Examination of Plastic Pack Belts (Ropes) via X-Ray Fluorescence Spectrometry Combined with Multivariate Statistical Analysis

Table 1. Optimal results of measurement time
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Table 1. Optimal results of measurement time
Duration /s Mass fraction of element /10^-6
Ca Fe Sn Zn Hg Cl
50 62472 322 86 29 14 0
60 60653 395 59 58 13 0
70 77274 412 79 46 14 0
80 77638 422 76 46 14 0
90 63311 331 77 36 9 0
100 72440 384 60 44 11 0

Table 2. Calculation results of relative standard deviation

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Table 2. Calculation results of relative standard deviation

MeasurementNo.	Mass fraction /%
MeasurementNo.		Ca					Fe	Sn	Zn	Cl
1	6253		523	65	58	1532
2	6206		530	55	55	1297
3	6368		543	56	54	1455
4	6802		578	63	57	1506
Averagevalue	6407.25		543.5	59.75	56	1447.5
Standarddeviation	271.8227		24.4472	4.9917	1.8257	105.3075
Relativestandarddeviation /%	4.24		4.50	8.35	3.26	7.28

Table 3. Correlation analysis results of six plastic pack belt (rope) samples

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Table 3. Correlation analysis results of six plastic pack belt (rope) samples

Sample No.	Parameter	5^#	7^#	10^#	15^#	20^#	28^#
5^#	Pearson coefficient	1
5^#	Sig. (2-tailed)
7^#	Pearson coefficient	0.985^**	1
7^#	Sig. (2-tailed)	0
10^#	Pearson coefficient	0.892^**	0.878^**	1
10^#	Sig. (2-tailed)	0	0
15^#	Pearson coefficient	0.737^**	0.683^*	0.813^**	1
15^#	Sig. (2-tailed)	0.010	0.020	0.002
20^#	Pearson coefficient	0.884^**	0.862^**	0.992^**	0.881^**	1
20^#	Sig. (2-tailed)	0	0.001	0	0
28^#	Pearson coefficient	0.891^**	0.872^**	0.998^**	0.851^**	0.998^**	1
28^#	Sig. (2-tailed)	0	0	0	0.001	0
Note: ^*Correlation is significant at the 0.01 level (2-tailed), and ^Correlation is significant at the 0.05 level (2-tailed).

Table 4. Eigenvalue table of discriminant function

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Table 4. Eigenvalue table of discriminant function

FunctionNo.	Eigenvalue	Variance/%	Cumulation/%	Canonicalcorrelation
1	73.171^a	96.3	96.3	0.993
2	2.263^a	3.0	99.3	0.833
3	0.544^a	0.7	100.0	0.059
Note: a represents the first 3 canonical discriminant functions were used in the analysis.

Table 5. Structural matrix of discriminant function
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Table 5. Structural matrix of discriminant function
Element Function 1 Function 2 Function 3
Ca -0.797^* -0.099 -0.148
Fe -0.092^* 0.054 -0.089
Cl -0.034 0.359^* -0.121
Zn -0.092 -0.195^* -0.051
Ti -0.038 -0.24 0.422^*
Ba 0.002 -0.002 -0.106^*
Sn 0.039 -0.004 -0.052^*

Table 6. Hierarchical clustering results of 32 plastic pack belt (rope) samples
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Table 6. Hierarchical clustering results of 32 plastic pack belt (rope) samples
Classification Sample No.
Ⅰ 1^#,2^#,5^#,7^#,8^#,9^#,13^#,14^#,17^#,18^#,19^#,22^#,24^#,26^#,27^#,29^#,31^#,32^#
Ⅱ 4^#、6^#、12^#、15^#、21^#、30^#
Ⅲ 3^#、16^#
Ⅳ 10^#,11^#,20^#,23^#,25^#,28^#

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Xiao Ma, Hong Jiang, Jiaqi Yang. Examination of Plastic Pack Belts (Ropes) via X-Ray Fluorescence Spectrometry Combined with Multivariate Statistical Analysis[J]. Laser & Optoelectronics Progress, 2019, 56(22): 223005

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