Sociology 2205A/B Chapter Notes - Chapter 6: Interval Estimation, Bias Of An Estimator, Statistical Inference

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6. 2 bias and efficiency: estimators can be selected according to two criteria: bias and efficiency, bias a criterion used to select sample statistic for estimation procedures. It is unbiased if the mean of its sampling distribution is equal to the population value of interest: efficiency the extent to which sample outcomes are clustered around the mean of the sampling distribution. There is less dispersion in a sample than in a population and, as a consequence, s will underestimate the pop. A sampling distribution with and n=100 and (cid:4666) ) = . 00. A sampling distribution with and n=1,000 and (cid:4666) ) = 158. 11. 6. 4 interval estimation procedures for sample means (large samples) = x z( ) ( ) = the standard deviation of the sampling distribution or the standard error of the c. i. Z = the z score as determined by the alpha level mean. Example: want to estimate the average iq of a community, randomly selected a sample of.

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