Higher order cross-over with ordinal response? [Nonparametrics]
Dear Shri,
I presume this is a 4-period crossover study with four treatments, right?
Response is ordinal since your values are ordered categories.
You are interested in the differences (or equivalence?) between the treatments a, b, c and d, right?
I myself hadn't any such complicated, not an every-day-analysis to do in my career, thanks God . It's therefore out of my feasibility to point you to the right statistical method.
But I have some tips for you (but only if my presumptions are fulfilled):
I presume this is a 4-period crossover study with four treatments, right?
Response is ordinal since your values are ordered categories.
You are interested in the differences (or equivalence?) between the treatments a, b, c and d, right?
I myself hadn't any such complicated, not an every-day-analysis to do in my career, thanks God . It's therefore out of my feasibility to point you to the right statistical method.
But I have some tips for you (but only if my presumptions are fulfilled):
- Treat your ordered categories (ranks) as metric (of course they are not ) and use them in the ordinary evaluation via parametric ANOVA. This is what Helmut has suggested in this thread regarding non-parametric evaluation of tmax. This will give a rough "feeling" for treatment differences.
- Read Chapter 6 "Analysis of Categorical Data" in
Byron Jones, Michael G. Kenward
"Design and Analysis of Cross-Over Trials"
CHAPMAN & HALL/CRC
Boca Raton, London New York Washington, D.C. (2003)
Second Edition
Read the paper
Ezzet, F. and Whitehead, J.
"A random effects model for ordinal response from a cross-over trial"
Statistics in Medicine 10, 901-907 (1991)
I'm not totally aware but it seems the keyword is "Logistic regression".
And last but not least with the keywords from the subject line of this post.
- Consult a statistician of your very confidence who has "The power to know" with such a data analysis and outsource this analysis .
—
Regards,
Detlew
Regards,
Detlew
Complete thread:
- help shri 2008-08-20 11:06
- n x k contingency table? Jaime_R 2008-08-20 12:03
- help ElMaestro 2008-08-20 12:29
- help martin 2008-08-20 12:58
- Higher order cross-over with ordinal response?d_labes 2010-06-30 16:16