R：创建 t 分布的 table 个百分点

Question

我想知道如何在 R 中创建 table of percentage points of the t-distribution。我的 MWE 是：

Prob <- c(0.40, 0.25, 0.10, 0.05, 0.025, 0.01, 0.005, 0.0025, 0.001, 0.0005)
DegreeFreedom <- c(1:30, 40, 60, 120)

qt(
    p          = Prob
  , df         = DegreeFreedom
  , ncp        = 0
  , lower.tail = FALSE
  , log.p      = FALSE
  )

[1] 0.3249197 0.8164966 1.6377444 2.1318468 2.5705818 3.1426684 3.4994833 3.8325187 4.2968057 4.5868939
[11] 0.2595559 0.6954829 1.3501713 1.7613101 2.1314495 2.5834872 2.8982305 3.1965742 3.5794001 3.8495163
[21] 0.2565799 0.6858050 1.3194602 1.7108821 2.0595386 2.4786298 2.7706830 3.0469288 3.3962403 3.6459586
[31] 0.2550387 0.6786007 1.2886462

Answer 1

你是说

## include Normal (df -> Inf) values at head of the table, as in
## linked example
DegreeFreedom <- c(Inf,DegreeFreedom) 
m <- t(outer(Prob,DegreeFreedom,
          qt,lower.tail=FALSE))
dimnames(m) <- list(df=DegreeFreedom,alpha=Prob)

检查：

m["1","0.1"]  ## 3.077684

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R：创建 t 分布的 table 个百分点

R: Creating a table of Percentage Points of the t Distribution

statistics

r

distribution