Nonparametric repeated significance tests for some analysis of covariance models
- 1 January 1979
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 8 (8) , 819-841
- https://doi.org/10.1080/03610927908827801
Abstract
For a general class of nonparametric analysis of covariance problems (with stochastic covariates), some repeated significance testing procedures are developed. These procedures rest on the construction of suitable rank order statistics based on the partial sequence of sample sizes and allow for a monitoring of experimentation with the objective of a possible early termination of experimentation. The basic theory is based on the weak convergence of certain stochastic processes relating to the rank order statistics. Various properties of the proposed tests are discussed.Keywords
This publication has 12 references indexed in Scilit:
- Nonparametric tests for multiple regression under progressive censoringJournal of Multivariate Analysis, 1978
- A two sample wilcoxon test for progressively censored dataCommunications in Statistics - Theory and Methods, 1978
- Rank Statistics, Martingales and Limit Theorems**Work partially supported by the Air Force Office of Scientific Research, U.S.A.F., Grant NO. AFOSR 74-2736 and partially by a grant of the Deutsche Forschungsgemeinschaft.Published by Elsevier ,1975
- Asymptotic distribution of rank statistics used for multivariate testing symmetryJournal of Multivariate Analysis, 1971
- Martingale Central Limit TheoremsThe Annals of Mathematical Statistics, 1971
- A Class of Rank Order Tests for a General Linear HypothesisThe Annals of Mathematical Statistics, 1969
- Analysis of Covariance Based on General Rank ScoresThe Annals of Mathematical Statistics, 1969
- Rank Analysis of CovarianceJournal of the American Statistical Association, 1967
- Non-Parametric Tests for the Bivariate Two-Sample Location ProblemCalcutta Statistical Association Bulletin, 1964
- A Modification of the Sequential Probability Ratio Test to Reduce the Sample SizeThe Annals of Mathematical Statistics, 1960