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eBA Encyclopedia Statistics Terminology: The Bias

11/10/12

eBA Encyclopedia Statistics Terminology: The Bias

Permalink 03:27:40 pm, Categories: Statistics, Statisticians & Roles, Terminology  

eBA Encyclopedia Statistics Terminology: Bias

eBA Encyclopedia Statistics Terminology
Bias is a term which refers to how far the average statistic lies from the parameter it is estimating, that is, the error which arises when estimating a quantity.

Errors from chance will cancel each other out in the long run, those from bias will not.

A statistic is biased if it is calculated in such a way that is systematically different from the population parameter of interest.

The following illustrates bias and precision, where the target value is the bulls eye:

Example
The police decide to estimate the average speed of drivers using the fast lane of the motorway and consider how it can be done. One method suggested is to tail cars using police patrol cars and record their speeds as being the same as that of the police car.

Precise Imprecise
Biased load images
Unbiased

This is likely to produce a biased result as any driver exceeding the speed limit will slow down on seeing a police car behind them. The police then decide to use an unmarked car for their investigation using a speed gun operated by a constable.

This is an unbiased method of measuring speed, but is imprecise compared to using a calibrated speedometer to take the measurement.

Read More more details about this definition and another statistical terms at our new Statistics Terminology Glossary.

'Statistics Terminology'
is a Series of Notes edited Regularly Every Month !

To Read ALL the Articles in this Series, click here: Categories > Statistics > Terminology



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