Bayesian functional regression as an alternative statistical analysis of high-throughput phenotyping data of modern agriculture

Montesinos-López, Abelardo; Montesinos-López, Osval A.; de los Campos, Gustavo; Crossa, José; Burgueño, Juan; Luna-Vazquez, Francisco Javier

doi:10.1186/s13007-018-0314-7

Plant Methods

Table 2 Prediction accuracy of grain yield with Pearson’s correlation for the 7 proposed methods with BRR prior distribution for different numbers of basis functions

From: Bayesian functional regression as an alternative statistical analysis of high-throughput phenotyping data of modern agriculture

Method	Parameter	Number of basis																											Average
Method	Parameter	5			11			17			23			29			35			41			45			51			Average
					Pearson’s correlation
M1	Mean	0.494	a	A	0.494	a	A	0.494	a	A	0.494	a	A	0.494	a	A	0.494	a	A	0.494	a	A	0.494	a	A	0.494	a	A	0.494	a
	SE	0.023			0.023			0.023			0.023			0.023			0.023			0.023			0.023			0.023			0.023
M2	Mean	0.466	a	A	0.482	a	A	0.494	a	A	0.495	a	A	0.496	a	A	0.498	a	A	0.497	a	A	0.498	a	A	0.497	a	A	0.491	a
	SE	0.020			0.023			0.021			0.024			0.022			0.022			0.022			0.023			0.237			0.022
M3	Mean	0.482	a	A	0.496	a	A	0.495	a	A	0.494	a	A	0.498	a	A	0.498	a	A	0.498	a	A	0.499	a	A	0.498	a	A	0.495	a
	SE	0.020			0.023			0.023			0.024			0.025			0.025			0.025			0.024			0.025			0.024
M4	Mean	0.480	a	A	0.495	a	A	0.496	a	A	0.497	a	A	0.496	a	A	0.495	a	A	0.497	a	A	0.496	a	A	0.498	a	A	0.494	a
	SE	0.024			0.025			0.024			0.025			0.025			0.025			0.026			0.026			0.024			0.025
M5	Mean	0.483	a	A	0.494	a	A	0.495	a	A	0.494	a	A	0.495	a	A	0.500	a	A	0.497	a	A	0.499	a	A	0.498	a	A	0.495	a
	SE	0.021			0.023			0.025			0.024			0.026			0.023			0.025			0.024			0.024			0.024
M6	Mean	0.466	a	A	0.482	a	A	0.493	a	A	0.495	a	A	0.497	a	A	0.498	a	A	0.497	a	A	0.498	a	A	0.497	a	A	0.491	a
	SE	0.020			0.023			0.022			0.024			0.022			0.022			0.022			0.023			0.024			0.022
M7	Mean	0.482	a	A	0.496	a	A	0.495	a	A	0.493	a	A	0.498	a	A	0.498	a	A	0.498	a	A	0.499	a	A	0.498	a	A	0.495	a
	SE	0.020			0.023			0.023			0.024			0.025			0.025			0.025			0.024			0.025			0.024
		Implementation time
M1	Mean_T	30.89	a	A	30.89	a	A	30.89	a	A	30.89	a	A	30.89	a	A	30.89	a	A	30.89	a	A	30.89	a	A	30.89	a	A	30.89	a
	SE_T	3.27			3.27			3.27			3.27			3.27			3.27			3.27			3.27			3.27			3.27
M2	Mean_T	8.4	c	AB	8.9	c	AB	9.32	c	AB	9.51	c	AB	9.34	b	AB	10.1	b	A	10.33	b	A	9.65	b	AB	6.79	c	B	9.150	c
	SE_T	0.22			0.25			0.3			0.13			0.16			0.22			0.41			0.96			0.06			0.67
M3	Mean_T	7.89	c	AB	8.32	c	AB	8.61	c	AB	9.31	c	AB	9.79	b	AB	10.37	b	A	9.97	b	AB	8.91	b	AB	6.71	c	B	8.879	c
	SE_T	0.19			0.04			0.14			0.33			0.04			0.07			0.52			0.82			0.01			0.7
M4	Mean_T	27.17	b	A	27.01	b	A	26.83	b	A	26.78	b	A	27.15	a	A	27.16	a	A	27.12	a	A	27.32	a	A	16.68	b	B	25.910	b
	SE_T	0.22			0.11			0.28			0.36			0.63			0.52			0.44			0.5			0.16			1.95
M5	Mean_T	27.53	b	A	27.4	b	A	27.15	b	A	27.21	b	A	27.12	a	A	27.16	a	A	27.25	a	A	27.27	a	A	16.84	b	B	26.110	b
	SE_T	1.12			1.12			0.83			0.91			0.63			0.67			0.62			0.73			0.3			2.04
M6	Mean_T	8.03	c	AB	8.5	c	AB	8.68	c	AB	9.12	c	AB	10.19	b	AB	10.59	b	AB	10.91	b	A	10.97	b	A	7.17	c	B	9.350	c
	SE_T	0.04			0.08			0.09			0.07			0.19			0.23			0.05			0.46			0.59			0.79
M7	Mean_T	7.92	c	AB	8.34	c	AB	8.61	c	AB	9.2	c	AB	9.55	b	AB	9.76	b	AB	10.09	b	A	10.05	b	AB	7.15	c	B	8.970	c
	SE_T	0.08			0.1			0.1			0.07			0.24			0.22			0.31			0.47			0.49			0.61

Mean is the average Pearson’s correlation and SE is the standard error. Mean_T and SE_T are the average and standard error (in seconds) for implementing each scenario. Average is the average across the number of basis. Different lowercase letters by the columns indicate statistical differences between methods with the Tukey test at 5% level of significance. Different uppercase letters by row indicate statistical differences between numbers of basis with the Tukey test at 5% level of significance

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ISSN: 1746-4811

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