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They are still unbiased however they are inefficient since the variances are no longer constant. They are no longer the "best" estimators as they do not have minimum variance

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13y ago

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Why are unbiased estimators preferred over biased estimators?

Unbiased estimators are preferred over biased estimators because they, on average, accurately reflect the true value of the parameter being estimated, leading to more reliable conclusions. While biased estimators can be closer to the true value in some specific cases, their systematic error can mislead interpretations and decisions. Unbiased estimators ensure that the estimates converge to the true parameter value as sample size increases, enhancing their overall credibility in statistical analysis.


What are considered biased estimators of a population?

Biased estimators of a population are statistical estimators that systematically overestimate or underestimate the true value of a population parameter. This bias can arise from various sources, such as sampling methods, measurement errors, or flawed assumptions in the model used for estimation. For example, using a non-random sample can lead to biased results if certain groups are overrepresented or underrepresented. In contrast, an unbiased estimator would, on average, equal the true population parameter across many samples.


If hetroseedasticity is present the conventional t and f test are invalid?

Heteroscedasticity refers to the situation in regression analysis where the variance of the errors is not constant across all levels of the independent variable(s). When heteroscedasticity is present, it can lead to biased standard errors, which in turn affects the validity of the conventional t and F tests. This means that the tests may produce misleading results regarding the significance of coefficients, potentially leading to incorrect conclusions. Therefore, it is crucial to detect and address heteroscedasticity to ensure reliable statistical inference.


What is non-response bias?

One effect of non-response is that is reduces the sample size. This does not lead to wrong conclusions. Due to the smaller sample size, the precision of estimators will be smaller. The margins of error will be larger.A more serious effect of non-response is that it can be selective. This occurs if, due to non-response, specific groups are under- or over-represented in the survey. If these groups behave differently with respect to the survey variables, this causes estimators to be biased. To say it in other word: estimates are significantly too high or too low.


How do you relate biased and unbiased to the real world?

you can not people can be biased and not biased


Use the word biased in a sentence?

I think that question was biased! It almost made me think you were biased! It should be obvious my answer is biased! Sometimes I think that I.Q. test questions are biased!


Is Science biased?

Science is not biased.


What is a biased?

A biased sample is a sample that is not random. A biased sample will skew the research because the sample does not represent the population.


What is a biased sample?

A biased sample is a sample that is not random. A biased sample will skew the research because the sample does not represent the population.


What does biased and un-biased mean?

Biased- prejudice Unbiased- fair or impartial


What terms shows gender bias?

Businessman is biased. Professional or executive is bias free.Foreman is biased. Supervisor is bias free.Girl Friday is biased. Clerk is bias free.Newsman is biased. Journalist is bias free.Stewardess is biased. Flight attendant is bias free.


What is a sentence for the word biased?

The judges are biased in their opinion on who won the medal.