969

- 1,043

- 388

+ 655

 

1970

+4,401

+5,516

+1,115

Recession

1971

- 4,292

- 4,025

+ 24 7

Recovery

1972

- 6,806

- 7,398

- 592

Recovery

 

Summary

Periods

(1)
Mean Absolute Reported Change

(2)
Mean Absolute Error

   (2) %
(1)

All Years

$2,917

$607

20.8%

Recessions and Recoveries

4,139

549

13.3

Recessions

2,956

635

21.5

Recoveries

5,124

410

8.0

Other Years

1,423

712

50.0

 

* Results of using equation (6) rather than(3)are identical except for rounding errors.

** From Federal Reserve Bulletin, (various). These data are adjusted for revisions in the Bulletin, October, 1972.

*** Estimates with equations (1) or (3) with sign reversed.

**** This classification is somewhat arbitrary. The pattern is more evident in quarterly data. For results of fit of model to quarter@ data, see Burress, Sept., 1964. Further work on quarterly data is underway, 1972 has been labeled a recovery year in Bulletin, January, 1973.

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