Analysis of Neural Data

✍ Scribed by Robert E. Kass, Uri T. Eden, Emery N. Brown (auth.)

• Publisher: Springer-Verlag New York
• Year: 2014
• Tongue: English
• Leaves: 663
• Series: Springer Series in Statistics
• Edition: 1
• Category: Library

✦ Synopsis

Continual improvements in data collection and processing have had a huge impact on brain research, producing data sets that are often large and complicated. By emphasizing a few fundamental principles, and a handful of ubiquitous techniques, Analysis of Neural Data provides a unified treatment of analytical methods that have become essential for contemporary researchers. Throughout the book ideas are illustrated with more than 100 examples drawn from the literature, ranging from electrophysiology, to neuroimaging, to behavior. By demonstrating the commonality among various statistical approaches the authors provide the crucial tools for gaining knowledge from diverse types of data. Aimed at experimentalists with only high-school level mathematics, as well as computationally-oriented neuroscientists who have limited familiarity with statistics, Analysis of Neural Data serves as both a self-contained introduction and a reference work.

✦ Table of Contents

Front Matter....Pages i-xxv
Introduction....Pages 1-22
Exploring Data....Pages 23-35
Probability and Random Variables....Pages 37-69
Random Vectors....Pages 71-104
Important Probability Distributions....Pages 105-135
Sequences of Random Variables....Pages 137-148
Estimation and Uncertainty....Pages 149-178
Estimation in Theory and Practice....Pages 179-220
Propagation of Uncertainty and the Bootstrap....Pages 221-246
Models, Hypotheses, and Statistical Significance....Pages 247-286
General Methods for Testing Hypotheses....Pages 287-307
Linear Regression....Pages 309-359
Analysis of Variance....Pages 361-389
Generalized Linear and Nonlinear Regression....Pages 391-412
Nonparametric Regression....Pages 413-438
Bayesian Methods....Pages 439-489
Multivariate Analysis....Pages 491-512
Time Series....Pages 513-561
Point Processes....Pages 563-603
Back Matter....Pages 1-21

✦ Subjects

Statistics for Life Sciences, Medicine, Health Sciences; Neurosciences; Neuropsychology; Statistical Theory and Methods