References

ORDINAL QUASI POINT-SYMMETRY AND DECOMPOSITION OF POINT-SYMMETRY FOR CROSS-CLASSIFICATIONS


[1] A. Agresti, A simple diagonals-parameter symmetry and quasi-symmetry model, Statistics and Probability Letters 1 (1983), 313-316.

[2] A. Agresti, Analysis of Ordinal Categorical Data, Wiley, New York, 1984.

[3] A. Agresti, Analysis of Ordinal Categorical Data, 2nd Edition, Wiley, Hoboken, New Jersey, 2010.

[4] J. Aitchison, Large-sample restricted parametric tests, Journal of the Royal Statistical Society Ser. B 24 (1962), 234-250.

[5] J. N. Darroch and D. Ratcliff, Generalized iterative scaling for log-linear models, Annals of Mathematical Statistics 43 (1972), 1470-1480.

[6] J. N. Darroch and S. D. Silvey, On testing more than one hypothesis, Annals of Mathematical Statistics 34 (1963), 555-567.

[7] J. E. Grizzle, C. F. Starmer and G. G. Koch, Analysis of categorical data by linear models, Biometrics 25 (1969), 489-504.

[8] M. Kateri and T. Papaioannou, A correspondence between point-symmetric and classical log-linear models, Metron 61 (2003), 5-11.

[9] J. B. Lang and A. Agresti, Simultaneously modeling joint and marginal distributions of multivariate categorical responses, Journal of the American Statistical Association 89 (1994), 625-632.

[10] C. B. Read, Partitioning chi-square in contingency tables: A teaching approach, Communications in Statistics-Theory and Methods 6 (1977), 553-562.

[11] K. Tahata and S. Tomizawa, Orthogonal decomposition of point-symmetry for multiway tables, Advances in Statistical Analysis 92 (2008), 255-269.

[12] S. Tomizawa, The decompositions for point symmetry models in two-way contingency tables, Biometrical Journal 27 (1985), 895-905.

[13] S. Tomizawa, Orthogonal decomposition of point-symmetry model for two-way contingency tables, Journal of Statistical Planning and Inference 36 (1993), 91-100.

[14] S. Tomizawa and K. Tahata, The analysis of symmetry and asymmetry: Orthogonality of decomposition of symmetry into quasi-symmetry and marginal symmetry for multi-way tables, Journal de la Société Française de Statistique 148 (2007), 3-36.

[15] K. D. Wall and G. A. Lienert, A test for point-symmetry in J-dimensional contingency-cubes, Biometrical Journal 18 (1976), 259-264.