com.imsl.test.example.stat

Class ANOVAFactorialEx1

java.lang.Object

com.imsl.test.example.stat.ANOVAFactorialEx1

public class ANOVAFactorialEx1
extends Object

Performs a two-way factorial analysis of variance.

A two-way analysis of variance is performed with balanced data discussed by Snedecor and Cochran (1967, Table 12.5.1, p. 347). The responses are the weight gains (in grams) of rats that were fed diets varying in the source (A) and level (B) of protein. The model is

$$y_{ijk} = \mu + \alpha _i + \beta _j + \gamma_{ij} + \varepsilon_{ijk} \,\,\,\,\, i = 1,\;2;\;j = 1,\;2,\;3;\;k = 1,\;2,\;...\,,\;10$$

where

$$\sum\limits_{i = 1}^2 {\alpha _i } = 0;\sum\limits_{j = 1}^3 {\beta _j } = 0;\sum\limits_{i = 1}^2 {\gamma _{ij} } = 0 \,\,\,\, {\rm{for}}\;j = 1,\;2,\;3;\;$$

and

$$\sum\limits_{j = 1}^3 {\gamma _{ij} } = 0 \,\,\,\, {\rm{for}}\;j = 1,\;2$$

The first responses in each cell in the two-way layout are given in the following table:

	Protein Source (A)
Protein Level (B)	Beef	Cereal	Pork
High	73, 102, 118, 104, 81, 107, 100, 87, 117, 111	98, 74, 56, 111, 95, 88, 82, 77, 86, 92	94, 79, 96, 98, 102, 102, 108, 91, 120, 105
Low	90, 76, 90, 64, 86, 51, 72, 90, 95, 78	107, 95, 97, 80, 98, 74, 74, 67, 89, 58	49, 82, 73, 86, 81, 97, 106, 70, 61, 82

See Also:

Code, Output

Constructor Summary

Constructors

Constructor and Description
ANOVAFactorialEx1()

Method Summary

Modifier and Type	Method and Description
static void	main(String[] args)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

ANOVAFactorialEx1

public ANOVAFactorialEx1()

Method Detail

main

public static void main(String[] args)