An unbiased estimator is said to be consistent if the difference between the estimator and the population parameter grows smaller as the sample size grows larger.

Basic Clinical Laboratory Techniques 6E
6th Edition
ISBN:9781133893943
Author:ESTRIDGE
Publisher:ESTRIDGE
Chapter1: The Clinical Laboratory
Section1.9: Quality Assessment
Problem 1.1CT
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The following statements are either true or false.  Indicate true or false and justify your answer briefly.

  1. An unbiased estimator is said to be consistent if the difference between the estimator and the population parameter grows smaller as the sample size grows larger.
  2. An unbiased estimator is a sample statistic whose expected value equals the population parameter.
  3. Knowing that an estimator is unbiased neither assures us that its expected value equals the population parameter, nor does it tell us how close the estimator is to the population parameter. 
  4. A specific confidence interval obtained from sample data will always correctly estimate the population parameter.

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