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The estimation of unknown multiway distributions

To IPF or to Reweight? That is the question…. The estimation of unknown multiway distributions. Paul Williamson University of Liverpool, UK. Survey distribution [of age by sex]. 1. The need for IPF/Reweighting. …for local area?. Over-exaggerate problem?.

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The estimation of unknown multiway distributions

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  1. To IPF or to Reweight? That is the question… The estimation of unknown multiway distributions Paul Williamson University of Liverpool, UK

  2. Survey distribution [of age by sex] 1. The need for IPF/Reweighting …for local area?

  3. Over-exaggerate problem? • Sampling Error:Conditional Probability • 2% sample • Minimally multivariate • Not based on minorities (e.g. unemployed ethnic minority) • Min. geog. threshold: 120k

  4. Local sex distribution Survey distribution [of age by sex] Local age distribution  Need to make most of all available data…

  5. 2. IPF v. Reweighting

  6. 2. IPF v. Reweighting

  7. Comparison for margin-constrained tables • Target: age x sex x tenure x economic position (64 counts) at district level (17 districts) • % NFC (17 district average) • 32 • 18 • 22 • 37 • 2% SAR • CO • IPFN • IPFU

  8. Simpson & Tranmer (2005) • Target: Car ownership (2) x Tenure (3) (6 counts; 3%s) for residents at ward level

  9. 3. Housing affordability Household in ‘unaffordable’ housing if: • household income in bottom 40% of national equivalised gross household income • rent/mortgage >= 30% of gross household income Estimated by reweighting HES to fit 74 SLA constraints [cell counts] for each of 953 SLAs (SLA~Ward) GREGWT estimates produced by NATSEM (University of Canberra) [GREGWT≈GENLOG]

  10. Measures of Fit • Cells: • AE; APE; Z-score; Zm-score; NFC • Table(s): • TAE; TAPE; ΣZ2; RSSZ; NFT

  11. Cause: Patterns of weight distribution? Solution: CO with non-integer increments?

  12. 4. Conclusion (a) Accuracy of estimates (b) Unanswered questions

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