How Is the Unbiasness of Estimators Defined

question 101

Multiple Choice

How is the unbiasness of estimators defined?

• A)An estimator is unbiased if its expected value equals the estimated population parameter.
• B)An unbiased estimator approaches the estimated population parameter as the sample size grows larger.
• C)An estimator is unbiased if it always gives the correct value of the estimated population parameter.
• D)An estimator is unbiased if its standard error is lower than that of other estimators of the estimated population parameter.

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Definitions:

Dependent Variable

A dependent variable is the outcome or response that researchers are interested in explaining or predicting, changing in response to manipulation of the independent variable.

Independent Variable

The variable in an experimental or observational study that is manipulated or categorized to observe its effect on the dependent variable.

Covariance Value

A measure indicating the extent to which two random variables change together, where a positive value implies direct correlation, and a negative value an inverse correlation.

Least Squares Regression

A statistical method used to determine the line of best fit by minimizing the sum of squares of the differences between observed values and the values predicted by the model.