Help with complex limma design
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@michael-imbeault-3593
Last seen 10.2 years ago
Hello, I want to analyze a recent Affymetrix Exon array dataset with the limma package; I imported values from APT and created and ExpressionSet with it, but the experiment's design is not the simplest and the user guide is not really helping - no real explanations of the 'how' to get there with the various presented use cases. It's 27 arrays, 3 time points, 3 sample sources, 3 treatments (see data frame below) - I'm interested in comparing 'mock' vs 'pos' and 'mock' vs 'neg' at all time points (24vs24, 48vs48, etc). The samples are paired; it's from the same blood donor, so i'd like to capture this effect in the data to improve p-values. I did a limma analysis using onechannelGUI (with great results) but it doesn't allow for complex designs (to capture the paired samples effect and improve p-values, increase power), so I have to do this manually. So far I tried design <- model.matrix(~Treatment*Time*Sample, data=targets) as I seen on the mailing list, where Treatment <- factor(targets$Treatment), etc. Data frame: Sample ID Treatment Time Sample 1 Mock 24h A 2 Neg 24h A 3 Pos 24h A 4 Mock 24h B 5 Neg 24h B 6 Pos 24h B 7 Mock 24h C 8 Neg 24h C 9 Pos 24h C 10 Mock 48h A 11 Neg 48h A 12 Pos 48h A 13 Mock 48h B 14 Neg 48h B 15 Pos 48h B 16 Mock 48h C 17 Neg 48h C 18 Pos 48h C 19 Mock 72h A 20 Neg 72h A 21 Pos 72h A 22 Mock 72h B 23 Neg 72h B 24 Pos 72h B 25 Mock 72h C 26 Neg 72h C 27 Pos 72h C Any help would be greatly appreciated, Michael [[alternative HTML version deleted]]
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@sunny-srivastava-3793
Last seen 10.2 years ago
Hi Michael, I am pretty sure the senior members of this group will have more to say on the design - but this is what I think is a solution to your problem (I may be wrong though :-( ) If I understand your design correctly: It looks like a split plot design with repeated measures. Mock, Neg and Pos are whole plot treatments with repeated measurements at times = 24h, 48h and 72h. The samples A, B, C are crossed across all treatments? If I am correct then I have the following question Do you think that there is no correlation between the measurements at the three different times?. If no, then I would try the something similar to section 8.2 or 11.4 (but in this case correlation would be between times) If yes, then this is what I would do (similar to the treatment in limmaUsersGuide() section 11.4 -there is just an added the extra block of sample - A,B,C) you can treat your design as a simple Randomized Block Design - with A, B and C as your blocks. The treatments are - (mock,24), (mock,48), (mock, 72) .. similarly 6 more treatments for the remaining neg and pos. In situations where I am interested in contrasts like yours, I prefer to a cell means model matrix rather than treatment effect model matrix. (but you can take your call - you just need to remember what are your coeffecients representing) ## I may be wrong here - but this is how I think the treatments are assigned in the d.f. treatments = factor(c(rep(c(1,4,7),3),rep(c(2,5,8),3),rep(c(3,6,9),3)),labels=c("m2 4","n24","p24","m48","n48","p48","m72","n72","p72")) ## construct the design matrix for the cell means anova model design <- model.matrix(~0+treatments) ## get the correlation with in a block ie a sample - this models the correlations structure in a particular block rho <- duplicateCorrelation(eset, design, block=pData(eset)$sample)$consensus fit1<- lmFit(eset, design, block=pData(eset)$sample, cor=rho) contrast.matrix <- makeContrasts(m24-n24, m24-p24, levels = design) ## constrats for the two comparsions that you mentioned fit2 <- contrasts.fit(fit1, contrast.matrix) fit3 <- eBayes(fit2) Hope this helps! Please correct me if I am wrong. This forum is a good way to re-learn experimental design and analysis. Thanks and Best regards, S. On Thu, Dec 17, 2009 at 2:38 AM, Michael Imbeault < michael.imbeault@sympatico.ca> wrote: > Hello, > > I want to analyze a recent Affymetrix Exon array dataset with the limma > package; I imported values from APT and created and ExpressionSet with > it, but the experiment's design is not the simplest and the user guide > is not really helping - no real explanations of the 'how' to get there > with the various presented use cases. > > It's 27 arrays, 3 time points, 3 sample sources, 3 treatments (see data > frame below) - I'm interested in comparing 'mock' vs 'pos' and 'mock' vs > 'neg' at all time points (24vs24, 48vs48, etc). The samples are paired; > it's from the same blood donor, so i'd like to capture this effect in > the data to improve p-values. I did a limma analysis using onechannelGUI > (with great results) but it doesn't allow for complex designs (to > capture the paired samples effect and improve p-values, increase power), > so I have to do this manually. > > So far I tried design <- model.matrix(~Treatment*Time*Sample, > data=targets) as I seen on the mailing list, where Treatment <- > factor(targets$Treatment), etc. > > Data frame: > > Sample ID Treatment Time Sample > 1 Mock 24h A > 2 Neg 24h A > 3 Pos 24h A > 4 Mock 24h B > 5 Neg 24h B > 6 Pos 24h B > 7 Mock 24h C > 8 Neg 24h C > 9 Pos 24h C > 10 Mock 48h A > 11 Neg 48h A > 12 Pos 48h A > 13 Mock 48h B > 14 Neg 48h B > 15 Pos 48h B > 16 Mock 48h C > 17 Neg 48h C > 18 Pos 48h C > 19 Mock 72h A > 20 Neg 72h A > 21 Pos 72h A > 22 Mock 72h B > 23 Neg 72h B > 24 Pos 72h B > 25 Mock 72h C > 26 Neg 72h C > 27 Pos 72h C > > > Any help would be greatly appreciated, > Michael > > [[alternative HTML version deleted]] > > _______________________________________________ > Bioconductor mailing list > Bioconductor@stat.math.ethz.ch > https://stat.ethz.ch/mailman/listinfo/bioconductor > Search the archives: > http://news.gmane.org/gmane.science.biology.informatics.conductor > [[alternative HTML version deleted]]
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