Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
Topics
Data & Maps
Surveys & Programs
Resource Library
Direct Proof of Exact Sample Allocation Optimality with Cost Constraints
Direct Proof of Exact Sample Allocation Optimality with Cost Constraints
RRS2019-03
Abstract
We provide an elementary derivation of Kadane’s dynamic sampling plan by first directly finding the sample allocation that minimizes a decomposed weighted objective function. We then prove that the sample allocation also minimizes the sampling variance.
The plan is most appropriate in the context of sampling sequentially from a stratified population where sampling costs vary among the strata. It specifies from which stratum to take the next sample unit which reduces variance by the largest amount per unit cost. Whenever sampling stops, the realized allocation minimizes the sampling variance for the cost C* at that point, as well as for any cost and allocation that costs less than C*. It’s a form of adaptive sampling, and our proof provides complete insight into why Kadane’s plan works.
Page Last Revised - October 28, 2021
✕
Is this page helpful?
Yes
No
Yes
No✕
NO THANKS
255 characters maximum
255 characters maximum reached
255 characters maximum reached
✕
Thank you for your feedback.
Comments or suggestions?
Comments or suggestions?
