Functional regression analysis of fluorescence curves

Biometrics

Volumn 65, Issue 2, 2009, Pages 609-617

  Ritz, Christian ^a   Streibig, Jens C ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

Block resampling; Functional data; Multiplicative effects; Nonmonotonous inverse link; Nonparametric estimation; Quasi likelihood

Indexed keywords

MODEL CHECKING; REGRESSION ANALYSIS;

BLOCK RESAMPLING; CONFIDENCE INTERVAL; FUNCTIONAL DATAS; FUNCTIONAL REGRESSION; MULTIPLICATIVE EFFECTS; NON-PARAMETRIC ESTIMATIONS; NONMONOTONOI INVERSE LINK; QUASI-LIKELIHOOD; REGRESSION MODELLING; RESAMPLING;

FLUORESCENCE;

EXPERIMENTAL STUDY; FLUORESCENCE; GROWTH RESPONSE; MONITORING; PARAMETERIZATION; PHOTOSYNTHESIS; PLANT; REGRESSION ANALYSIS;

ARTICLE; COMPUTER SIMULATION; FLUORESCENCE; MATHEMATICAL MODEL; PHOTOSYNTHESIS; PLANT GROWTH; PREDICTION; RATING SCALE; REGRESSION ANALYSIS;

EID: 66949138473     PISSN: 0006341X     EISSN: 15410420     Source Type: Journal    
DOI: 10.1111/j.1541-0420.2008.01097.x     Document Type: Article

References (36)

1. Abbaspoor, M. and Streibig, J. C. (2005). Clodinafop changes the chlorophyll fluorescence induction curve. Weed Science 53, 1 9. (Pubitemid 44392163)
2. Cabanne, F. (2000). Increased efficacy of clodinafop-propargyl by terpineols and synergistic action with esterified fatty acids. Weed Research 40, 181 189. (Pubitemid 30236586)
3. Calabrese, E. J. and Baldwin, L. A. (2003). Toxicology rethinks its central belief. Nature 421, 691 692. (Pubitemid 36227604)
4. Cedergreen, N., Ritz, C., and Streibig, J. C. (2005). Improved empirical models describing hormesis. Environmental Toxicology and Chemistry 24, 3166 3172. (Pubitemid 41740683)
5. Chiou, J. M. and Müller, H. G. (1998). Quasi-likelihood regression with unknown link and variance functions. Journal of the American Statistical Association 93, 1376 1387.
6. Chiou, J.-M. and Müller, H.-G. (1999). Nonparametric quasi-likelihood. Annals of Statistics 27, 36 64.
7. Chiou, J.-M. and Müller, H.-G. (2007). Diagnostics for functional regression via residual processes. Computational Statistics & Data Analysis 51, 4849 4863. (Pubitemid 46635888)
8. Chiou, J. M., Müller, H. G., and Wang, J. L. (2003). Functional quasi-likelihood regression with smooth random effects. Journal of the Royal Statistical Society, Series B 65, 405 423.
9. Chiou, J. M., Müller, H. G., and Wang, J. L. (2004). Functional response models. Statistica Sinica 14, 675 693.
10. Chiou, J. M., Müller, H. G., Wang, J. L., and Carey, J. R. (2003). A functional multiplicative effects model for longitudinal data, with application to reproductive histories of female medflies. Statistica Sinica 13, 1119 1133.
11. Cuevas, A., Febrero, M., and Fraiman, R. (2004). An ANOVA test for functional data. Computational Statistics & Data Analysis 47, 111 122.
12. Ducharme, G. R. and Fontez, B. (2004). A smooth test of goodness-of-fit for growth curves and monotonic nonlinear regression models. Biometrics 60, 977 986. (Pubitemid 40019039)
13. Ferraty, F. and Vieu, P. (2006). Nonparametric Functional Data Analysis: Theory and Practice. New York : Springer.
14. Ferraty, F., Vieu, P., and Viguier-Pla, S. (2007). Factor-based comparison of groups of curves. Computational Statistics & Data Analysis 51, 4903 4910. (Pubitemid 46635901)
15. Govindjee (1995). Sixty-three years since Kautsky: Chlorophyll a fluorescence. Australian Journal of Plant Physiology 22, 131 160.
16. Lazár, D. (2003). Chlorophyll a fluorescence rise induced by high light illumination of dark-adapted plant tissue studied by means of a model of photosystem ii and considering photosystem ii heterogeneity. Journal of Theoretical Biology 220, 469 503. (Pubitemid 36297030)
17. Lazár, D., Sušila, P., and Nauš, J. (2005). Statistical properties of parameters evaluated from the o-j-i-p chlorophyll a fluorescence transients and their changes upon high temperature stress. In Photosynthesis: Fundamental Aspects to Global Perspectives (Proceedings of the 13th International Congress on Photosynthesis), A. van der Est and D. Bruce (eds 563 566. Lawrence, Kansas : Allen Press.
18. Li, R. and Chow, M. (2005). Evaluation of reproducibility for paired functional data. Journal of Multivariate Analysis 93, 81 101. (Pubitemid 39427268)
19. Li, X., Gentleman, R., Lu, X., Shi, Q., Iglehart, J. D., Harris, L., and Miron, A. (2005). Bioinformatics and Computational Biology Solutions Using R and Bioconductor, chapter 6, pp. 91 109. New York : Springer.
20. Liang, K.-Y. and Zeger, S. L. (1986). Longitudinal analysis using generalized linear models. Biometrika 73, 13 22.
21. Maldonado-Rodriguez, R., Pavlov, S., Gonzalez, A., Oukarroum, A., and Strasser, R. J. (2003). Can machines recognise stress in plants? Environmental Chemistry Letter 1, 201 205.
22. Manteiga, W. G. and Vieu, P. (2007). Statistics for functional data. Computational Statistics and Data Analysis 51, 4788 4792. (Pubitemid 46635903)
23. McCullagh, P. and Nelder, J. A. (1989). Generalized Linear Models, 2nd edition. Boca Raton, Florida : Chapman & Hall.
24. Morris, J. S. and Carroll, R. J. (2006). Wavelet-based functional mixed models. Journal of the Royal Statistical Society, Series B 68, 179 199.
25. Qin, L. and Guo, W. (2006). Functional mixed-effects model for periodic data. Biostatistics 7, 225 234.
26. Ramsay, J. O. and Silverman, B. W. (2002). Applied Functional Data Analysis. New York : Springer.
27. Ramsay, J. O. and Silverman, B. W. (2005). Functional Data Analysis, 2nd edition. New York : Springer.
28. Rice, J. A. and Silverman, B. W. (1991). Estimating the mean and covariance structure nonparametrically when the data are curves. Journal of the Royal Statistical Society, Series B 53, 233 243.
29. Stecher, G., Schwienbacher, F., Mayr, S., and Bauer, H. (1999). Effects of winter-stress on photosynthesis and antioxidants of exposed and shaded needles of picea abies (l.) karst. and pinus cembra l. Phyton - Annales Rei Botanicae 39, 205 212.
30. Stirbet, A., Govindjee, Strasser, B. J., and Strasser, R. J. (1998). Chlorophyll a fluorescence induction in higher plants: Modelling and numerical simulation. Journal of Theoretical Biology 193, 131 151. (Pubitemid 28379189)
31. Stirbet, A., Rosenau, P., Ströder, A. C., and Strasser, R. J. (2001). Parameter optimisation of fast chlorophyll fluorescence induction model. Mathematics and Computers in Simulation 56, 443 450.
32. Strasser, R. J. and Stirbet, A. D. (2001). Estimation of the energetic connectivity of PS II centres in plants using the fluorescence rise O-J-I-P. fitting of experimental data to three different ps ii models. Mathematics and Computers in Simulation 56, 451 461.
33. Tal, A., Kotoula-Syka, E., and Rubin, B. (2000). Seed-bioassay to detect grass weeds resistant to acetyl coenzyme a carboxylase inhibiting herbicides. Crop Protection 19, 467 472.
34. Tyystjärvi, E., Koski, A., Keränen, M., and Nevalainen, O. (1999). The Kautsky curve is a built-in barcode. Biophysical Journal 77, 1159 1167. (Pubitemid 29362487)
35. Wedderburn, R. W. M. (1974). Quasi-likelihood functions, generalized linear models, and the Gauss-Newton method. Biometrika 61, 439 447.
36. Weisberg, S. and Welsh, A. H. (1994). Adapting for the missing link. Annals of Statistics 22, 1674 1700.