I'm not entirely confident about this, but my best guess is that B) False is the correct answer. I don't think the sum of variable pairs being zero is a sufficient condition for an orthogonal design.
Okay, I think I've got this. If all the variable pairs sum to zero, that means there's no correlation between them, which is the definition of an orthogonal design. I'll go with A) True on this one.
I'm a bit confused by this question. I know orthogonal design has to do with independent variables, but I'm not sure if the sum of variable pairs being zero is the right criteria. I'll have to review my notes.
I'm pretty sure this is true. If all the variable pairs sum to zero, that means they are independent, which is the key property of an orthogonal design.
Dortha
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