PENDUGAAN DATA HILANG DENGAN METODE YATES DAN ALGORITMA EM PADA RANCANGAN LATTICE SEIMBANG

  • MADE SUSILAWATI Faculty of Mathematics and Natural Sciences, Udayana University
  • KARTIKA SARI Faculty of Mathematics and Natural Sciences, Udayana University

Abstract

Missing data often occur in agriculture and animal husbandry experiment. The missing data in experimental design makes the information that we get less complete. In this research, the missing data was estimated with Yates method and Expectation Maximization (EM) algorithm. The basic concept of the Yates method is to minimize sum square error (JKG), meanwhile the basic concept of the EM algorithm is to maximize the likelihood function. This research applied Balanced Lattice Design with 9 treatments, 4 replications and 3 group of each repetition. Missing data estimation results showed that the Yates method was better used for two of missing data in the position on a treatment, a column and random, meanwhile the EM algorithm was better used to estimate one of missing data and two of missing data in the position of a group and a replication. The comparison of the result JKG of ANOVA showed that JKG of incomplete data larger than JKG of incomplete data that has been added with estimator of data. This suggest  thatwe need to estimate the missing data.

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Author Biographies

MADE SUSILAWATI, Faculty of Mathematics and Natural Sciences, Udayana University
Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University
KARTIKA SARI, Faculty of Mathematics and Natural Sciences, Udayana University
Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University
Published
2015-05-30
How to Cite
SUSILAWATI, MADE; SARI, KARTIKA. PENDUGAAN DATA HILANG DENGAN METODE YATES DAN ALGORITMA EM PADA RANCANGAN LATTICE SEIMBANG. E-Jurnal Matematika, [S.l.], v. 4, n. 2, p. 74 - 82, may 2015. ISSN 2303-1751. Available at: <https://ojs.unud.ac.id/index.php/mtk/article/view/13551>. Date accessed: 29 mar. 2024. doi: https://doi.org/10.24843/MTK.2015.v04.i02.p092.
Section
Articles

Keywords

Missing Data; Yates method; EM algorithm; Balanced Lattice Design

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