Year 2016, Volume 4, Issue 1, Pages 1 - 10 2016-03-11

COMPARISON OF METHODS OF ESTIMATING VARIANCE COMPONENTS IN NESTED DESIGNS
COMPARISON OF METHODS OF ESTIMATING VARIANCE COMPONENTS IN BALANCED TWO-WAY RANDOM NESTED DESIGNS

Ebru Kaya BAŞAR [1] , Mehmet Ziya FIRAT [2]

1171 925

The objective of this paper is to compare different methods of estimating variance components, such as analysis of variance (ANOVA), maximum likelihood (ML), restricted maximum likelihood (REML) and Bayesian. The ANOVA method for estimating variance components is based on equating the mean squares to their expectations. However, the problem with this method is that it gives negative estimates of variance components. This can be overcame by the use of likelihood based methods and Bayesian. In this study, four different methods of estimating variance components were compared and also demonstrated how these methods overcome the problem of negative estimates of variance components in balanced two-way random nested designs.

Bu çalışmanın amacı, varyansı analizi (ANOVA), en çok olabilirlik (ML), kısıtlanmış en çok olabilirlik (REML) ve Bayesyen gibi farklı varyans unsurları tahmin yöntemlerini karşılaştırmaktır. ANOVA yöntemi kareler ortalamalarının beklenen değerlerine eşitlenmesine dayanır. Ancak bu yöntemin varyans unsurlarının negatif tahminlerini vermesi bir problem teşkil eder. Olabilirlik yöntemlerine dayanan metotlar ve Bayesyen yöntemle bu problemin üstesinden gelinebilir. Bu çalışmada varyans unsurlarının dört farklı yöntemle tahminleri karşılaştırılmıştır. Ayrıca dengeli iki seviyeli şansa bağlı iç içe düzenlenmiş deneme planlarının varyans unsurlarının negatif tahmin probleminin üstesinden nasıl gelineceği gösterilmiştir
Varyans unsurları, Bayesyen analiz, REML, ML
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Journal Section Articles
Authors

Author: Ebru Kaya BAŞAR

Author: Mehmet Ziya FIRAT

Bibtex @ { aubtdb262700, journal = {ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences}, issn = {2146-0272}, eissn = {2146-0191}, address = {Eskişehir Teknik Üniversitesi}, year = {2016}, volume = {4}, pages = {1 - 10}, doi = {10.20290/btdb.11983}, title = {COMPARISON OF METHODS OF ESTIMATING VARIANCE COMPONENTS IN NESTED DESIGNS}, key = {cite}, author = {BAŞAR, Ebru Kaya and FIRAT, Mehmet Ziya} }
APA BAŞAR, E , FIRAT, M . (2016). COMPARISON OF METHODS OF ESTIMATING VARIANCE COMPONENTS IN NESTED DESIGNS. ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences, 4 (1), 1-10. DOI: 10.20290/btdb.11983
MLA BAŞAR, E , FIRAT, M . "COMPARISON OF METHODS OF ESTIMATING VARIANCE COMPONENTS IN NESTED DESIGNS". ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences 4 (2016): 1-10 <http://dergipark.org.tr/aubtdb/issue/24861/262700>
Chicago BAŞAR, E , FIRAT, M . "COMPARISON OF METHODS OF ESTIMATING VARIANCE COMPONENTS IN NESTED DESIGNS". ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences 4 (2016): 1-10
RIS TY - JOUR T1 - COMPARISON OF METHODS OF ESTIMATING VARIANCE COMPONENTS IN NESTED DESIGNS AU - Ebru Kaya BAŞAR , Mehmet Ziya FIRAT Y1 - 2016 PY - 2016 N1 - doi: 10.20290/btdb.11983 DO - 10.20290/btdb.11983 T2 - ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences JF - Journal JO - JOR SP - 1 EP - 10 VL - 4 IS - 1 SN - 2146-0272-2146-0191 M3 - doi: 10.20290/btdb.11983 UR - https://doi.org/10.20290/btdb.11983 Y2 - 2019 ER -
EndNote %0 ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences COMPARISON OF METHODS OF ESTIMATING VARIANCE COMPONENTS IN NESTED DESIGNS %A Ebru Kaya BAŞAR , Mehmet Ziya FIRAT %T COMPARISON OF METHODS OF ESTIMATING VARIANCE COMPONENTS IN NESTED DESIGNS %D 2016 %J ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences %P 2146-0272-2146-0191 %V 4 %N 1 %R doi: 10.20290/btdb.11983 %U 10.20290/btdb.11983
ISNAD BAŞAR, Ebru Kaya , FIRAT, Mehmet Ziya . "COMPARISON OF METHODS OF ESTIMATING VARIANCE COMPONENTS IN NESTED DESIGNS". ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY –B Theoretical Sciences 4 / 1 (March 2016): 1-10. https://doi.org/10.20290/btdb.11983