Question

Why will a design for a Graeco-Latin square of size 3 not work well?

Answer 1

Graeco-Latin square and Hyper-Graeco-Latin square designs, are a special type of comparative design.

There is a solitary factor of essential intrigue, ordinarily called the treatment factor, and a few annoyance factors.

For Latin square outlines there are 2 annoyance factors, for Graeco-Latin square plans there are 3 aggravation factors, and for Hyper-Graeco-Latin square outlines there are 4 irritation factors.

Graeco-Latin square is now and then alluded to as a couple of symmetrical Latin squares, since the square shaped by taking either all first or every single second organize will likewise be a Latin square.

From this thought there is a characteristic and helpful speculation to an arrangement of k commonly symmetrical Latin squares.

Latin Square Designs for 3-
Designs for 3-level factors	3-Level Factors X1 X2 X3 row blocking factor column blocking factor treatment factor 1 1 1 1 2 2 1 3 3 2 1 3 2 2 1 2 3 2 3 1 2 3 2 3 3 3 1

DISADVANTAGES::-

1.The quantity of levels of each blocking variable must equivalent the quantity of levels of the treatment factor.

2.The Latin square model expect that there are no associations between the blocking factors or between the treatment variable and the blocking variable.