Křivky závislosti odpovědi na dávce
| Thesis title in Czech: | Křivky závislosti odpovědi na dávce |
|---|---|
| Thesis title in English: | Dose-response curves |
| Key words: | Regrese; mnohonásobné porovnání; postupná změny; dávka; odpověď; křivky; MED; MCP-Mod; model; postupné; změny; vývoj; lék; Tox21 |
| English key words: | Regression; multiple comparison; gradual change; dose; response; curves; MED; MCP-Mod; gradual; change; model; drug; development; Tox21 |
| Academic year of topic announcement: | 2019/2020 |
| Thesis type: | diploma thesis |
| Thesis language: | čeština |
| Department: | Department of Probability and Mathematical Statistics (32-KPMS) |
| Supervisor: | doc. RNDr. Zdeněk Hlávka, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 09.10.2019 |
| Date of assignment: | 05.03.2020 |
| Confirmed by Study dept. on: | 16.03.2020 |
| Date and time of defence: | 07.09.2020 08:00 |
| Date of electronic submission: | 30.07.2020 |
| Date of submission of printed version: | 30.07.2020 |
| Date of proceeded defence: | 07.09.2020 |
| Opponents: | doc. RNDr. Matúš Maciak, Ph.D. |
| Advisors: | Mgr. Martin Otava, Ph.D. |
| Guidelines |
| Uchazeč představí a přehledně popíše klasické i nedávno navržené metody statistické analýzy křivek závislosti odpovědi na dávce. V diplomové práci se lze zabývat i souvislostmi s modelem postupné změny (Hušková, 1998; Jarušková, 1998, 2001). |
| References |
| Bornkamp, B., Pinheiro, J., Bretz, F. (2009). MCPMod: An R package for the design and analysis of dose-finding studies. Journal of Statistical Software, 29(7), 1-23.
Bretz F., Pinheiro J., Branson M. (2005). Combining Multiple Comparisons and Modeling Techniques in Dose-Response Studies. Biometrics, 61, 738–748. Csörgö, M., & Horváth, L. (1997). Limit theorems in change-point analysis. John Wiley & Sons Inc. Hušková, M. (1998). Estimators in the location model with gradual changes. Comment. Math. Univ. Carolin, 39(1), 147-157. Jarušková, D. (1998). Change-point estimator in gradually changing sequences. Comment. Math. Univ. Carolinae, 39, 551-561. Jarušková, D. (2001). Change-point estimator in continuous quadratic regression. Comment. Math. Univ. Carolin, 42(4), 741-752. O'Quigley, J., Iasonos, A., & Bornkamp, B. (Eds.). (2017). Handbook of Methods for Designing, Monitoring, and Analyzing Dose-Finding Trials. CRC Press. Robertson, T., Wright, F., and Dykstra, R. (1988). Restricted Statistical Inference. New York: Wiley. Tamhane, A., Dunnett, C., and Hochberg, Y. (1996). Multiple test procedures for dose finding. Biometrics 52, 21-37. Tukey J.W., Ciminera J.L., Heyse J.F. (1985). Testing the Statistical Certainty of a Response to Increasing Doses of a Drug. Biometrics, 41, 295–301. |