Statistical Sciences 1024A/B Lecture Notes - Lecture 8: Unimodality, Central Limit Theorem, Sampling Error
19 Oct 2016
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Page 1 notes: the motivation behind sampling distributions. Don"t confuse sampling error with the nonsampling errors and sources of bias that come up during our sampling module(i. e. , nonresponse, response, undercoverage, biased sampling methods like voluntary response and convenience sampling) Sampling variability - the variation in mean x from sample to sample. Page 2 notes: law of large numbers (lln) This tendency has a name - the law of large numbers (lln). Since srs is an unbiased sampling design, mean of the observations (x with line on top) will target mu. The mean could be higher or lower than mu (this difference is sampling error). By the lln, though, as n increased, x (with line on top) should be closer and closer to mu (i. e. , the sampling error in x (with line on top) will be less and less as n increases). Page 3 notes: sampling distribution of x(with a line on top) mean &
