The W/S Test for Data Having Neutrosophic Numbers: An Application to USA Village Population

Table 3

Error rate for the proposed test.

	Asymmetric		Symmetric
	Weibull ([5, 7], [2.5, 3])	Chi-square ([4, 6])	Normal ([5, 7], [0.5, 1])	t ([8, 10])	Cauchy ([5, 7], [2.5, 3])
[5, 5]	[0.94, 0.84]	[0.88, 0.85]	[0.89, 0.94]	[0.9, 0.92]	[0.92, 0.91]
[10, 10]	[0.92, 0.88]	[0.91, 0.9]	[0.92, 0.89]	[0.91, 0.92]	[0.79, 0.83]
[15, 15]	[0.91, 0.87]	[0.93, 0.95]	[0.94, 0.94]	[0.9, 0.88]	[0.55, 0.58]
[20, 20]	[0.91, 0.83]	[0.9, 0.92]	[0.92, 0.87]	[0.87, 0.9]	[0.23, 0.32]
[25, 25]	[0.97, 0.87]	[0.87, 0.87]	[0.87, 0.88]	[0.86, 0.92]	[0.18, 0.19]
[30, 30]	[0.86, 0.88]	[0.85, 0.82]	[0.95, 0.92]	[0.81, 0.75]	[0.08, 0.13]
[35, 35]	[0.85, 0.83]	[0.82, 0.86]	[0.9, 0.92]	[0.77, 0.74]	[0.11, 0.03]
[40, 40]	[0.87, 0.88]	[0.82, 0.84]	[0.88, 0.79]	[0.79, 0.74]	[0.06, 0.06]
[45, 45]	[0.89, 0.91]	[0.88, 0.83]	[0.9, 0.91]	[0.74, 0.83]	[0.03, 0.02]
[50, 50]	[0.93, 0.92]	[0.8, 0.8]	[0.93, 0.88]	[0.71, 0.76]	[0, 0.01]
[55, 55]	[0.91, 0.91]	[0.78, 0.79]	[0.89, 0.91]	[0.72, 0.64]	[0.01, 0.01]
[60, 60]	[0.86, 0.9]	[0.8, 0.89]	[0.86, 0.92]	[0.73, 0.7]	[0.01, 0]
[65, 65]	[0.89, 0.87]	[0.77, 0.89]	[0.92, 0.91]	[0.7, 0.65]	[0.01, 0]
[70, 70]	[0.91, 0.91]	[0.82, 0.79]	[0.93, 0.92]	[0.73, 0.67]	[0, 0.01]
[75, 75]	[0.93, 0.89]	[0.83, 0.84]	[0.91, 0.91]	[0.63, 0.69]	[0, 0.01]
[80, 80]	[0.88, 0.9]	[0.74, 0.75]	[0.95, 0.85]	[0.71, 0.66]	[0, 0]
[85, 85]	[0.88, 0.81]	[0.78, 0.73]	[0.93, 0.89]	[0.72, 0.66]	[0, 0]
[90, 90]	[0.89, 0.93]	[0.76, 0.88]	[0.91, 0.95]	[0.61, 0.59]	[0, 0.01]
[95, 95]	[0.86, 0.92]	[0.8, 0.88]	[0.97, 0.9]	[0.68, 0.72]	[0, 0]
[100, 100]	[0.91, 0.86]	[0.71, 0.82]	[0.89, 0.85]	[0.57, 0.64]	[0, 0]