Re: Analysis of a time series of categorical data

2001-05-04 Thread Rich Ulrich

On 3 May 2001 09:46:12 -0700, [EMAIL PROTECTED] (R. Mark Sharp; Ext.
476) wrote:

 If there is a better venue for this question, please advise me.

 - an epidemiology mailing list?
[ snip, much detail ] 
  Time point 1Time point 2Time point 3Time point 4  Hosts
  Inf  Not-InfInf  Not-InfInf  Not-InfInf  Not-Inf  Tested
 
 G1-S11  14   11  4   11 1   13 2   57
 G1-S27   8   12  3   14 2   15 8   69
 G1-S31  246 18815915   95
 
 G2-S43  12   12  4   10 4   14 2   61
 G2-S55  105  68 7   1114   57
 G2-S62  26   12 12   1116   1412  105
 
 The questions are how can group 1 (G1) be compare to group 2 (G2) and 
 how can subgroups be compared. I maintain that the heterogeneity 
 within each group does not prevent pooling of the subgroup data 
 within each group, because the groupings were made a priori based on 
 genetic similarity.

Mostly, heterogeneity prevents pooling.  
What's an average supposed to mean?

Only if the Ns represent naturally-occurring proportions, 
and so does your hypothesis, then you MIGHT want to
analyze the numbers that way.

How much do you know about the speed of expected onset,
and offset of the disease?  If this were real, It looks to me like you
would want special software.  Or special evaluation of a likelihood 
function.  

I can put the hypothesis in simple  ANOVA terms, comparing species
(S).  Then, the within-Variability of G1 and G2 -- which is big --
would be used to test the difference Between:  according to some
parameter.   Would that be an estimate of maximum number afflicted?

-- 
Rich Ulrich, [EMAIL PROTECTED]
http://www.pitt.edu/~wpilib/index.html


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Analysis of a time series of categorical data

2001-05-03 Thread R. Mark Sharp; Ext. 476

If there is a better venue for this question, please advise me.

I am looking for methods to analyze categorical data similar to that 
shown below. If the results were quantitative, I believe that an 
analysis of covariance would be appropriate. However, with 
categorical data and relatively small samples, I am at a loss. Any 
help would be appreciated.

The purpose of the experiment was to discover whether or not two 
groups of infectious organisms differ in there ability to infect a 
host over time. The two genetically different groups of infectious 
organisms (G1 and G2) are each subdivided into three subgroups based 
on smaller genetic differences. They are G1-S1, G1-S2, G1-S3, G2-S4, 
G2-S5, and G2-S6. The hosts must be sacrificed to discover which ones 
are infected. This results in counts of infected and non-infected 
hosts. (A critical biological point is that an infected host can 
become uninfected with time.) For each subgroup an unequal number of 
hosts are sampled at each of 4 time points such that the results look 
something like this for one type of host organism.

 Time point 1Time point 2Time point 3Time point 4  Hosts
 Inf  Not-InfInf  Not-InfInf  Not-InfInf  Not-Inf  Tested

G1-S11  14   11  4   11 1   13 2   57
G1-S27   8   12  3   14 2   15 8   69
G1-S31  246 18815915   95

G2-S43  12   12  4   10 4   14 2   61
G2-S55  105  68 7   1114   57
G2-S62  26   12 12   1116   1412  105

The questions are how can group 1 (G1) be compare to group 2 (G2) and 
how can subgroups be compared. I maintain that the heterogeneity 
within each group does not prevent pooling of the subgroup data 
within each group, because the groupings were made a priori based on 
genetic similarity.
-- 
R. Mark Sharp, Ph.D.  [EMAIL PROTECTED]
Southwest Regional Primate Center Tel: 210-258-9476
Director of Biostatistics and Scientific ComputingFax: 210-258-9883
Southwest Foundation for Biomedical Research
P.O. Box 760549
7620 West Loop 410 at Military Drive
San Antonio, TX 78245-0549


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