Relative Frequencies of Serum Proteins in White Pekin Ducklings

Relative frequencies of serum proteins in white Pekin ducklings as determined by electrophoresis.

data(ducklings)

Format

The format is: chr "ducklings"

Details

Columns p1, p2, p3 stand for pre-albumin, albumin, globulins respectively. These were collected from 3-week old white Pekin ducklings. Let \(Y_1\) be proportional to the total milligrams of pre-albumin in the blood serum of a duckling. Similarly, let \(Y_2\) and \(Y_3\) be directly proportional to the same factor as \(Y_1\) to the total milligrams respectively of albumin and globulins in its blood serum. The proportion of pre-albumin is given by \(Y_1/(Y_1 + Y_2 + Y_3)\), and similarly for the others.

Source

Mosimann, J. E. (1962) On the compound multinomial distribution, the multivariate \(\beta\)-distribution, and correlations among proportions, Biometrika, 49, 65–82.

See also

dirichlet.

Examples

print(ducklings)
#>        p1    p2     p3
#> 1  0.1780 0.346 0.4760
#> 2  0.1620 0.307 0.5310
#> 3  0.0830 0.448 0.4690
#> 4  0.0870 0.474 0.4390
#> 5  0.0780 0.503 0.4190
#> 6  0.0400 0.456 0.5040
#> 7  0.0490 0.363 0.5880
#> 8  0.1000 0.317 0.5830
#> 9  0.0750 0.394 0.5310
#> 10 0.0840 0.445 0.4710
#> 11 0.0600 0.435 0.5050
#> 12 0.0890 0.418 0.4930
#> 13 0.0500 0.485 0.4650
#> 14 0.0730 0.378 0.5490
#> 15 0.0640 0.562 0.3740
#> 16 0.0850 0.465 0.4500
#> 17 0.0940 0.388 0.5180
#> 18 0.0140 0.449 0.5370
#> 19 0.0600 0.544 0.3960
#> 20 0.0310 0.569 0.4000
#> 21 0.0250 0.491 0.4840
#> 22 0.0450 0.613 0.3420
#> 23 0.0195 0.526 0.4545