|
|
Unemployment Duration in the Czech Republic Through the Lens of Survival Analysis
Čabla, Adam ; Malá, Ivana (advisor) ; Komárková, Lenka (referee) ; Popelka, Jan (referee)
In the presented thesis the aim is to apply methods of survival analysis to the data from the Labour Force Survey, which are interval-censored. With regard to this type of data, I use specific methods designed to handle them, especially Turnbull estimate, weighted log-rank test and the AFT model. Other objective of the work is the design and application of a methodology for creating a model of unemployment duration, depending on the available factors and its interpretation. Other aim is to evaluate evolution of the probability distribution of unemployment duration and last but not least aim is to create more accurate estimate of the tail using extreme value theory. The main benefits of the thesis can include the creation of a methodology for examining the data from the Labour Force Survey based on standard techniques of survival analysis. Since the data are internationally comparable, the methodology is applicable at the level of European Union countries and several others. Another benefit of this work is estimation of the parameters of the generalized Pareto distribution on interval-censored data and creation and comparison of the models of piecewise connected distribution functions with solution of the connection problem. Work brought empirical results, most important of which is the comparison of results from three different data approaches and specific relationship between selected factors and time to find a job or spell of unemployment.
|
|
|
Survival Analysis in R
Pásztor, Bálint ; Malá, Ivana (advisor) ; Čabla, Adam (referee)
Survival analysis is a statistical discipline that analyzes the time to occurrence of certain events. The aim of this thesis is to describe the possibilities of survival analysis in the environment of statistical software R. Theoretical knowledge is applied to real data, parametric and nonparametric estimates of survival functions are evaluated by different methods and compared with each other. In the section focusing on nonparametric models Kaplan-Meier and Nelson-Aalen functions are described. Among the parametric estimates there were included well-known probability distributions, survival functions and risk functions derived from these distributions are presented and there is discussed their usefulness in survival analysis. Another aim is to show the possibility of deriving transition probabilities from estimates and building a Markov chain model to capture the changes of studied cohort over time. The second part of the work contains a description of the applications of the theory of survival analysis. In this section there are shown possibilities of statistical modeling in the field of survival analysis using the software R. Outputs from R were used to create Markov model. There are presented possibilities of pharmacoeconomic models and description of the basic concepts of HTA. Cost-effectiveness calculations using ICER were conducted in accordance with the methodology of SUKL. It was shown that the statistical modelling of survival plays an important role in the evaluation of the cost-effectiveness of medicines.
|
|
|
Comparing of length of employment before and during the financial crisis
Vágner, Hubert ; Čabla, Adam (advisor) ; Malá, Ivana (referee)
In this bachelor thesis I introduce survival analysis and distribution of time-to-event. The analyzied subject is the resignation from work. It means that I find out and compare how long on average people had work before the financial recession of 2008-2009 and during the time period of the 2010-2011 recession. The data gathered is from the Labor Force Survey, which is produced by the Czech Statistical Office. I used interval censoring to gather the data for the average length of the working ratio. This means that we know that the observed event happened in a given interval, in this case the intervals are individual survays. First of all, it's necessary to estimate the survival function. We shall do this with the help of the nonparametrical Turnbull's estimate for data in interval censoring. Than we calculate individual averages. The empirical part will consist of individual comparisons of the survival function and the average lengths of the working ratio, first for the overall population, second for separate genders and finally for various education levels.
|
|
| |
|
| |
|
| |
|
|
Length of doctoral studies at the Faculty of Informatics and Statistics
Hybšová, Aneta ; Malá, Ivana (advisor) ; Čabla, Adam (referee)
This thesis describes the survival analysis, exactly Kaplan-Meier estimate. A main part of the thesis deals with the problem of censored data, which is typical for survival analysis. The empirical part describes lenght of PhD studies at the Faculty of Informatics and Statistics and their "survival" in studies by Kaplan-Meier curves. First are analyzed uncensored data and then the whole data set (censored and uncensored data).
|
|
| |
|
| |
|
| |
guest ::
