limma差异分析谁比谁不重要

文章目录

    • 准备数据
    • 没有比较矩阵
    • 用比较矩阵
    • 总结

新手在刚接触 limma包做差异分析的时候,会碰到很多教程,有的教程写的是 正常组比疾病组,有的是 疾病组比正常组,他们都是对的,只有你凌乱了。

其实无所谓,你要记住:如果normal比tumor是高表达,logfc是正的,那么tumor比normal就是低表达,logfc是负的。用的时候要搞清楚到底是谁比谁!

下面用一个例子说下limma的逻辑。

准备数据

这个数据一共17个样本,前7个是正常(normal)组,后10个是溃疡性结肠炎(uc)组。

rm(list = ls()) 
load(file = '../000files/step1-output.Rdata')

# 表达矩阵
exprSet[1:4,1:4] 
##        GSM901319 GSM901320 GSM901321 GSM901322
## IGLC1   13.98084  14.49569  14.01361  14.14011
## RPL41   14.44795  14.35745  14.46906  14.31751
## ND4     14.49569  14.23311  14.54316  14.46906
## EEF1A1  14.52687  14.39076  14.34238  14.27464

为了方便大家理解,现在我们先挑一个CXCL1这个基因,根据背景知识,这个基因在uc组绝壁是高表达!我们可以画个箱线图看一下:

tmp <- as.data.frame(t(exprSet["CXCL1",]))
tmp$type <- group_list

boxplot(CXCL1 ~ type, data = tmp)

limma差异分析谁比谁不重要_第1张图片

箱线图和我们的背景知识也是一致的。如果是UC比normal,那肯定是高表达,logFC应该是正的;如果是normal比UC,那肯定是低表达,logFC应该是负的。

limma做差异分析非常灵活,你可以用比较矩阵,也可以不用比较矩阵。

没有比较矩阵

多于两个分组的不要用这种方法。

定义下分组,这个分组和我们表达矩阵列名是对应的,前7个normal,后10个uc。

group_list <- c(rep('normal',7),rep('uc',10))
group_list
##  [1] "normal" "normal" "normal" "normal" "normal" "normal" "normal" "uc"    
##  [9] "uc"     "uc"     "uc"     "uc"     "uc"     "uc"     "uc"     "uc"    
## [17] "uc"

注意!这时候limma包默认是排序靠后的 vs 排序靠前的!

比如,现在我们的group_list还是字符串,这时候的默认顺序是 normal在前,uc在后,这时候你的设计矩阵design是这样的:

library(limma)

# 用不用factor()都不影响,必定是 靠后的 vs 靠前的
design <- model.matrix(~ group_list) # 这里 没有 0 哦!!
design
##    (Intercept) group_listuc
## 1            1            0
## 2            1            0
## 3            1            0
## 4            1            0
## 5            1            0
## 6            1            0
## 7            1            0
## 8            1            1
## 9            1            1
## 10           1            1
## 11           1            1
## 12           1            1
## 13           1            1
## 14           1            1
## 15           1            1
## 16           1            1
## 17           1            1
## attr(,"assign")
## [1] 0 1
## attr(,"contrasts")
## attr(,"contrasts")$group_list
## [1] "contr.treatment"

注意观察group_listuc那一列,这时候uc是1,normal是0,所以这种情况下继续往下做差异分析肯定是uc vs normal,CXCL1logFC绝壁是正的!

差异分析:

fit <- lmFit(exprSet, design)
fit <- eBayes(fit) 
allDiff <- topTable(fit, number = Inf) 
## Removing intercept from test coefficients

head(allDiff,12)
##               logFC   AveExpr         t      P.Value    adj.P.Val        B
## HMGCS2    -6.018195  8.483645 -23.68806 6.183283e-15 1.247415e-10 23.77686
## CHI3L1     6.532374  8.423055  22.34265 1.699896e-14 1.714685e-10 22.90827
## SLC26A2   -5.096618 10.384007 -21.30421 3.860702e-14 2.596194e-10 22.19093
## CLDN8     -6.408782  7.228457 -18.83007 3.197251e-13 1.612534e-09 20.29435
## S100A8     6.039988  8.849455  17.57688 1.029574e-12 4.154125e-09 19.21875
## CDC25B     1.703420  8.246338  16.73922 2.347422e-12 7.892815e-09 18.45069
## DPP10     -2.020786  3.617608 -16.36731 3.424769e-12 8.132674e-09 18.09612
## PDPN       2.821963  6.311157  16.31720 3.605676e-12 8.132674e-09 18.04767
## DPP10-AS1 -1.665377  4.529724 -16.21688 3.998717e-12 8.132674e-09 17.95022
## CFB        2.878172  8.304561  16.19818 4.076831e-12 8.132674e-09 17.93199
## CXCL1      4.418606  8.627389  16.11715 4.434391e-12 8.132674e-09 17.85270
## AQP8      -6.916403  7.588945 -15.82926 5.996104e-12 9.395533e-09 17.56754

可以看到CXCL1的logFC是正的,是高表达的,没有任何问题。下面再画一个火山图看一看。

library(ggplot2)
library(ggrepel)

allDiff$type <- ifelse(allDiff$logFC > 2 & allDiff$adj.P.Val < 0.01, "up",
                        ifelse(allDiff$logFC < -2 & allDiff$adj.P.Val < 0.01, "down", "not-sig")
                        )
allDiff$gene <- rownames(allDiff) 

p1 <- ggplot(allDiff, aes(logFC, -log10(adj.P.Val)))+
  geom_point(aes(color=type))+
  scale_color_manual(values = c("blue","black","red"))+
  geom_hline(yintercept = -log10(0.01),linetype=2)+
  geom_vline(xintercept = c(-2,2), linetype=2)+
  geom_text_repel(data = subset(allDiff, abs(logFC) > 4), 
                  aes(label=gene),col="black",alpha = 0.8)+
  ggtitle("uc vs normal")+
  theme_bw()
p1

limma差异分析谁比谁不重要_第2张图片

在这个火山图里,CXCL1是高表达,现在是 uc 比 normal,没有任何问题,和我们的背景知识以及箱线图都一致!

下面我们把分组稍微修改一下,把normal改成znormal,这时在R语言里面默认顺序就变成uc在前,znormal在后。

group_list <- c(rep('znormal',7),rep('uc',10))
group_list
##  [1] "znormal" "znormal" "znormal" "znormal" "znormal" "znormal" "znormal"
##  [8] "uc"      "uc"      "uc"      "uc"      "uc"      "uc"      "uc"     
## [15] "uc"      "uc"      "uc"

这时候的design也会跟着变化:

design <- model.matrix(~ group_list)
design
##    (Intercept) group_listznormal
## 1            1                 1
## 2            1                 1
## 3            1                 1
## 4            1                 1
## 5            1                 1
## 6            1                 1
## 7            1                 1
## 8            1                 0
## 9            1                 0
## 10           1                 0
## 11           1                 0
## 12           1                 0
## 13           1                 0
## 14           1                 0
## 15           1                 0
## 16           1                 0
## 17           1                 0
## attr(,"assign")
## [1] 0 1
## attr(,"contrasts")
## attr(,"contrasts")$group_list
## [1] "contr.treatment"

看清楚了吗?这时候后面一列是group_listznormal了,而且znormal是1,uc是0!

此时你往下做差异分析,刚好和上面完全反过来!CXCL1logFC会变成负的,因为此时是znormal vs uc

fit <- lmFit(exprSet,design)
fit <- eBayes(fit) 
allDiff <- topTable(fit, number = Inf) 
## Removing intercept from test coefficients

head(allDiff, 12)
##               logFC   AveExpr         t      P.Value    adj.P.Val        B
## HMGCS2     6.018195  8.483645  23.68806 6.183283e-15 1.247415e-10 23.77686
## CHI3L1    -6.532374  8.423055 -22.34265 1.699896e-14 1.714685e-10 22.90827
## SLC26A2    5.096618 10.384007  21.30421 3.860702e-14 2.596194e-10 22.19093
## CLDN8      6.408782  7.228457  18.83007 3.197251e-13 1.612534e-09 20.29435
## S100A8    -6.039988  8.849455 -17.57688 1.029574e-12 4.154125e-09 19.21875
## CDC25B    -1.703420  8.246338 -16.73922 2.347422e-12 7.892815e-09 18.45069
## DPP10      2.020786  3.617608  16.36731 3.424769e-12 8.132674e-09 18.09612
## PDPN      -2.821963  6.311157 -16.31720 3.605676e-12 8.132674e-09 18.04767
## DPP10-AS1  1.665377  4.529724  16.21688 3.998717e-12 8.132674e-09 17.95022
## CFB       -2.878172  8.304561 -16.19818 4.076831e-12 8.132674e-09 17.93199
## CXCL1     -4.418606  8.627389 -16.11715 4.434391e-12 8.132674e-09 17.85270
## AQP8       6.916403  7.588945  15.82926 5.996104e-12 9.395533e-09 17.56754

CXCL1logFC是负的了,没有问题吧?画火山图也是完全相反的。

allDiff$type <- ifelse(allDiff$logFC > 2 & allDiff$adj.P.Val < 0.01, "up",
                       ifelse(allDiff$logFC < -2 & allDiff$adj.P.Val < 0.01, "down", "not-sig")
                        )
allDiff$gene <- rownames(allDiff) 

p2 <- ggplot(allDiff, aes(logFC, -log10(adj.P.Val)))+
  geom_point(aes(color=type))+
  scale_color_manual(values = c("blue","black","red"))+
  geom_hline(yintercept = -log10(0.01),linetype=2)+
  geom_vline(xintercept = c(-2,2), linetype=2)+
  geom_text_repel(data = subset(allDiff, abs(logFC) > 4), 
                  aes(label=gene),col="black",alpha = 0.8)+
  ggtitle("normal vs uc")+
  theme_bw()
p2

limma差异分析谁比谁不重要_第3张图片

可以看到CXCL1是低表达的,有问题吗?完全没问题,因为此时是znormal vs uc,是正常组比uc组,肯定是低的了。

完全相反,但是完全没有问题。

如果你喜欢在设计矩阵时喜欢用factor()函数,比如design <- model.matrix(~ factor(group_list)),也是一样的道理,顺序靠后的 vs 顺序靠前的

group_list <- c(rep('znormal',7),rep('uc',10))

# 定义因子顺序,让zormal在前,uc在后
design <- model.matrix(~ factor(group_list, levels = c("znormal","uc")))

design
##    (Intercept) factor(group_list, levels = c("znormal", "uc"))uc
## 1            1                                                 0
## 2            1                                                 0
## 3            1                                                 0
## 4            1                                                 0
## 5            1                                                 0
## 6            1                                                 0
## 7            1                                                 0
## 8            1                                                 1
## 9            1                                                 1
## 10           1                                                 1
## 11           1                                                 1
## 12           1                                                 1
## 13           1                                                 1
## 14           1                                                 1
## 15           1                                                 1
## 16           1                                                 1
## 17           1                                                 1
## attr(,"assign")
## [1] 0 1
## attr(,"contrasts")
## attr(,"contrasts")$`factor(group_list, levels = c("znormal", "uc"))`
## [1] "contr.treatment"

看到了吗,这个矩阵还是靠后(这里是uc)的是1,所以往下做差异分析还是uc vs znormal,结果CXCL1logFC绝壁是正的!

用比较矩阵

这时候决定到底是谁和谁比的,是你的比较矩阵,其他的顺序都无所谓了!

group_list <- c(rep('normal',7),rep('uc',10))
group_list
##  [1] "normal" "normal" "normal" "normal" "normal" "normal" "normal" "uc"    
##  [9] "uc"     "uc"     "uc"     "uc"     "uc"     "uc"     "uc"     "uc"    
## [17] "uc"
# 用不用factor()都无所谓
design <- model.matrix(~ 0 + group_list)
design
##    group_listnormal group_listuc
## 1                 1            0
## 2                 1            0
## 3                 1            0
## 4                 1            0
## 5                 1            0
## 6                 1            0
## 7                 1            0
## 8                 0            1
## 9                 0            1
## 10                0            1
## 11                0            1
## 12                0            1
## 13                0            1
## 14                0            1
## 15                0            1
## 16                0            1
## 17                0            1
## attr(,"assign")
## [1] 1 1
## attr(,"contrasts")
## attr(,"contrasts")$group_list
## [1] "contr.treatment"

改个名字,更好看一点:

colnames(design) <- c("normal","uc")
rownames(design) <- colnames(exprSet)
design
##           normal uc
## GSM901319      1  0
## GSM901320      1  0
## GSM901321      1  0
## GSM901322      1  0
## GSM901323      1  0
## GSM901324      1  0
## GSM901325      1  0
## GSM901339      0  1
## GSM901341      0  1
## GSM901342      0  1
## GSM901344      0  1
## GSM901346      0  1
## GSM901347      0  1
## GSM901348      0  1
## GSM901349      0  1
## GSM901350      0  1
## GSM901351      0  1
## attr(,"assign")
## [1] 1 1
## attr(,"contrasts")
## attr(,"contrasts")$group_list
## [1] "contr.treatment"

下面我们定义一个比较矩阵,明确到底要谁和谁比!

# 明确 uc vs normal
contrast.matrix <- makeContrasts(uc - normal, levels = design)
contrast.matrix
##         Contrasts
## Levels   uc - normal
##   normal          -1
##   uc               1

进行差异分析:

fit <- lmFit(exprSet, design)
fit <- contrasts.fit(fit, contrast.matrix)
fit <- eBayes(fit)
allDiff <- topTable(fit, number = Inf)

head(allDiff, 12)
##               logFC   AveExpr         t      P.Value    adj.P.Val        B
## HMGCS2    -6.018195  8.483645 -23.68806 6.183283e-15 1.247415e-10 23.77686
## CHI3L1     6.532374  8.423055  22.34265 1.699896e-14 1.714685e-10 22.90827
## SLC26A2   -5.096618 10.384007 -21.30421 3.860702e-14 2.596194e-10 22.19093
## CLDN8     -6.408782  7.228457 -18.83007 3.197251e-13 1.612534e-09 20.29435
## S100A8     6.039988  8.849455  17.57688 1.029574e-12 4.154125e-09 19.21875
## CDC25B     1.703420  8.246338  16.73922 2.347422e-12 7.892815e-09 18.45069
## DPP10     -2.020786  3.617608 -16.36731 3.424769e-12 8.132674e-09 18.09612
## PDPN       2.821963  6.311157  16.31720 3.605676e-12 8.132674e-09 18.04767
## DPP10-AS1 -1.665377  4.529724 -16.21688 3.998717e-12 8.132674e-09 17.95022
## CFB        2.878172  8.304561  16.19818 4.076831e-12 8.132674e-09 17.93199
## CXCL1      4.418606  8.627389  16.11715 4.434391e-12 8.132674e-09 17.85270
## AQP8      -6.916403  7.588945 -15.82926 5.996104e-12 9.395533e-09 17.56754

结果和预想的一样。火山图就不画了。

如果是明确 normal vs uc,那结果肯定是相反的:

contrast.matrix <- makeContrasts(normal - uc, levels = design)

fit <- lmFit(exprSet, design)
fit <- contrasts.fit(fit, contrast.matrix)
fit <- eBayes(fit)
allDiff <- topTable(fit, number = Inf)

head(allDiff, 12)
##               logFC   AveExpr         t      P.Value    adj.P.Val        B
## HMGCS2     6.018195  8.483645  23.68806 6.183283e-15 1.247415e-10 23.77686
## CHI3L1    -6.532374  8.423055 -22.34265 1.699896e-14 1.714685e-10 22.90827
## SLC26A2    5.096618 10.384007  21.30421 3.860702e-14 2.596194e-10 22.19093
## CLDN8      6.408782  7.228457  18.83007 3.197251e-13 1.612534e-09 20.29435
## S100A8    -6.039988  8.849455 -17.57688 1.029574e-12 4.154125e-09 19.21875
## CDC25B    -1.703420  8.246338 -16.73922 2.347422e-12 7.892815e-09 18.45069
## DPP10      2.020786  3.617608  16.36731 3.424769e-12 8.132674e-09 18.09612
## PDPN      -2.821963  6.311157 -16.31720 3.605676e-12 8.132674e-09 18.04767
## DPP10-AS1  1.665377  4.529724  16.21688 3.998717e-12 8.132674e-09 17.95022
## CFB       -2.878172  8.304561 -16.19818 4.076831e-12 8.132674e-09 17.93199
## CXCL1     -4.418606  8.627389 -16.11715 4.434391e-12 8.132674e-09 17.85270
## AQP8       6.916403  7.588945  15.82926 5.996104e-12 9.395533e-09 17.56754

可以看到CXCL1的logFC变成负的了。

总结

  • 如果不用比较矩阵,就是默认 顺序靠后的 vs 顺序靠前的
  • 如果用比较矩阵,那就是按照你定义的进行比较,你让它怎么比它就怎么比;
  • 推荐大家用比较矩阵,明确谁和谁比,不容易出错!

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