R 中 bootstrap 的 T 检验

Question

我正在尝试运行在 R 中使用 bootstrap 进行 t 检验。我有 50 名参与者的样本，其中 39 名是女性。我有一个因变量 d'，想看看男性和女性在这个变量上是否不同。因为我只有 11 名男性参与者，所以我想使用 bootstrapped t 检验（不是最好的主意，但我在文献中看到过）。

我有一个名为“数据”的数据库，其中包含多个变量。所以，首先我提取了两个向量：

dPrimeFemales <- subset(data, Gender == "F", 
                  select=c(dPrime))

dPrimeMales <- subset(data, Gender == "M", 
                        select=c(dPrime))

然后，我尝试了一些在互联网上（和这里）找到的东西。基于此 post 我试过：

set.seed(1315)
    B      <- 1000
    t.vect <- vector(length=B)
    p.vect <- vector(length=B)
    for(i in 1:B){
      boot.c <- sample(dPrimeFemales, size=nrow(dPrimeFemales), replace=T)
      boot.p <- sample(dPrimeMales, size=nrow(dPrimeMales), replace=T)
      ttest  <- t.test(boot.c, boot.p)
      t.vect[i] <- ttest$statistic
      p.vect[i] <- ttest$p.value
    }

但是它说：

Error: Must use a vector in `[`, not an object of class matrix.
Call `rlang::last_error()` to see a backtrace

我也试过这个： boot.t.test: Bootstrap t-test

首先，我无法加载函数。所以，我复制粘贴并运行这个：

Bootstrap Function

然后我运行这个：

boot.t.test(x = dPrimeFemales, y = dPrimeMales)

但是，它是这样说的：

Error in boot.t.test(x = dPrimeFemales, y = dPrimeMales) : 
  dims [product 1] do not match the length of object [1000]
In addition: There were 50 or more warnings (use warnings() to see the first 50)

如果我使用 warnings() 它说：

1: In mean.default(x) : argument is not numeric or logical: returning NA
2: In mean.default(y) : argument is not numeric or logical: returning NA
3: In mean.default(c(x, y)) : argument is not numeric or logical: returning NA
4: In mean.default(x) : argument is not numeric or logical: returning NA
5: In mean.default(y) : argument is not numeric or logical: returning NA

等等...

更清楚地说，我正在考虑类似 SPSS 中的 bootstrapped t 检验，如下所示：

我认为这会容易得多。欢迎任何帮助

谢谢大家的宝贵时间。

structure(list(dPrime = c(0.60805224661517, 0.430727299295457, 
-0.177380196159658, 0.771422126383253, 0.598621304083563, 0, 
0.167894004788105, -0.336998837042929, 0.0842422708809764, -0.440748778800912, 
0.644261556974516, -0.167303467814258, 0.169695369228671, -0.251545738695235, 
0.0842422708809764, -0.0985252105020469, -0.239508275220057, 
-0.143350050535084, 0.430727299295457, 0.757969499665785, -0.282230896122292, 
-0.271053409572241, -0.090032472207662, -0.090032472207662, 0.524400512708041, 
-0.218695510362827, -0.271053409572241, 1.07035864674857, 0.262833294507352, 
0.421241107923905, -0.0836517339071291, 0.090032472207662, -0.598621304083563, 
-0.356506507919935, 0.474566187745845, 0.336998837042929, 1.35083901409173, 
-0.336998837042929, -0.443021053393661, 0.757969499665785, -0.841621233572914, 
0.167303467814258, 0.167894004788105, 0.090032472207662, -0.177380196159658, 
0.251545738695235, -0.344495842891614, -0.17280082229969, -0.440748778800912, 
0), Gender = c("F", "F", "F", "F", "F", "F", "F", "F", "M", "M", 
"F", "F", "F", "F", "F", "F", "F", "F", "M", "F", "M", "M", "F", 
"F", "F", "F", "F", "F", "F", "F", "M", "F", "F", "F", "M", "F", 
"F", "F", "F", "M", "M", "F", "F", "M", "M", "F", "F", "F", "F", 
"F")), row.names = c(NA, -50L), class = c("tbl_df", "tbl", "data.frame"
))

Answer 1

下面是一个将该函数与模拟数据一起使用的示例，其中您希望 p 值接近 1。无需事先对其进行子集化并创建中间对象。

set.seed(0)
df <- data.frame(gender = sample(c('M', 'F'), size=50, replace=T),
                 measure = runif(n=50))

boot.t.test(df[df$gender=='M', 'measure'], df[df$gender=='F', 'measure'], reps=1000)

Bootstrap Two Sample t-test


t = -0.186, p-value = 0.859
Alternative hypothesis: true difference in means is not equal to 0

$mu0 
[1] 0

$statistic
[1] -0.1863362

$alternative
[1] "two.sided"

$p.value
[1] 0.859

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