THE BOX-COX TRANSFORMATION AND NON-ITERATIVE ESTIMATION METHODS FOR ORDINAL LOG-LINEAR MODELS

被引：4

作者：

Beh, Eric J. ^{[1
]}

Farver, Thomas B. ^{[2
]}

机构：

[1] Univ Newcastle, Sch Math & Phys Sci, Callaghan, NSW 2308, Australia

[2] Univ Calif Davis, Dept Populat Hlth & Reprod, Sch Vet Med, Davis, CA 95616 USA

来源：

AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS | 2012年 / 54卷 / 04期

关键词：

Box-Cox transformation; linear-by-linear association; Newton's unidimensional method; ordinal log-linear model; ASSOCIATION; CLASSIFICATIONS;

D O I：

10.1111/anzs.12007

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Recently Beh and Farver investigated and evaluated three non-iterative procedures for estimating the linear-by-linear parameter of an ordinal log-linear model. The study demonstrated that these non-iterative techniques provide estimates that are, for most types of contingency tables, statistically indistinguishable from estimates from Newton's unidimensional algorithm. Here we show how two of these techniques are related using the BoxCox transformation. We also show that by using this transformation, accurate non-iterative estimates are achievable even when a contingency table contains sampling zeros.

引用

页码：475 / 484

页数：10

共 30 条

[21] Maximum profile binomial likelihood estimation for the semiparametric Box-Cox power transformation model
Li, Pengfei
Yu, Tao
Chen, Baojiang
Qin, Jing
ELECTRONIC JOURNAL OF STATISTICS, 2023, 17 (02): : 2317 - 2342
[22] A Study of Non-normal Process Capability Analysis Based on Box-Cox Transformation
Yang, Yanming
Zhu, Huayuan
2018 3RD INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND APPLICATIONS (ICCIA), 2018, : 240 - 243
[23] Fault Detection for Non-Gaussian Processes Using Multiple Canonical Correlation Analysis Models and Box-Cox Transformation
Wang, Ping
Long, Zhiqiang
Lv, Zhiguo
Wang, Zhiqiang
IEEE ACCESS, 2019, 7 : 68707 - 68717
[24] Box-Cox Transformation Approach for Evaluating Non-Normal Processes Capability Based on the Cpk Index
Wu, C. H.
Lin, S. J.
Yang, D. L.
Pearn, W. L.
JOURNAL OF TESTING AND EVALUATION, 2014, 42 (04) : 949 - 961
[25] Remaining Useful Life Prediction for Lithium-Ion Batteries Based on Capacity Estimation and Box-Cox Transformation
Xue, Qiao
Shen, Shiquan
Li, Guang
Zhang, Yuanjian
Chen, Zheng
Liu, Yonggang
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, 2020, 69 (12) : 14765 - 14779
[26] Linking ordinal log-linear models with Correspondence Analysis: an application to estimating drug-likeness in the drug discovery process
Zafar, S.
Cheema, S. A.
Beh, E. J.
Hudson, I. L.
Hudson, S. A.
Abell, A. D.
20TH INTERNATIONAL CONGRESS ON MODELLING AND SIMULATION (MODSIM2013), 2013, : 1945 - 1951
[27] Automatic differentiation of Box-Cox transformations with application to random effects models for continuous non-normal response
Alex Stringer
Statistics and Computing, 2022, 32
[28] Automatic differentiation of Box-Cox transformations with application to random effects models for continuous non-normal response
Stringer, Alex
STATISTICS AND COMPUTING, 2022, 32 (05)
[29] Interval Fuzzy c-Bivariate Regression Models with Box-Cox Transformation Clustering Approach for the Interval-Valued Data
Jeng, Jin-Tsong
Chuang, Chen-Chia
Lin, Tzu-Yun
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2025,
[30] Relationship between metallothioneins and metals in a natural population of the clam Ruditapes decussatus from Sfax coast:: a non-linear model using Box-Cox transformation
Hamza-Chaffai, A
Amiard, JC
Cosson, RP
COMPARATIVE BIOCHEMISTRY AND PHYSIOLOGY C-TOXICOLOGY & PHARMACOLOGY, 1999, 123 (02): : 153 - 163

← 1 2 3 →