# [R] MANOVA

Jorge Magalhaes root at predict.telepac.pt
Tue Jul 11 19:14:32 CEST 2000

```Hi

I need to compare the performance of two sludge inertization methods. For that i want make a manova Wilks test.

Description of the experiment:

After the calcination at different temperatures my calcinated sludge are submeted to the lixiviation test. In my tables i show the concentration of the some elements in the extract phase.

The results:

Method A (calcination at 1100 C)

Chromium	Nickel	Aluminum	Zinc
2.0	3.0	2.7	2.3
2.1	3.1	2.8	2.2
1.9	3.2	2.6	2.3
2.2	3.1	2.8	2.2

Method B (calcination at 1500 C)

Chromium	Nickel	Aluminum	Zinc
2.1	3.1	2.6	2.2
2.3	2.9	3.0	2.5
1.9	3.0	2.6	2.2
2.2	3.0	2.9	2.1
2.4	3.1	2.7	2.2
2.3	3.0	2.6	2.1
1.8	2.8	2.7	2.0

Assumptions:

lambda = |W|/(|W + B|)

W is the pooled cross product matrix
|W| is the determinant of W
B  is a matrix of pooled and weighted between-sample mean deviations
T the cross product matrix = W + B

Main Problem:

How i can compute lambda in R environment?

Have a nice day

Jorge

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