This open access textbook provides the background needed to correctly use, interpret and understand statistics and statistical data in diverse settings. Part I makes key concepts in statistics readily clear. Parts I and II give an overview of the most common tests (t-test, ANOVA, correlations) and work out their statistical principles. Part III provides insight into meta-statistics (statistics of statistics) and demonstrates why experiments often do not replicate. Finally, the textbook shows how complex statistics can be avoided by using clever experimental design. Both non-scientists and students in Biology, Biomedicine and Engineering will benefit from the book by learning the statistical basis of scientific claims and by discovering ways to evaluate the quality of scientific reports in academic journals and news outlets.
Author(s): Michael H. Herzog, Gregory Francis, Aaron Clarke
Series: Learning Materials In Biosciences
Publisher: Springer
Year: 2019
Language: English
Pages: 146
Tags: Statistics, Experimental Design
Front Matter ....Pages i-xi
Front Matter ....Pages 1-1
Basic Probability Theory (Michael H. Herzog, Gregory Francis, Aaron Clarke)....Pages 3-11
Experimental Design and the Basics of Statistics: Signal Detection Theory (SDT) (Michael H. Herzog, Gregory Francis, Aaron Clarke)....Pages 13-22
The Core Concept of Statistics (Michael H. Herzog, Gregory Francis, Aaron Clarke)....Pages 23-50
Variations on the t-Test (Michael H. Herzog, Gregory Francis, Aaron Clarke)....Pages 51-59
Front Matter ....Pages 61-61
The Multiple Testing Problem (Michael H. Herzog, Gregory Francis, Aaron Clarke)....Pages 63-66
ANOVA (Michael H. Herzog, Gregory Francis, Aaron Clarke)....Pages 67-82
Experimental Design: Model Fits, Power, and Complex Designs (Michael H. Herzog, Gregory Francis, Aaron Clarke)....Pages 83-94
Correlation (Michael H. Herzog, Gregory Francis, Aaron Clarke)....Pages 95-102
Front Matter ....Pages 103-103
Meta-analysis (Michael H. Herzog, Gregory Francis, Aaron Clarke)....Pages 105-110
Understanding Replication (Michael H. Herzog, Gregory Francis, Aaron Clarke)....Pages 111-121
Magnitude of Excess Success (Michael H. Herzog, Gregory Francis, Aaron Clarke)....Pages 123-131
Suggested Improvements and Challenges (Michael H. Herzog, Gregory Francis, Aaron Clarke)....Pages 133-142
