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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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