1st Edition

# Fundamentals of Statistics for Aviation Research

366 Pages 103 B/W Illustrations
by Routledge

366 Pages 103 B/W Illustrations
by Routledge

366 Pages 103 B/W Illustrations
by Routledge

Also available as eBook on:

This is the first textbook designed to teach statistics to students in aviation courses. All examples and exercises are grounded in an aviation context, including flight instruction, air traffic control, airport management, and human factors.

Structured in six parts, this book covers the key foundational topics relative to descriptive and inferential statistics, including hypothesis testing, confidence intervals, z and t tests, correlation, regression, ANOVA, and chi-square. In addition, this book promotes both procedural knowledge and conceptual understanding.

Detailed, guided examples are presented from the perspective of conducting a research study. Each analysis technique is clearly explained, enabling readers to understand, carry out, and report results correctly. Students are further supported by a range of pedagogical features in each chapter, including objectives, a summary, and a vocabulary check.

Digital supplements comprise downloadable data sets and short video lectures explaining key concepts. Instructors also have access to PPT slides and an instructor’s manual that consists of a test bank with multiple choice exams, exercises with data sets, and solutions.

This is the ideal statistics textbook for aviation courses globally, especially in aviation statistics, research methods in aviation, human factors, and related areas.

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

### Biography

Michael A. Gallo, Ph.D., is a Professor Emeritus in the College of Aeronautics at Florida Institute of Technology, USA.

Brooke E. Wheeler, Ph.D., is an Associate Professor in the College of Aeronautics at Florida Institute of Technology, USA.

Isaac M. Silver, Ph.D., is the President of Energy Management Aerospace, USA.