TRAFFIC ENGINEERING
HANDBOOK
,TRAFFIC ENGINEERING
HANDBOOK
SEVENTH EDITION
Institute of Transportation Engineers
Anurag Pande, Ph.D.
Brian Wolshon, Ph.D., P.E., PTOE
Co-editors
,Cover image: Boston Complete Streets Guidelines, Boston Transportation Department;
Dunsmuir Separated Bike Lane © Paul Krueger
Cover design: Wiley
This book is printed on acid-free paper. ∞
Copyright © 2016 by John Wiley & Sons, Inc. All rights reserved.
Published by John Wiley & Sons, Inc., Hoboken, New Jersey.
Published simultaneously in Canada.
No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by
any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except as permitted
under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior written permis-
sion of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright
Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 646-8600, or on the
web at www.copyright.com. Requests to the Publisher for permission should be addressed to the Permis-
sions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201)
748-6008, or online at www.wiley.com/go/permissions.
Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in
preparing this book, they make no representations or warranties with the respect to the accuracy or com-
pleteness of the contents of this book and specifically disclaim any implied warranties of merchantability
or fitness for a particular purpose. No warranty may be created or extended by sales representatives or
written sales materials. The advice and strategies contained herein may not be suitable for your situation.
You should consult with a professional where appropriate. Neither the publisher nor the author shall be
liable for damages arising herefrom.
For general information about our other products and services, please contact our Customer Care Depart-
ment within the United States at (800) 762-2974, outside the United States at (317) 572-3993 or fax (317)
572-4002.
Wiley publishes in a variety of print and electronic formats and by print-on-demand. Some material included
with standard print versions of this book may not be included in e-books or in print-on-demand. If this
book refers to media such as a CD or DVD that is not included in the version you purchased, you may
download this material at http://booksupport.wiley.com. For more information about Wiley products, visit
www.wiley.com.
Library of Congress Cataloging-in-Publication Data is available:
ISBN 978-1-118-76230-1 (hardback)
978-1-118-76228-8 (epdf)
978-1-118-76226-4 (epub)
Printed in the United States of America
10 9 8 7 6 5 4 3 2 1
, Table of Contents
................... ...................
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xvii
Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xix
CHAPTER 1: INTRODUCTION TO THE TRAFFIC ENGINEERING HANDBOOK
AND ITS ROLE IN EVOLVING PRACTICE. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1
Anurag Pande, Ph.D. and Brian Wolshon, Ph.D., P.E., PTOE
I. Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
II. The Vision for This Edition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
III. Organization of the Handbook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
CHAPTER 2: PROBABILITY AND STATISTICAL ANALYSES TECHNIQUES
FOR TRAFFIC ENGINEERING PERFORMANCE MEASUREMENT . . . . . . . . . . . . . . . . . . . 9
John McFadden, Ph.D., P.E., PTOE, Seri Park, Ph.D., PTP, and
David A. Petrucci, Jr., P.E., PTOE
I. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
A. Background and Definitions Related to Statistics and Probability . . . . . . . . . . . . . . . . . . . . 9
B. Sampling Strategies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
C. Types of Error . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
D. Variables. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .10
E. Parametric versus Nonparametric Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
II. Descriptive Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
A. Graphs and Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
B. Other Tools . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
C. Measures of Central Tendency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
D. Measures of Dispersion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
E. Measures of Position . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
F. Measures of Association: Correlation Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
III. Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
A. Rules of Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
IV. Probability Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .21
A. Discrete Probability Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
B. Negative Binomial (NB) Distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
C. Continuous Probability Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
V. Confidence Intervals and Hypothesis Testing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
A. Estimating 𝜇 When 𝜎 Is Known . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
VI. Regression Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
A. Linear Regression . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
B. Multiple Linear Regression . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
VII. Financial Analysis and Engineering Economics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
Table of Contents • v
HANDBOOK
,TRAFFIC ENGINEERING
HANDBOOK
SEVENTH EDITION
Institute of Transportation Engineers
Anurag Pande, Ph.D.
Brian Wolshon, Ph.D., P.E., PTOE
Co-editors
,Cover image: Boston Complete Streets Guidelines, Boston Transportation Department;
Dunsmuir Separated Bike Lane © Paul Krueger
Cover design: Wiley
This book is printed on acid-free paper. ∞
Copyright © 2016 by John Wiley & Sons, Inc. All rights reserved.
Published by John Wiley & Sons, Inc., Hoboken, New Jersey.
Published simultaneously in Canada.
No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by
any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except as permitted
under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior written permis-
sion of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright
Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 646-8600, or on the
web at www.copyright.com. Requests to the Publisher for permission should be addressed to the Permis-
sions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201)
748-6008, or online at www.wiley.com/go/permissions.
Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in
preparing this book, they make no representations or warranties with the respect to the accuracy or com-
pleteness of the contents of this book and specifically disclaim any implied warranties of merchantability
or fitness for a particular purpose. No warranty may be created or extended by sales representatives or
written sales materials. The advice and strategies contained herein may not be suitable for your situation.
You should consult with a professional where appropriate. Neither the publisher nor the author shall be
liable for damages arising herefrom.
For general information about our other products and services, please contact our Customer Care Depart-
ment within the United States at (800) 762-2974, outside the United States at (317) 572-3993 or fax (317)
572-4002.
Wiley publishes in a variety of print and electronic formats and by print-on-demand. Some material included
with standard print versions of this book may not be included in e-books or in print-on-demand. If this
book refers to media such as a CD or DVD that is not included in the version you purchased, you may
download this material at http://booksupport.wiley.com. For more information about Wiley products, visit
www.wiley.com.
Library of Congress Cataloging-in-Publication Data is available:
ISBN 978-1-118-76230-1 (hardback)
978-1-118-76228-8 (epdf)
978-1-118-76226-4 (epub)
Printed in the United States of America
10 9 8 7 6 5 4 3 2 1
, Table of Contents
................... ...................
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xvii
Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xix
CHAPTER 1: INTRODUCTION TO THE TRAFFIC ENGINEERING HANDBOOK
AND ITS ROLE IN EVOLVING PRACTICE. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1
Anurag Pande, Ph.D. and Brian Wolshon, Ph.D., P.E., PTOE
I. Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
II. The Vision for This Edition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
III. Organization of the Handbook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
CHAPTER 2: PROBABILITY AND STATISTICAL ANALYSES TECHNIQUES
FOR TRAFFIC ENGINEERING PERFORMANCE MEASUREMENT . . . . . . . . . . . . . . . . . . . 9
John McFadden, Ph.D., P.E., PTOE, Seri Park, Ph.D., PTP, and
David A. Petrucci, Jr., P.E., PTOE
I. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
A. Background and Definitions Related to Statistics and Probability . . . . . . . . . . . . . . . . . . . . 9
B. Sampling Strategies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
C. Types of Error . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
D. Variables. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .10
E. Parametric versus Nonparametric Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
II. Descriptive Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
A. Graphs and Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
B. Other Tools . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
C. Measures of Central Tendency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
D. Measures of Dispersion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
E. Measures of Position . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
F. Measures of Association: Correlation Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
III. Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
A. Rules of Probability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
IV. Probability Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .21
A. Discrete Probability Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
B. Negative Binomial (NB) Distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
C. Continuous Probability Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
V. Confidence Intervals and Hypothesis Testing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
A. Estimating 𝜇 When 𝜎 Is Known . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
VI. Regression Modeling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
A. Linear Regression . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
B. Multiple Linear Regression . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
VII. Financial Analysis and Engineering Economics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
Table of Contents • v