Y603 
Homepage

Y603 
Syllabus

Y603 
Lectures

Y603 
discussion

Y603 
practice

Y603 
Resources

Lectures

Lecture 1
Lecture 2
Lecture 3
Lecture 4
Lecture 5
Lecture 6
Lecture 7
Lecture 8
Lecture 9
Lecture 10
Lecture 11
Lecture 12
Lecture 13
Lecture 14
Lecture 15
Lecture 16
Lecture 17
Lecture 18
Lecture 19
Lecture 20
Lecture 21
Lecture 22
Lecture 23
Lecture 24
Lecture 25
Lecture 26
Lecture 27
Lecture 28
Lecture 29


Search for

 

Y603 Lectures Online

Lecture #7
 

1. Nonorthogonal Planned Comparisons

 

 

Other restrictions

 

Testing (p-1) contrasts with a control-group mean

 

Testing C contrasts

 

none

 

Dunnettís test

 

Dunn, Dunn- test

Holmís test

 

Unequal nís or

heterogeneous variances

 

Dunnettís test with

modifications

 

Dunn- test with Welch df

Holmís test with Welch df

 

2. Dunn (or Bonferroni t test), Dunn- Nonorthogonal Planned Comparisons

Dunn Procedure: Suitable for pair-wise as well as complex comparisons (or contrasts).
Does not require equal sample sizes.

Controls the type I error rate at the familywise (or experimentwise) level

It is based on the Bonferroni Inequality theorem and student t-distribution

Declares a contrast to be significant if it exceeds the MSD:

MSD= where critical value is obtained from Table E.14 (p.829)

 

SAS commands for carrying out the Dunn Procedure:

PROC GLM;

CLASS treat;

MODEL score=treat;

MEANS treat/BON ALPHA=.10;

Dunn- Procedure:

An improvement over the Dunn procedure

Does not require equal sample sizes

Controls the type I error rate at the familywise level

It is based on the Multiplicative inequality and the student t-distribution

Declares a contrast to be significant if it exceeds the MSD:

MSD= where critical value is obtained from Table E.15 (p.830-832)

SAS commands for carrying out the Dunn-Procedure:

PROC GLM;

CLASS treat;

MODEL score=treat;

MEANS treat/SIDAK ALPHA=.10;

 

3. Assignments:

(1) Review Section 4.4 in Kirk

(2) Do questions 17(a), 17(b), 18(a), and 18(b) of Chapter 4 in Kirk.

Please note the corrections needed for questions 17(b) and 18(b).

(3) Apply Dunn and Dunn- procedures to questions 2,3,4,5,7, and 8 from Chapter 5 in Kirk. For Dunn and Dunn- procedures, assume C=number of all pairwise comparisons.

(4) Preview Sections 4.3 and 4.4 in Kirk.

 



Comments: peng@indiana.edu
Dr. Peng's Home Page: Dr. Chao-Ying Joanne Peng
Copyright 1998, The Trustees of Indiana University