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. 2018 Oct 25;13(10):e0206285. doi: 10.1371/journal.pone.0206285

Table 2. Quadratic orthogonal rotation combination design and results.

Treatments Code gradients (Factor values kg ha-1) Yield(kg ha-1) Pods per plant(Pod) Seeds per pod (Grain) 100-seed weight (g)
X1 (N) X2 (P2O5) X3 (K2O) 2013 2014 2015 Average 2013 2014 2015 Average 2013 2014 2015 Average 2013 2014 2015 Average
1 1 (41.9) 1 (20.7) 1 (66.5) 2,385.0 2,310.0 2,583.3 2,426.11 aA 28.89 27.30 30.73 28.97 aA 12.52 12.40 12.00 12.31 cdeC 6.93 6.87 6.85 6.88 bB
2 1 (41.9) 1 (20.7) -1 (16.9) 1,991.7 2,353.3 2,208.3 2,184.44 abcdABCDEF 26.33 25.33 26.52 26.06 abcABCD 13.71 13.11 13.50 13.44 abcdeABC 6.73 6.67 6.75 6.72 cdCD
3 1 (41.9) -1 (5.3) 1 (66.5) 2,176.7 2,076.7 2,130.0 2,127.78abcdeABCDEFG 22.78 22.78 23.72 23.09 cdefCDEF 13.11 13.22 13.80 13.38 abcdeABC 7.16 7.16 7.26 7.19 aA
4 1 (41.9) -1 (5.3) -1 (16.9) 1,876.7 1,970.0 1,811.7 1,886.11 cdefCDEFG 20.22 21.67 19.80 20.56 efgEFG 12.70 12.67 13.30 12.89 bcdeABC 7.29 7.15 7.06 7.17 aA
5 -1 (10.7) 1 (20.7) 1 (66.5) 2,336.7 2,216.7 1,893.3 2,148.89abcdeABCDEFG 19.67 20.67 21.50 20.61 efgEFG 12.23 12.22 12.30 12.25 eC 6.21 6.13 6.25 6.20 jkIJ
6 —1 (10.7) 1 (20.7) -1 (16.9) 2,006.7 1,736.7 1,593.3 1,778.89 efFG 14.22 16.22 17.23 15.89 hI 13.82 13.78 14.40 14.00 abAB 6.13 6.23 6.38 6.25 hijkHIJ
7 -1 (10.7) -1 (5.3) 1 (66.5) 2,010.0 2,046.7 2,133.3 2,063.3abcdefABCDEFG 19.67 19.67 21.78 20.37 fgFGH 12.50 12.60 12.70 12.60 cdeBC 6.28 6.35 6.21 6.28 ghijkGHIJ
8 -1 (10.7) -1 (5.3) -1 (16.9) 1,533.3 1,826.7 1,785.0 1,715.00 fG 16.00 16.97 16.39 16.45 hHI 13.91 14.34 14.80 14.35 aA 6.17 6.36 6.14 6.22 ijkHIJ
9 -1.68 (0) 0 (13) 0 (41.7) 1,936.7 1,686.7 1,800.0 1,807.78defEFG 20.56 18.56 21.30 20.14 fgFGH 14.76 14.22 13.96 14.31 aA 6.07 6.08 6.14 6.10 kJ
10 1.68 (52.5) 0 (13) 0 (41.7) 1,980.0 2,320.0 2,243.3 2,181.11 abcdeABCDEF 25.11 25.11 28.59 26.27 abcABCD 12.50 13.22 12.80 12.84 bcdeBC 7.38 7.26 7.18 7.27 aA
11 0 (26.3) -1.68 (0) 0 (41.7) 1,913.3 1,863.3 1,951.7 1,909.44 bcdefBCDEFG 23.56 23.56 21.53 22.88 cdefCDEF 13.39 13.33 12.20 12.97 bcdeABC 6.78 6.88 6.66 6.77 bcBC
12 0 (26.3) 1.68 (26) 0 (41.7) 2,298.3 2,226.7 2,223.3 2,249.44 abcABCDE 23.22 25.22 24.70 24.38 bcdBCDE 12.65 12.44 12.30 12.46 cdeC 6.37 6.26 6.45 6.36 fghijFGHIJ
13 0 (26.3) 0 (13) -1.68 (0) 1,703.3 1,955.0 1,853.3 1,837.22 defDEFG 18.78 19.33 16.36 18.16 ghGHI 13.82 13.44 12.98 13.41 abcdeABC 6.75 6.73 6.75 6.74 bcBCD
14 0 (26.3) 0 (13) 1.68 (83) 2,105.0 2,171.7 2,250.0 2,175.56abcdeABCDEFG 23.00 21.76 22.80 22.52 defDEF 12.15 12.11 12.60 12.29 deC 6.56 6.61 6.46 6.54 cdefCDEFG
15 0 (26.3) 0 (13) 0 (41.7) 2,300.0 2,251.7 2,305.0 2,285.56 abcABCD 26.44 27.32 26.23 26.66 abABC 12.92 13.89 13.20 13.34 abcdeABC 6.53 6.62 6.65 6.60 cdeCDEF
16 0 (26.3) 0 (13) 0 (41.7) 2,345.0 2,346.7 2,156.7 2,282.78 abcABC 25.22 27.22 25.80 26.08 abcABCD 13.82 13.89 13.00 13.57 abcABC 6.43 6.49 6.51 6.48 efghDEFGH
17 0 (26.3) 0 (13) 0 (41.7) 2,361.7 2,320.0 2,250.0 2,310.56 abABC 23.78 24.22 23.82 23.94bcdeBCDEF 13.12 13.89 13.70 13.57 abcABC 6.43 6.45 6.50 6.46 efghEFGHI
18 0 (26.3) 0 (13) 0 (41.7) 2,365.0 2,458.3 2,296.7 2,373.33 aAB 24.11 23.11 26.72 24.65 bcdBCD 13.65 13.56 11.80 13.00 bcdeABC 6.51 6.56 6.55 6.54 cdefCDEFG
19 0 (26.3) 0 (13) 0 (41.7) 2,378.3 2,375.0 2,245.0 2,332.78 aABC 26.89 25.89 24.54 25.77 abcdABCD 13.21 12.91 13.30 13.14 abcdeABC 6.46 6.44 6.55 6.48 defgDEFGH
20 0 (26.3) 0 (13) 0 (41.7) 2,255.0 2,448.3 2,176.7 2,293.33 abABCD 25.56 25.56 26.83 25.98 abcdABCD 13.72 13.67 13.20 13.53 abbcdABC 6.51 6.49 6.62 6.54 cdefCDEFG
21 0 (26.3) 0 (13) 0 (41.7) 2,226.7 2,243.3 2,485.0 2,318.33 aABC 26.11 27.56 28.23 27.30 abAB 13.81 13.56 13.30 13.56 abcdABC 6.42 6.54 6.40 6.45 efghiEFGHI
22 0 (26.3) 0 (13) 0 (41.7) 2,228.3 2,253.3 2,388.3 2,290.00 abcABCD 25.33 26.22 25.12 25.56 abcdABCD 13.81 13.67 13.20 13.56 abcdABC 6.54 6.55 6.56 6.55 cdefCDEF
23 0 (26.3) 0 (13) 0 (41.7) 2,365.0 2,083.3 2,395.0 2,281.11 abcABCD 26.22 26.22 26.19 26.21 abcABCD 12.92 12.89 12.50 12.77 bcdeBC 6.39 6.49 6.50 6.46 efghEFGH

Note: N: urea (N = 46%), P: calcium superphosphate (P2O5 = 12%), K: potassium sulfate (K2O = 50%). Variance analysis results showed annual P values of 0.8524, 0.1523, 0.2475, and 0.7331. Differences were not significant. For the treatments with P = 0.0001, the differences were significant.

Differences in the mean values of each treatment with a, b, c… were significant (P<0.05).

Differences in the mean values of each treatment with A, B, C… were extremely significant (P <0.01).