Fundamentals of Statistics for Aviation Research

Table of Contents

Part A: Research and Statistics Basics

Chapter 1: The General Nature of Research and Statistics

Student Learning Outcomes

1.1 Chapter Overview

1.2 The Research Process

1.3 The Population-Sample Relationship and Sampling Error

1.4 Quantitative Research Methodologies

1.5 Variables and Measurement Scales

Chapter Summary

Vocabulary Check

Review Exercises

References

Chapter 2: Organizing and Summarizing Data

Student Learning Outcomes

2.1 Chapter Overview

2.2 Examining Distributions

2.3 Measures of Central Tendency

2.4 Measures of Dispersion

2.5 Measures of Position: Percentiles and Quartiles

Chapter Summary

Vocabulary Check

Review Exercises

References

Part B: Making Reasonable Decisions about a Population

Chapter 3: Z Scores, the Standard Normal Distribution, and Sampling Distributions

Student Learning Outcomes

3.1 Chapter Overview

3.2 z Scores

3.3 The Standard Normal Distribution

3.4 The Sampling Distribution of Sample Means

Chapter Summary

Vocabulary Check

Review Exercises

References

Chapter 4: The Concept of Statistical Inference

Student Learning Outcomes

4.1 Chapter Overview

4.2 Parameter Estimation

4.3 The Nature of Hypothesis Testing

4.4 Hypothesis Tests Involving the Mean ( Known)

4.5 Confidence Intervals vs. Hypothesis Tests

Chapter Summary

Vocabulary Check

Review Exercises

References

Part C: Analyzing Research Data Involving a Single Sample

Chapter 5: Single-Sample t Test

Student Learning Outcomes

5.1 Chapter Overview

5.2 The t Test Statistic and t Distribution

5.3 Confidence Intervals and the t Distribution

5.4 Hypothesis Testing and the t Distribution

5.5 Using the Single-Sample t Test in Research: A Guided Example

Chapter Summary

Vocabulary Check

Review Exercises

References

Chapter 6: Examining Bivariate Relationships: Correlation

Student Learning Outcomes

6.1 Chapter Overview

6.2 Correlation Fundamentals

6.3 Quantifying Relationships: The Pearson r

6.4 Statistical Aspects of Correlation

6.5 Statistical Inferences Involving the Pearson r

6.6 Using Bivariate Correlation in Research: A Guided Example

Chapter Summary

Vocabulary Check

Review Exercises

References

Chapter 7: Examining Bivariate Relationships: Regression

Student Learning Outcomes

7.1 Chapter Overview

7.2 The Regression Equation

7.3 Statistical Aspects of Regression

7.4 Statistical Inferences Involving the Regression Coefficient

7.5 Using Bivariate Linear Regression in Research: A Guided Example

Chapter Summary

Vocabulary Check

Review Exercises

References

Part D: Analyzing Research Data Involving Two Independent Samples

Chapter 8: Independent-Samples t Test

Student Learning Outcomes

8.1 Chapter Overview

8.2 The Concept of Independent Samples

8.3 Statistical Inferences Involving Independent Samples

8.4 Using the Independent-Samples t Test in Research: A Guided Example

Chapter Summary

Vocabulary Check

Review Exercises

References

Chapter 9: Single-Factor ANOVA

Student Learning Outcomes

9.1 Chapter Overview

9.2 The Concept of ANOVA

9.3 The ANOVA Summary Table and the F Distribution

9.4 Statistical Inferences Involving the Single-Factor ANOVA: Hypothesis Testing

9.5 Using Single-Factor ANOVA in Research: A Guided Example

Chapter Summary

Vocabulary Check

Review Exercises

References

Chapter 10: Factorial ANOVA

Student Learning Outcomes

10.1 Chapter Overview

10.2 The Concept of Factorial Designs

10.3 The Logic and Structure of Factorial ANOVA

10.4 Statistical Inferences Involving Factorial ANOVA: Hypothesis Testing

10.5 Using Factorial ANOVA in Research: A Guided Example

Chapter Summary

Vocabulary Check

Review Exercises

References

Part E: Analyzing Research Data Using a Within-Groups Design

Chapter 11: Repeated-Measures t Test

Student Learning Outcomes

11.1 Chapter Overview

11.2 The Concept of Repeated-Measures

11.3 Statistical Inferences Involving the Repeated-Measures t Test

11.4 Using the Repeated-Measures t Test in Research: A Guided Example

Chapter Summary

Vocabulary Check

Review Exercises

References

Part F: Non-Parametric Statistics: Working with Frequency Data

Chapter 12: The Chi-Square Statistic

Student Learning Outcomes

12.1 Chapter Overview

12.2 One-Way Chi-Square: The Test for Goodness of Fit

12.3 Using the Chi-Square Test for Goodness of Fit in Research: A Guided Example

12.4 Two-Way Chi-Square: The Test for Independence

12.5 Using the Chi-Square Test for Independence in Research: A Guided Example

Chapter Summary

Vocabulary Check

Review Exercises

References

Appendix Tables

Table 1: Area Under the Standard Normal Curve Between the Mean and z

Table 2: Critical Values of Student's t Distribution

Table 3: Critical Values for Pearson r

Table 4: Power Table for Pearson r

Table 5: Critical F Values

Table 6: Critical Values of the Chi-Square Distribution

Table 7: Sample Size and Power for Chi-Square Test for Independence

Answers to Part A Review Exercises

Index