title: A generalized nonparametric test for lattice-ordered means.
abstract: Treatment means in factorial experiments are lattice ordered when there is an increase in mean response as the level of any factor is increased while holding the other factors fixed. Such means occur naturally in many experiments. A nonparametric test for lattice-ordered means involving a Kendall-type statistic will be summarized for k-factor factorial experiments. Specifically, the form of the test statistic and variance under the null hypothesis will be presented. In addition, a normalized version of the test statistic will be discussed and applied to relevant data.
authors: Department of Statistics, University of California at Los Angeles, Box 951554, Los Angeles, California 90095-1554, USA. strand@stat.ucla.edu
authors: M
authors: M
authors: Strand
mesh_terms: D045930:Anabolic Agents / Q000009:adverse effects; D001699:Biometry / Q000379:methods; D003470:Culture Media; D019453:Escherichia coli O157 / Q000254:growth & development; D015444:Exercise; D005163:Factor Analysis, Statistical; D006801:Humans; D006863:Hydrogen-Ion Concentration; D008297:Male; D015233:Models, Statistical; D018482:Muscle, Skeletal / Q000187:drug effects / Q000502:physiology; D013177:Sports; D018709:Statistics, Nonparametric; D013696:Temperature; D013739:Testosterone / Q000009:adverse effects / Q000494:pharmacology; D014891:Weight Lifting
chemical_list: D045930:Anabolic Agents; D003470:Culture Media; D013739:Testosterone