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Unformatted text preview: Psych 100A Week 4 Discussion Notes Dawn Chen October 23, 2009 Estimators vs. Estimates An estimator is a function of the sample scores used to estimate an unknown population parameter (e.g., to estimate the population mean, we could use the sample mean, median, or mode), whereas an estimate is a particular value of an estimator, calculated from an actual sample. Notation: An estimator for a parameter is denoted by . For example, an estimator for is denoted by . Sampling Distributions When we draw different samples from a population, the sample mean, standard deviation, etc., will differ from sample to sample. The sampling distribution of a statistic is the distribution of the values of that statistic calculated from all possible samples of a given size drawn from a population (see figure below). Thus, the characteristics of a sampling distribution are determined by the population distribution and the sample size. The characteristics of the sampling distribution of the mean for a given population and sample size are described by the Central Limit Theorem....
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