6202.0 - Labour Force, Australia, Dec 2010
ARCHIVED ISSUE Released at 11:30 AM (CANBERRA TIME) 13/01/2011
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STANDARD ERRORS

The estimates in this publication are based on information gained from the occupants of a sample survey of dwellings. Because the entire population is not surveyed, the published estimates are subject to sampling error. The most common way of quantifying such sampling error is to calculate the standard error for the published estimate or statistic. For more information, see paragraphs 24 to 26 of the Explanatory Notes.

LEVEL ESTIMATES

To illustrate, let us say the published level estimate for employed persons aged 15-19 years is 700,000 and the associated standard error is 8,300. The standard error is then used to interpret the level estimate of 700,000. For instance, the standard error of 8,300 indicates that:

• There are approximately two chances in three that the real value falls within the range 691,700 to 708,300 (700,000 + or - 8,300)
• There are approximately nineteen chances in twenty that the real value falls within the range 683,400 to 716,600 (700,000 + or - 16,600).

The real value in this case is the result we would obtain if we could enumerate the total population.

The following table shows the standard errors for this month's level estimates.

 AUSTRALIA NSW Vic. Qld SA WA Tas. NT ACT Males Females Persons Aged 15 years and over Employed Full time '000 20.7 21.2 15.5 6.8 9.9 2.7 4.0 2.4 27.4 19.6 33.0 Part time '000 14.6 13.2 10.2 4.9 6.9 2.1 1.2 1.6 11.1 17.6 21.6 Total '000 22.7 25.7 17.6 7.8 10.8 3.2 4.7 2.5 29.7 27.2 37.2 Unemployed Looking for f/t work '000 7.7 6.3 6.4 2.8 3.2 1.1 0.4 0.8 9.1 8.1 12.3 Looking for p/t work '000 4.9 4.6 3.8 1.7 2.0 0.7 0.2 0.5 5.0 6.0 7.9 Total '000 9.2 7.9 7.2 3.2 3.8 1.3 0.5 1.0 10.4 10.2 14.8 Labour force '000 23.0 26.3 18.0 8.0 10.9 3.3 4.8 2.5 30.3 27.9 37.8 Not in labour force '000 21.1 23.1 15.1 7.0 10.4 3.1 3.7 2.2 24.1 28.9 34.0 Unemployment rate Looking for f/t work pts 0.3 0.3 0.4 0.5 0.3 0.6 0.4 0.5 0.2 0.3 0.1 Looking for p/t work pts 0.4 0.5 0.5 0.6 0.5 0.8 0.8 0.9 0.4 0.2 0.2 Total pts 0.2 0.3 0.3 0.4 0.3 0.5 0.4 0.5 0.2 0.2 0.1 Participation rate pts 0.4 0.6 0.5 0.6 0.6 0.8 2.8 0.9 0.3 0.3 0.2 Aged 15-19 years Employed Full time '000 3.6 2.8 2.7 1.1 1.9 0.5 0.4 0.5 4.8 3.7 5.7 Part time '000 4.7 4.1 3.8 1.8 2.2 0.6 0.4 0.6 5.4 6.2 7.9 Total '000 5.7 4.8 4.7 2.1 2.8 0.8 0.5 0.8 6.8 6.9 9.5 Unemployed Looking for f/t work '000 3.0 2.1 2.8 1.3 1.4 0.5 0.1 0.3 3.5 3.6 5.1 Looking for p/t work '000 3.1 3.2 2.8 1.2 1.3 0.4 - 0.4 3.9 3.8 5.5 Total '000 4.4 4.0 4.1 1.8 1.9 0.6 0.1 0.5 5.3 5.3 7.5 Labour force '000 6.3 5.4 5.3 2.3 3.1 0.9 0.5 0.8 7.5 7.5 10.5 Not in labour force '000 8.0 6.3 4.6 2.1 3.6 1.0 0.9 0.7 8.1 7.6 11.3 Unemployment rate Looking for f/t work pts 3.1 3.4 3.4 5.2 3.3 5.7 2.6 6.5 1.7 2.8 1.5 Looking for p/t work pts 1.7 2.1 1.9 2.3 2.4 3.5 1.1 3.4 1.5 1.1 0.9 Total pts 1.6 1.8 1.8 2.4 1.9 3.1 1.8 3.0 1.1 1.1 0.8 Participation rate pts 1.3 1.5 1.7 2.2 2.0 2.6 3.3 3.5 1.0 1.0 0.7 Unemployment to population ratio - looking for f/t work pts 0.6 0.6 0.9 1.2 0.9 1.4 0.7 1.4 0.5 0.5 0.3 - nil or rounded to zero (including null cells)

MOVEMENT ESTIMATES

The following example illustrates how to use the standard error to interpret a movement estimate. Let us say that one month the published level estimate for females employed part-time in Australia is 1,890,000; the next month the published level estimate is 1,900,000 and the associated standard error for the movement estimate is 9,500. The standard error is then used to interpret the published movement estimate of 10,000. For instance, the standard error of 9,500 indicates that:
• There are approximately two chances in three that the real movement between the two months falls within the range 500 to 19,500 (10,000 + or - 9,500)
• There are approximately nineteen chances in twenty that the real movement falls within the range -9,000 to 29,000 (10,000 + or - 19,000).

The following table shows the standard errors for this month's movement estimates.

 AUSTRALIA NSW Vic. Qld SA WA Tas. NT ACT Males Females Persons Aged 15 years and over Employed Full time '000 14.0 11.3 10.1 3.9 6.3 1.7 1.3 1.7 17.8 12.9 22.6 Part time '000 8.9 7.4 6.2 2.7 4.0 1.2 0.6 1.0 7.9 11.8 14.1 Total '000 16.9 13.7 13.7 5.5 8.0 2.1 1.4 1.9 19.6 17.7 27.5 Unemployed Looking for f/t work '000 8.1 6.6 7.0 2.7 3.3 1.1 0.4 0.9 9.4 8.3 12.6 Looking for p/t work '000 5.0 4.6 3.9 1.6 2.3 0.7 0.2 0.7 5.1 6.4 8.1 Total '000 9.6 7.9 8.2 3.2 4.0 1.3 0.5 1.1 10.7 10.4 15.1 Labour force '000 17.3 14.1 14.5 5.9 8.3 2.2 1.4 2.0 20.1 18.2 28.3 Not in labour force '000 15.6 12.7 11.9 5.1 7.2 2.1 1.2 1.8 15.1 19.0 25.1 Unemployment rate Looking for f/t work pts 0.3 0.3 0.4 0.5 0.4 0.7 0.5 0.5 0.2 0.3 0.2 Looking for p/t work pts 0.5 0.5 0.5 0.7 0.6 0.9 1.0 1.1 0.5 0.3 0.2 Total pts 0.3 0.3 0.3 0.4 0.3 0.5 0.4 0.5 0.2 0.2 0.1 Participation rate pts 0.3 0.3 0.4 0.4 0.4 0.5 0.8 0.7 0.2 0.2 0.2 Aged 15-19 years Employed Full time '000 2.8 2.1 2.2 0.9 1.5 0.4 0.3 0.4 3.7 3.0 4.3 Part time '000 3.7 3.0 2.9 1.3 1.8 0.5 0.3 0.5 4.1 4.7 5.8 Total '000 4.4 3.5 3.4 1.5 2.2 0.6 0.4 0.6 5.2 5.2 6.9 Unemployed Looking for f/t work '000 3.0 2.5 3.0 1.3 1.5 0.5 0.2 0.3 3.7 3.7 5.2 Looking for p/t work '000 3.2 3.2 2.9 1.1 1.4 0.5 - 0.5 4.0 3.9 5.6 Total '000 4.4 3.9 4.3 1.7 2.1 0.6 0.2 0.6 5.4 5.4 7.7 Labour force '000 4.7 3.8 3.8 1.6 2.3 0.6 0.4 0.6 5.6 5.6 7.5 Not in labour force '000 5.4 4.2 3.5 1.6 2.4 0.7 0.5 0.6 6.1 5.8 8.0 Unemployment rate Looking for f/t work pts 3.5 4.1 3.5 5.9 3.3 6.6 5.0 7.0 2.0 3.1 1.7 Looking for p/t work pts 2.0 2.1 1.9 2.5 2.4 3.8 1.8 4.3 1.5 1.2 0.9 Total pts 1.8 1.9 1.8 2.6 2.0 3.4 2.7 3.6 1.2 1.2 0.9 Participation rate pts 1.0 1.0 1.2 1.5 1.5 1.9 2.4 2.7 0.7 0.8 0.5 Unemployment to population ratio - looking for f/t work pts 0.6 0.7 1.0 1.2 0.9 1.4 1.2 1.5 0.5 0.5 0.3 - nil or rounded to zero (including null cells)