Τo μoντέλο δόση - απόκριση και οι εφαρμογές του στην βιοστατιστική

Πατμίου, Αναστασία

The dose response model and its application to biostatistics

Master Thesis

Author

Πατμίου, Αναστασία

Date

2023-09

Abstract

The dose-response model examines how a substance or drug influences a biological system concerning the amount of dose administered. It aids in determining whether the response increases or decreases in proportion to the given dose and finds applications across multiple domains. This model's objective is to enhance the appraisal of drug and chemical substance efficacy and safety, thereby contributing to refining pharmaceutical treatment and human well-being. In the initial chapter, we delve into the concept and modeling of the dose-response model, explore different measurements like ED_50, and analyze various dose-response curves. All graphs featured in this chapter are generated utilizing Microsoft Excel and R software. The subsequent chapter entails the mathematical scrutiny of dose-response models. This segment assesses distinct dose-response models, link functions, their extensions, and the regression involving three parameters. The third chapter contains applications of various models using the statistical package R. We utilize the drc library, from which we extract the majority of our data. More specifically, in this section, we compare the logit, probit, and cloglog models (data from: Jeske, D. R., Xu, H. K., Blessinger, T., Jensen, P., and Trumble, J. (2009)). We examine continuous response when we have a dose-response curve (data from: Inderjit and J. C. Streibig, and M. Olofsdotter (2002)), and two dose-response curves (data from: Christensen, M. G. and Teicher, H. B., and Streibig, J. C. (2003)). Finally, we investigate binomial response using non-linear regression (data from: Nina Cedergreen (2013)). Ultimately, we provide an overview of the outcomes derived from each application, aiming to encapsulate the fundamental findings reached post-analysis.

Postgraduate Studies Programme

Εφαρμοσμένη Στατιστική

Department

Σχολή Χρηματοοικονομικής και Στατιστικής. Τμήμα Στατιστικής και Ασφαλιστικής Επιστήμης

Number of pages

Language

Greek

URI

https://dione.lib.unipi.gr/xmlui/handle/unipi/15833
http://dx.doi.org/10.26267/unipi_dione/3255

Collections

Τμήμα Στατιστικής και Ασφαλιστικής Επιστήμης

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Except where otherwise noted, this item's license is described as
Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ελλάδα