Perform the conventional Tukey test from formula,
lm, aov, aovlist and lmer objects.

c(person("C. Bradford", "Barber", role = c("aut", "cph")),
person("The Geometry Center", "University of Minnesota", role = c("cph")),
person("Andrew", "Makhorin", role = c("aut", "cph")),
person("Timothy A.", "Davis", role = c("aut", "cph")),
person("Patrick R.", "Amestoy", role = c("aut", "cph")),
person("Iain S.", "Duff", role = c("aut", "cph")),
person("John K.", "Reid", role = c("aut", "cph")),
person("Stefan I.", "Larimore", role = c("aut")),
person("Jean-loup", "Gailly", role = c("aut", "cph")),
person("Mark", "Adler", role = c("aut", "cph")),
person("Niklas", "Sorensson", role = c("aut", "cph")),
person("Giorgio", "Sartor", role = c("aut")),
person("Heinrich", "Schuchardt", role = c("aut")),
person("Cosmin", "Truta", role = c("ctb")),
person("Alan", "Mishchenko", role = c("ctb")),
person("Tamas", "Badics", role = c("ctb")),
person("Pavlo", "Mozharovskyi", role = c("aut", "cre"),
email = "pavlo.mozharovskyi@ensai.fr"))
Tukey regions are polytopes in the Euclidean space, viz. upper-level sets of the Tukey depth function on given data. The bordering hyperplanes of a Tukey region are computed as well as its vertices, facets, centroid, and volume. In addition, the Tukey median set, which is the non-empty Tukey region having highest depth level, and its barycenter (= Tukey median) are calculated. Tukey regions are visualized in dimension two and three. For details see Liu, Mosler, and Mozharovskyi (2017) <arXiv:1412.5122>.
C. Bradford Barber [aut, cph],
The Geometry Center University of Minnesota [cph],
Andrew Makhorin [aut, cph],
Timothy A. Davis [aut, cph],
Patrick R. Amestoy [aut, cph],
Iain S. Duff [aut, cph],
John K. Reid [aut, cph],
Stefan I. Larimore [aut],
Jean-loup Gailly [aut, cph],
Mark Adler [aut, cph],
Niklas Sorensson [aut, cph],
Giorgio Sartor [aut],
Heinrich Schuchardt [aut],
Cosmin Truta [ctb],
Alan Mishchenko [ctb],
Tamas Badics [ctb],
Pavlo Mozharovskyi [aut, cre]

c(person("Pavlo", "Mozharovskyi", role = c("aut", "cre"),
email = "pavlo.mozharovskyi@ensai.fr"),
person("C.B.", "Barber", role = c("aut", "cph")),
person("The Geometry Center", "University of Minnesota", role = c("cph")))
Pavlo Mozharovskyi [aut, cre],
C.B. Barber [aut, cph],
The Geometry Center University of Minnesota [cph]