9) A randomized experiment measured weight gain (in grams) of makes rats under s
ID: 3067957 • Letter: 9
Question
9) A randomized experiment measured weight gain (in grams) of makes rats under six diets varying by source of protein (beef, cereal, pork) and level of protein (low, high). Ten rats were assigned to each diet (a) What kind of study was performed? (Single factor, multi-factor, or block) (b) Identify the response in the study (c) Identify the factor(s) and block if present. (d) Identify the factor levels. (e) Identify the treatments. (f) Identify the experimental units and state how many if known. (g) Outline the design.Explanation / Answer
a) Multifactor design
b) weight gains (in grams) is response Variable.
c) Factors are source of protein and level of protein.
d) Factor A (Source of protein) :-three levels
1) beef 2) cereal 3) pork
Factor B ( Level of protein) :- two levels
1) Low and 2) High
e) Treatment is source of protein ( beef, cereal, pork) at two levels
f) Experimental units are weight (in grams) of rats.
g) Outline is check:
Factor A with d.f = a-1
Factor B with d.f = b-1
AB interacation with d.f = d.f A*d.f B
Within with N- ab
Total = N-1
S.S Factor A
S.S Factor B
S.S interacation AB
S.S within
S.S Total
MS(A) = S.S(A)/ d.f (A)
M.S(B)= S.S (B)/ d.f (B)
M.S(AB)= S.S(AB) /d.f (AB)
M.S(Within)= S.S(within)/ d.f (within)
F= MS(A)/ MS(Within)
F= M.S(B)/ M.S (Within)
F= M.S(A.B)/ M.S (Within)
Where S.S is sun of squares
M.S is mean sum of squares
D.f is degree of freedom.
Note: I have done the first question please repost the rest. Thank you .
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