Table 3 Results of ANOVA and Tukey HSD tests for radioactive element concentrations across the aquatic ecosystems in Nasser Lake.

Source of variation	SS	Degrees of freedom	Mean Squares	F-static	P-value	F crit	Treatments pair	Tukey HSD
Source of variation	SS	Degrees of freedom	Mean Squares	F-static	P-value	F crit	Treatments pair	Statistic	p-value	Inferfence
²²⁶Ra
Between Groups	147.8	3	49.27	28.96	\(1.05\times {10}^{-9}\)	2.87	Sediment vs. Water	10.40	0.0010053	**p < 0.01
Within Groups	61.24	36	1.7				Sediment vs. Plant	10.79	0.0010053	**p < 0.01
Total	209.04	39					Sediment vs. Fish	11.06	0.0010053	**p < 0.01
							Water vs. Plant	0.39	0.8999947	Insignificant
							Water vs. Fish	0.66	0.8999947	Insignificant
							Plant vs. Fish	0.27	0.8999947	Insignificant
²³²Th
Between Groups	1140.21	3	380.07	52.79	\(2.92\times {10}^{13}\)	2.87	Sediment vs. Water	14.63	0.0010053	**p < 0.01
Within Groups	259.19	36	7.2				Sediment vs. Plant	13.94	0.0010053	**p < 0.01
Total	1399.41	39					Sediment vs. Fish	14.95	0.0010053	**p < 0.01
							Water vs. Plant	0.69	0.8999947	Insignificant
							Water vs. Fish	0.32	0.8999947	Insignificant
							Plant vs. Fish	1.02	0.8832123	Insignificant
⁴⁰ K
Between Groups	247,633.59	3	82,544.53	132.44	\(1.67{\times 10}^{-19}\)	2.87	Sediment vs. Water	24.37	0.0010053	**p < 0.01
Within Groups	22,436.9	36	623.25				Sediment vs. Plant	12.51	0.0010053	**p < 0.01
Total	270,070.49	39					Sediment vs. Fish	23.88	0.0010053	**p < 0.01
							Water vs. Plant	11.80	0.0010053	**p < 0.01
							Water vs. Fish	0.48	0.8999947	insignificant
							Plant vs. Fish	11.32	0.0010053	**p < 0.01

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