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Tolerance Factors in Multiple and Multivariate Linear Regressions

K. Krishnamoorthy, Sumona Mondal
2008 Communications in statistics. Simulation and computation  
Acknowledgments The authors are grateful to the reviewer of their earlier article (Krishnamoorthy and Mondal, 2006) who brought their attention to the present multivariate regression problem.  ...  They are also thankful to a reviewer for providing useful comments and suggestions.  ...  Then A = Y − 0 − BX Y − 0 − BX = Y I n − PX XPX −1 XP Y (2.3) Tolerance Factors in Multiple and Multivariate Linear Regressions 549 where P is as defined in (2.1).  ... 
doi:10.1080/03610910701812444 fatcat:6x2nhbyy7bgd3plnp7g6pu6xmu

The Measurement of School Sports Atmosphere and the Relation Between Middle School Students Scientific Creativity

Peng Hou, Shaoyong Yu
2020 Journal of Higher Education Research  
Conclusion — The school sports atmosphere covers 13 items in three dimensions: self-identification, teacher-student trust, and school environment. The overall Cronbachα value of the scale is 0.865.  ...  The two dimensions of self-identification and teacher-student trust can significantly positively predict the product improvement ability, experimental design ability and technical product design ability  ...  Multiple linear regression analysis of school sports atmosphere and creative experimental design ability After multiple linear regression, the explanatory power of creative experiment design ability in  ... 
doi:10.32629/jher.v1i3.195 fatcat:v46nybkg7jaz5ljlzvzkkown44

Page 486 of Mathematical Reviews Vol. 58, Issue 1 [page]

1979 Mathematical Reviews  
“Perfect” and “best approximate” aggregation are studied for the multivariate regression model, and their implications for the Leontief model are discussed in detail.  ...  Variables can enter a regression with each having only moderate multiple correlation with the previously entered variables, so the tolerance tests are passed, while the multiple correlation of the first  ... 

Use of Factor Scores for Predicting Body Weight from Some Morphometric Measurements of Two Fish Species in Nigeria

Abdulmojeed Yakubu, Samuel A. Okunsebor, Alex A. Kigbu, Akeem O. Sotolu, Terzungwe D. Imgbian
2012 Journal of Agricultural Science  
Their respective factor scores fitted separately in a multiple linear regression model as explanatory variables accounted for 76.6% and 84.5% of the variation in the body weight of the two fish species  ...  The statistical approach adopted was the multivariate principal component factor analysis technique.  ...  Factor score values of the respective two and three factors of Oreochromis niloticus and Lates niloticus were used separately as explanatory variables in multiple linear regression model to predict body  ... 
doi:10.5539/jas.v4n8p60 fatcat:ny3nio5wgzfqpnm4pjxxxywlvq

Author Response: Model-Fitting Adequacy and Clinical Rationality in Multivariate Linear Regression Analysis

Laurence Shen Lim, Tien Yin Wong
2010 Investigative Ophthalmology and Visual Science  
The variance inflation factor can be used to evaluate the extent of collinearity, but selection of independent variables should not depend only on that factor.  ...  The criterion of P Ͻ 0.05 may be too strict for backward selection in this study, since the adjusted R 2 statistics were all less than 0.2.  ...  Author Response: Model-Fitting Adequacy and Clinical Rationality in Multivariate Linear Regression Analysis We are grateful for the interest shown by Hsieh in our paper on the distribution and determinants  ... 
doi:10.1167/iovs.10-5894 fatcat:4kbewsegnreulm4w52esybuow4

Page 691 of Human Biology Vol. 75, Issue 5 [page]

2003 Human Biology  
Additionally, the interaction of genotype and gender, of genotype and glucose tolerance status, and of genotype in two different loci was tested in a multivariate model adjusted for the above-mentioned  ...  Linearity between phenotypic variables and alleles IBD in the dizygotic twins were assessed using the procedure GLM (General Linear Model).  ... 

Multivariate relationships between international normalized ratio and vitamin K-dependent coagulation-derived parameters in normal healthy donors and oral anticoagulant therapy patients

Cezary Watala, Jacek Golanski, Przemyslaw Kardas
2003 Thrombosis Journal  
Due to collinearity and low tolerance of independent variables included in the multiple regression models, we routinely employed a ridge multiple regression model which compromises the minimal number of  ...  In statistical evaluation, the uni- and multivariate analyses were employed and the regression equations describing the obtained associations were estimated.  ...  In the multivariate analysis of all data we used finally the ridge regression model of multiple regression (standard and stepwise approaches of multiple regression analysis).  ... 
doi:10.1186/1477-9560-1-7 pmid:14969588 pmcid:PMC317378 fatcat:m2bev7lmebbvtmj7lk6ul3unyy

A Note on Triangular Decomposition and Measures of Ill-Conditioned Matrices

Hei-Ki Dong, Gary L. Thomasson
1983 Educational and Psychological Measurement  
Multiple regression analysis. In A. Ralston and H. Wilf (Eds.), Mathematical methods for digital computers. New York: Wiley, 1960. Fox, L. Introduction to numerical linear algebra.  ...  A note on checking tolerance in matrix inversion and regression. Technometrics, 1977, 19, 513-514. h 5- a & DONG AND THOMASSON 337 Harman, H. H. Modern factor analysis (3rd ed.).  ... 
doi:10.1177/001316448304300202 fatcat:noky3wn7gbamzlngf5hnd64qva

Resource Factors Affecting Labour Demandfor Textile and Garment Industry in Thailand

K. Leerojanaprapa, K. Bhundarak
2017 Journal of Industrial Engineering and Management Science  
The result of analysis by multiple linear regression are used to explain how particular resource factors affect labour demand for textile and garment industry in Thailand by comparing between textile and  ...  companies (ISIC CODE 13111) and in garment industry represented by the manufacturer of work wear (ISIC CODE 14111) in Thailand by multiple regression with and without variable transformation.  ...  Therefore, we assume that there is no first order linear auto-correlation in the multiple linear regression data.  ... 
doi:10.13052/jiems2446-1822.2017.013 fatcat:ay5wrxqbsnanvmmfxyq6huapci

Designing intelligent disaster prediction models and systems for debris-flow disasters in Taiwan

Hsu-Yang Kung, Chi-Hua Chen, Hao-Hsiang Ku
2012 Expert systems with applications  
The proposed prediction models are based on linear regression, multivariate analysis, and back-propagation networks.  ...  The chosen disaster factors in this study are classified as non-real-time factors and real-time factors.  ...  NSC 100-2218-E-020-001 and NSC 100-2218-E-020-002.  ... 
doi:10.1016/j.eswa.2011.11.083 fatcat:bajcsdzrxvahpaizsgix4mdq2a

Soluble CD163: a biomarker linking macrophages and insulin resistance

T. Parkner, L. P. Sørensen, A. R. Nielsen, C. P. Fischer, B. M. Bibby, S. Nielsen, B. K. Pedersen, H. J. Møller
2012 Diabetologia  
Methods This cross-sectional study includes 234 participants: 96 with type 2 diabetes, 34 with impaired glucose tolerance (IGT) and 104 with normal glucose tolerance (NGT), matched for sex and BMI.  ...  Glucose-lowering medication was paused for 1 week before plasma samples were obtained for determination of sCD163 and other inflammatory and metabolic variables.  ...  Contribution statement CPF, SN, BKP and HJM contributed to the conception and design of the study. TP, LPS, ARN, CPF, BMB and HJM analysed the data.  ... 
doi:10.1007/s00125-012-2533-1 pmid:22450890 fatcat:iy7dbwtp2ngrtfrivj2qwzevva

Association Between Visceral Fat Accumulation and Exercise Tolerance in Non-Obese Subjects Without Diabetes

Miki Shioya-Yamada, Kazunori Shimada, Miho Nishitani-Yokoyama, Eiryu Sai, Kageumi Takeno, Yoshifumi Tamura, Hirotaka Watada, Ryuzo Kawamori, Hiroyuki Daida, Sachio Kawai
2018 Journal of Clinical Medicine Research  
Multivariate linear regression analyses demonstrated that visceral fat area, but not abdominal circumference, was significantly and independently associated with maximal oxygen uptake.  ...  We examined the associations between visceral fat accumulation, presence of the components of metabolic syndrome (MetS), and exercise tolerance in non-obese subjects without diabetes.  ...  Table 4 . 4 Multiple Linear Regression Analysis of Factors on Exercise Tolerance in Non-Obese Subjects β P  ... 
doi:10.14740/jocmr3403w pmid:29977420 pmcid:PMC6031249 fatcat:o34nvzvqhvajhhrzmo2ssg626u

Optimal tolerance regions for future regression vector and residual sum of squares of multiple regression model with multivariate spherically contoured errors

Shahjahan Khan
2007 Statistical Papers  
The results in this paper are applicable for multiple regression model with normal and Student-t errors.  ...  This paper considers multiple regression model with multivariate spherically symmetric errors to determine optimal β-expectation tolerance regions for the future regression vector (FRV) and future residual  ...  Acknowledgements The author is grateful to the Coordinating Editor and two unknown referees for some valuable suggestions that have improved the quality of the paper.  ... 
doi:10.1007/s00362-007-0095-y fatcat:pc7qbvpqrrfqld7glkbcbdehti

Modelling of Fuel Flow in Climb Phase Through Multiple Linear Regression Based on the Data Collected by Quick Access Recorder

Chungang Qu, Huiling Cao, Shuang Sun, Meijian Xu
2019 Journal Europeen des Systemes Automatises  
On this basis, the fuel flow model for the climb phase was established through stepwise linear regression and corrected in the light of the tolerance and variance inflation factor (VIF) of each variable  ...  This paper performs stepwise linear regression of the data collected by a quick access recorder (QAR), and creates a model of the fuel flow of Boeing 737-700 in the climb phase.  ...  Analysis of the preliminary model The tolerance and variance inflation factor (VIF) of each variable in the preliminary linear regression model are shown in Table 2 .  ... 
doi:10.18280/jesa.520411 fatcat:sziz44ch2rgdlld7wbnoi5q6my

Principal component regression of the morphostructural traits of West African dwarf sheep

A. A. Bello-ibiyemi, A. A., Bello-ibiyemi, M. Wheto, A. S. Adenaike, J. S. Decampos, D.O. Ogunlakin, M. Atunnise, S. Shola, C.O.N Ikeobi
2021 Nigerian Journal of Animal Production  
sheep of age range 0-1, 1-2, 2-3 and 3-4 was used in determining age and sex effects using General linear model procedure.  ...  Multicollinearity contrast at variance inflation factor (VIF) threshold 3.0 was found to be most associated with rump height, hearth girth and body length; with low tolerance modules.  ...  Based on stepwise elimination procedure, HG, HL and WH were better in predicting live weight in multiple linear regression models.  ... 
doi:10.51791/njap.v43i2.963 fatcat:f6zxps4hh5fghltqsqwbdx6dom
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