Applying of risk-adjusted CUSUM control chart monitoring of medical information

1. Applying of risk-adjusted CUSUM control chart monitoring of medical information Zi-HsuanChen Advisor: Jing-Er Chiu, Ph.D.

2. Contents

3. Research Reason

4. Research Purposes

5. Research Framework ARL • Time conditions CUSUM CUSUM ARL Logistic Model Cox Model Shoulder surgery

6. Limitations of Research • Biswas ed.(2008)

7. CUSUMControl Chart Proposed by Page(1954) Small process shifts

8. Applying Of CUSUM Control Chart In Medical

9. Logistic Regression Observed outcome can have only two possible Failure Success Source : Wikipedia

10. Applying Of Logistic Regression In Medical

11. Cox PH Model Use survival time Proposed by Cox(1972) Use the Logistic Model Method and Cox Model Method to compare the result ,which can quickly detect the patient has a shoulder joint shift or death situation. • Applying Of Cox Model In Medical

12. Research Process • Calculate and Simulation Collection and Simulation of patient information • Establish • Cox Model Establish Logistic Model • CUSUM control chart Notation and Assumptions • Calculate ARL • Comparative analysis • Conclusion

13. Object Of Study And Assumptions

14. Object Of Study And Assumptions

15. Logistic Model in CUSUM • Monitoring probability of Yt • Binary data is transformed into probability • Establish a Logistic Regression Model • Find the significant factor • Calculate the weight value • Steiner et al.(2000) • Draw CUSUM control chart

16. Cox Model in CUSUM • Monitoring probability of Yt • Yt of time conditions convert the probability of occurrence • Establish a Cox Regression Model • Find the significant factor • Calculate the weight value • Biswas ed.(2008) • Draw CUSUM control chart

17. Simulation ARL steps (Logistic Model ) • Simulate number of samples N • calculation the patient t the surgery the probability of failure • is true • To draw CUSUM control chart ， and monitoring control chart • In control • Randomly generated patient after surgery results Out –of-control ⇒ARL1 • is true • is true • is true • Steiner et al.(2000)

18. Simulation ARL steps(Cox Model ) • Calculate significant factor and Hazard ratio 。 • Simulate number of samples N , added time's condition • is true • To draw CUSUM control chart ， and monitoring control chart • Randomly generated patient after surgery results • In control Out –of-control ⇒ARL1 • is true • is true • is true • W • Biswas ed.(2008)

19. Expected Results

20. Future Research

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