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. 2021 May 18;49(11):2870–2890. doi: 10.1080/02664763.2021.1928013

Table 7.

ARL values of total stages for the competing monitoring schemes under the shifts in intercept ( λ1) of Stage 1 considering gamma and normally distributed data.

  λ1
ARLTotal 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2
ϕ=0.0 gamma-distributed data
GLR 200.35 154.34 113.8 81.51 55.07 37.99 25.75 17.33 12.03 8.22 5.77
T2 200.4 187.34 142.65 127.54 96.34 65.98 42.76 30.92 21.87 12.73 8.54
MEWMA 200.12 172.87 134.76 118.5 81.45 50.65 34.15 23.63 19.35 10.38 6.48
ϕ=0.1 gamma-distributed data
GLR 200.53 154.39 112.71 80.12 56.47 38.04 26.12 17.36 12.01 8.23 5.71
T2 200.35 186.04 141.61 126.75 95.24 64.91 42.65 31.56 22.65 12.82 8.27
MEWMA 200.31 172.45 133.89 119.34 80.35 51.85 34.87 22.93 18.54 10.22 5.56
ϕ=0.9 gamma-distributed data
GLR 200.26 160.58 117.71 83.89 57.29 39.27 25.55 17.42 11.99 7.98 5.61
T2 200.12 187.12 142.64 125.56 95.81 65.82 42.17 30.91 22.01 11.59 7.77
MEWMA 200.43 171.65 133.49 118.36 80.39 50.61 34.62 22.73 19.62 10.03 5.99
  λ1
ARLTotal 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2
ϕ=0.0 normally distributed data
GLR 200.35 56.34 15.65 7.45 4.23 3.76 2.45 2.12 1.76 1.56 1.23
T2 202.57 162.01 89.82 41.56 19.57 9.62 5.28 3.21 2.18 1.64 1.33
MEWMA 201.12 67.37 18.45 8.74 5.62 4.17 3.32 2.8 2.44 2.19 2.02
ϕ=0.1 normally distributed data
GLR 200.53 55.65 14.87 7.47 4.76 3.23 2.18 2.01 1.37 1.29 1.01
T2 200.71 160.94 87.76 41.54 19.35 9.53 5.29 3.18 2.20 1.61 1.33
MEWMA 202.17 67.22 18.53 8.78 5.59 4.16 3.34 2.80 2.44 2.18 2.02
ϕ=0.9 normally distributed data
GLR 200.26 55.35 13.58 7.83 4.13 3.36 2.12 2.02 1.21 1.09 1.06
T2 199.61 161.26 88.05 41.24 19.14 9.73 5.19 3.22 2.19 1.63 1.33
MEWMA 200.29 67.40 18.64 8.75 5.64 4.15 3.31 2.81 2.45 2.19 2.01