1. Estimation of coverage errors using Dual System of Estimation (DSE) Pres. 9

2. Tabulations & Dual System of Estimation (DSE)
Tabulations: Initial tables (weighted)
a. Estimated number of non-movers (P-sample)
b. Estimated number of out-movers (P-sample)
c. Estimated in-movers (P-sample)
d. Estimated number of matched non-movers (P-sample)
e. Estimated number of matched out-movers (P-sample) 2

3. Tabulations & Dual System of Estimation (DSE)
Tabulations: Initial tables (weighted)
f. Estimated number of erroneous inclusions in the census (E-sample)
g. Estimated number of persons correctly enumerated in the census but omitted in the PES (E-sample) 3 3

4. Basic Tabulations for Coverage Analysis
Tabulations for coverage estimates (by age group & sex)
E-sample estimates of population enumerated in the census
P-sample estimates of total population
DSE of True Population
Net census coverage error and net coverage rate
Census omissions & census omission rates
Census erroneous inclusions & census erroneous inclusion rates
Gross census coverage error & rate 4

5. Basic Tabulations for Coverage Analysis
Matched population
Matched non-movers + estimated matched out-movers (thus, in practice, the number of in-movers is assumed to be the same as that of out-movers)
Matched Population = d + e
Census population estimate
Matched non-movers+ matched out-movers + population erroneously included in the census+ population correctly enumerated in the census but missed in the PES Census Population Estimate = d+e+f+g
Estimated PES population
PES population = non-movers + in-movers = a+c 5

6. Dual System of Estimation (DSE)
In census
Out of census
In PES
Out of PES
Total
Based on capture-recapture models
Chandrasekaran-Deming estimator (1949) assuming independence : 6

7. Dual System of Estimation (DSE)
First step to compute DSE is to determine correct enumerations in the census. ”Correct” has 4 dimensions:
Appropriateness: the person should be included in the census
Uniqueness: the person is only once in the census
Completeness: the person has sufficient information recorded to be identified
Geographic correctness: the person is enumerated at her right location

8. Dual System of Estimation (DSE) (contd.)
The form of DSE used in PES is as follows:
Where C = census count
II = number of persons with insufficient information
CE = estimated number of correct enumeration from the E-sample
Ne = estimated number of people from the E-sample
Np = estimated number of people from the P-sample
M = estimated number of persons from the P-sample population who
matched to the census 8 8

9. Dual System of Estimation (DSE) (contd.)
Estimate of True population 9

10. Dual System of Estimation (DSE) (contd.)
Net Coverage Error
The difference between what should have been counted, thus True Population and what was counted in the census
Net coverage error = True Population - Census Count
Net Coverage Error Rate
Net coverage error relative to the true population (an important indicator of the quality of census coverage) 10

11. Dual System of Estimation (DSE) (contd.)
Omissions
Net coverage error = True Population – Census Count
Net coverage error = Omissions – Erroneous Enumeration
Omissions = True Population-Census Count+ Erroneous
Omission Rate= (Omissions/TruePopulation)*100 11 11

12. Coverage rate and Erroneous inclusion rate
Coverage rate (match rate) =
Matched_Population/PES_Population*100
Erroneous Inclusion Rate =
Erroneous_Inclusions/ Census_Count 12 12

13. Dual System of Estimation (DSE) (contd.)
Gross coverage error
The sum of Omissions and Erroneous Inclusions
Gross coverage error rate per unit enumeration
This is the absolute gross error relative to census enumerated population
But...to use with caution 13

14. Thank You!