Transcription of Crash Course on Basic Statistics
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Crash Course on Basic StatisticsMarina Wahl, of New York at Stony BrookNovember 6, 20132 Contents1 Basic Basic Definitions .. Probability of Events .. Bayes Theorem ..62 Basic Types of Data .. Errors .. Reliability .. Validity .. Probability Distributions .. Population and Samples .. Bias .. Questions on Samples .. Central Tendency ..93 The Normal Distribution114 The Binomial Distribution135 Confidence Intervals156 Hypothesis Testing177 The t-Test198 Regression239 Logistic Regression2510 Other Topics2711 Some Related Questions2934 CONTENTSC hapter 1 Basic Basic DefinitionsTrials?Probability is concerned with the outcome also calledexperimentsorobserva-tions(multipl e trials).?Trialsrefers to an event whose outcome is Space (S)?Set ofall possible elementary outcomesofa the trial consists of flipping a coin twice, thesample space isS= (h,h),(h,t),(t,h),(t,t).
pling (SRS).? Systematic sampling: need a list of your pop-ulation and you decide the size of the sample and then compute the number n, which dictates how you will select the sample: { Calculate nby dividing the size of the pop-ulation by the number of subjects you want in the sample. { Useful when the population accrues over
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