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Niansheng Tang - One of the best experts on this subject based on the ideXlab platform.

  • Simultaneous Confidence Interval for assessing non inferiority with assay sensitivity in a three arm trial with binary endpoints
    Pharmaceutical Statistics, 2020
    Co-Authors: Niansheng Tang
    Abstract:

    A three-arm trial including an experimental treatment, an active reference treatment and a placebo is often used to assess the non-inferiority (NI) with assay sensitivity of an experimental treatment. Various hypothesis-test-based approaches via a fraction or pre-specified margin have been proposed to assess the NI with assay sensitivity in a three-arm trial. There is little work done on Confidence Interval in a three-arm trial. This paper develops a hybrid approach to construct Simultaneous Confidence Interval for assessing NI and assay sensitivity in a three-arm trial. For comparison, we present normal-approximation-based and bootstrap-resampling-based Simultaneous Confidence Intervals. Simulation studies evidence that the hybrid approach with the Wilson score statistic performs better than other approaches in terms of empirical coverage probability and mesial-non-coverage probability. An example is used to illustrate the proposed approaches.

Yaeji Lim - One of the best experts on this subject based on the ideXlab platform.

  • Simultaneous Confidence Interval for quantile regression
    Computational Statistics, 2015
    Co-Authors: Yaeji Lim
    Abstract:

    This paper considers a problem of constructing Simultaneous Confidence Intervals for quantile regression. Recently, Krivobokova et al. (J Am Stat Assoc 105:852---863, 2010) provided Simultaneous Confidence Intervals for penalized spline estimator. However, it is well known that the conventional mean-based penalized spline and its Confidence Intervals collapse when data are not normally distributed such as skewed or heavy-tailed, and hence, the resultant Confidence Intervals further provide low coverage probability. To overcome this problem, this paper proposes a new approach that constructs Simultaneous Confidence Intervals for penalized quantile spline estimator, which yields a desired coverage probability. The results obtained from numerical experiments and real data validate the effectiveness of the proposed method.

John J Peterson - One of the best experts on this subject based on the ideXlab platform.

A G Belov - One of the best experts on this subject based on the ideXlab platform.

Koon Shing Kwong - One of the best experts on this subject based on the ideXlab platform.

  • on sample size and quick Simultaneous Confidence Interval estimations for multinomial proportions
    Journal of Computational and Graphical Statistics, 1998
    Co-Authors: Koon Shing Kwong
    Abstract:

    Abstract Asymptotically, sample proportions from a multinomial distribution converge in distribution to a multivariate normal distribution with a singular negative product correlation structure. Based on this result, we propose a new approach to estimate the sample size requirement for constructing quick Simultaneous Confidence Intervals (QSCI) for multinomial proportions. In addition, this new approach can be used to construct QSCI and provides a statistical justification to the reports of the opinion polling.