14 mult2way1

14 mult2way1 - Subsequent Inferences for two-way ANOVA the...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Subsequent Inferences for two-way ANOVA the kinds of inferences to be made after the F tests of a two-way ANOVA depend on the results if none of the F tests lead to rejection of the null hypothesis, then you have concluded that none of the means are different and no further comparisons are required Significant interactions if it has been determined that the interactions are significant, then the effect of each factor depends on the level of the other factor another way of saying this is that each cell of the table has a possibly different mean ij there are IJ such means and r = IJ 2 ! possible comparisons among them to control the overall type 1 error rate at , the Bonferroni correction uses * = /r for each comparison confidence intervals have the form y ij.- y kl. t IJ ( K- 1) * / 2 MSE q 2 /K tests of H : ij = kl versus H a : ij 6 = kl are based on the statistic t ij,kl = y ij.- y kl. MSE q 2 /K the null hypothesis is rejected when P < * or when | t ij,kl | > t IJ ( K- 1) * / 2 it is often easiest to rearrange this expression and reject H when | y ij.- y kl. | > t IJ ( K- 1) * / 2 MSE q 2 /K the right hand side remains constant so it is just a matter of looking at the differences between any two cell means Example: The following data are the lifetimes (in hours) of four different designs of an airplane wing subjected to three different kinds of contin- uous vibrations....
View Full Document

This note was uploaded on 03/27/2012 for the course ECON 2280 taught by Professor Daniel during the Spring '12 term at Dalhousie.

Page1 / 11

14 mult2way1 - Subsequent Inferences for two-way ANOVA the...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online