The Foundations of Statistics: A Simulation-based Approach

• Main Authors: Vasishth, Shravan (Author), Broe, Michael (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Subjects: Mathematics.; Data mining.; Applied mathematics.; Engineering mathematics.; Psycholinguistics.; Mathematics > Study and teaching.; Psychology.; Applications of Mathematics.; Data Mining and Knowledge Discovery.; Mathematics Education.; Psychology, general.

Statistics and hypothesis testing are routinely used in areas (such as linguistics) that are traditionally not mathematically intensive. In such fields, when faced with experimental data, many students and researchers tend to rely on commercial packages to carry out statistical data analysis, often...

Table of Contents:

• 1. Getting Started
• 2. Randomness and Probability
• 3. The Sampling Distribution of the Sample Mean
• 4. Power
• 5. Analysis of Variance (NOVA)
• 6. Bivariate Statistics and Linear Models
• 7. An Introduction to Linear Mixed Models. A. Random Variables
• B- Basic R Commands and Data Structures
• Index
• References.