Shewhart-Type Charts for Masked Data: A Strategy for Handling the Privacy Issue

Table 2

Average 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	369.8204	342.9505	324.4787	259.5459	195.4470	145.3163	78.6172	45.2577
	G-B	—	—	—	—	—	—	—	—
	G-A	370.3704	398.3633	384.5378	331.1972	266.5245	195.3907	107.5266	62.0638
0.1	B-L	371.3979	355.6773	333.2773	266.6183	202.8503	155.3758	85.9531	49.3702
	G-B	472.0544	474.5287	473.7694	480.4851	466.7503	460.6778	449.5394	427.9392
	G-A	370.3704	381.4222	373.5968	336.4414	267.7455	206.1207	115.1106	66.0131
0.2	B-L	372.5152	351.1763	333.5366	271.5980	214.9162	160.5205	93.1897	53.7456
	G-B	381.5629	383.9393	385.1155	374.4072	378.5758	369.0053	343.8546	308.247
	G-A	370.3704	375.4224	367.3186	330.1746	266.6793	209.5381	118.0059	68.6485
0.3	B-L	364.0458	352.9341	341.6827	281.7470	224.3029	169.3414	99.5665	60.0281
	G-B	370.3704	379.559	380.1446	386.9595	375.3932	364.0923	325.8341	282.0948
	G-A	370.3704	381.3167	384.3485	345.1743	278.4362	218.7521	127.8631	75.4758
0.4	B-L	373.6495	367.1011	350.4887	293.7171	237.4126	182.4637	108.1702	67.346
	G-B	375.728	378.5445	380.9122	377.0983	363.6984	343.3104	279.7309	212.5052
	G-A	370.3704	377.6939	395.0945	345.6277	280.2993	219.3589	130.8991	77.8386
0.5	B-L	370.9040	368.6180	355.5431	303.6942	254.1390	194.8039	117.1545	72.4191
	G-B	370.3704	375.6076	374.3965	365.7554	341.7894	313.6439	241.4898	166.6205
	G-A	370.3704	376.2452	378.6781	339.4872	276.5845	222.3425	127.7152	77.0538
0.6	B-L	374.0855	373.9863	369.7926	322.6122	265.3373	207.8775	130.0364	81.5487
	G-B	370.3704	377.1366	378.9182	352.4766	330.2904	278.5619	190.6607	116.2161
	G-A	370.3704	389.2429	386.5691	356.2365	293.7464	227.7943	133.8046	83.5469
0.7	B-L	373.4111	382.4115	383.5503	344.4638	278.3104	225.1947	142.9661	91.5245
	G-B	370.3704	378.3108	377.6799	348.8476	294.1774	238.7937	141.83	75.3392
	G-A	370.3704	409.5485	424.1548	384.5898	311.6276	242.0597	144.1005	87.3728
0.8	B-L	366.3479	389.5094	393.5571	353.5943	290.8406	239.8486	152.9354	101.600
	G-B	370.3704	376.1289	371.2596	324.6152	251.4826	189.6448	93.815	43.6524
	G-A	370.3704	393.1284	393.3321	359.1248	287.1012	224.8914	129.255	78.2236
0.9	B-L	368.9685	400.9974	402.9537	379.6252	323.4405	258.6102	176.4008	117.1159
	G-B	370.3704	372.3311	357.3275	278.8682	190.6521	121.6336	48.3185	19.7602
	G-A	370.3704	397.9777	410.6351	361.2404	282.0307	213.6496	119.701	67.7531
1.0	B-L	369.4962	335.7837	279.9027	157.4311	82.37410	43.62400	15.03670	6.5036
	G-B	370.3704	332.3622	280.1549	157.6297	83.2157	43.0602	14.8616	6.1791
	G-A	370.3704	335.6657	283.3501	156.9615	81.8226	44.4861	14.9248	6.4680
		1.0311	1.0249	1.0254	1.0181	1.0133	1.0126	1.0081	1.0046