TY - JOUR
AU - Yamamoto, Kouji
AU - Tahata, Kouji
AU - Suzuki, Motoko
AU - Tomizawa, Sadao
PY - 2011/01/01
Y2 - 2024/08/10
TI - Measure of departure from marginal point-symmetry for two-way contingency tables
JF - Statistica
JA - Stat
VL - 71
IS - 3
SE - Articles
DO - 10.6092/issn.1973-2201/3620
UR - https://rivista-statistica.unibo.it/article/view/3620
SP - 367-380
AB - For two-way contingency tables, Tomizawa (1985) considered the point-symmetry and marginal point-symmetry models, and Tomizawa, Yamamoto and Tahata (2007) proposed a measure to represent the degree of departure from point-symmetry. The present paper proposes a measure to represent the degree of departure from marginal pointsymmetry for two-way tables. The proposed measure is expressed by using Cressie-Read power-divergence or Patil-Taillie diversity index. This measure would be useful for comparing the degrees of departure from marginal point-symmetry in several tables. The relationship between the degree of departure from marginal point-symmetry and the measure is shown when it is reasonable to assume underlying bivariate normal distribution. Examples are shown.
ER -