bibdAOV
This file computes a balanced incomplete block design [BIBD] analysis of variance. A BIBD is a set X of v >= 2 elements called treatments and a collection of b > 0 subsets of X, called blocks, such that the following conditions are satisfied:
- each block consists of exactly k treatments, v > k > 0
- each treatment appears in exactly r blocks, r > 0
- each pair of treatments appear simultaneously in exactly l (lambda) blocks, l > 0.
A BIBD must satisfy [constraits]:
v*r = b*k = eu = Total number of experimental units for whole experiment
r*[k-1] = l*[v-1])
The Linear Model is:
x_ij = µ + a_i + b_j + e_ij
i = 1,...,v (treatments); j = 1,...,a (blocks); e_ij ~ N[0,var_e]
It needs to input the data matrix (size of matrix must be n-by-3: data=column 1, treatment=column 2, block=column 3), and significance level (default = 0.05).
The output is a detailed balanced incomplete block esign analysis of variance table.
Cite As
Antonio Trujillo-Ortiz (2024). bibdAOV (https://www.mathworks.com/matlabcentral/fileexchange/4047-bibdaov), MATLAB Central File Exchange. Retrieved .
MATLAB Release Compatibility
Platform Compatibility
Windows macOS LinuxCategories
Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Discover Live Editor
Create scripts with code, output, and formatted text in a single executable document.
Version | Published | Release Notes | |
---|---|---|---|
1.0.0.0 | It was added an appropriate format to cite this file. |