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The Bulging Rule: How to Straighten Out Relationships (Mosteller & Tukey, 1977) Transform x to x p &/or y to y q, where p & q are determined by the shape.

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Presentation on theme: "The Bulging Rule: How to Straighten Out Relationships (Mosteller & Tukey, 1977) Transform x to x p &/or y to y q, where p & q are determined by the shape."— Presentation transcript:

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2 The Bulging Rule: How to Straighten Out Relationships (Mosteller & Tukey, 1977) 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. That is, these plots refer to what you see in the 1 st 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 p <1 & q < 1 If you see this shape, use: p >1 & q < 1

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


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