TY - JOUR AU - Di Castelnuovo, Augusto AU - Mazzaro, Dario AU - Pesarin, Fortunato AU - Salmaso, Luigi PY - 2000/01/01 Y2 - 2024/03/29 TI - Test di permutazione multidimensionali in problemi d’inferenza isotonica: un’applicazione alla genetica JF - Statistica JA - Stat VL - 60 IS - 4 SE - Articles DO - 10.6092/issn.1973-2201/6801 UR - https://rivista-statistica.unibo.it/article/view/6801 SP - 691-700 AB - In this paper we present a permutation solution to an isotonic inference problem very usual in association case-control studies in genetic epidemiology. In similar studies, the data may be represented as: X = ....... where responses are ordered categorical such as (AA, aA, aa) or the like, where ordering is generally induced by the nature of the problem at hand. The hypotheses we are interested in are: ..............  where at least one inequality is strong. This particular system of hypotheses arises when the variables are such that, under the alternative, both  X11 and  X12 stochastically non-increase or both stochastically non-decrease. The permutation solution presented is based on the nonparametric combination of dependent test (Pesarin, 1992, 1999).  ER -