In the book Analysis of Longitudinal Data, 2nd ed., (2002, Oxford University Press), by Diggle, Heagerty,...

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In the book Analysis of Longitudinal Data, 2nd ed.,(2002, Oxford University Press), by Diggle, Heagerty, Liang,andZeger, the authors analyzed the effects of three diets on theprotein content of cow’s milk. The data shown here were collectedafter one week and include 25 cows on the barley diet and 27 cowseach on the other two diets:
diet Protein content of cow's milk.
Barley 3.63 3.24 3.98 3.66 4.34 4.36 4.17 4.4 3.4 3.75 4.2 4.02 4.02 3.9 3.81 3.62 3.66 4.44 4.23 3.82 3.53 4.47 3.93 3.27 3.3
Barley+Lupins 3.38 3.8 3.8 4.59 4.07 4.32 3.56 3.67 4.15 3.51 4.2 4.12 3.52 4.08 4.02 3.18 4.11 3.27 3.27 3.97 3.31 4.12 3.92 3.78 4 4.37 3.79
Lupins 3.69 4.2 4.2 3.13 3.73 4.32 3.04 3.84 3.98 4.18 4.2 4.1 3.25 3.34 3.5 4.13 3.21 3.9 3.5 4.1 2.69 4.3 4.06 3.88 4 3.67 4.27
(a) What is the value of LSD for Barley+Lupins diet and Lupinsdiet? Use ?=0.05.
Round your answer to three decimal places (e.g. 98.765).
(c) What is the absolute value of difference between meanprotein content after Barley+Lupins diet and Lupins diet?
Round your answer to three decimal places (e.g. 98.765).
(d) Estimate the standard error for comparing the means usingthe graphical method. Use minimum sample size.
Round your answer to three decimal places (e.g. 98.765).

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Null and AlternativeHypothesisH0 Barley BarleyLupins LupinsH1 Not all Means are equalAlpha 005N 79Degress ofFreedomdfBetween a 1 31 2dfWithin Na 793 See Answer

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diet	Protein content of cow's milk.
Barley	3.63	3.24	3.98	3.66	4.34	4.36	4.17	4.4	3.4	3.75	4.2	4.02	4.02	3.9	3.81	3.62	3.66	4.44	4.23	3.82	3.53	4.47	3.93	3.27	3.3
Barley+Lupins	3.38	3.8	3.8	4.59	4.07	4.32	3.56	3.67	4.15	3.51	4.2	4.12	3.52	4.08	4.02	3.18	4.11	3.27	3.27	3.97	3.31	4.12	3.92	3.78	4	4.37	3.79
Lupins	3.69	4.2	4.2	3.13	3.73	4.32	3.04	3.84	3.98	4.18	4.2	4.1	3.25	3.34	3.5	4.13	3.21	3.9	3.5	4.1	2.69	4.3	4.06	3.88	4	3.67	4.27