Question

what is a statistical estimate of how close to the population value a sample of a particular size is expected to be is called

Answer 1

An important property of the good estimator is unbiasedness.

An estimator is said to be unbiased if the expected value of that estimator is equal to the population parameter being estimated.

Statistical bias is a feature of a statisticaltechnique or of its results whereby the expected value of the results differs from the true underlying quantitative parameter being estimated. The bias of an estimator of a parameter should not be confused with its degree of precision as the degree of precision is a measure of the sampling error. Mathematically Bias can be Defined as:

Let statistics used to estimate a parameter if then is called the bias of the statistic T, where represents the expected value of the statistics . If , then . So, is an unbiased estimator of the true parameter, say

Hence the statistical estimate is biasness