Skip to Content
Applied Statistics
book

Applied Statistics

by Dieter Rasch, Rob Verdooren, Jürgen Pilz
October 2019
Intermediate to advanced content levelIntermediate to advanced
472 pages
13h 34m
English
Wiley
Content preview from Applied Statistics

Appendix BSymbolism

In part, we use different notation to other mathematical disciplines. We do not use capital letters as in probability theory to denote random variables but denote them by bold printing. We do this not only to distinguish between a random variable F with F‐distribution and its realisation F but mainly because linear models are important in this book. In a mixed model in the two‐way cross classification of the analysis of variance with a fixed factor A and a random factor B is the model equation with capital letters written as:

equation

This looks strange and is unusual. We use instead

equation

Functions are never written without an argument to avoid confusion. So p(y) is often a probability function but p a probability. Further is f(y) a density function but f the symbol for degrees of freedom.

Sense Symbol
Rounding up function x = smallest integer x
Binomial distribution with parameters n, p B(n,p)
Chi‐squared (χ2)‐distribution with f degrees of freedom CS (f)
Determinant of the matrix A  |A|, det(A)
Diagonal matrix of order n D(a1. … . an)
Direct sum of the sets A and B A ⊕ B
Identity matrix of order n In
(n x m)‐matrix with only zeros 0nm
(n x m)‐matrix with only ones 1nm
Euclidian space of dimension n and 1 respectively (real axis), positive real ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Statistics for Finance

Statistics for Finance

Erik Lindström, Henrik Madsen, Jan Nygaard Nielsen
Statistics, 3E

Statistics, 3E

Robert A. Donnelly, Fatma Abdel-Raouf
Head First Statistics

Head First Statistics

Dawn Griffiths

Publisher Resources

ISBN: 9781119551522Purchase book