Regression Analysis in Analytical Chemistry. Determination and Validation of Linear and Quadratic Regression Dependencies

被引：21
|
作者：
Rawski, Rafai I. [1 ]
Sanecki, Przemyslaw T. [2 ]
Kijowska, Klaudia M. [2 ]
Skital, Piotr M. [2 ]
Saletnik, Dorota E. [2 ]
机构：
[1] Univ Rzeszow, Fac Biol & Agr, PL-35601 Rzeszow, Poland
[2] Rzeszow Univ Technol, Fac Chem, PL-35959 Rzeszow, Poland
来源：
SOUTH AFRICAN JOURNAL OF CHEMISTRY-SUID-AFRIKAANSE TYDSKRIF VIR CHEMIE | 2016年 / 69卷
关键词：
Correlation; regression; Lack of Fit test; Mandel test; calibration; CALIBRATION; NONLINEARITY;
D O I：
10.17159/0379-4350/2016/v69a20
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
The theory and practice of the extended statistical evaluation for linear and quadratic regression models used for calibration were presented. Two complete examples, solved step by step werepresented as a short guide. The validation of regression dependences was based on classic F-Snedecor, Lack of Fit, F-IUPAC and Mandel tests.
引用
收藏
页码：166 / 173
页数：8
相关论文
共 50 条
  • [1] A GENERAL LINEAR AND QUADRATIC REGRESSION ANALYSIS PROGRAM WITH CROSS-VALIDATION
    HOFFMAN, PJ
    BEHAVIORAL SCIENCE, 1966, 11 (06): : 497 - &
  • [2] Misuse of Linear Regression Technique in Analytical Chemistry?
    Aboal-Somoza, Manuel
    Crujeiras, Rosa M.
    JOURNAL OF CHEMICAL EDUCATION, 2024, 101 (03) : 1062 - 1070
  • [3] Deepest regression in analytical chemistry
    Rousseeuw, PJ
    Van Aelst, S
    Rambali, B
    Smeyers-Verbeke, J
    ANALYTICA CHIMICA ACTA, 2001, 446 (1-2) : 245 - 256
  • [4] Determination of Ventilatory Threshold through Quadratic Regression Analysis
    Gregg, Joey
    Wyatt, Frank
    Kilgore, Lon
    Pack, Cory
    MEDICINE AND SCIENCE IN SPORTS AND EXERCISE, 2008, 40 (05): : S388 - S388
  • [5] DETERMINATION OF VENTILATORY THRESHOLD THROUGH QUADRATIC REGRESSION ANALYSIS
    Gregg, Joey S.
    Wyatt, Frank B.
    Kilgore, J. Lon
    JOURNAL OF STRENGTH AND CONDITIONING RESEARCH, 2010, 24 (09) : 2512 - 2515
  • [6] Functional partial linear regression with quadratic regression for the multivariate predictor
    Huang, Huiyu
    Qin, Meng
    Qing, Peng
    Wang, Guochang
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024,
  • [7] MODEL FOR QUADRATIC OUTLIERS IN LINEAR REGRESSION
    ELASHOFF, JD
    JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1972, 67 (33) : 478 - &
  • [8] Validation of linear regression models
    Dette, H
    Munk, A
    ANNALS OF STATISTICS, 1998, 26 (02): : 778 - 800
  • [9] REGRESSION METHODS IN ANALYTICAL-CHEMISTRY
    HWANG, JD
    WINEFORDNER, JD
    PROGRESS IN ANALYTICAL SPECTROSCOPY, 1988, 11 (02): : 209 - 249
  • [10] Partially functional linear regression with quadratic regularization
    Zhang, Fode
    Lian, Heng
    INVERSE PROBLEMS, 2019, 35 (10)
12345