Research Article

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

Table 3

Order of the unknown dataset 𝐀 . 3(a) shows that the rank in the unknown dataset is transformed into a known dataset by the rank transformation, (1). The transferred ranks are { 𝐀 𝐬 𝐭 𝟏 𝐢 , 𝐀 𝐬 𝐭 𝟐 𝐢 , , 𝐀 𝐬 𝐭 𝐦 𝐢 } . The score in the unknown dataset is transformed into a known dataset by the score transformation, Equation (1). The transferred scores are { 𝐀 𝐱 𝐭 𝟏 𝐢 , 𝐀 𝐱 𝐭 𝟐 𝐢 , , 𝐀 𝐱 𝐭 𝐦 𝐢 } . 3(b) is order of the unknown dataset. ID′′ is an identity object but its order is dependent to the order of the transferred rank.
(a) The transferred unknown dataset A.

I D 𝑥 𝑡 𝑝 𝑠 𝑡 𝑝

𝑖 = 1 𝐴 𝑥 𝑡 𝑝 1 𝐴 𝑠 𝑡 𝑝 1
𝑖 = 2 𝐴 𝑥 𝑡 𝑝 2 𝐴 𝑠 𝑡 𝑝 2
𝑖 = 𝑖 𝐴 𝑥 𝑡 𝑝 𝑖 𝐴 𝑠 𝑡 𝑝 𝑖
𝑖 = 𝑛 𝐴 𝐴 𝑥 𝑡 𝑝 𝑛 𝐴 𝐴 𝑠 𝑡 𝑝 𝑛 𝐴

(b) The order of the unknown dataset A.

I D 𝑥 𝑡 𝑝 𝑠 𝑡 𝑝

p1 𝐴 𝑥 𝑡 𝑝 𝑝 1 𝐴 𝑠 𝑡 𝑝 𝑝 1
p2 𝐴 𝑥 𝑡 𝑝 𝑝 2 𝐴 𝑠 𝑡 𝑝 𝑝 2
pi 𝐴 𝑥 𝑡 𝑝 𝑝 𝑖 𝐴 𝑠 𝑡 𝑝 𝑝 𝑖
𝑝 𝑛 𝐴 𝐴 𝑥 𝑡 𝑝 𝑝 𝑛 𝐴 𝐴 𝑠 𝑡 𝑝 𝑝 𝑛 𝐴