Tutorial 4 Statistical inference
Introduction
What is statistical inference? Why do we set a threshold? And which threshold should one choose? Type 1 error, Type 2 error and Power considerations.
Tutorial details
This tutorial is still under development. When finished, it will provide a step by step explanation of statistical thresholding of fMRI data.
Learning goals
Untill this tutorial is finished, please refer to the online materials suggested at the bottom of this page.
Human Brain Function: 3
Members of the Wellcome Trust Centre for Neuroimaging have published a free, online book about the analysis of functional images. Section 3 is devoted to the problem of dealing with multiple comparisons and inference.
Robert V. Hogg
this applied introduction to the mathematics of probability and statistics emphasizes the existence of variation in almost every process, and how the study of probability and statistics helps us understand this variation. Designed for students with a background in calculus, this book continues to reinforce basic mathematical concepts with numerous real-world examples and applications to illustrate the relevance of key concepts.
D.R. Cox
The content ranges from the traditional to the contemporary. While specific applications are not treated, the book is strongly motivated by applications across the sciences and associated technologies. The mathematics is kept as elementary as feasible, though previous knowledge of statistics is assumed. Download an excerpt of this book.
Nicole A. Lazar
A book on fMRI data analysis aimed primarily at statisticians. It features a survey of the major statistical analysis approaches and includes discussion and comparison of analysis paths that enable readers to make informed data analysis choices. Download a sample chapter of this book.
K.M. Petersson
Article Title | Statistical limitations in functional neuroimaging. II. Signal detection and statistical inference.
Gordon E. Sarty
A review of the methods used for analyzing fMRI data, with mathematical outlines of how each method works, and the software available for developing the data. Aimed at graduate students and research investigators. Download a sample chapter of this book.
