IDEAS home Printed from https://ideas.repec.org/a/eee/csdana/v52y2008i8p4091-4103.html
   My bibliography  Save this article

Notes on interval estimation of risk difference in stratified noncompliance randomized trials: A Monte Carlo evaluation

Author

Listed:
  • Lui, Kung-Jong

Abstract

When comparing an experimental treatment with a standard treatment in a randomized clinical trial (RCT), we often use the risk difference (RD) to measure the efficacy of an experimental treatment. In this paper, we have developed four asymptotic interval estimators for the RD in a stratified RCT with noncompliance. These include an asymptotic interval estimator based on the weighted-least-squares (WLS) estimator of the RD, an asymptotic interval estimator using tanh-1(x) transformation with the WLS optimal weight, an asymptotic interval estimator derived from Fieller's Theorem, and an asymptotic interval estimator using a randomization-based approach. Based on Monte Carlo simulations, we have compared these four asymptotic interval estimators with the asymptotic interval estimator recently proposed elsewhere. We have found that when the probability of compliance is high, the interval estimator using a randomization-based approach is probably more accurate than the others, especially when the stratum size is not large. When the probability of compliance is moderate, the interval estimator using tanh-1(x) transformation is likely to be the best among all interval estimators considered here. We note that the interval estimator proposed elsewhere can be of use when the underlying RD is small, but lose accuracy when the RD is large. We also note that when the number of patients per assigned treatment is large, the four asymptotic interval estimators developed here are essentially equivalent; they are all appropriate for use. Finally, to illustrate the use of these interval estimators, we consider the data taken from a large field trial studying the effect of a multifactor intervention program on reducing the mortality of coronary heart disease in middle-aged men.

Suggested Citation

  • Lui, Kung-Jong, 2008. "Notes on interval estimation of risk difference in stratified noncompliance randomized trials: A Monte Carlo evaluation," Computational Statistics & Data Analysis, Elsevier, vol. 52(8), pages 4091-4103, April.
  • Handle: RePEc:eee:csdana:v:52:y:2008:i:8:p:4091-4103
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-9473(08)00033-9
    Download Restriction: Full text for ScienceDirect subscribers only.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Shigeyuki Matsui, 2005. "Stratified Analysis in Randomized Trials with Noncompliance," Biometrics, The International Biometric Society, vol. 61(3), pages 816-823, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lui, Kung-Jong & Chang, Kuang-Chao, 2009. "Interval estimation of odds ratio in a stratified randomized clinical trial with noncompliance," Computational Statistics & Data Analysis, Elsevier, vol. 53(7), pages 2754-2766, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bandyopadhyay, Uttam & Sarkar, Suman & Biswas, Atanu, 2022. "Sequential confidence interval for comparing two Bernoulli distributions in a non-conventional set-up," Statistics & Probability Letters, Elsevier, vol. 181(C).
    2. Kung-Jong Lui & Kuang-Chao Chang, 2010. "Notes on odds ratio estimation for a randomized clinical trial with noncompliance and missing outcomes," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(12), pages 2057-2071.
    3. Lui, Kung-Jong & Chang, Kuang-Chao, 2008. "Testing homogeneity of risk difference in stratified randomized trials with noncompliance," Computational Statistics & Data Analysis, Elsevier, vol. 53(1), pages 209-221, September.
    4. Lui, Kung-Jong & Cumberland, William G., 2008. "Notes on estimation of proportion ratio under a non-compliance randomized trial with missing outcomes," Computational Statistics & Data Analysis, Elsevier, vol. 52(9), pages 4325-4345, May.
    5. Lui, Kung-Jong & Chang, Kuang-Chao, 2009. "Interval estimation of odds ratio in a stratified randomized clinical trial with noncompliance," Computational Statistics & Data Analysis, Elsevier, vol. 53(7), pages 2754-2766, May.
    6. Ali Reza Soltanian & Soghrat Faghihzadeh, 2012. "A generalization of the Grizzle model to the estimation of treatment effects in crossover trials with non-compliance," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(5), pages 1037-1048, October.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:csdana:v:52:y:2008:i:8:p:4091-4103. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/csda .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.