Goodness of fit test for general linear model with nonignorable missing on response variable

Fayyaz Bahari (), Safar Parsi () and Mojtaba Ganjali ()
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Fayyaz Bahari: University of Mohaghegh Ardabili
Safar Parsi: University of Mohaghegh Ardabili
Mojtaba Ganjali: Shahid Beheshti University

AStA Advances in Statistical Analysis, 2021, vol. 105, issue 1, No 7, 163-196

Abstract: Abstract In this paper, we consider a general linear model where missing data occur in the response variable with a nonignorable mechanism. Also, to deal with missing data, we assume that the probability of missing data follows a logistic model. The main purpose of this paper is to construct some test functions to check the goodness of fit of the general linear model based on the score-type test. To achieve this aim, we use two appropriate estimating models and we construct two test functions based on these models. The asymptotic properties of the test functions are obtained under the null and the alternative hypotheses based on the estimated tilting parameter. The performances of the test functions are checked by some simulation studies. Also, these methods are used to check goodness of fit of the fitted models for real data.

Keywords: General linear model; Missing data; Goodness of fit test; Score-type test; Tilting parameter (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:alstar:v:105:y:2021:i:1:d:10.1007_s10182-020-00367-4

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DOI: 10.1007/s10182-020-00367-4

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