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ADVANCED STATISTICS COURSE CONTENTS
 :: INFERENCES FROM SAMPLES The Testing Process Sample Averages The Central Limit Theorem Distribution of Strengths Introducing Alpha Standard Deviation Unknown The t Distribution Calculating Probability with the t Distribution Inferences from Samples Exercises :: HYPOTHESIS TESTING Using Tests in Decision Making Hypothesis Tests Calculating the t statistic The P-value Using t Distribution Tables Single Sided and Double Sided Tests Interpreting Single Sided Tests Comparing the Single Sided and Double Sided Result Using t Tables for Single Sided Tests Summarizing t Tests Type I and Type II Errors, and Power Deciding on the Sample Size Hypothesis Testing Exercises :: MAKING COMPARISONS Comparing Two Samples Two sample t Test Paired and Unpaired Test Making Comparisons Exercises Comparing Proportions Contingency Tables Chi Square Tables Chi Square Test & Contingency Exercises :: REGRESSION ANALYSIS Introduction Creating a Graph The Model Parameters Estimating the Model Parameters Minimizing the Error Calculating the Coefficients Using Excel The Expected Value of y Creating the Graph Using Minitab Introducing Correlation The Coefficient of Correlation The Correlation Coefficient Formula Interpreting the Correlation Coefficient Confidence Limits Multiple Linear Regression Hypothesis Testing Regression Analysis Exercises Residual Analysis Patterns in Residuals Residual Analysis with Excel Residual Analysis with Minitab Multiple Linear Regression Exercise

 :: ANALYSIS OF VARIANCE (ANOVA) Introducing ANOVA Estimating the Variances Variance from the Sample Means Averaging Variance of Rows The F Statistic Sum of Squares Degrees of Freedom Calculating the DOF Mean Square The F Distribution F Distribution Tables Using Excel Using Minitab ANOVA Exercises :: PROBABILITY AND DISTRIBUTIONS Binomial Distribution Probability Independent Events Or Not So Exclusive Permutations More Permutations Combinations The Binomial Formula The Binomial Mean and Variance Binomial and Normal Distributions Binomial Distribution Exercises Poisson Distribution Poisson Distribution Tables Poisson Mean and Variance Poisson Distribution Exercises Hypergeometric Distribution Hypergeometric Distribution Exercises Discrete Uniform Distribution Summarizing Distributions Probability and Distributions Exercises

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