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9: Basics of Hypothesis Testing

Introduction to statistics Nisheeth Distinctions Between Parameters and statistics Parameters statistics Source Population Sample Notation Greek ( , ) Roman ( , xbar) Vary No Yes Calculated No Yes The bayesian s universe World Data Params Lklhd Generates Model Prior Inference Inference Magic The statistician s universe Population Data Params Stats Sample statistics Approximate The Reverend Bayes published posthumously. The field of statistics would greatly improve if all Bayesians were to follow his example Sampling Distributions of a Mean nSESENxxx where,~The sampling distributions of a mean (SDM) describes the behavior of a sampling mean Hypothesis Testing Is also called significance Testing Tests a claim about a parameter using evidence (data in a sample The technique is introduced by considering a one-sample z test The procedure is broken)

Statistics Parameters Statistics Source Population Sample Notation Greek (e.g., μ) Roman (e.g., xbar) Vary No Yes Calculated No Yes . The Bayesian’s universe World Data Params Lklhd Generates Model Prior Inference Inference Magic . The statistician’s universe ... 3.00 5 185 170 0 stat SE x x z P ...

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  Basics, Statistics, Bayesian

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