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SCIENTIFIC METHODS
an online book
Richard D. Jarrard
Dept. of Geology and Geophysics, University of Utah
r.jarrard@utah.edu

This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported

License. To view a copy of this license, visit http://creativecommons.org/licenses/by-sa/3.0/ or

send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA.

The original native digital pdf file is on-line at: https://archive.org/details/sm_all_cc

Scientific Methods is an online book about the techniques and processes of science and the experience of being a scientist. This book is written by a scientist for scientists. My hope is that it will be browsed by scientists (including graduate students) and read by undergraduates.

Why am I publishing this book online, despite having a willing soft-cover publisher? The main reason is wider availability to readers. A typical science book has a publication run of ~2000 copies, then it goes out of print. Additional factors include educational use and ease of revision. I admit that I would have enjoyed saying that I earned ~25¢/hour by writing this book.


CONTENTS
1. Introduction 1
Overview 1
Thumbnail History of Scientific Methods 3
Myth of a Scientific Method 12
Scientific Methods 12
SCIENTIFIC TOOLBOX
2. Variables 15
Statistics 15
Errors 16
Precision > Accuracy > Reliability 17
Random and Systematic Errors 18
Representative Sampling 18
Replication and Confirmation 20
Probability 20
Sampling Distribution for One Variable 21
Histograms 22
Normal Distribution 23
Mean & Standard Deviation 23
Normal Distribution Function 24
Weighted Mean 26
95% Confidence Limits on Mean 26
How Many Measurements are Needed? 27
Propagation of Errors 28
Non-Normal Distributions 29
Normality Tests 30
Rejecting Anomalous Data 32
Median, Range, & 95% Confidence Limits 33
Examples 37