© 1976 by Biometrika Trust
Miscellanea |
Connected finite population sampling plans
Department of Mathematics, Imperial College London
Plans for sampling a finite population without replacement are called disconnected if the population separates into twodisjoint sets such that a sample cannot contain units from both sets. It is shown that disconnected plans can achieve, under certain conditions, a maximum variance for the Horvitz-Thompson estimator not achieved by connected plans. Under these conditions simple random sampling is minimax. No plan, however, gives uniformly minimum variance.
Key Words: Block design Connectivity Finite population sampling Minimax Probability proportional to size