Table 6. The ARL values of the RR ${}_{r,s}-{\gamma }^2$ control charts in the presence of measurement errors for ${\gamma }_0=0.05$ (left side), ${\gamma }_0=0.1$ (middle) and ${\gamma }_0=0.2$ (right side), and for different values of B, τ, n, $\eta =0.28$, $\theta =0.05$, m = 1.

Charts	τ	B = 0.8	B = 0.9	B = 1.0	B = 1.1	B = 1.2
n = 5
RR ${}_{2,3}-{\gamma }^2$	0.5	$(9.13,9.05,9.22)$	$(9.03,8.93,9.11)$	$(8.93,8.85,9.01)$	$(8.84,8.76,8.94)$	$(8.79,8.72,8.87)$
	0.7	$(30.00,29.74,30.26)$	$(29.73,29.33,29.95)$	$(29.42,29.13,29.64)$	$(29.10,28.82,29.42)$	$(28.99,28.71,29.24)$
	0.8	$(94.27,93.68,94.95)$	$(93.89,92.84,94.31)$	$(93.24,92.53,93.63)$	$(92.45,91.72,93.28)$	$(92.23,91.63,92.81)$
	1.3	$(29.28,29.57,30.79)$	$(28.89,29.17,30.37)$	$(28.58,28.86,30.04)$	$(28.33,28.60,29.77)$	$(28.11,28.39,29.55)$
	1.5	$(9.33,9.44,9.95)$	$(9.18,9.30,9.79)$	$(9.07,9.18,9.66)$	$(8.98,9.09,9.56)$	$(8.90,9.01,9.48)$
	2.0	$(3.79,3.83,4.03)$	$(3.74,3.78,3.98)$	$(3.70,3.75,3.93)$	$(3.67,3.71,3.90)$	$(3.64,3.69,3.87)$
RR ${}_{3,4}-{\gamma }^2$	0.5	$(6.12,6.13,6.24)$	$(6.06,6.06,6.18)$	$(6.01,6.02,6.12)$	$(5.98,5.98,6.09)$	$(5.94,5.95,6.05)$
	0.7	$(18.08,18.11,18.55)$	$(17.89,17.88,18.33)$	$(17.70,17.72,18.14)$	$(17.57,17.58,18.00)$	$(17.44,17.46,17.88)$
	0.8	$(65.22,65.28,66.56)$	$(64.70,64.64,66.01)$	$(64.20,64.24,65.45)$	$(63.85,63.84,65.08)$	$(63.43,63.53,64.76)$
	1.3	$(29.60,29.88,31.04)$	$(29.22,29.50,30.63)$	$(28.92,29.19,30.31)$	$(28.68,28.94,30.06)$	$(28.48,28.74,29.84)$
	1.5	$(10.27,10.38,10.87)$	$(10.13,10.24,10.71)$	$(10.02,10.13,10.59)$	$(9.93,10.03,10.49)$	$(9.85,9.96,10.41)$
	2.0	$(4.76,4.81,5.00)$	$(4.71,4.76,4.95)$	$(4.67,4.72,4.91)$	$(4.64,4.69,4.87)$	$(4.62,4.66,4.84)$
RR ${}_{4,5}-{\gamma }^2$	0.5	$(5.71,5.72,5.79)$	$(5.67,5.68,5.75)$	$(5.64,5.65,5.72)$	$(5.61,5.62,5.69)$	$(5.59,5.60,5.67)$
	0.7	$(14.04,14.08,14.43)$	$(13.88,13.93,14.26)$	$(13.76,13.80,14.13)$	$(13.66,13.70,14.02)$	$(13.57,13.61,13.93)$
	0.8	$(51.38,51.54,52.76)$	$(50.91,51.07,52.19)$	$(50.47,50.63,51.74)$	$(50.18,50.32,51.43)$	$(49.86,50.02,51.15)$
	1.3	$(30.85,31.13,32.28)$	$(30.48,30.75,31.88)$	$(30.19,30.44,31.56)$	$(29.94,30.20,31.30)$	$(29.74,30.00,31.09)$
	1.5	$(11.42,11.54,12.03)$	$(11.28,11.40,11.87)$	$(11.17,11.28,11.75)$	$(11.08,11.19,11.65)$	$(11.00,11.11,11.57)$
	2.0	$(5.77,5.81,6.01)$	$(5.72,5.76,5.96)$	$(5.68,5.72,5.91)$	$(5.65,5.69,5.88)$	$(5.62,5.66,5.85)$
n = 15
RR ${}_{2,3}-{\gamma }^2$	0.5	$(2.13,2.13,2.14)$	$(2.13,2.13,2.14)$	$(2.12,2.12,2.13)$	$(2.12,2.12,2.13)$	$(2.12,2.11,2.13)$
	0.7	$(4.20,4.17,4.29)$	$(4.15,4.12,4.23)$	$(4.12,4.08,4.19)$	$(4.08,4.05,4.16)$	$(4.06,4.02,4.13)$
	0.8	$(20.29,19.95,20.61)$	$(20.05,19.69,20.26)$	$(19.82,19.40,20.05)$	$(19.64,19.25,19.86)$	$(19.50,19.11,19.73)$
	1.3	$(9.95,10.11,10.77)$	$(9.80,9.95,10.60)$	$(9.68,9.83,10.47)$	$(9.58,9.73,10.36)$	$(9.50,9.65,10.28)$
	1.5	$(3.39,3.43,3.62)$	$(3.35,3.39,3.57)$	$(3.32,3.36,3.54)$	$(3.30,3.34,3.51)$	$(3.28,3.31,3.49)$
	2.0	$(2.14,2.15,2.19)$	$(2.13,2.14,2.18)$	$(2.13,2.14,2.18)$	$(2.12,2.13,2.17)$	$(2.12,2.13,2.17)$
RR ${}_{3,4}-{\gamma }^2$	0.5	$(3.03,3.03,3.03)$	$(3.03,3.03,3.03)$	$(3.02,3.02,3.03)$	$(3.02,3.02,3.03)$	$(3.02,3.02,3.03)$
	0.7	$(4.06,4.07,4.15)$	$(4.04,4.04,4.12)$	$(4.02,4.02,4.10)$	$(4.00,4.00,4.08)$	$(3.98,3.99,4.06)$
	0.8	$(14.22,14.25,14.82)$	$(14.05,14.07,14.62)$	$(13.91,13.92,14.46)$	$(13.78,13.81,14.34)$	$(13.68,13.71,14.23)$
	1.3	$(10.02,10.15,10.74)$	$(9.88,10.02,10.59)$	$(9.78,9.91,10.47)$	$(9.69,9.82,10.38)$	$(9.62,9.75,10.30)$
	1.5	$(4.16,4.20,4.36)$	$(4.13,4.16,4.32)$	$(4.10,4.14,4.29)$	$(4.08,4.12,4.27)$	$(4.06,4.10,4.25)$
	2.0	$(3.10,3.11,3.14)$	$(3.10,3.10,3.13)$	$(3.09,3.10,3.13)$	$(3.09,3.09,3.12)$	$(3.09,3.09,3.12)$
RR ${}_{4,5}-{\gamma }^2$	0.5	$(4.01,4.01,4.01)$	$(4.01,4.01,4.01)$	$(4.01,4.01,4.01)$	$(4.01,4.01,4.01)$	$(4.01,4.01,4.01)$
	0.7	$(4.61,4.62,4.68)$	$(4.59,4.60,4.66)$	$(4.58,4.59,4.64)$	$(4.57,4.58,4.63)$	$(4.56,4.57,4.62)$
	0.8	$(12.34,12.40,12.88)$	$(12.20,12.26,12.72)$	$(12.09,12.14,12.60)$	$(12.00,12.05,12.50)$	$(11.92,11.98,12.42)$
	1.3	$(10.60,10.72,11.28)$	$(10.47,10.60,11.14)$	$(10.37,10.49,11.02)$	$(10.29,10.41,10.93)$	$(10.22,10.34,10.86)$
	1.5	$(5.03,5.06,5.21)$	$(5.00,5.03,5.18)$	$(4.97,5.00,5.15)$	$(4.95,4.98,5.12)$	$(4.94,4.97,5.11)$
	2.0	$(4.08,4.08,4.11)$	$(4.08,4.08,4.11)$	$(4.07,4.08,4.10)$	$(4.07,4.07,4.10)$	$(4.07,4.07,4.09)$