%0 Journal Article %T Normal Distribution Type Symmetry Model for Square Contingency Tables with Ordered Categories %A Kouji Tahata %A Kouji YamamotoSadao Tomizawa %J The Open Statistics & Probability Journal %D 2009 %I %R 10.2174/1876527000901010032] %X For square contingency tables with ordered categories, this paper proposes a model that the cell probabilities have a similar structure of bivariate normal density function with equal marginal variances. The proposed model is special cases of Agresti's linear diagonals-parameter symmetry model and Goodman's diamond model. Examples with real data are given and the simulation studies based on the bivariate normal distribution are also given. %U http://www.benthamscience.com/open/tospj/articles/V001/32TOSPJ.htm