How to define contrasts for expression changes over time
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j.baldauf • 0
@jbaldauf-10821
Last seen 6.2 years ago

Hi again,

I have an RNA-seq experiment with samples of different genotypes and 3 different developmental stages. For each sample I determined a "genostage" factor

genotype <- rep(c("WT","Geno1","Geno2",<other genotypes>), each = 12)
dev <- rep(c("stage1","stage2", <other stages>), each = 4)
genostage <- factor(paste(genotype, dev, sep = "_"))
design <- model.matrix(~0+genostage)

Now, I would like to define the contrast to determine changes in expression over time (developmental stage) between two genotypes. According to examples in the limma manual, I would define the contrast like that:

(genostageG1_stage2-genostageG1_stage1)-(genostageG2_stage2-genostageG2_stage1)

But then, I was wondering how I would interpret the results of the following contrast, and whether it makes sense at all?

(genostageG1_stage2-genostageG2_stage2)-(genostageG1_stage1-genostageG2_stage1)

Could you please shortly explain me the difference between these two contrast statements?

Thank you very much.

limma • 1.2k views
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Aaron Lun ★ 28k
@alun
Last seen 6 hours ago
The city by the bay

There is no difference between these two contrasts. One is just an arithmetic rearrangement of the other.

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j.baldauf • 0
@jbaldauf-10821
Last seen 6.2 years ago

Thanks for your response. If it is just an arithmetic rearrangement, shouldn't there be a "+" somewhere?

Irrespectively, my results show the same number of differentially expressed genes for both contrasts, so in total 203 genes show expression changes over development between the 2 genotypes.

But, how do I interpret the "1" and "-1" genes in each contrast?

For case 1: I would say, that 90 genes are preferentially regulated within G1 between the two developmental stages, and 113 genes are preferentially regulated in G2 between the two developmental stages.

For case 2: I would say, that 113 genes are preferentially regulated within developmental stage 2 between G1 and G2, and 90 genes are preferentially regulated within developmental stage 1 between G1 and G2.

Aren't these two totally different statements?

(genostageG1_stage2-genostageG1_stage1)-(genostageG2_stage2-genostageG2_stage1)
-1                                      113
0                                     28390
1                                        90
(genostageG1_stage2-genostageG2_stage2)-(genostageG1_stage1-genostageG2_stage1)
-1                                      90
0                                    28390
1                                      113
 
 

 

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I don't know how you managed to flip the numbers around, as the contrasts are mathematically identical.

Anyway, I'll consider your first case. The "1" genes are those where the log-fold change between stages for G1 is greater than the log-fold change between stages for G2. The "-1" genes are those where the log-fold change between stages for G1 is less than the log-fold change between stages for G2. This does not make any statement about whether the gene is DE or not between stages for either G1 or G2. For all limma knows, a "1" gene might be significant because it is upregulated in G1 and not DE in G2; or it is not DE in G1 and downregulated in G2; or it is upregulated in both G1 and G2, but to a greater extent in G1. As Jenny said, you have to look at the individual log-fold changes between stages for G1 and G2 to interpret this in a meaningful way.

The second case is similar. The "1" genes are those where the log-fold change between G1/G2 in stage 1 is greater than the log-fold change between G1/G2 in stage 2. The "-1" genes are... well, you get the drift.

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For an interaction term: (A - B) - (C - D) == A - B - C + D == (A - C) - (B - D)

It took me years to really understand what the direction of change means, and in the end I ignore direction of change because it doesn't tell you anything about either individual fold change's position relative to 0 (no change). See slides 18 and 19 from this presentation: https://wiki.illinois.edu/wiki/download/attachments/604996053/VennDiagrams_11nov16.pptx?version=1&modificationDate=1478815014000&api=v2

 

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