# [BioC] multtest and Cox regression

James W. MacDonald jmacdon at med.umich.edu
Sun Apr 17 23:33:27 CEST 2005

```Benjamin Haibe-Kains wrote:
> Hi,
>
> I would want to perform a filtering of my genes according to the
> p-values of univariate Cox regression (so, if I have 100 genes, I
> compute 100 Cox regression with only one gene at a time). Because I
> perform multiple statistical test, I would want to use a multiple
> testing procedure to get adjusted p-values.
>
> I have seen that the MTP function from the multtest package does exactly
> what I need. When I used this function with the Cox parameter
>
> r <- MTP(X=data, Y=Surv(time, event), test="coxph.YvsXZ", B=100)
>
> and I look the unadjusted p-values (r at rawp), they do not correspond to
> the univariate p-values returns by the summary of the coxph function
> (p.value <- 1 - pchisq(z^2, df=1) where z is the z-statistic). Actually,
> when I look at the code, the computed statistic is identical but the
> distribution against this statistic is compared is not the same (in the
> MTP function, this function is estimated by bootstrap, it's not the
> chisq). I don't understand this fact.
>
> Can anyone give me further details about that ?

With microarray data it is difficult if not impossible to determine the
correct null distribution for each of the genes on a given chip. Given
this fact, you really have two choices; either assume that the null is
what you would expect (e.g., use a t-distribution for t-tests, an
F-distribution for F-tests, a chisquare distribution for a Cox model),
and take the chance that you are wrong for some (most, all?) of your
genes, or don't assume anything about the null and estimate it using a
bootstrap or permutation distribution. There are pluses and minuses to
each approach, and you have to decide which method is applicable to your
situation.

The multtest package is designed to use bootstrap or permutation null
distributions. If you simply want to rely on the chi-square distribution

Best,

Jim

>
> Best,
>

--
James W. MacDonald
University of Michigan
Affymetrix and cDNA Microarray Core
1500 E Medical Center Drive
Ann Arbor MI 48109
734-647-5623

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