Bias
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The term “bias” is frequently used in a colloquial sense equivalent to systematic error. In statistical sampling, it is mostly the “estimator bias” that is referred to when using this term. An estimator is biased if it does not approximate the true parametric value of a [[population]] when the [[sample size]] is more and more increased. It is eventually not the estimate that is biased, but the estimator. Any estimate deviates more or less from the true parametric value, but this may just be expression of residual variability also without bias. | The term “bias” is frequently used in a colloquial sense equivalent to systematic error. In statistical sampling, it is mostly the “estimator bias” that is referred to when using this term. An estimator is biased if it does not approximate the true parametric value of a [[population]] when the [[sample size]] is more and more increased. It is eventually not the estimate that is biased, but the estimator. Any estimate deviates more or less from the true parametric value, but this may just be expression of residual variability also without bias. | ||
If a biased estimator is used, the bias is not reduced nor eliminated by increasing the sample size. | If a biased estimator is used, the bias is not reduced nor eliminated by increasing the sample size. | ||
“Selection bias” describes a procedure of sample selection where randomization is not fully applied but where subjective sample selection does possibly lead to the preferred selection of population elements with particular characteristics. | “Selection bias” describes a procedure of sample selection where randomization is not fully applied but where subjective sample selection does possibly lead to the preferred selection of population elements with particular characteristics. | ||
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Revision as of 15:19, 27 October 2013
The term “bias” is frequently used in a colloquial sense equivalent to systematic error. In statistical sampling, it is mostly the “estimator bias” that is referred to when using this term. An estimator is biased if it does not approximate the true parametric value of a population when the sample size is more and more increased. It is eventually not the estimate that is biased, but the estimator. Any estimate deviates more or less from the true parametric value, but this may just be expression of residual variability also without bias. If a biased estimator is used, the bias is not reduced nor eliminated by increasing the sample size. “Selection bias” describes a procedure of sample selection where randomization is not fully applied but where subjective sample selection does possibly lead to the preferred selection of population elements with particular characteristics.
