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

1 / 2

# The Bulging Rule: How to Straighten Out Relationships (Mosteller & Tukey, 1977) - PowerPoint PPT Presentation

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.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

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

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### 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

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