title: A quotient of independent measurements as outcome. A statistical method to compare groups in biological experiments.
abstract: The methodology in this paper was proposed to analyze biological data. The variable of interest, W, was a quotient of measurements; W: = X/(Y.Z). The peculiar problem was that X, Y, and Z could only be determined in three independent units of observation which were destroyed in the course of each measurement. A test statistic for the comparison of two treatments in W is proposed which is based on robust measures of location and dispersion in order to account for outliers in the data. Simulations showed that the test statistic proposed is approximately normally distributed, even for small sample sizes.
authors.affiliation: Abteilung Biometrie und Medizinische Dokumentation, Universität Ulm, Germany.
authors.forename: M
authors.initials: M
authors.lastname: Kron
authors.forename: H
authors.initials: H
authors.lastname: Schneckenburger
authors.forename: M H
authors.initials: MH
authors.lastname: Gschwend
authors.forename: J
authors.initials: J
authors.lastname: Högel
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D012107:Research Design; D018401:Sample Size