PreZon: Prediction by Zone and Its Application to Egg Productivity in Chickens

Table 1

Rank and score variables for unknown set 𝐴 and known set 𝐵. It shows the rank and score variables for the unknown set 𝐴 and known set 𝐵. The ID column shows the identity object. Each of which contains the scores for 𝑚 variables, 𝑥¹,𝑥²,…,𝑥^𝑝,…,𝑥^𝑚, where 1≤𝑝≤𝑚, and the known dataset has a validation variable 𝐸. The score values for objects 𝑖=1,2,…,𝑛_𝐴 in the unknown dataset 𝐴 can then be denoted by 𝐴𝑋_𝑖={𝐴𝑥^1𝑖,𝐴𝑥^2𝑖,…,𝐴𝑥^𝑚𝑖}, and the rank values can be denoted by 𝐴𝑆_𝑖={𝐴𝑠^1𝑖,𝐴𝑠^2𝑖,…,𝐴𝑠^𝑚𝑖}. The score values for object 𝑗=1,2,…,𝑛_𝐵 in the known dataset 𝐵 can then be denoted by 𝐵𝑋_𝑗={𝐵𝑥^1𝑗,𝐵𝑥^2𝑗,…,𝐵𝑥^𝑚𝑗}, and the rank values can be denoted by 𝐵𝑆_𝑗={𝐵𝑠^1𝑗,𝐵𝑠^2𝑗,…,𝐵𝑠^𝑚𝑗}.

(a) Unknown set A.

ID	𝑥^1	𝑠^1	𝑥^2	𝑠^2	⋯	𝑥^𝑝	𝑠^𝑝	⋯	𝑥^𝑚	𝑠^𝑚
𝑖=1	𝐴𝑥^11	𝐴𝑠^11	𝐴𝑥^21	𝐴𝑠^21		𝐴𝑥^𝑝1	𝐴𝑠^𝑝1		𝐴𝑥^𝑚1	𝐴𝑠^𝑚1
𝑖=2	𝐴𝑥^12	𝐴𝑠^12	𝐴𝑥^22	𝐴𝑠^22		𝐴𝑥^𝑝2	𝐴𝑠^𝑝2		𝐴𝑥^𝑚2	𝐴𝑠^𝑚2
𝑖=𝑖	𝐴𝑥^1𝑖	𝐴𝑠^1𝑖	𝐴𝑥^2𝑖	𝐴𝑠^2𝑖		𝐴𝑥^𝑝𝑖	𝐴𝑠^𝑝𝑖		𝐴𝑥^𝑚𝑖	𝐴𝑠^𝑚𝑖
⋮
𝑖=𝑛𝐴	𝐴𝑥^1𝑛𝐴	𝐴𝑠^1𝑛𝐴	𝐴𝑥^2𝑛𝐴	𝐴𝑠^2𝑛𝐴		𝐴𝑥^𝑝𝑛𝐴	𝐴𝑠^𝑝𝑛𝐴		𝐴𝑥^𝑚𝑛𝐴	𝐴𝑠^𝑚𝑛𝐴

(b) known set 𝐵.

ID	𝐸	𝑥^1	𝑠^1	𝑥^2	𝑠^2	⋯	𝑥^𝑝	𝑠^𝑝	⋯	𝑥^𝑚	𝑠^𝑚
𝑗=1	𝐸1	𝐵𝑥^11	𝐵𝑠^11	𝐵𝑥^21	𝐵𝑠^21		𝐵𝑥^𝑝1	𝐵𝑠^𝑝1		𝐵𝑥^𝑚1	𝐵𝑠^𝑚1
𝑗=2	𝐸2	𝐵𝑥^12	𝐵𝑠^12	𝐵𝑥^22	𝐵𝑠^22		𝐵𝑥^𝑝2	𝐵𝑠^𝑝2		𝐵𝑥^𝑚2	𝐵𝑠^𝑚2
𝑗=𝑗	𝐸𝑗	𝐵𝑥^1𝑖	𝐵𝑠^1𝑖	𝐵𝑥^2𝑖	𝐵𝑠^21		𝐵𝑥^𝑝𝑖	𝐵𝑠^𝑝𝑖		𝐵𝑥^𝑚𝑖	𝐵𝑠^𝑚𝑖
⋮
𝑗=𝑛𝐵	𝐸𝑛𝐵	𝐵𝑥^1𝑛𝐵	𝐵𝑠^1𝑛𝐵	𝐵𝑥^2𝑛𝐵	𝐵𝑠^2𝑛𝐵		𝐵𝑥^𝑝𝑛𝐵	𝐵𝑠^𝑝𝑛𝐵		𝐵𝑥^𝑚𝑛𝐵	𝐵𝑠^𝑚𝑛𝐵