TY - JOUR AU - Xie, Yu AB - COMMENT: THE ESSENTIAL TENSION BETWEEN PARSIMONY AND ACCURACY Yu Xie* Goodman and Hout present a new set of powerful statistical methods for comparing two-way associations across a third dimension. Providing a unifying framework that encompasses earlier attempts proposed by Yamaguchi (1987) and Xie (1992), this paper is highly significant and as such will have a long-term impact on the way multidimensional contin- gency tables are analyzed in the future. The main message of Goodman and Hout’s article is an important one and is worth reiterating here. For a three-way cross-tabulation of row ~R!, column ~C !, and layer ~L!, indexed respectively by subscripts i ~1, +++ I !, j ~1, +++ J !, and k ~1, +++ K !, the expected frequency under the saturated model can be written as R C L RL CL RC RCL F 5 t t t t t t t t , (1) ijk 0 i j k ik jk ij ijk where the t parameters are multiplicative effects subject to usual normal- R C L ization constraints. Terms t , t , t , and t are commonly called “margin- 0 i j k RL CL RC RCL al” or “main” effects, TI - Comment: The Essential Tension between Parsimony and Accuracy JF - Sociological Methodology DO - 10.1111/0081-1750.00046 DA - 1998-08-01 UR - https://www.deepdyve.com/lp/sage/comment-the-essential-tension-between-parsimony-and-accuracy-d3gLQdED3b SP - 231 EP - 236 VL - 28 IS - 1 DP - DeepDyve ER -