6533b85afe1ef96bd12b9f90

RESEARCH PRODUCT

Exploring regression structure with graphics

Michael LavineSanford WeisbergJosé D. BermúdezNate WetzelJ. De La HorraFrank CritchleyKer Chau LiR. Dennis CookSally C. MortonR. E. MccullochX. ShenS. Zacks

subject

Statistics and ProbabilityPolynomial regressionEconometricsSufficient dimension reductionPartial regression plotRegression analysisCross-sectional regressionConditional probability distributionStatistics Probability and UncertaintyMarginal distributionSegmented regressionMathematics

description

We investigate the extent to which it may be possible to carry out a regression analysis using graphics alone, an idea that we refer to asgraphical regression. The limitations of this idea are explored. It is shown that graphical regression is theoretically possible with essentially no constraints on the conditional distribution of the response given the predictors, but with some conditions on marginal distribution of the predictors. Dimension reduction subspaces and added variable plots play a central role in the development. The possibility of useful methodology is explored through two examples.

yearjournalcountryeditionlanguage
1993-12-01Test
https://doi.org/10.1007/bf02562669