A computer output for a Latin Square design to compare 3 treatments gave the fol

Question

A computer output for a Latin Square design to compare 3 treatments gave the following results: What is the Null Hypothesis? Do you recommend (to accept/not accept) the above Null Hypothesis. A turkey's test gave the following results: Tukey's Studentized Range (HSD) Test for variable: Y Alpha = 0.05, df = 2, MSE = 4494.778 Critical Value of Studentized Range = 8.331 Minimum Significant Difference = 322.46 Means with the small case letter are not significantly different. Then your conclusion is: (Circle your answer) The average response to treatments 1 and 2 is less than the response to treatment 3. The pairwise comparisons indicate a different between treatment 3 and each other treatment.

Explanation / Answer

a. Null hypothesis whether the treatments have equal means

b. In the given questions, we have F calculated > F2,2,0.05 = 19.0, we reject the null hypothesis

The above statement is true for rows and columns and different treatments

That means there is significant difference in samples and also treatments mean

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