Tukey & Mandel Interactions

Description

A plant geneticist wanted to compare the growth characteristics of two inbred lines A and B with a hybrid combination H. The plants were grown at field stations at three latitudes, 25, 35, 45, and a number of measurements were taken. Unfortunately, the records were burned and the scientist only has the mean values from each station. The data suggest that genotype and latitude are not additive. All three lines appear to perform equally well at latitude 25. Line A grows shorter while line B and the hybrid H Grow taller as latitude increases. The hybrid shows evidence of `hybrid vigor', doing much better than either parent line at higher latitudes.

Reference

Milliken GA and Johnson DE (1989) Analysis of Messy Data vol. 2: Non-replicated Experiments. Chapman & Hall, London.

Data

ntukey.dat

geno lat y

create.s

create tukey data

SAS & S-Plus Data Analysis

ntukey.sas

ntukey.prt

Tukey and Mandel anova & interaction plots

mandel.s

Mandel margin plots

Book Figures

ntukey.s

C:9.3 Tukey interaction plot

ntukeyt.s

C:9.4 Tukey margin plots of raw data

ntukeym.s

C:9.5 Tukey margin plots of fitted model