San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA)
: Morgan & Claypool Publishers,
, c2011.
1 electronic text (xii, 162 p. ill.) , digital file.
(Synthesis lectures on mathematics and statistics,1938-1751
; 8)
Part of: Synthesis digital library of engineering and computer science.
Title from PDF t.p. (viewed on October 13, 2010).
Series from website.
Electronic
Includes bibliographical references (p. 75-76).
Statistics is the activity of inferring results about a population given a sample. Historically, statistics books assume an underlying distribution to the data (typically, the normal distribution) and derive results under that assumption. Unfortunately, in real life, one cannot normally be sure of the underlying distribution. For that reason, this book presents a distribution-independent approach to statistics based on a simple computational counting idea called resampling. This book explains the basic concepts of resampling, then systematically presents the standard statistical measures along with programs (in the language Python) to calculate them using resampling, and finally illustrates the use of the measures and programs in a case study. The text uses junior high school algebra and many examples to explain the concepts. The ideal reader has mastered at least elementary mathematics, likes to think procedurally, and is comfortable with computers.
References -- Bias corrected confidence intervals -- Appendix B.
5. Case study: New Mexico's 2004 presidential ballots -- 5.1. Take a close look at the data -- What questions do we want to ask -- How do we attempt to answer this question -- Next: effect of ethnicity for each machine type -- We have used the following techniques -- What did we find out? --
4. The essential stats -- 4.1. Mean -- Why and when -- Calculate -- Example -- Pseudocode & code -- 4.2. Difference between two means -- Why and when -- Calculate -- Example -- Pseudocode & code -- 4.3. Chi-squared -- Why and when -- Calculate with example -- Pseudocode & code -- Calculate with example for multiple variables -- Pseudocode & code -- 4.4. Fisher's exact test -- Why and when -- Calculate with example -- Pseudocode & code -- 4.5. One-way ANOVA -- Why and when -- Calculate with example -- Statistics is easy -- Pseudocode & code -- 4.6. Multi-way ANOVA -- Why and when -- Calculate with example -- Pseudocode & code -- 4.7. Linear regression -- Why and when -- Calculate with example -- Pseudocode & code -- 4.8. Linear correlation -- Why and when -- Calculate & example -- Pseudocode & code -- 4.9. Multiple regression -- 4.10. Multiple testing -- Why and when -- Family wise error rate -- False discovery rate --
3. Terminology --
2. Pragmatic considerations when using resampling --
1. The basic idea --
Synthesis lectures on mathematics and statistics,1938-1751
8
Synthesis digital library of engineering and computer science