In this paper, we propose a general class of covariate-adjusted response-adaptive (CARA) designs based on a new functional urn model. We prove strong consistency concerning the functional urn proportion and the proportion of subjects assigned to the treatment groups, in the whole study and for each covariate profile, allowing the distribution of the responses conditioned on covariates to be estimated nonparametrically. In addition, we establish joint central limit theorems for the above quantities and the sufficient statistics of features of interest, which allow to construct procedures to make inference on the conditional response distributions. These results are then applied to typical situations concerning Gaussian and binary responses.

Aletti, G., Ghiglietti, A., Rosenberger, W. (2017). Nonparametric covariate-adjusted response-adaptive design based on a functional urn model. ANNALS OF STATISTICS, 46(6B), 3838-3866 [10.1214/17-AOS1677].

Nonparametric covariate-adjusted response-adaptive design based on a functional urn model

Ghiglietti, A;
2017

Abstract

In this paper, we propose a general class of covariate-adjusted response-adaptive (CARA) designs based on a new functional urn model. We prove strong consistency concerning the functional urn proportion and the proportion of subjects assigned to the treatment groups, in the whole study and for each covariate profile, allowing the distribution of the responses conditioned on covariates to be estimated nonparametrically. In addition, we establish joint central limit theorems for the above quantities and the sufficient statistics of features of interest, which allow to construct procedures to make inference on the conditional response distributions. These results are then applied to typical situations concerning Gaussian and binary responses.
Si
Articolo in rivista - Articolo scientifico
Scientifica
Clinical trials; Covariate-adjusted analysis; Inference; Large sample theory; Personalized medicine; Randomization;
English
3838
3866
29
Aletti, G., Ghiglietti, A., Rosenberger, W. (2017). Nonparametric covariate-adjusted response-adaptive design based on a functional urn model. ANNALS OF STATISTICS, 46(6B), 3838-3866 [10.1214/17-AOS1677].
Aletti, G; Ghiglietti, A; Rosenberger, W
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/391732
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