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Table 5 Mean estimations in simulation. The mean estimation of population based on simulation dataset and the true mean values are listed in the column Sample. The mean estimation of cohort are listed in the column Cohort. The estimation by VAM based on the three different simulation datasets are listed in the last six rows. *Cohort is randomly drawn from samples of population, thus, the underlying distribution of it is identical to population

From: Grouped data with survey revision

  

Sample

Cohort

True value (Expected value of underlying distribution)

3

3*

True value (Sample mean)

2.98246

2.99449

Midpoint method

1.90892

1.90185

MLE

2.97855

2.98106

Simulation dataset 1

VAM (Midpoint method)

2.71968

2.71013

VAM (MLE)

3.01784

3.00904

Simulation dataset 2

VAM (Midpoint method)

2.71968

2.71015

VAM (MLE)

3.01784

3.00904

Simulation dataset 3

VAM (Midpoint method)

2.7375

2.72794

VAM (MLE)

3.04389

3.03518