Chapitre 16 Table des valeurs critiques de t
La courte syntaxe R ci-dessous permet de générer le tableau 16.1 avec les valeurs critiques de t avec p = 0,10, 0,05, 0,01 et 0,01.
library(stargazer)
# vecteur pour les degrés de liberté de 1 à 30, puis 40 et 50
dl <- c(1:30, 40, 50, 60, 70, 80, 90, 100, 250, 500, 1000, 2500)
# la fonction qchisq permet d'obtenir la valeur théorique en fonction
# d'une valeur de p et d'un nombre de degrés de liberté
tableT <- cbind(dl,
p0.10 = round(qt(p=1 - (0.10/2), df=dl),2),
p0.05 = round(qt(p=1 - (0.05/2), df=dl),2),
p0.01 = round(qt(p=1 - (0.01/2), df=dl),2),
p0.001 = round(qt(p=1 - (0.001/2), df=dl),2))
# Impression du tableau avec la library stargazer
stargazer(tableT, type="text", summary=FALSE, rownames=FALSE, align = TRUE, digits = 2,
title="Distribution des valeurs critiques de t")| dl | p = 0,10 | p = 0,05 | p = 0,01 | p = 0,001 |
|---|---|---|---|---|
| 1 | 6,31 | 12,71 | 63,66 | 636,62 |
| 2 | 2,92 | 4,30 | 9,92 | 31,60 |
| 3 | 2,35 | 3,18 | 5,84 | 12,92 |
| 4 | 2,13 | 2,78 | 4,60 | 8,61 |
| 5 | 2,02 | 2,57 | 4,03 | 6,87 |
| 6 | 1,94 | 2,45 | 3,71 | 5,96 |
| 7 | 1,89 | 2,36 | 3,50 | 5,41 |
| 8 | 1,86 | 2,31 | 3,36 | 5,04 |
| 9 | 1,83 | 2,26 | 3,25 | 4,78 |
| 10 | 1,81 | 2,23 | 3,17 | 4,59 |
| 11 | 1,80 | 2,20 | 3,11 | 4,44 |
| 12 | 1,78 | 2,18 | 3,05 | 4,32 |
| 13 | 1,77 | 2,16 | 3,01 | 4,22 |
| 14 | 1,76 | 2,14 | 2,98 | 4,14 |
| 15 | 1,75 | 2,13 | 2,95 | 4,07 |
| 16 | 1,75 | 2,12 | 2,92 | 4,01 |
| 17 | 1,74 | 2,11 | 2,90 | 3,97 |
| 18 | 1,73 | 2,10 | 2,88 | 3,92 |
| 19 | 1,73 | 2,09 | 2,86 | 3,88 |
| 20 | 1,72 | 2,09 | 2,85 | 3,85 |
| 21 | 1,72 | 2,08 | 2,83 | 3,82 |
| 22 | 1,72 | 2,07 | 2,82 | 3,79 |
| 23 | 1,71 | 2,07 | 2,81 | 3,77 |
| 24 | 1,71 | 2,06 | 2,80 | 3,75 |
| 25 | 1,71 | 2,06 | 2,79 | 3,73 |
| 26 | 1,71 | 2,06 | 2,78 | 3,71 |
| 27 | 1,70 | 2,05 | 2,77 | 3,69 |
| 28 | 1,70 | 2,05 | 2,76 | 3,67 |
| 29 | 1,70 | 2,05 | 2,76 | 3,66 |
| 30 | 1,70 | 2,04 | 2,75 | 3,65 |
| 40 | 1,68 | 2,02 | 2,70 | 3,55 |
| 50 | 1,68 | 2,01 | 2,68 | 3,50 |
| 60 | 1,67 | 2,00 | 2,66 | 3,46 |
| 70 | 1,67 | 1,99 | 2,65 | 3,44 |
| 80 | 1,66 | 1,99 | 2,64 | 3,42 |
| 90 | 1,66 | 1,99 | 2,63 | 3,40 |
| 100 | 1,66 | 1,98 | 2,63 | 3,39 |
| 250 | 1,65 | 1,97 | 2,60 | 3,33 |
| 500 | 1,65 | 1,96 | 2,59 | 3,31 |
| 1 000 | 1,65 | 1,96 | 2,58 | 3,30 |
| 2 500 | 1,65 | 1,96 | 2,58 | 3,29 |
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