Survival Analysis with Correlated Endpoints
Home > Mathematics and Science Textbooks > Mathematics > Probability and statistics > Survival Analysis with Correlated Endpoints: Joint Frailty-Copula Models
Survival Analysis with Correlated Endpoints: Joint Frailty-Copula Models

Survival Analysis with Correlated Endpoints: Joint Frailty-Copula Models

|
     4  |  8 Reviews 
5
4
3
2
1




International Edition


About the Book

This book introduces readers to advanced statistical methods for analyzing survival data involving correlated endpoints. In particular, it describes statistical methods for applying Cox regression to two correlated endpoints by accounting for dependence between the endpoints with the aid of copulas. The practical advantages of employing copula-based models in medical research are explained on the basis of case studies. In addition, the book focuses on clustered survival data, especially data arising from meta-analysis and multicenter analysis. Consequently, the statistical approaches presented here employ a frailty term for heterogeneity modeling. This brings the joint frailty-copula model, which incorporates a frailty term and a copula, into a statistical model. The book also discusses advanced techniques for dealing with high-dimensional gene expressions and developing personalized dynamic prediction tools under the joint frailty-copula model. To help readers apply the statistical methods to real-world data, the book provides case studies using the authors’ original R software package (freely available in CRAN). The emphasis is on clinical survival data, involving time-to-tumor progression and overall survival, collected on cancer patients. Hence, the book offers an essential reference guide for medical statisticians and provides researchers with advanced, innovative statistical tools. The book also provides a concise introduction to basic multivariate survival models.

Table of Contents:
Chapter 1: Setting the scene.-1.1 Endpoints.- 1.2 Benefits of investigating correlated endpoints.- 1.3 Copulas and frailty: a brief history.- References.- Chapter 2: Introduction to survival analysis .-2.1 Endpoint and censoring.- 2.2 Kaplan-Meier estimator and survival function.- 2.3 Hazard function.- 2.4 Log-rank test for two-sample comparison.- 2.5 Cox regression.- 2.6 Example of Cox regression.- 2.7 Likelihood inference under non-informative censoring.- 2.8 Theoretical notes.- 2.9 Exercises.- References.- Chapter 3: The joint frailty-copula model for correlated endpoints.- 3.1 Introduction.- 3.2 Semi-competing risks data.- 3.3 Joint frailty-copula model.- 3.4 Penalized likelihood with splines.- 3.5 Case study: ovarian cancer data.- 3.6 Technical note 1: Numerical maximization of the penalized likelihood.- 3.7 Technical note 2: LCV and choice of   and  .- 3.8 Exercises.- References.- Chapter 4: High-dimensional covariates in the joint frailty-copula model.- 4.1 Introduction.- 4.2 Tukey’s compound covariate.- 4.3 Univariate selection.- 4.4 Meta-analytic data with high-dimensional covariates.- 4.5 The joint model with compound covariates .- 4.6 The joint model with ridge or Lasso predictor .- 4.7 Prediction of patient-level survival function .- 4.8 Simulations.- 4.8.1 Simulation design.- 4.8.2 Simulation results.- 4.9 Case study: ovarian cancer data .- 4.9.1 Compound covariate.- 4.9.2 Fitting the joint frailty-copula mode.- 4.9.3 Patient-level survival function.- 4.10 Concluding remarks.- References.- Chapter 5: Dynamic prediction of time-to-death.- 5.1 Accurate prediction of survival.- 5.2 Framework of dynamic prediction.- 5.2.1 Conditional failure function given tumour progression.- 5.2.2 Conditional hazard function given tumour progression.- 5.3 Prediction formulas under the joint frailty-copula model.- 5.4 Estimating prediction formulas.- 5.5 Case study: ovarian cancer data.- 5.6 Discussions.- References.- Chapter 6: Future developments- 6.1 Analysis of recurrent events.- 6.2 Kendall’s tau in meta-analysis.- 6.3 Validation of surrogate endpoints.- 6.4 Left-truncation.- 6.5 Interactions.- 6.6 Parametric failure time models.- 6.7 Compound covariate.- References.- Appendix A: Cubic spline bases.- Appendix B: R codes for the ovarian cancer data analysis.- B1. Using CXCL12 gene as a covariate.- B2. Using compound covariates (CCs) and residual tumour as covariates.- Appendix C: Derivation of prediction formulas.


Best Sellers


Product Details
  • ISBN-13: 9789811335150
  • Publisher: Springer Verlag, Singapore
  • Publisher Imprint: Springer Verlag, Singapore
  • Height: 235 mm
  • No of Pages: 118
  • Returnable: Y
  • Width: 155 mm
  • ISBN-10: 981133515X
  • Publisher Date: 04 Apr 2019
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Sub Title: Joint Frailty-Copula Models


Similar Products

Add Photo
Add Photo

Customer Reviews

     4  |  8 Reviews 
out of (%) reviewers recommend this product
Top Reviews
Rating Snapshot
Select a row below to filter reviews.
5
4
3
2
1
Average Customer Ratings
     4  |  8 Reviews 
00 of 0 Reviews
Sort by :
Active Filters

00 of 0 Reviews
SEARCH RESULTS
1–2 of 2 Reviews
    BoxerLover2 - 5 Days ago
    A Thrilling But Totally Believable Murder Mystery

    Read this in one evening. I had planned to do other things with my day, but it was impossible to put down. Every time I tried, I was drawn back to it in less than 5 minutes. I sobbed my eyes out the entire last 100 pages. Highly recommend!

    BoxerLover2 - 5 Days ago
    A Thrilling But Totally Believable Murder Mystery

    Read this in one evening. I had planned to do other things with my day, but it was impossible to put down. Every time I tried, I was drawn back to it in less than 5 minutes. I sobbed my eyes out the entire last 100 pages. Highly recommend!


Sample text
Photo of
    Media Viewer

    Sample text
    Reviews
    Reader Type:
    BoxerLover2
    00 of 0 review

    Your review was submitted!
    Survival Analysis with Correlated Endpoints: Joint Frailty-Copula Models
    Springer Verlag, Singapore -
    Survival Analysis with Correlated Endpoints: Joint Frailty-Copula Models
    Writing guidlines
    We want to publish your review, so please:
    • keep your review on the product. Review's that defame author's character will be rejected.
    • Keep your review focused on the product.
    • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
    • Refrain from mentioning competitors or the specific price you paid for the product.
    • Do not include any personally identifiable information, such as full names.

    Survival Analysis with Correlated Endpoints: Joint Frailty-Copula Models

    Required fields are marked with *

    Review Title*
    Review
      Add Photo Add up to 6 photos
      Would you recommend this product to a friend?
      Tag this Book Read more
      Does your review contain spoilers?
      What type of reader best describes you?
      I agree to the terms & conditions
      You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

      CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

      These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


      By submitting any content to Bookswagon, you guarantee that:
      • You are the sole author and owner of the intellectual property rights in the content;
      • All "moral rights" that you may have in such content have been voluntarily waived by you;
      • All content that you post is accurate;
      • You are at least 13 years old;
      • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
      You further agree that you may not submit any content:
      • That is known by you to be false, inaccurate or misleading;
      • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
      • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
      • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
      • For which you were compensated or granted any consideration by any unapproved third party;
      • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
      • That contains any computer viruses, worms or other potentially damaging computer programs or files.
      You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


      For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


      All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

      Accept

      New Arrivals

      Inspired by your browsing history


      Your review has been submitted!

      You've already reviewed this product!