ADDITIONAL REFERENCES
- Barlow , R. E. , Bartholomew , D. J. , Bremner , J. M. and Brunk , H. D. 1972 . Statistical Inference Under Order Restrictions New York : John Wiley. .
- Bradley , R. A. , Katti , S. K. and Coons , I. J. 1962 . “Optimal Scaling for Ordered Categories . Psychometrika , 27 : 355 – 374 .
- Hirotsu , C. 1978 . “Ordered Alternatives for Interaction Effects,” . Biometrika , 65 : 561 – 570 .
- Hirotsu , C. 1979a . “An F-Approximation and Its Application,” . Biometrika , 66 : 577 – 584 .
- Hirotsu , C. 1979b . “The Cumulative Chi-Squares Method for Testing an Ordered Alternative in a One-Way Analysis of Variance Model,” . Reports of Statistical Application Research, Union of Japanese Scientists and Engineers , 26 : 12 – 21 .
- Hirotsu , C. 1982 . “Use of Cumulative Efficient Scores for Testing Ordered Alternatives in Discrete Models,” . Biometrika , 69 : 567 – 577 .
- Hirotsu , C. “Analysis of Deviance in Various Discrete Models” (in Japanese) . Proceedings of the 5th Symposium on the Analysis of Discrete Data . pp. 1 – 16 . Tokyo : Japanese Society of Applied Statistics. .
- Hirotsu , C. 1983b . “Defining the Pattern of Association in Two-Way Contingency Tables,” . Biometrika , 70 : 579 – 89 .
- Hirotsu , C. 1985 . “Analysis of Residuals in a Contingency Table With an Ordered Column Category” (in Japanese) . Journal of the Japanese Society of Applied Statistics , 14 : 61 – 67 .
- Hirotsu , C. 1986 . “Cumulative Chi-Squared Statistic as a Tool for Testing Goodness of Fit,” . Biometrika , 73 : 165 – 173 .
- Kodama , H. , Uesaka , H. and Goto , M. 1978 . “A Monte Carlo Evaluation of the Accumulation Method in Two Sample Tests for Ordered Response Categories” (in Japanese with English summary) . Journal of the Japanese Society for Quality Control , 8 : 31 – 9 .
- Plackett , R. L. 1981 . The Analysis of Categorical Data, , 2nd ed. London : Charles W. Griffin. .
- Shirahata , S. “A Method of Forming a Test Statistic for a Restricted Alternative” (in Japanese) . Proceedings of the Annual Meeting of the Japanese Society of Mathematics . pp. 154 – 166 . Tokyo : Japanese Society of Mathematics. .
- Snell , E. J. 1964 . “A Scaling Procedure for Ordered Categorical Data,” . Biometrics , 20 : 592 – 607 .
- Takeuchi , K. 1973 . “On Taguchi's Cumulative Sum Method” (in Japanese) . Quality Control , 24 : 987 – 993 .
- Takeuchi , K. 1979 . “Test and Estimation Problem Under Restricted Null and Alternative Hypotheses” (in Japanese) . The Journal of Economics , 45 : 2 – 10 .
- Takeuchi , K. and Hirotsu , C. 1982 . “The Cumulative Chi-Squares Method Against Ordered Alternatives in Two-Way Contingency Tables,” . Reports of Statistical Application Research, Union of Japanese Scientists and Engineers , 29 : 11 – 13 .