. 2023 Jun 8;9(6):e17121. doi: 10.1016/j.heliyon.2023.e17121

Table 3.

Linear trend – based variances of different sampling designs.

n	k	$V a r ({\overline{y}}_{r})$	$V a r ({\overline{y}}_{s y})$	$V a r ({\overline{y}}_{d s y})$	$V a r ({\overline{y}}_{s s y})$	$V a r ({\overline{y}}_{m d s y})$	$V a r ({\overline{y}}_{m s y})$
10	4	10.25	1.25	2.90	1.03	0.45	0.25
	6	25.42	2.92	1.27	2.39	0.47	0.23
	8	47.25	5.25	0.30	4.31	0.21	0.21
30	5	50.33	2.00	51.94	1.87	1.39	1.18
	10	225.75	8.25	33.22	7.72	3.67	3.01
	15	526.17	18.67	18.67	17.46	4.67	3.59
	20	951.58	33.25	8.28	31.11	3.69	2.51
	25	1502.00	52.00	2.06	48.65	1.44	0.75
50	10	375.75	8.25	133.20	7.93	5.28	4.78
	20	1584.92	33.25	74.90	31.95	11.97	10.48
	30	3627.42	74.92	33.27	71.98	11.99	9.83
	40	6503.25	133.25	8.30	128.03	5.33	3.62
100	20	3168.25	33.25	533.20	32.59	21.28	20.24
	40	13003.25	133.25	299.90	130.61	47.97	44.88
	60	29504.92	299.92	133.27	293.98	47.99	43.43
	80	52673.25	533.25	33.30	522.69	21.33	17.49
500	100	412508.25	833.25	13333.20	829.92	533.28	527.97
	200	1658349.92	3333.25	7499.90	3319.94	1199.97	1184.08
	300	3737524.92	7499.92	3333.27	7469.98	1199.99	1176.23
	400	6650033.25	13333.25	833.30	13280.02	533.33	512.42