Functional ANOVA starting from discrete data: An application to air quality data

Environmental and Ecological Statistics

Volumn 20, Issue 3, 2013, Pages 495-517

  Estévez Pérez, Graciela ^a   Vilar, José A ^a  

^a UNIVERSITY OF A CORUÑA   (Spain)

Author keywords

Bootstrap; Curve estimation; Functional analysis of variance; Hypothesis testing; Local linear methods

Indexed keywords

AIR QUALITY; BOOTSTRAPPING; ESTIMATION METHOD; HYPOTHESIS TESTING; MONTE CARLO ANALYSIS; POLLUTION MONITORING; VARIANCE ANALYSIS;

SPAIN;

EID: 84881611336     PISSN: 13528505     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10651-012-0231-2     Document Type: Article

References (37)

1. Abramovich F, Angelini C (2006) Testing in mixed-effects fanova models. J Stat Plan Inference 136: 4326-4348.
2. Abramovich F, Antoniadis A, Sapatinas T, Vidakovic B (2004) Optimal testing in functional analysis of variance models. Int J Wavelets Multiresolution Inf Process 2: 323-349.
3. Aneiros G, Cardot H, Estévez G, Vieu P (2004) Maximum ozone concentration forecasting by functional non-parametric approaches. Environmetrics 15: 675-685.
4. Angelini C, De Canditiis D, Leblanc F (2003) Wavelet regression estimation in nonparametric mixed effect models. J Multivar Anal 85: 267-291.
5. Besse P, Cardot H, Stephenson D (2000) Autoregressive forecasting of some functional climatic variations. Scand J Stat 27: 673-687.
6. Bugli C, Lambert P (2006) Functional anova with random functional effects: an application to event-related potentials modelling for electroencephalograms analysis. Stat Med 25: 3718-3739.
7. Cardot H, Faivre R, Goulard M (2003) Functional approaches for predicting land use with the temporal evolution of coarse resolution remote sensing data. J Appl Stat 30: 1185-1200.
8. 2 levels using neural networks. J Air Waste Manag Assoc 53: 532-539.
9. Fernández de Castro B, Guillas S, González Manteiga W (2005) Functional samples and bootstrap for predicting sulfur dioxide levels. Technometrics 47: 212-222.
10. Crambes C, Kneip A, Sarda P (2009) Smoothing splines estimators for functional linear regression. Ann Stat 37: 35-72.
11. Cuesta-Albertos J, Febrero-Bande M (2010) A simple multiway anova for functional data. Test 19: 537-557.
12. Cuevas A, Febrero M, Fraiman R (2004) An anova test for functional data. Comput Stat Data Anal 47: 111-122.
13. Damon J, Guillas S (2002) The inclusion of exogenous variables in functional autoregressive ozone forecasting. Environmetrics 13: 759-7747.
14. Davis J, Speckman P (1999) A model for predicting maximum and 8 hour average ozone in Houston. Atmos Environ 33: 2487-2500.
15. Fan J, Gijbels I (1996) Local polynomial modelling and its applications, monographs on statistics and applied probability, vol 66. Chapman and Hall, London.
16. Fan J, Lin SK (1998) Test of significance when data are curves. J Am Stat Assoc 93: 1007-1021.
17. Febrero M, Galeano P, González-Manteiga W (2007) A functional analysis of nox levels: location and scale estimation and outlier detection. Comput Stat 22: 411-427.
18. Febrero M, Galeano P, González-Manteiga W (2008) Outlier detection in functional data by depth measures, with application to identify abnormal nox levels. Environmetrics 19: 331-345.
19. Ferraty F, Vieu P (2009) Additive prediction and boosting for functional data. Comput Stat Data Anal 53: 1400-1413.
20. Freedman D (1981) Bootstrapping regression models. Ann Stat 9(6): 1218-1228.
21. 2 concentrations in urban air in London. Atmos Environ 33: 709-719.
22. Ghattas B (1999) Prévisions des pics d'ozone par arbres de régression simples et agrégés par bootstrap. Revue de Statistique Appliquée XLVII: 61-80.
23. Gu C (2002) Smoothing spline ANOVA models, springer series in statistics, vol xiii. Springer, New York.
24. Hall P, van Keilegom I (2007) Two-sample test in functional data analysis starting from discrete data. Stat Sin 17: 1511-1531.
25. Huang J (1998) Projection estimation in multiple regression with application to functional anova models. Ann Stat 26: 242-272.
26. Ignaccolo R, Ghigo S, Giovenali E (2008) Analysis of air quality monitoring networks by functional clustering. Environmetrics 19: 672-686.
27. Kim S, Park S, Temiyasathit C (2009) Spatial prediction of ozone concentration profiles. Comput Stat Data Anal 53: 3892-3906.
28. Lin Y (2000) Tensor product space anova models. Ann Stat 28: 734-755.
29. Muñoz Maldonado Y, Staniswalis JG, Irwin LN, Byers D (2002) A similarity analysis of curves. Can J Stat 30: 373-381.
30. Marx B, Eilers P (1999) Generalized linear regression on sampled signals and curves: a p-spline approach. Technometrics 41: 1-13.
31. Mélard G, Roy R (1988) Modéles de series chronologiques avec seuils. Revue de Statistique Appliquée XXXVI: 5-24.
32. R Development Core Team (2004) A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria, URL www. R-project. org.
33. Ramsay J, Silverman B (1997) Functional data analysis, springer series in statistics, vol xiv. Springer, New York.
34. Shen Q, Faraway J (2004) An f test for linear models with functional responses. Stat Sin 14: 1239-1257.
35. Yi J, Prybutok V (1996) A neural network model forecasting for prediction of daily maximum ozone concentration in an industrialized urban area. Environ Pollut 3: 349-357.
36. Zhang JT, Chen J (2007) Statistical inferences for functional data. Ann Stat 35(3): 1052-1079.
37. Zoglat A (2008) Functional analysis of variance. Appl Math Sci, Ruse 2: 1115-1129.