Research Article
Shewhart-Type Charts for Masked Data: A Strategy for Handling the Privacy Issue
Table 3
SD of RL for various combinations of shift size and different values of p.
| | Model | Shift size | 0.00 | 0.15 | 0.25 | 0.50 | 0.75 | 1.00 | 1.50 | 2.00 |
| 0.0 | B-L | 372.09 | 339.742 | 321.813 | 258.143 | 197.926 | 142.765 | 78.6001 | 44.1666 | G-B | — | — | — | — | — | — | — | — | G-A | 369.87 | 400.5142 | 384.4229 | 328.001 | 266.0078 | 195.263 | 104.7121 | 62.03925 |
| 0.1 | B-L | 372.24 | 352.019 | 330.247 | 267.846 | 204.118 | 154.636 | 86.0165 | 49.4626 | G-B | 471.5541 | 476.5019 | 474.4081 | 474.7369 | 467.3532 | 462.7542 | 453.5529 | 427.5192 | G-A | 369.87 | 375.5852 | 380.7511 | 336.6681 | 263.7833 | 204.777 | 115.4578 | 66.53543 |
| 0.2 | B-L | 375.32 | 348.609 | 328.335 | 269.888 | 214.983 | 162.289 | 93.4594 | 53.0225 | G-B | 381.0626 | 385.9171 | 386.5853 | 373.0959 | 382.6268 | 366.7557 | 344.6503 | 303.1005 | G-A | 369.87 | 373.2505 | 368.2201 | 328.723 | 269.6875 | 211.3197 | 117.1727 | 68.66155 |
| 0.3 | B-L | 360.3 | 352.365 | 342.078 | 279.144 | 224.088 | 169.749 | 100.512 | 59.309 | G-B | 369.87 | 379.263 | 379.5516 | 378.5992 | 367.9928 | 366.0251 | 325.6226 | 281.3075 | G-A | 369.87 | 379.478 | 382.7745 | 347.4199 | 276.4673 | 213.9339 | 126.8937 | 74.74401 |
| 0.4 | B-L | 370.36 | 367.313 | 351.847 | 292.906 | 235.889 | 183.75 | 106.493 | 67.5446 | G-B | 375.2276 | 378.9434 | 378.3174 | 373.0098 | 363.7104 | 337.0259 | 276.1298 | 213.2526 | G-A | 369.87 | 373.6151 | 399.827 | 341.0555 | 281.6622 | 221.3972 | 126.9227 | 76.64965 |
| 0.5 | B-L | 372.62 | 361.48 | 349.226 | 307.06 | 250.373 | 195.474 | 119.042 | 71.4328 | G-B | 369.87 | 375.336 | 375.5363 | 363.3669 | 338.9533 | 318.8717 | 241.2932 | 166.4109 | G-A | 369.87 | 380.0005 | 378.9083 | 335.1135 | 274.0873 | 221.1388 | 125.5574 | 75.77655 |
| 0.6 | B-L | 379.83 | 368.302 | 372.248 | 321.424 | 264.616 | 206.768 | 128.65 | 81.3299 | G-B | 369.87 | 375.5585 | 378.5004 | 350.1959 | 327.5603 | 284.2656 | 186.9165 | 114.9939 | G-A | 369.87 | 391.0121 | 382.7347 | 353.1478 | 290.3852 | 225.5492 | 131.7687 | 83.05028 |
| 0.7 | B-L | 372.39 | 374.482 | 390.751 | 343.233 | 275.894 | 224.354 | 141.136 | 91.4099 | G-B | 369.87 | 377.5398 | 375.3722 | 349.39 | 293.6737 | 241.1474 | 139.4597 | 75.68841 | G-A | 369.87 | 405.9803 | 432.2446 | 388.1164 | 310.4707 | 237.755 | 143.3654 | 85.91976 |
| 0.8 | B-L | 366.338 | 381.036 | 390.31 | 354.569 | 284.41 | 236.836 | 153.799 | 100.455 | G-B | 369.87 | 374.9014 | 371.9819 | 322.1747 | 245.773 | 190.5824 | 93.30615 | 43.76641 | G-A | 369.87 | 395.0287 | 394.5415 | 361.0619 | 286.6851 | 228.0623 | 126.2924 | 77.97229 |
| 0.9 | B-L | 368.42 | 404.066 | 397.187 | 382.3 | 319.119 | 253.742 | 172.752 | 113.99 | G-B | 369.87 | 370.268 | 357.3045 | 276.6619 | 190.1431 | 122.5217 | 47.72949 | 19.11604 | G-A | 369.87 | 390.3073 | 410.1353 | 367.7251 | 280.2753 | 213.2582 | 120.1642 | 66.91047 |
| 1.0 | B-L | 377.155 | 337.864 | 279.979 | 155.518 | 81.9042 | 43.8392 | 14.4668 | 5.97265 | G-B | 369.87 | 331.2344 | 279.4253 | 160.1547 | 84.03973 | 42.47246 | 14.45013 | 5.613285 | G-A | 369.87 | 338.2211 | 280.1716 | 155.7074 | 82.09768 | 43.85211 | 14.40269 | 5.878676 | | | 0.1787 | 0.1577 | 0.16111 | 0.1355 | 0.1145 | 0.11332 | 0.0896 | 0.0705 |
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