04.stats-review3

04.stats-review3 - Lecture 4: Review of Statistics (Part 3)...

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Lecture 4: Review of Statistics (Part 3) Some Probability Distributions BUEC 333 Summer 2009 Simon Woodcock
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Some Useful Probability Distributions There are four important probability distributions that we’ll encounter repeatedly: The Normal distribution The Chi-square distribution Student’s t distribution Snedecor’s F distribution Why are these important? Most theory regarding the classical linear regression model (CLRM) is developed in the context of the normal distribution. Doing so gives us exact results (you’ll see what this means soon enough!) When we get away from the exact distributional assumptions of the CLRM, we use large sample approximations. We know from the central limit theorem (remember this?) that many statistics have an approximately Normal distribution as the sample size gets large. Consequently, test statistics that we care about turn out to have Chi-square, t, or F sampling distributions.
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The Normal Distribution A continuous RV with a normal distribution has a “nice” bell-shaped pdf. It is symmetric around its mean.
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This note was uploaded on 06/21/2009 for the course BUEC BUEC333 taught by Professor Simonwoodcock during the Summer '09 term at Simon Fraser.

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04.stats-review3 - Lecture 4: Review of Statistics (Part 3)...

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