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Unformatted text preview: Outline of topics from Statistics 403 1. Basic definitions [probability, event, sample space, random variable, and and or probabilities]: cumulative probabilities, probabilities of events (1-1, 1-2). 2. Expected value [a single-number summarizing a distribution, giving a sense of the most representative value]: expectations of functions of random variables (1-3, 2-3). 3. Variance [a single-number summary of the dispersion or spread of a distribution]: ex- plicit calculations (2-1, 2-2, 2-3); standardization (5-3). 4. Quantiles [the point in the sample space of a quantitative random variable such that with a given probability p , the observed value is less than or equal to the point]: quantiles for sampling distribution of X (6-1); interquartile range as an alternative to standard deviation (6-2). 5. Statistical properties of the sample mean [expected value and variance of X for iid data, for data that are independent but not identically distributed, and for dependent data,...
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