Interact on desktop computer, mobile and cloud via the cost-free slrfc.orgPlayer or other slrfc.org Language products.
You are watching: Which of the following conditions will create a biased estimator of a population parameter?
Do not display aobtain
A statistic is called an unbiased estimator of a populace parameter if the suppose of the sampling distribution of the statistic is equal to the value of the parameter. For example, the sample suppose,
For a little population of positive integers, this Demonstration illustprices unbiased versus biased estimators by displaying all feasible samples of a given size, the equivalent sample statistics, the expect of the sampling circulation, and the value of the parameter. Note: for the sample proportion, it is the proportion of the populace that is even that is taken into consideration.
See more: Which Event Always Involves A Chemical Change? ? Examples Of Physical Changes And Chemical Changes
Contributed by: Marc Brodie (Wheeling Jesuit University) (March 2011)Open content licensed under CC BY-NC-SA
Snapshots 4 and 5 show the fact that also if a statistic (in this case the median) is not an unbiased estimator of the parameter, it is feasible for the suppose of the sampling circulation to equal the value of the parameter for a particular populace.
Marc Brodie (Wheeling Jesuit University) "Unbiased and Biased Estimators" http://slrfc.org/UnbiasedAndBiasedEstimators/ slrfc.org slrfc.org Project Published: March 7 2011