Australian Bureau of Statistics
3302.0.55.003 - Experimental Life Tables for Aboriginal and Torres Strait Islander Australians, 2005–2007
Latest ISSUE Released at 11:30 AM (CANBERRA TIME) 25/05/2009
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APPENDIX 1 CONFIDENCE INTERVALS
The method of calculating Indigenous ERP is described in Experimental Estimates of Aboriginal and Torres Strait Islander Australians, Jun 2006 (cat. no. 3238.0.55.001). The method of adjusting Indigenous deaths for differential identification is given in Chapter 3: Data linkage to derive Indigenous deaths identification rates.
The inputs to the calculation of Indigenous ERP are:
The main input for adjusted Indigenous deaths are Indigenous deaths registered during 2005-2007, modified using the Indigenous deaths identification rate [previously referred to as the coverage rate in Discussion Paper: Assessment of Methods for Developing Life Tables for Aboriginal and Torres Strait Islander Australians, 2006 (cat. no. 3302.0.55.002)]. This adjusts the Indigenous status of death registrations to correspond to the Indigenous status in ERP, which is as reported in PES. The identification rate is calculated from a probabilistic linking of death registrations between August 2006 and June 2007 to the 2006 Census and from PES data. The inputs are:
Estimates of the total and Indigenous populations incorporate components of PES undercount adjustment and the propensities are calculated from PES, and so the sample error in PES generates sample error in Indigenous life expectancy. Standard errors (SEs) were calculated by replication of PES inputs, based on estimated PES sampling error.
Note that PES data are weighted to estimate the propensities but unweighted data were used in the discussion paper.
ESTIMATING SENSITIVITY ERROR
In calculating and applying the identification rate the following assumptions were made:
There was no direct information on possible deviation from the first two assumptions, but deviations within plus or minus five percentage points of identification rate for each state were used for the first assumption, and within plus or minus two percentage points for each age, sex and state for the second assumption. Data from the linked file and PES were analysed to give ranges of deviations in identification rates for the last three assumptions.
The 95% confidence intervals for Indigenous life expectancy at birth estimates from the sensitivity analysis and sample error are given in Table A1.1 below.
The 95% confidence intervals for Indigenous deaths identification rates from the sensitivity analysis and sample error are given in Table A1.2 below.
These errors are produced during the process of calculating the errors for life expectancy, but because the sensitivity errors are applied at a finer level than the sample errors, the process for aggregating them to state level was slightly different.
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This page last updated 22 May 2009