scholarly journals Normal Distribution Type Symmetry Model for Square Contingency Tables with Ordered Categories

2009 ◽  
Vol 1 (1) ◽  
pp. 32-37 ◽  
Author(s):  
Kouji Tahata ◽  
Kouji Yamamoto ◽  
Sadao Tomizawa
Keyword(s):  
Normal Distribution ◽  
Contingency Tables ◽  
Ordered Categories ◽  
Symmetry Model ◽  
Type Symmetry ◽  
Distribution Type

scholarly journals Log-normal Distribution Type Symmetry Model for Square Contingency Tables with Ordered Categories

2018 ◽  
Vol 47 (3) ◽  
pp. 39-48
Author(s):  
Kiyotaka Iki
Keyword(s):  
Normal Distribution ◽  
Contingency Tables ◽  
Ordered Categories ◽  
Symmetry Model ◽  
Proposed Model ◽  
Type Symmetry ◽  
The Difference ◽  
Log Normal ◽  
Distribution Type ◽  
Log Normal Distribution

For the analysis of square contingency tables with the same row and column ordinal classications, this article proposes a new model which indicates that the log-ratios of symmetric cell probabilities are proportional to the difference between log-row category and log-column category. The proposed model may be appropriate for a square ordinal table if it is reasonable to assume an underlying bivariate log-normal distribution. Also, this article gives the decomposition of the symmetry model using the proposed model with the orthogonality of test statistics. Examples are given. The simulation studies based on bivariate log-normal distribution are given.

scholarly journals An Extended Bivariate T-Distribution Type Symmetry Model for Square Contingency Tables

2018 ◽  
Vol 08 (02) ◽  
pp. 249-257
Author(s):  
Kiyotaka Iki ◽  
Masayuki Okada ◽  
Sadao Tomizawa
Keyword(s):  
Contingency Tables ◽  
Symmetry Model ◽  
Type Symmetry ◽  
Distribution Type ◽  
T Distribution
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