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The t Distribution and its Applications - Statpower

ThetDistribution and its ApplicationsJames H. SteigerDepartment of Psychology and Human DevelopmentVanderbilt UniversityJames H. Steiger (Vanderbilt University)1 / 51 ThetDistribution and its Applications1 Introduction2 Student stDistributionBasic Facts about Student st3 Relationship to the One-SampletDistribution of the Test StatisticThe General Approach to Power CalculationPower Calculation for the 1-SampletSample Size Calculation for the 1-Samplet4 Relationship to thetTest for Two Independent SamplesDistribution of the Test StatisticPower Calculation for the 2-SampletSample Size Calculation for the 2-Samplet5 Relationship to the Correlated SampletDistribution of the Correlated SampletStatistic6 Distribution of the GeneralizedtStatisticSample Size Estimation in the Generalizedt7 Power Analysis via SimulationJames H. Steiger (Vanderbilt University)2 / 51 IntroductionIntroductionIn this module, we review some properties of Student shall then relate these properties to the null and non-nulldistribution of three classic test statistics:1 The 1-Sample Student st-test for a single 2-Sample independent samplet-test for comparing two 2-Sample correlated sample t-test for comparing two meanswith correlated or repeated-measures then discuss power and sample size calculations using thedeveloped H.

The t Distribution and its Applications 1 Introduction 2 Student’s t Distribution Basic Facts about Student’s t 3 Relationship to the One-Sample t …

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