Cohen’s U1, U2, and U3

Computing Cohen’s (1988) U1, U2, and U3 from d (Table 2.2.1, p. 22)

U3 = function(x) pnorm(x)
U2 = function(x) pnorm(x/2)
U1 = function(x) (2*U2(x) - 1) /U2(x)
cohenTab = data.frame(d = c(seq(0.0, 2.0, 0.1),
seq(2.2, 4.0, 0.2)))
cohenTab$U1 = U1(cohenTab$d) * 100
cohenTab$U2 = U2(cohenTab$d) * 100
cohenTab$U3 = U3(cohenTab$d) * 100
cohenTab

d U1 U2 U3
0.0 0.0 50.0 50.0
0.1 7.7 52.0 54.0
0.2 14.8 54.0 57.9
0.3 21.3 56.0 61.8
0.4 27.4 57.9 65.5
0.5 33.0 59.9 69.1
0.6 38.2 61.8 72.6
0.7 43.0 63.7 75.8
0.8 47.4 65.5 78.8
0.9 51.6 67.4 81.6
1.0 55.4 69.1 84.1
1.1 58.9 70.9 86.4
1.2 62.2 72.6 88.5
1.3 65.3 74.2 90.3
1.4 68.1 75.8 91.9
1.5 70.7 77.3 93.3
1.6 73.1 78.8 94.5
1.7 75.4 80.2 95.5
1.8 77.4 81.6 96.4
1.9 79.4 82.9 97.1
2.0 81.1 84.1 97.7
2.2 84.3 86.4 98.6
2.4 87.0 88.5 99.2
2.6 89.3 90.3 99.5
2.8 91.2 91.9 99.7
3.0 92.8 93.3 99.9
3.2 94.2 94.5 99.9
3.4 95.3 95.5 99.9663
3.6 96.3 96.4 99.9841
3.8 97.0 97.1 99.9928
4.0 97.7 97.7 99.9968
Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s