One-factor-at-a-time test matrix

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SUMMARY

The discussion focuses on converting the function Z(X,Y) = (X^2 + Y^2) * (P(X) + Q(Y)) into a one-factor-at-a-time test matrix. The user attempts to express Z in terms of its components but struggles with the notation and clarity of their solution. Key insights include the relationship between independent variables X and Y and the measurement of Z, emphasizing the need for clarity in mathematical expressions. The conversation highlights the importance of understanding the underlying concepts of one-factor-at-a-time testing in experimental design.

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Homework Statement


If Z(X,Y) = (X^2+Y^2)*(P(X) + Q(Y)), how to convert it to one-factor-at-a-time test matrix ? Write down the relevant formula and give a brief explanation.

Homework Equations


below: in my attempt

The Attempt at a Solution


Z(X1,X4)
=P(X1)*Q(X4)
=P(X1)*Q(X3)/Q(X3)*P(X3)/P(X3)*Q(X4)
=[P(X1)*Q(X3)]*[P(X3)*Q(X4)]/[P(X3)*Q(X3)]
=Z(X1,X3)*Z(X3,X4)/Z(X3,X3)

Z(X1,X4)
=Z(X1,X3)+Z(X3,X4)-Z(X3,X3)

But I have no idea how to deal with the question... anyone help me please??
thank you
 
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Did you google the concept ?

If X and Y are your independent variables and Z is measured, why not just vary x and y ?

I cannot even read your attempt: can't for the life of me understand the = signs
 
because he is copying directly... Its not even his attempt
 

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