Advanced Statistics Demystified

Chapter 1: Inferences Based on Two Samples

Inferential Statistics

Comparing Two Population Means: Independent Samples

Comparing Two Population Means: Paired Differences

Comparing Two Populations Percents: Independent Samples

Comparing Two Population Variances: Independent Samples

Exercises

Chapter 2: Analysis of Variance: Comparing More Than Two Means

Designed Experiments

The Completely Randomized Design

The Randomized Block Design

Factorial Experiments

Multiple Comparison of Means

Exercises

Chapter 3: Simple Linear Regression and Correlation

Probabilistic Models

The Method of Least Squares

Inferences about the slope of the Regression Line

The Coefficient of Correlation

The Coefficient of Determination

Using the Model for Estimation and Prediction

Exercises

Chapter 4: Multiple Regression

Multiple Regression Models

The First Order Model: Estimating and Interpreting the Parameters in the Model

Inferences about the Parameters

Checking the Overall Utility of a Model

Using the Model for Estimation and Prediction

Interaction Models

Higher Order Models

Qualitative (Dummy) Models

Models with both Qualitative and Quantitative Variables

Stepwise Regression

Exercises

Chapter 5: Nonparametric Statistics

Distribution-Free Tests

The Sign Test

The Mann-Whitney Test for Independent Samples

The Wilcoxon-Signed-Rank Test for the Paired Difference Experiment

The Kruskal-Wallis Test for a Completely Randomized Test

The Friedman Test for a Randomized Block Design

Spearman’s Rank Correlation Coefficient

Exercises

Comprehensive Final Examination

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