Suppose that a drug company wishes to test the effects of five new compounds on the growth rate of white rats. It is possible that rats within the same litter may have similar response. Hence blocks are defined as litters. Twenty-five rats within each of 4 litters are chosen at random from a large group of rats, and 5 rats of each litter are placed in one pen to be given one of the five treatments. Body weight gains (g/day/animal) on the pen basis are given in the following table after 3 months of feeding the compound. a. Does any difference exist among litters?
Suppose that a drug company wishes to test the effects of five new compounds on the growth rate of white rats. It is possible that rats within the same litter may have similar response. Hence blocks are defined as litters. Twenty-five rats within each of 4 litters are chosen at random from a large group of rats, and 5 rats of each litter are placed in one pen to be given one of the five treatments. Body weight gains (g/day/animal) on the pen basis are given in the following table after 3 months of feeding the compound. a. Does any difference exist among litters?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:Suppose that a drug company wishes to test the effects of five new compounds on the growth rate of
white rats. It is possible that rats within the same litter may have similar response. Hence blocks are
defined as litters. Twenty-five rats within each of 4 litters are chosen at random from a large group of
rats, and 5 rats of each litter are placed in one pen to be given one of the five treatments. Body weight
gains (g/day/animal) on the pen basis are given in the following table after 3 months of feeding the
compound.
a. Does any difference exist among litters?
b. Do all the compounds have the same effect on body weight gains?
Compound
Litter
...
2 3
1
4
5
1.
1.45
1.08
1.72
1.04
0.98
1.39
1.21
1.45
0.79
1.07
0.86
0.99
1.42
1.01
1.32
1.04
0.76 0.97
1.05
0.85
4.
T
в I U A
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