References
- Boik , R. J. ( 1993a ). Testing additivity in two-way classifications with no replications: the locally best invariant test . J. Appl. Statist. 20 ( 1 ): 41 – 55 .
- Boik , R. J. ( 1993b ). A comparison of three invariant tests of additivity in two-way classifications with no replications . Computat. Statist. Data Anal. 15 : 411 – 424 .
- Carter , O. R. , Collier , B. L. , Davis , F. L. ( 1951 ). Blast furnace slags as agricultural liming materials . Agronomy J. 43 : 430 – 433 .
- Chen , Y. , Kunert , J. ( 2004 ). A new quantitative method for analysing unreplicated factorial designs . Biometrical J. 46 ( 1 ): 125 – 140 .
- Corsten , L. C. , Van Eijnsbergen , A. C. ( 1972 ). Multiplicative effects in two-way analysis of variance . Statistica Neerlandica 26 : 61 – 68 .
- Corsten , L. C. , Van Eijnsbergen , A. C. ( 1974 ). Addendum to multiplicative effects in two-way analysis of variance . Statistica Neerlandica 27 : 51 .
- Hegemann , V. , Johnson , D. E. ( 1976 ). On analyzing two-way AoV data with interaciton . Technometrics 18 : 273 – 281 .
- Johnson , D. E. , Graybill , F. A. ( 1972 ). An analysis of a two-way model with interaction and no replication . J. Amer. Statist. Assoc. 67 : 862 – 868 .
- Johnson , N. L. , Kotz , S. ( 1995 ). Continuous Univariate Distributions . Vol. 2 . New York : John Wiley & Sons .
- Mandel , J. ( 1961 ). Non-additivity in two-way analysis of variance . J. Amer. Statist. Assoc. 56 : 878 – 888 .
- Mandel , J. ( 1971 ). A new analysis of variance model for non-additivity . Technometrics 13 : 1 – 18 .
- Milliken , G. A. , Rasmuson , D. (1977). A heuristic technique for testing the presence of interaction in nonreplicated factorial experiments. Austral. J. Statist. 19:32–38.
- Ostle , B. ( 1963 ). Statistics in Research, Basic Concepts and Techniques for Research Works. , 2nd ed . The Iowa State University Press .
- Ott , R. E. , Snee , R. D. ( 1973 ). Identifying useful differences in a multiple-head machine . J. Qual. Technol. 5 : 45 – 57 .
- Piepho , H.-P. ( 1994 ). On the tests for interaction in a nonreplicated two-way layout . Austral. J. Statist. 36 ( 3 ): 363 – 369 .
- Snee , R. D. ( 1982 ). Nonadditivity in a two-way classification: Is it interaction or nonhomogeneous variance? J. Amer. Statist. Assoc. 77 : 515 – 519 .
- Speed , F. M. , Speed , F. M. ( 1994 ). An ad-hoc diagnostic tool for checking for interaction in a nonreplicated experiment . Commun. Statist. Theor. Meth. 23 ( 54 ): 1364 – 1374 .
- Tukey , J. W. ( 1949 ). One degree of freedom for non-additivity . Biometrics 5 : 232 – 242 .
- Tusell , F. ( 1990 ). Testing for interaction in two-way ANOVA tables with no replication . Computat. Statist. Data Anal. 10 : 29 – 45 .
- Yochmowitz , M. G. , Cornell , R. G. ( 1978 ). Stepwise tests for multiplicative components of interaction . Technometrics 20 : 79 – 84 .