Quantitative Genetics Practice Questions (Q6-6) - Agricultural Statistics

ICAR JRF Agricultural Statistics 29 Jun 2024Shift 1

MCQ (Single Correct) +4 −1

Consider the causal path diagram where $X$ is the dependent effect and $A, B, C, D$ are causes such that $X = A + B$ and $A = C + D$, with $A, B$ independent and $C, D$ independent. Consider the statements:

(A) $d_{XC} = d_{XA} \cdot d_{AC}$

(B) $p_{XC} = p_{XA} \cdot p_{AC}$

(C) $d_{XC} = d_{XA} + d_{AC}$

(D) $d_{XA} = d_{XC} + d_{XD}$

Choose the correct answer from the options given below:

In the above diagram, X is the dependent effect and A, B, C, D are the causes such that there is a chain system of cause and effect relationships in which X = A*B and in turn A = C+D. Note here that A and B are independent and so are C and D. Let o% be the (total) variance of X and let a3, be "the variance of X due to the influence of A" and likewise the variances are defined for the three independent causes viz, C and D & also B of the effect X. noting that X= A+B = C +D +B If path coefficient from an independent cause 8 to X is px = (Ga! 0x) and the degrees of determination of X by the causes A and B are denoted as dy.a = a and dyp = respectively such that their sum is one, and likewise the notations are similarly defined, then consider the following statements (A). dxc = dx dac (B). Pxc = Px.a PAC (C). dxc=dxa + dac (D). dxa=dx.c + dxp Choose the correct answer from the options given below (A), (B) and (C) only. (A), (B) and (D) only (A), (C) and (D) only.