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008 180731s2018||||xxk|||p|op||||00||0|eng|d
024 8 _ahttps://doi.org/10.1186/s13007-018-0314-7
040 _aMX-TxCIM
041 _aeng
100 1 _92702
_aMontesinos-Lopez, A.
245 1 _aBayesian functional regression as an alternative statistical analysis of high‑throughput phenotyping data of modern agriculture
_h[Electronic Resource]
260 _aLondon :
_bBioMed Central,
_c2018.
500 _aOpen Access
500 _aPeer review
520 _aBackground: Modern agriculture uses hyperspectral cameras with hundreds of reflectance data at discrete narrow bands measured in several environments. Recently, Montesinos-López et al. (Plant Methods 13(4):1–23, 2017a. https ://doi.org/10.1186/s1300 7-016-0154-2; Plant Methods 13(62):1–29, 2017b. https ://doi.org/10.1186/s1300 7-017-0212- 4) proposed using functional regression analysis (as functional data analyses) to help reduce the dimensionality of the bands and thus decrease the computational cost. The purpose of this paper is to discuss the advantages and disadvantages that functional regression analysis offers when analyzing hyperspectral image data. We provide a brief review of functional regression analysis and examples that illustrate the methodology. We highlight critical elements of model specification: (i) type and number of basis functions, (ii) the degree of the polynomial, and (iii) the methods used to estimate regression coefficients. We also show how functional data analyses can be integrated into Bayesian models. Finally, we include an in-depth discussion of the challenges and opportunities presented by functional regression analysis. Results: We used seven model-methods, one with the conventional model (M1), three methods using the B-splines model (M2, M4, and M6) and three methods using the Fourier basis model (M3, M5, and M7). The data set we used comprises 976 wheat lines under irrigated environments with 250 wavelengths. Under a Bayesian Ridge Regression (BRR), we compared the prediction accuracy of the model-methods proposed under different numbers of basis functions, and compared the implementation time (in seconds) of the seven proposed model-methods for different numbers of basis. Our results as well as previously analyzed data (Montesinos-López et al. 2017a, 2017b) support that around 23 basis functions are enough. Concerning the degree of the polynomial in the context of B-splines, degree 3 approximates most of the curves very well. Two satisfactory types of basis are the Fourier basis for period curves and the B-splines model for non-periodic curves. Under nine different basis, the seven method-models showed similar prediction accuracy. Regarding implementation time, results show that the lower the number of basis, the lower the implementation time required. Methods M2, M3, M6 and M7 were around 3.4 times faster than methods M1, M4 and M5. Conclusions: In this study, we promote the use of functional regression modeling for analyzing high-throughput phenotypic data and indicate the advantages and disadvantages of its implementation. In addition, many key elements that are needed to understand and implement this statistical technique appropriately are provided using a real data set. We provide details for implementing Bayesian functional regression using the developed genomic functional regression (GFR) package. In summary, we believe this paper is a good guide for breeders and scientists interested in using functional regression models for implementing prediction models when their data are curves. Keywords: Hyperspectral data, Functional regression analysis, Bayesian functional regression, Functional data, Bayesian Ridge Regression.
546 _aText in English
591 _aCIMMYT Informa : 2019 (September 13, 2018)
650 7 _2AGROVOC
_93634
_aPhenotypes
650 7 _2AGROVOC
_96437
_aEconomic activities
650 7 _2AGROVOC
_92624
_aStatistical methods
650 7 _2AGROVOC
_95834
_aRegression analysis
650 7 _2AGROVOC
_94013
_aBayesian theory
650 7 _94371
_aData analysis
_2AGROVOC
700 1 _aMontesinos-Lopez, O.A.
_92700
700 1 _aDe los Campos, G.
_92349
700 1 _aCrossa, J.
_gGenetic Resources Program
_8CCJL01
_959
700 1 _9907
_aBurgueño, J.
_gGenetic Resources Program
_8INT3239
700 1 _97662
_aLuna-Vazquez, F.J.
773 0 _dBioMed Central, 2018
_gv. 14, art. 46
_tPlant Methods
_w57210
_x1746-4811
787 _tCorrection to : bayesian functional regression as an alternative statistical analysis of high-throughput phenotyping data of modern agriculture
856 4 _uhttps://hdl.handle.net/10883/19576
_yOpen Access through DSpace
942 _cSUM
_2ddc
_n0