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Crash Course on Basic Statistics

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).

Content validity: how well the process of mea-surement re ects the important content of the domain of interests.? Concurrent validity: how well inferences drawn from a measurement can be used to pre-dict some other behaviour that is measured at approximately same time.? Predictive validity: the ability to draw infer-ences about some event in ...

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Thinking fast or slow? A reinforcement learning approach

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