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.

E.

i. State the null hypothesis about the factor diet that is tested in the Model 1 ANOVA table.

ii. If you reject this null hypothesis, what is the next step in the analysis of the effect of diet on gain?   

Explanation / Answer

1)

From Analysis

H0: all three means of diets are equal

H1: Atleast one mean is not same

alpha:10%

F cal=3.022

Conclusion: P value=0.0789

P < 0.10 we reject the H0

Hence The results are significant

ii) Here we reject the null hypothesis. That means Now we need to test which variable is significantly differ. For this we need to apply Post hoc test(Tukey test)

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