Missing value estimation methods for data in linear functional relationship model

Adilah Abdul Ghapor, and Yong Zulina Zubairi, and A.H.M. Rahmatullah Imon, (2017) Missing value estimation methods for data in linear functional relationship model. Sains Malaysiana, 46 (2). pp. 317-326. ISSN 0126-6039


Official URL: http://www.ukm.my/jsm/english_journals/vol46num2_2...


Missing value problem is common when analysing quantitative data. With the rapid growth of computing capabilities, advanced methods in particular those based on maximum likelihood estimation has been suggested to best handle the missing values problem. In this paper, two modern imputing approaches namely expectation-maximization (EM) and expectation-maximization with bootstrapping (EMB) are proposed in this paper for two kinds of linear functional relationship (LFRM) models, namely LFRM1 for full model and LFRM2 for linear functional relationship model when slope parameter is estimated using a nonparametric approach. The performance of EM and EMB are measured using mean absolute error, root-mean-square error and estimated bias. The results of the simulation study suggested that both EM and EMB methods are applicable to the LFRM with EMB algorithm outperforms the standard EM algorithm. Illustration using a practical example and a real data set is provided.

Item Type:Article
Keywords:Bootstrap; Expectation-maximization; Linear functional relationship model; Missing value
Journal:Sains Malaysiana
ID Code:10685
Deposited By: ms aida -
Deposited On:18 Sep 2017 06:49
Last Modified:20 Sep 2017 09:07

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