what is the meaning of “One-sample test.”？The following is clearly a two-sample test for wilcox.test

Question

The code that inspired this question can be found here and below:

require(graphics)
## One-sample test.
## Hollander & Wolfe (1973), 29f.
## Hamilton depression scale factor measurements in 9 patients with
##  mixed anxiety and depression, taken at the first (x) and second
##  (y) visit after initiation of a therapy (administration of a
##  tranquilizer).
x <- c(1.83,  0.50,  1.62,  2.48, 1.68, 1.88, 1.55, 3.06, 1.30)
y <- c(0.878, 0.647, 0.598, 2.05, 1.06, 1.29, 1.06, 3.14, 1.29)
wilcox.test(x, y, paired = TRUE, alternative = "greater")
wilcox.test(y - x, alternative = "less")    # The same.
wilcox.test(y - x, alternative = "less",
            exact = FALSE, correct = FALSE) # H&W large sample
                                            # approximation

What is the meaning of “One-sample test.”? The following is clearly a two-sample test.

Answer 1

I'm not entirely sure what led you to that conclusion. The $x$ and $y$ variables are supposed to represent scores for the same group tested multiple times (admittedly, the label should be something more like "Time 1" and "Time 2"). The description even notes this:

Hamilton depression scale factor measurements in 9 patients with mixed anxiety and depression, taken at the first (x) and second (y) visit after initiation of a therapy (administration of a tranquilizer).

The tests directly following perform a one-sample paired test accordingly.