IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v102y2011i8p1175-1193.html
   My bibliography  Save this article

A new class of minimum power divergence estimators with applications to cancer surveillance

Author

Listed:
  • Martín, Nirian
  • Li, Yi

Abstract

The annual percent change (APC) has been adopted as a useful measure for analyzing the changing trends of cancer mortality and incidence rates by the NCI SEER program. Difficulties, however, arise when comparing the sample APCs between two overlapping regions because of induced dependence (e.g., comparing the cancer mortality change rate of California with that of the national level). This paper deals with a new perspective for understanding the sample distribution of the test-statistics for comparing the APCs between overlapping regions. Our proposal allows for computational readiness and easy interpretability. We further propose a more general family of estimators, namely, the so-called minimum power divergence estimators, including the maximum likelihood estimators as a special case. Our simulation experiments support the superiority of the proposed estimator to the conventional maximum likelihood estimator. The proposed method is illustrated by the analysis of the SEER cancer mortality rates observed from 1991 to 2006.

Suggested Citation

  • Martín, Nirian & Li, Yi, 2011. "A new class of minimum power divergence estimators with applications to cancer surveillance," Journal of Multivariate Analysis, Elsevier, vol. 102(8), pages 1175-1193, September.
    • Handle: RePEc:eee:jmvana:v:102:y:2011:i:8:p:1175-1193
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0047259X11000492
    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. Michael P. Fay & Ram C. Tiwari & Eric J. Feuer & Zhaohui Zou, 2006. "Estimating Average Annual Percent Change for Disease Rates without Assuming Constant Change," Biometrics, The International Biometric Society, vol. 62(3), pages 847-854, September.
    2. Yi Li & Ram C. Tiwari, 2008. "Comparing Trends in Cancer Rates Across Overlapping Regions," Biometrics, The International Biometric Society, vol. 64(4), pages 1280-1286, December.
    Full references (including those not matched with items on IDEAS)

    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. Suzanne Bock & Douglas G. Hoffmann & Yi Jiang & Hao Chen & Dora Il’yasova, 2020. "Increasing Incidence of Liposarcoma: A Population-Based Study of National Surveillance Databases, 2001–2016," IJERPH, MDPI, vol. 17(8), pages 1-12, April.
    2. Marcin Mikos & Tomasz Banas & Aleksandra Czerw & Bartłomiej Banas & Łukasz Strzępek & Mateusz Curyło, 2021. "Hospital Inpatient Falls across Clinical Departments," IJERPH, MDPI, vol. 18(15), pages 1-10, August.
    3. Bibha Dhungel & Maaya Kita Sugai & Stuart Gilmour, 2019. "Trends in Suicide Mortality by Method from 1979 to 2016 in Japan," IJERPH, MDPI, vol. 16(10), pages 1-13, May.
    4. Yi Li & Ram C. Tiwari, 2008. "Comparing Trends in Cancer Rates Across Overlapping Regions," Biometrics, The International Biometric Society, vol. 64(4), pages 1280-1286, December.
    5. Li-Chu Chien & Yuh-Jenn Wu & Chao A. Hsiung & Lu-Hai Wang & I-Shou Chang, 2015. "Smoothed Lexis Diagrams With Applications to Lung and Breast Cancer Trends in Taiwan," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 110(511), pages 1000-1012, September.
    6. Nicole M. Robertson & Todd Burus & Lauren Hudson & Pamela C. Hull & Lee Park & Nathan L. Vanderford, 2023. "Lung and Colorectal Cancer Disparities in Appalachian Kentucky: Spatial Analysis on the Influence of Education and Literacy," IJERPH, MDPI, vol. 20(14), pages 1-14, July.

    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:jmvana:v:102:y:2011:i:8:p:1175-1193. 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/wps/find/journaldescription.cws_home/622892/description#description .

    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.