Values below detection limit in compositional chemical data

Analytica Chimica Acta

Volumn 764, Issue , 2013, Pages 32-43

  Palarea Albaladejo, J ^a   Martin Fernandez J A ^b  

^a BIOMATHEMATICS AND STATISTICS SCOTLAND   (United Kingdom)

^b UNIVERSITY OF GIRONA   (Spain)

Author keywords

Compositional data; Detection limits; Expectation Maximisation algorithm; Imputation methods; Log normal distribution; Log ratio approach

Indexed keywords

COMPOSITIONAL DATA; DETECTION LIMITS; EXPECTATION-MAXIMISATION; IMPUTATION METHODS; LOG-NORMAL DISTRIBUTION; LOG-RATIO APPROACH;

ALGORITHMS;

CHEMICAL DETECTION;

ALGORITHM; ANALYTIC METHOD; ARTICLE; CHEMICAL ANALYSIS; CHEMICAL COMPOSITION; CHEMOMETRIC ANALYSIS; CONCENTRATION (PARAMETERS); DATA ANALYSIS; INTERMETHOD COMPARISON; LIMIT OF DETECTION; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL PARAMETERS; PHYSICAL CHEMISTRY; PRIORITY JOURNAL; PROBABILITY; REFERENCE VALUE; STATISTICAL ANALYSIS;

EID: 84873100116     PISSN: 00032670     EISSN: 18734324     Source Type: Journal    
DOI: 10.1016/j.aca.2012.12.029     Document Type: Article

References (41)

1. Zhang C., O'Connor P. Appl. Geochem. 2005, 20:1737-1745.
2. Demertzis M.A. Anal. Chim. Acta 2004, 505:73-76.
3. Sotiropoulou S., Chaniotakis N.A. Anal. Chim. Acta 2005, 530:199-204.
4. Páscoa R.N.M.J., Tóth I.V., Rangel A.O.S.S. Anal. Chim. Acta 2012, 10.1016/j.aca.2012.05.058.
5. Helsel D.R., Gilliom R.J. Water Resour. Res. 1986, 22:147-155.
6. Aruga R. Anal. Chim. Acta 1997, 354:255-262.
7. Helsel D.R. Statistics for Censored Environmental Data using Minitab and R 2012, Wiley, Hoboken. Second edition.
8. Varmuza K., Filzmoser P. Introduction to Multivariate Statistical Analysis in Chemometrics 2009, CRC Press, Boca Raton.
9. Pearson K. Proc. R. Soc. Lond. 1897, 60:489-502.
10. Aitchison J. The Statistical Analysis of Compositional Data 1986, Chapman and Hall Ltd., London, (Reprinted 2003 with additional material by The Blackburn Press).
11. Martín-Fernández J.A., Palarea-Albaladejo J., Olea R.A. Compositional Data Analysis: Theory and Applications 2011, 43-58. John Wiley & Sons Ltd, Chichester. Pawlowsky-Glahn, Buccianti (Eds.).
12. Compositional Data Analysis: Theory and Applications 2011, John Wiley & Sons Ltd, Chichester. V. Pawlowsky-Glahn, A. Buccianti (Eds.).
13. Billheimer D., Guttorp P., Fagan W.F. JASA 2001, 96:1205-1214.
14. Pawlowsky-Glahn V., Egozcue J.J. SERRA 2001, 15:384-398.
15. Palarea-Albaladejo J., Martín-Fernández J.A., Soto J.A. J. Classif. 2012, 29:144-169.
16. Aitchison J., Shen S.M. Biometrika 1980, 67:261-272.
17. Egozcue J.J., Pawlowsky-Glahn V., Mateu-Figueras G., Barceló-Vidal C. Math. Geol. 2003, 35:279-300.
18. Egozcue J.J., Pawlowsky-Glahn V. Math. Geol. 2005, 37:795-828.
19. Pawlowsky-Glahn V., Egozcue J.J. Aust. J. Stat. 2011, 40:103-113.
20. Hron K., Templ M., Filzmoser P. Comput. Stat. Data Anal. 2010, 54:3095-3107.
21. Martín-Fernández J.A., Barceló-Vidal C., Pawlowsky-Glahn V. Math. Geol. 2003, 35:253-278.
22. Palarea-Albaladejo J., Martín-Fernández J.A. Comput. Geosci. 2008, 34:902-917.
23. Buccianti A. Compositional Data Analysis: Theory and Applications 2011, 255-266. John Wiley & Sons Ltd, Chichester. Pawlowsky-Glahn, Buccianti (Eds.).
24. Cohen A.C. Technometrics 1959, 1:217-237.
25. Cohen A.C. Technometrics 1961, 3:535-541.
26. Schneider H. Truncated and Censored Samples from Normal Population 1986, Marcel Dekker Inc., New York.
27. L. Lee, NADA: Nondetects and Data Analysis for Environmental Data, R Package Version 1.5-3, 2010. Available at: http://CRAN.R-project.org/package=NADA.
28. Palarea-Albaladejo J., Martín-Fernández J.A., Gómez-García J. Math. Geol. 2007, 39:625-645.
29. Amemiya T. J. Econometrics 1984, 24:3-61.
30. Dempster A.P., Laird N.M., Rubin D.B. J. R. Stat. Soc. 1977, 39:1-38.
31. Martín-Fernández J.A., Hron K., Templ M., Filzmoser P., Palarea-Albaladejo J. Comput. Stat. Data Anal. 2012, 56:2688-2704.
32. Maronna R.A., Martin R.D., Yohai V.J. Robust Statistics: Theory and Methods 2006, Wiley & Sons Ltd, Canada.
33. Filzmoser P., Hron K. Compositional Data Analysis: Theory and Applications 2011, 59-72. John Wiley & Sons Ltd, Chichester. Pawlowsky-Glahn, Buccianti (Eds.).
34. Mateu-Figueras G., Pawlowsky-Glahn V. Math. Geosci. 2008, 40:489-502.
35. Janssen K.H.A., De Raedt I., Schalm O., Veeckman J. Microchim. Acta 1998, 15:253-267.
36. P. Filzmoser, K. Varmuza, Chemometrics: Multivariate Statistical Analysis in Chemometrics, R Package Version 1.3.2, 2011. Available at: . http://CRAN.R-project.org/package=chemometrics.
37. Aitchison J., Greenacre M. Appl. Stat. 2002, 51:375-392.
38. Helsel D.R. Nondetects and Data Analysis: Statistics for Censored Environmental Data 2005, John Wiley and Sons, New York.
39. Chernick M.R. Bootstrap Methods: A Guide for Practitioners and Researchers 2008, Wiley-Interscience, Hoboken.
40. Olea R.A. Proceedings of the 3rd Compositional Data Analysis Workshop 2008, Universitat de Girona, Spain. J. Daunis-i-Estadella, J.A. Martín-Fernández (Eds.).
41. Palarea-Albaladejo J., Martín-Fernández J.A., Olea R.A. Proceedings of the 4th Compositional Data Analysis Workshop 2011, Universitat de Girona, Spain. J.J. Egozcue, R. Tolosana-Delgado, M.I. Ortego (Eds.).