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Evaluating imputation of sex and age for substitutes
in substitute households
Michael Ryan
2008 UNECE Work Session on Statistical Data Editing
Overview
• The New Zealand Census of Population and Dwellings– Background– Dealing with non-response
• Imputation procedures
• Estimation of census coverage– Post-enumeration Survey (PES)
The New Zealand Census
• Background– Population size: 4.2 million– Number of households: 1.5 million (in private
dwellings)
– Census• Frequency: every 5 years• Organisation
– Types of forms– Data collection process
The New Zealand Census
• Dealing with non-response– Within census processes – unit imputation
• creation of substitute dwelling forms• creation of substitute individual forms• imputation of sex and age
– Outside of census – census coverage survey (Post-enumeration Survey – PES)
• sample survey to estimate census undercount and overcount
Census imputation
• Creation of substitute households– Characterisation of a missing dwelling
• Listed in the dwelling frame• Classed as a private dwelling• Classed as occupied on census night• Have no forms received for it
– Errors caused by• Collectors• Processing
Census imputation
• Creation of substitute individuals within substitute households– Donor imputation
• Random selection• From within the immediate physical neighbourhood
Census imputation
• Imputation of sex and age for substitute individuals in substitute households– 2001 Census
• Stochastic imputation from the estimated resident population
• Sex imputed first (at 51% female to 49% male)
• Age imputed, conditional on imputed sex
Census imputation
• Imputation of sex and age for substitute individuals in substitute households (cont.)
– 2006 Census• Imputation using the dwelling form
Census imputation
• Imputation of sex and age for substitute individuals in substitute households (cont.)
– 2006 Census (cont.)
• Donor imputation for age (from donor household)
• Stochastic imputation for sex, independently of age
Post-enumeration Survey (PES)
• Objective– Measurement of overcount and undercount
in census
• Additional benefit– Evaluation of imputation in census
Post-enumeration Survey (PES)
• Characteristics– Carried out as independently as possible
from the census– Starts 2 weeks after the census– Runs for 2 weeks– Sample size – 11,000 households
– Asks for addresses where people were on census night
Post-enumeration Survey (PES)
• What it can do – can identify people for whom substitute
forms were created– can estimate
• number of substitute households that should have been created
• number of substitute individuals that should have been created, and their distribution by sex and age
Comparison of the number of substitutes
• Comparison between the number of substitutes in Census and PES– Test statistics used
(C – P) / SEwhere
C = Census countP = Post-enumeration Survey estimateSE = Sample errors (correspond to 95% intervals)
– SE estimation• Jacknife methodology using GREG estimatesor• Based on calculated design effect
Comparison of the number of substitutesAge and sex of substitute individuals in substitute households
Recommendations for 2011 Census
• That the rigorous checking of the Dwelling Frame against the collectors’ fieldbook that was used in 2006 be continued
• That further work be done to improve the classification of dwellings as occupied / unoccupied
• That the current donor household methodology continue to be used to impute the number of census night occupants
Recommendations for 2011 Census
• That sex for full-substitutes be imputed jointly with age
• That the possible use of PES 2011 estimates of full-substitutes to calibrate substitutes in substitute households be investigated in 2011 Census
• That the current donor household methodology continues to be used to impute age for substitutes in substitute households