• Title/Summary/Keyword: Quasi-Log Linear models

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Identification of Multiple Outlying Cells in Multi-way Tables

  • Lee, Jong Cheol;Hong, Chong Sun
    • Communications for Statistical Applications and Methods
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    • v.7 no.3
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    • pp.687-698
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    • 2000
  • An identification method is proposed in order to detect more than one outlying cells in multi-way contingency tables. The iterative proportional fitting method is applied to get expected values of several suspected outlying cells. Since the proposed method uses minimal sufficient statistics under quasi log-linear models, expected counts of outlying cells could be estimated under any hierarchical log-linear models. This method is an extension of the backwards-stepping method of Simonoff(1988) and requires les iteration to identify outlying cells.

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Estimating Missing Cells in Contingency Table with IPE (반복비율적합에 의한 다차원 분할표의 결측칸값 추정)

  • 최현집;신상준
    • The Korean Journal of Applied Statistics
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    • v.13 no.1
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    • pp.197-206
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    • 2000
  • For estimating missing cells in contingency table, we suggest an iterative method which extends IPF (Iterative Proportional Fitting) method. The suggested m~thod is not restricted by the number and the location of missing cells, and does not distort the given quasi-independency.

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Improvement of Suspended Solid Loads Estimation in Nakdong River Using Minimum Variance Unbiased Estimator (비편향 회귀분석모형을 이용한 낙동강 본류 부유사량 산정방법의 신뢰도 향상)

  • Han, Suhee;Kang, Du Kee;Shin, Hyun Suk;Yu, Jae-Jeong;Kim, Sangdan
    • Journal of Korean Society on Water Environment
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    • v.23 no.2
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    • pp.251-259
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    • 2007
  • In this study three log-transformed linear regression models are compared with the focus of bias correction problem. The models are the traditional simple linear regression estimator (SL), the quasi maximum likelihood estimator (QMLE) and the minimum variance unbiased estimator (MVUE). Using such models, suspended solid loads can be estimated using the discharge - suspended solid data set that has been measured by NIER Nakdong River Water Environment Laboratory. As a result, SL shows negative bias for most values of the measured discharge range. QMLE is nearly unbiased for moderate values of the measured discharge range, but shows increasingly positive bias for either large or small value of the measured discharge range. MVUE is unbiased. It is also analyzed how the estimated regression coefficient and exponent are distributed along Nakdong river main stream.