Three diets for hamsters (labeled \"I\",\"II\",\"III\") were tested for differen

Question

Three diets for hamsters (labeled "I","II","III") were tested for differences in weight gain (measured as grams of increase) after a specified period of time. Six inbred laboratory lines (labeled "A","B","C", "D", "E", "F") were used to represent the responses of different genotypes to the various diets. The lines were treated as blocks and all three diets were assigned randomly within each block. The data consisted of a total of 18 observations. Both one-way ANOVA and two-way ANOVA models were fit to the data. Below are two different models of the data.

c. i. What does the interaction plot suggest about whether or not line and diet interact, and why is this so?

ii. What is the implication of your answer to part i. for the validity of the randomized complete block design model?

Explanation / Answer

C

i) interaction plot suggests that the 3 treatments are interacts to each other. as the line corresponds to the 3 treatments are intercets then we can comment that the teatments are interacts. But the all 3 treatments are not equal since all the 3 lines are not intersects in a point. here we can only comment that the intersecting two treatmemts are equal effect.

ii)

from the result of part (i) we can comment that the Hypothesis to the treatment is rejected.that treatment has significant effect.

Now if all the hypothesis to the block is rejected then randomized complete block design model is perfect. But if accepted then we can doubt the randomized complete block design model and can go for a Complete Randomized Design (CRD): (: replications of treatments are assigned completely at random to independent experimental subjects without regard to other subjects.)

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