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Table 5 Results Tabular CUSUM, Standardized CUSUM and EWMA (when the dataset contains two trends both trends are evaluated separately)

From: Developing a system that can automatically detect health changes using transfer times of older adults

  Tabular CUSUM (TC) Standardized CUSUM (SC) EWMA (E)     
  TC RSb RAc RSRAd SC RSb RAc RSRAd E RSb RAc RSRAd
Average number of false positive alerts per week  
  mean sd mean sd mean sd mean sd mean sd mean sd mean sd mean sd mean sd mean sd mean sd mean sd
T r S a 0.01 0.04 0.06 0.08 0.10 0.04 0.04 0.04 0.19 0.16 0.10 0.03 0.09 0.02 0.19 0.14 0.00 0.00 0.14 0.08 0.00 0.00 0.03 0.06
T r U 0.06 0.08 0.09 0.06 0.11 0.08 0.15 0.12 0.13 0.11 0.15 0.11 0.07 0.05 0.18 0.17 0.00 0.00 0.20 0.15 0.00 0.00 0.05 0.06
T r SU 0.04 0.02 0.01 0.02 0.07 0.04 0.03 0.04 0.06 0.05 0.05 0.03 0.05 0.02 0.08 0.07 0.01 0.02 0.06 0.04 0.03 0.02 0.08 0.05
T r US 0.02 0.03 0.02 0.02 0.05 0.03 0.04 0.04 0.04 0.04 0.08 0.08 0.04 0.03 0.06 0.06 0.02 0.04 0.09 0.08 0.02 0.03 0.08 0.04
T r SUS 0.03 0.02 0.01 0.01 0.05 0.03 0.02 0.02 0.03 0.02 0.02 0.01 0.05 0.03 0.05 0.04 0.01 0.01 0.05 0.03 0.03 0.02 0.01 0.04
T r USU 0.01 0.02 0.03 0.03 0.03 0.03 0.04 0.02 0.02 0.03 0.03 0.03 0.03 0.02 0.03 0.03 0.01 0.02 0.08 0.07 0.02 0.02 0.08 0.04
Detection rate  
T r SU 10 % 95 % 100 % 100% 40 % 0 % 100 % 25 % 85 % 100 % 100 % 100 %
T r US 70 % 85 % 95 % 100% 65 % 25 % 45 % 60 % 85 % 100 % 65 % 100 %
T r SUS             
S →U 10 % 95 % 95 % 95% 30 % 0 % 95 % 35 % 75 % 100 % 95 % 100 %
U →S 0 % 0 % 95 % 75% 0 % 0 % 0 % 0 % 0 % 0 % 35 % 100 %
T r USU             
S →U 60 % 70 % 100 % 100% 55 % 25 % 35 % 60 % 85 % 95 % 55 % 95 %
U →S 0 % 0 % 100 % 100% 0 % 0 % 60 % 0 % 5 % 40 % 65 % 100 %
Average Run Length [days]  
  mean sd mean sd mean sd mean sd mean sd mean sd mean sd mean sd mean sd mean sd mean sd mean sd
T r SU 2.50 2.12 17.47 4.56 10.30 3.40 16.25 2.99 6.38 4.34 / / 13.75 4.00 7.20 4.60 2.94 2.36 10.20 3.53 15.85 3.05 10.10 3.39
T r US 5.29 5.38 16.41 3.39 14.89 3.96 14.00 4.53 14.08 5.89 7.80 7.29 16.89 4.78 12.00 5.41 11.18 4.39 14.05 6.55 23.38 2.79 14.85 6.10
T r SUS                         
S →U 4.00 1.41 18.95 2.68 13.00 5.42 16.21 5.14 4.33 3.14 / / 13.58 4.60 6.29 1.98 2.93 2.25 9.20 4.27 15.79 3.60 10.80 4.27
U →S / / / / 15.63 3.68 11.20 4.38 / / / / / / / / / / / / 24.14 2.14 13.15 5.90
T r USU                         
U →S 6.50 6.79 14.64 6.06 16.85 6.06 12.60 5.45 12.27 4.58 10.40 9.34 12.57 4.61 8.58 5.62 11.29 6.57 21.37 5.91 21.55 4.11 14.05 5.35
S →U / / / / 10.95 3.66 15.65 4.22 / / / / 15.08 3.48 / / 6.00 0.00 13.88 6.75 20.77 3.14 13.25 4.84
  1. Notes
  2. aTraining simulation scenarios as described in Table 3
  3. bControl chart with rational subgroups implemented
  4. cControl chart with a reinitialization after three consecutive alarm days
  5. dControl chart with rational subgroups and a reinitialization after three consecutive alarm days