STAT 110 Lecture Notes - Lecture 3: Statistical Parameter, Statistic
8 Sep 2016
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Parameter- is a number that that describes a population of individuals. Unless every individual in the population is observed, a population parameter is unknown. A statistic- is a number calculated from a sample of individuals. We can calculate the value of a statistic because it is based on the individuals observed in the sample. The sample proportion- is an estimate of the population proportion. It is a statistic because we calculated it using the individuals in the sample. The sample proportion changes from sample to sample, but the values center at the truth about the population. In other words, the sample proportion estimates are correct on average this is what it means to be unbiased. Bias does not depend on sample size (as long as a srs is used. ) The only difference from changing the sample size is that now the variability is the estimates has changed.
