Statistické metody pro analýzu dat s chybějícími pozorováními

Mechanisms of missing data and methods of their treatment are de- scribed in this thesis. Three mechanisms are considered - MCAR, MAR, MNAR. Two simple methods using deletion of incomplete records are introduced and their properties and shortcomings are described. Further, the principle of simple im...

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Bibliographic Details
Main Author: Janoušková, Kateřina
Other Authors: Omelka, Marek
Format: Dissertation
Language:Czech
Published: 2017
Online Access:http://www.nusl.cz/ntk/nusl-352436
Description
Summary:Mechanisms of missing data and methods of their treatment are de- scribed in this thesis. Three mechanisms are considered - MCAR, MAR, MNAR. Two simple methods using deletion of incomplete records are introduced and their properties and shortcomings are described. Further, the principle of simple imputations is explained. EM algorithm which uses the classical statistics and the algorithm of data augmentation based on Bayesian framework are derived and compared. The last method included in the thesis is the multiple imputation. The described methods are applied on real data set, first on continuous variables and then on a two dimensional contingency table. 1