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The Bulging Rule: How to Straighten Out Relationships (Mosteller & Tukey, 1977)

The Bulging Rule: How to Straighten Out Relationships (Mosteller & Tukey, 1977). If you see this shape, use:. p >1 & q >1 . p < 1 & q > 1 . Transform x to x p &/or y to y q , where p & q are determined by the shape you see in the initial plot of y vs. x, for y>0 & x>0.

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The Bulging Rule: How to Straighten Out Relationships (Mosteller & Tukey, 1977)

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  1. The Bulging Rule: How to Straighten Out Relationships(Mosteller & Tukey, 1977) If you see this shape, use: p >1 & q >1 p < 1 & q > 1 Transform x to xp &/or y to yq , where p & q are determined by the shape you see in the initial plot of y vs. x, for y>0 & x>0. That is, these plots refer to what you see in the 1st quadrant after adding appropriate constants to the original x and y so that they are both positive. (If it’s multiple regression, transform x only.) p >1 & q < 1 p <1 & q < 1

  2. Transform y “up” the power ladder “x up” “x down” Transform y “down” the power ladder • Go Up the Ladder By Taking a Power Greater Than 1 • Down the Ladder with a Power Less Than 1

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