Suppose that before the experiment, we decide to do all pairwise comparisons between an experimental diet...

  

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Suppose that before the experiment, we decide to do all pairwise comparisons between an experimental diet and a standard diet. For your convenience, we list the information needed for our calculation here: n = 35, v = 7,r=r₁==r₂ = 5, msE = 2 = 11.064 ₁. = 48.04, 2. = 38.04, 3. = 55.20, y4. = 54.06, 5. = 40.54, 76. = 46.84,ỹ7. = 80.06 Four experimental diets contained a basal compound diet: 1. corn and fish oil in a 1:1 ratio, 2. corn and linseed oil in a 1:1 ratio, 3. fish and sunflower oil in a 1:1 ratio, and 4. fish and linseed oil in a 1:1 ratio. Three standard diets are used. 5. basal compound diet (a standard diet), 6. live micro algae (a standard diet), and 7. live micro algae and Artemia nauplii. (1) For each of the Bonferroni method, the Scheffé method, the Tukey method, and the Dunnett method, state if it can be used and explain why it can or can't be used. (2) Find the contrast coefficients of the contrast for the difference of effects between diet 4 (an experimental diet) and diet 5 (a standard diet). Then find the corresponding least squares estimated and the estimated standard error. Find 95% confidence interval of the contrast from (2) without methods of multiple comparison and with all methods of multiple comparisons identified from (1). You can directly use the least squares estimated and the estimated standard error obtained from (2). (4) (3) - State your conclusions. Your conclusions should include the comments on the length of confidence intervals from (3) and if there are different effects between diet 4 and diet 5. Suppose that before the experiment, we decide to do all pairwise comparisons between an experimental diet and a standard diet. For your convenience, we list the information needed for our calculation here: n = 35, v = 7,r=r₁==r₂ = 5, msE = 2 = 11.064 ₁. = 48.04, 2. = 38.04, 3. = 55.20, y4. = 54.06, 5. = 40.54, 76. = 46.84,ỹ7. = 80.06 Four experimental diets contained a basal compound diet: 1. corn and fish oil in a 1:1 ratio, 2. corn and linseed oil in a 1:1 ratio, 3. fish and sunflower oil in a 1:1 ratio, and 4. fish and linseed oil in a 1:1 ratio. Three standard diets are used. 5. basal compound diet (a standard diet), 6. live micro algae (a standard diet), and 7. live micro algae and Artemia nauplii. (1) For each of the Bonferroni method, the Scheffé method, the Tukey method, and the Dunnett method, state if it can be used and explain why it can or can't be used. (2) Find the contrast coefficients of the contrast for the difference of effects between diet 4 (an experimental diet) and diet 5 (a standard diet). Then find the corresponding least squares estimated and the estimated standard error. Find 95% confidence interval of the contrast from (2) without methods of multiple comparison and with all methods of multiple comparisons identified from (1). You can directly use the least squares estimated and the estimated standard error obtained from (2). (4) (3) - State your conclusions. Your conclusions should include the comments on the length of confidence intervals from (3) and if there are different effects between diet 4 and diet 5.

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