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題名 存活資料之樹狀模型研究
作者 何秋穎
He, Qiu-Ying
貢獻者 陳麗霞
Chen, Li-Xia
何秋穎
He, Qiu-Ying
日期 1995
上傳時間 28-Apr-2016 15:06:25 (UTC+8)
參考文獻 l. Ahn, H. S., Loh, W. Y. (1994) " Tree-structured proportional hazards regression modeling ". Biometrics, 50, pp.471-485 .
2. Andrews, D. F. (1985) "Data: a collection of problems from many fie Ids for the student and research worker". New York: Springer-Verlag.
3. Breiman, L., Friedman, J. H., Olshen, R. A and Stone, C. J. (1984) "Classification
and regression trees". Pacific Grove, CA: Wadsworth.
4. Breslow, N. (1974) "Covariance analysis of censored survival data", Biometrics, 30, pp.89-99.
5. Chen, C-H, Wang, P. C. (1991) "Diagnostic plots in Cox`s regression model`. Biometrics, 47, pp.841-850.
6. Ciampi, A (1991) "Generalized regression tree". Computational Statistics and Data Analysis, 12, pp.57-78.
7. Ciampi, A and Thiffault, J. (1989) "Pruning regression trees for censored survival data: the RECPAM approach". Communications in Statistics-Theory and Methods, 18, pp.33 78-33 88.
8. Ciampi, A, Hogg, S.A, Mckinney, S., Thiffault, J. (1998) "RECPAM: A computer program for recursive partition and amalgamation for censored survival data and other situations frequently occurring in biostatistics". Computer Methods and Programs in Biomedicine, 26, pp. 23 9-25 6.
9. Ciampi, A, Lawless, J. F., Mckinney, S. M., Singhal, K. (1988) "Regression and recursive partition strategies in the analysis of medical survival data". Journal of Clinical Epidemiology, 41, pp.737-748.
10. Ciampi, A, Thiffault, J., Nakache, J. P., Asselain, B. (1986) "Stratification by stepwise regression, correspondence analysis and recursive partition: a comparison of three methods of analysis for survival data with covariates". Computational Statistics and Data Analysis, 4, pp.185-204.
11. Collett, D. (1994) "Modeling survival data in medical research". London: Chapman & Hall.
12. Cox, D. R. (1972) "Regression models and life table". Journal of the Royal Statistical Society, Series B, 34, pp.187-202
13. Cox, D. R. (1975) "Partial likelihood`. Biometrika , 62, pp.269-276. 14. Davis, R. B., Anderson, J. R. (1989) "Exponential survival trees". Statistics in Medicine, 8, pp.947-961.
15. Fleming, T. R. , Harrington, D. P. (1990) "Counting processes and survival analysis", New York: Wiley.
16. Gail, M. and Simon, R. (1985) "Testing for qualitative interactions between treatment effects and patient subsets". Biometrics, 41, pp.361-371.
17. Gehan, E. A. (1965a) "A generalized Wilcoxon test for comparing arbitrarily singly-censored samples". Biometrika, 52, pp.203-223.
18. Gehan, E. A. (1965b) "A generalized Wilcoxon test for doubly-censored data". Biometrika, 52, pp.650-653.
19. Intrator, o., Kooperberg, C. (1995) "Trees and splines in survival analysis". Statistical Methods in Medical Research, 4, pp.237-261.
20. Kalbfleisch, J. D., Prentice, R. L. (1980) "The statistical analysis of failure time data". New York: Wiley.
2l. Kay, R. (1977) "Proportional hazard regression models and the analysis of censored survial data ". Applied Statistics, 26, No 3, pp.227-237.
22. KrishnaIyer, P . V. (1951) "A non-parametric method of testing k samples". Nature, 167, p.33.
23. Kruskal, W. H. (1952) "A non-parametric test for the several sample problems". Annals of Mathematical Statistics, 23, pp.525-540.
24. Kruskal, W. H., Wallis, W. A. (1952) "Use of ranks in one-criterion variance analysis". JASA, 47, No 260, pp.583-62 1.
25 . LeBlanc, M., Crowley, J. (1993) "Survival trees by goodness of split`. JASA, 88, No. 422, Theory and Methods. ppA57-467.
26. LeBlanc, M., Crowley, J. (1993) "Relative risk trees jar censored survival data". Biometics , 48, ppA11-425.
27. Lee, E. T. (1985) "Statistical methods for survival data analysis".
28. Lin, D. Y. (1991) "Analysis for the Cox regression model based 071 a class of
parameter estimators". JASA, 86, pp.725-728.
29. Lin, D. Y. (1992) "GOFCOX: A computer program for the goodness-of-fit analysis of the Cox proportional hazards model`. Computer Methods and Programs in Biomedicine, 38, pp.l0l -1 05 .
30. Loh, W. Y. (1991) "Survival modeling through recursive stratification". Computational Statistics and Data Analysis, 12, pp.295-313.
3l. Mantel, N., Haenszel, W. (1959) "Statistical aspects of the analysis of data from retrospective studies of disease ". Journal of the National Cancer Institute, 22, No 4, pp .719-748 .
32. Miller, R. G. (1981) "Survival Analysis". New York: Wiley.
33 . Morgan, J. N., Sonquist, J. A. (1963) "Problem in the analysis of survey data, and
a proposal". JAS A, 58, ppAI 5-434.
34. Peduzzi, P., Hardy, R., Holford, T. (1980) "A stepwise variable selection procedure jar nonlinear regression models`. Biometrics, 36, pp511 -516.
35 . Peto, R. (1972) "Discussions on Cox`s paper". Journal of the Royal Statistical Society, B, 34, pp.205-207.
36. Peto, R. and Peto, J. (1972) "A symptotically efficient rank invariant procedures`.
Journal of the Royal Statistical Society, Series A, 135, pp.185-207.
37. Prentice, R. L.,( 1978) "Linear rank tests with right-censored data". Biometrika, 65, pp 167-179.
38. SAS Instituts, Inc. (1985) "SAS user`s guide: statistics` .1990 edition, Cary, NC: SAS Instituts, Inc.
39. Schmoor, C., Ulm, K., Schumacher, M. (1993) "Comparison of the Cox model and the regression tree procedure in analysing a randomized clinical trail". Statistics in Medicine, 12, pp.2351-2366.
40. Schoenfeld, D. (1980) "Chi-squared goodness-of-fit tests Jar the proportional hazards regression model`. Biometrika, 67,1 , pp .145-253.
41. Segal, M. R. (1988) "Regression trees Jar censored data" . Biometrics, 44, pp .35-47.
42. Segal, M. R., Bloch, D. A. (1989) "A comparison of estimated proportional hazards models and regression trees" . Statistics in Medicine, 8, pp.539-550.
43. Spector, P. (1994) "An introduction to Sand S-PLUS". CA: Wadsworth.
44. Statistical Sciences, Inc.(1993) "S-PLUS programmer`s manual` ,version 3.1 , Seattle: Statistical Sciences ,Inc.
45. Tarone, R. E., Ware, J. (1977) "On distribution-free tests Jar equality of survival distributions", Biometrika, 64, pp.156-160.
46. Wei, L. J. (1984) "Testing goodness of fit for propotional hazards model with censored observations". JASA, 79, pp.649-652.
描述 碩士
國立政治大學
統計學系
資料來源 http://thesis.lib.nccu.edu.tw/record/#B2002003011
資料類型 thesis
dc.contributor.advisor 陳麗霞zh_TW
dc.contributor.advisor Chen, Li-Xiaen_US
dc.contributor.author (Authors) 何秋穎zh_TW
dc.contributor.author (Authors) He, Qiu-Yingen_US
dc.creator (作者) 何秋穎zh_TW
dc.creator (作者) He, Qiu-Yingen_US
dc.date (日期) 1995en_US
dc.date.accessioned 28-Apr-2016 15:06:25 (UTC+8)-
dc.date.available 28-Apr-2016 15:06:25 (UTC+8)-
dc.date.issued (上傳時間) 28-Apr-2016 15:06:25 (UTC+8)-
dc.identifier (Other Identifiers) B2002003011en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/87531-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 統計學系zh_TW
dc.description.tableofcontents 第一章緒論__________7
1.1研究動機與研究目的__________7
2.2研究方法_8
第二章幾種存活分析方法之介紹__________9
2.1存活分配的比較__________9
2.1.1兩存活分配間的比較__________9
2.1.2兩個以上存活分配間的比較__________10
2.2.2Cox迴歸模型__________12
2.2.3殘差分析__________14
2.2.4適合度檢定__________15
2.3層級與處理效果的交互作用__________17
第三章樹形迴歸__________18
3.1迴歸樹__________18
3.1.1簡介__________18
3.1.2AID的發展__________19
3.2CART程序__________21
3.3Cox迴歸樹__________26
3.3.1存活資料的樹狀模型__________26
3.3.2COXT程序__________27
第四章實例探討__________27
4.1Prostatic Cancer(前列腺癌)__________27
4.1.1變數說明__________27
4.1.2迴歸樹的建構與分析__________28
4.2Carcinoma of the Oropharynx(口咽癌)__________40
4.2.1變數說明__________40
4.2.2迴歸樹的建構與分析__________41
4.3PBC data(原發性膽道肝硬化)__________45
4.3.1變數說明__________45
4.3.2迴歸樹的建構與分析__________46
4.4CGD data(慢性肉芽腫性疾病)__________53
4.4.1變數說明__________53
4.4.2迴歸樹的建構與分析__________53
4.5Breast Cancer(乳癌)__________56
4.5.1變數說明__________56
4.5.2迴歸樹的建構與分析__________56
第五章結論與建議__________59
參考文獻__________61
附錄一__________66
附錄二__________96
zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002003011en_US
dc.title (題名) 存活資料之樹狀模型研究zh_TW
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) l. Ahn, H. S., Loh, W. Y. (1994) " Tree-structured proportional hazards regression modeling ". Biometrics, 50, pp.471-485 .
2. Andrews, D. F. (1985) "Data: a collection of problems from many fie Ids for the student and research worker". New York: Springer-Verlag.
3. Breiman, L., Friedman, J. H., Olshen, R. A and Stone, C. J. (1984) "Classification
and regression trees". Pacific Grove, CA: Wadsworth.
4. Breslow, N. (1974) "Covariance analysis of censored survival data", Biometrics, 30, pp.89-99.
5. Chen, C-H, Wang, P. C. (1991) "Diagnostic plots in Cox`s regression model`. Biometrics, 47, pp.841-850.
6. Ciampi, A (1991) "Generalized regression tree". Computational Statistics and Data Analysis, 12, pp.57-78.
7. Ciampi, A and Thiffault, J. (1989) "Pruning regression trees for censored survival data: the RECPAM approach". Communications in Statistics-Theory and Methods, 18, pp.33 78-33 88.
8. Ciampi, A, Hogg, S.A, Mckinney, S., Thiffault, J. (1998) "RECPAM: A computer program for recursive partition and amalgamation for censored survival data and other situations frequently occurring in biostatistics". Computer Methods and Programs in Biomedicine, 26, pp. 23 9-25 6.
9. Ciampi, A, Lawless, J. F., Mckinney, S. M., Singhal, K. (1988) "Regression and recursive partition strategies in the analysis of medical survival data". Journal of Clinical Epidemiology, 41, pp.737-748.
10. Ciampi, A, Thiffault, J., Nakache, J. P., Asselain, B. (1986) "Stratification by stepwise regression, correspondence analysis and recursive partition: a comparison of three methods of analysis for survival data with covariates". Computational Statistics and Data Analysis, 4, pp.185-204.
11. Collett, D. (1994) "Modeling survival data in medical research". London: Chapman & Hall.
12. Cox, D. R. (1972) "Regression models and life table". Journal of the Royal Statistical Society, Series B, 34, pp.187-202
13. Cox, D. R. (1975) "Partial likelihood`. Biometrika , 62, pp.269-276. 14. Davis, R. B., Anderson, J. R. (1989) "Exponential survival trees". Statistics in Medicine, 8, pp.947-961.
15. Fleming, T. R. , Harrington, D. P. (1990) "Counting processes and survival analysis", New York: Wiley.
16. Gail, M. and Simon, R. (1985) "Testing for qualitative interactions between treatment effects and patient subsets". Biometrics, 41, pp.361-371.
17. Gehan, E. A. (1965a) "A generalized Wilcoxon test for comparing arbitrarily singly-censored samples". Biometrika, 52, pp.203-223.
18. Gehan, E. A. (1965b) "A generalized Wilcoxon test for doubly-censored data". Biometrika, 52, pp.650-653.
19. Intrator, o., Kooperberg, C. (1995) "Trees and splines in survival analysis". Statistical Methods in Medical Research, 4, pp.237-261.
20. Kalbfleisch, J. D., Prentice, R. L. (1980) "The statistical analysis of failure time data". New York: Wiley.
2l. Kay, R. (1977) "Proportional hazard regression models and the analysis of censored survial data ". Applied Statistics, 26, No 3, pp.227-237.
22. KrishnaIyer, P . V. (1951) "A non-parametric method of testing k samples". Nature, 167, p.33.
23. Kruskal, W. H. (1952) "A non-parametric test for the several sample problems". Annals of Mathematical Statistics, 23, pp.525-540.
24. Kruskal, W. H., Wallis, W. A. (1952) "Use of ranks in one-criterion variance analysis". JASA, 47, No 260, pp.583-62 1.
25 . LeBlanc, M., Crowley, J. (1993) "Survival trees by goodness of split`. JASA, 88, No. 422, Theory and Methods. ppA57-467.
26. LeBlanc, M., Crowley, J. (1993) "Relative risk trees jar censored survival data". Biometics , 48, ppA11-425.
27. Lee, E. T. (1985) "Statistical methods for survival data analysis".
28. Lin, D. Y. (1991) "Analysis for the Cox regression model based 071 a class of
parameter estimators". JASA, 86, pp.725-728.
29. Lin, D. Y. (1992) "GOFCOX: A computer program for the goodness-of-fit analysis of the Cox proportional hazards model`. Computer Methods and Programs in Biomedicine, 38, pp.l0l -1 05 .
30. Loh, W. Y. (1991) "Survival modeling through recursive stratification". Computational Statistics and Data Analysis, 12, pp.295-313.
3l. Mantel, N., Haenszel, W. (1959) "Statistical aspects of the analysis of data from retrospective studies of disease ". Journal of the National Cancer Institute, 22, No 4, pp .719-748 .
32. Miller, R. G. (1981) "Survival Analysis". New York: Wiley.
33 . Morgan, J. N., Sonquist, J. A. (1963) "Problem in the analysis of survey data, and
a proposal". JAS A, 58, ppAI 5-434.
34. Peduzzi, P., Hardy, R., Holford, T. (1980) "A stepwise variable selection procedure jar nonlinear regression models`. Biometrics, 36, pp511 -516.
35 . Peto, R. (1972) "Discussions on Cox`s paper". Journal of the Royal Statistical Society, B, 34, pp.205-207.
36. Peto, R. and Peto, J. (1972) "A symptotically efficient rank invariant procedures`.
Journal of the Royal Statistical Society, Series A, 135, pp.185-207.
37. Prentice, R. L.,( 1978) "Linear rank tests with right-censored data". Biometrika, 65, pp 167-179.
38. SAS Instituts, Inc. (1985) "SAS user`s guide: statistics` .1990 edition, Cary, NC: SAS Instituts, Inc.
39. Schmoor, C., Ulm, K., Schumacher, M. (1993) "Comparison of the Cox model and the regression tree procedure in analysing a randomized clinical trail". Statistics in Medicine, 12, pp.2351-2366.
40. Schoenfeld, D. (1980) "Chi-squared goodness-of-fit tests Jar the proportional hazards regression model`. Biometrika, 67,1 , pp .145-253.
41. Segal, M. R. (1988) "Regression trees Jar censored data" . Biometrics, 44, pp .35-47.
42. Segal, M. R., Bloch, D. A. (1989) "A comparison of estimated proportional hazards models and regression trees" . Statistics in Medicine, 8, pp.539-550.
43. Spector, P. (1994) "An introduction to Sand S-PLUS". CA: Wadsworth.
44. Statistical Sciences, Inc.(1993) "S-PLUS programmer`s manual` ,version 3.1 , Seattle: Statistical Sciences ,Inc.
45. Tarone, R. E., Ware, J. (1977) "On distribution-free tests Jar equality of survival distributions", Biometrika, 64, pp.156-160.
46. Wei, L. J. (1984) "Testing goodness of fit for propotional hazards model with censored observations". JASA, 79, pp.649-652.
zh_TW