Table 2 Comparison of percent relative efficiency (PRE) between proposed estimator \(\hat{T}\) and \(\hat{T}_{H}\) (H Tarray),estimator.

From: A two-stage randomized response technique for simultaneous estimation of sensitivity and truthfulness

\(p_{o}\)	T	\(p=.6\)		\(\pi\)
\(p_{o}\)	T	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8
0.2	0.2	300.99	263.05	235.76	215.19	199.14	186.25	175.68	166.86
	0.4	328.45	303.16	280.87	261.05	243.33	227.38	212.96	199.85
	0.6	339.88	322.41	304.94	287.47	270.00	252.53	235.06	217.59
	0.8	346.50	334.52	321.23	306.41	289.77	270.97	249.54	224.89
0.5	0.2	699.51	485.53	379.06	315.35	272.95	242.70	220.02	202.40
	0.4	931.52	705.93	564.84	468.27	398.01	344.60	302.63	268.78
	0.6	1061.16	857.75	706.75	590.22	497.56	422.12	359.51	306.72
	0.8	1148.56	976.76	828.50	699.26	585.59	484.84	394.93	314.20
0.8	0.2	1094.66	628.90	452.24	359.26	301.89	262.96	234.81	213.50
	0.4	1864.98	1099.19	772.17	590.79	475.48	395.70	337.23	292.52
	0.6	2516.64	1550.18	1085.54	812.43	632.66	505.36	410.49	337.05
	0.8	3110.14	2017.70	1420.70	1044.41	785.52	596.51	452.45	339.01
		\(p=.7\)
0.2	0.2	155.83	138.29	128.28	121.81	117.29	113.95	111.38	109.34
	0.4	172.67	157.26	145.83	137.01	130.00	124.29	119.56	115.57
	0.6	181.19	169.33	158.74	149.23	140.64	132.84	125.74	119.23
	0.8	186.60	178.28	169.59	160.51	151.00	141.05	130.60	119.63
0.5	0.2	242.80	182.50	155.70	140.56	130.83	124.04	119.05	115.21
	0.4	323.46	246.47	203.85	176.78	158.06	144.35	133.87	125.61
	0.6	378.01	301.14	249.45	212.31	184.33	162.50	144.99	130.64
	0.8	419.54	352.07	297.16	251.59	213.17	180.34	151.96	127.18
0.8	0.2	323.07	212.14	171.37	150.19	137.22	128.45	122.14	117.37
	0.4	529.02	327.56	245.44	200.86	172.86	153.64	139.64	128.97
	0.6	731.51	455.70	329.22	256.63	209.54	176.52	152.08	133.26
	0.8	943.13	611.30	435.30	326.23	252.01	198.24	157.50	125.55
		\(p=.8\)
0.2	0.2	120.14	111.48	107.48	105.18	103.68	102.62	101.85	101.24
	0.4	131.48	120.87	114.53	110.31	107.31	105.06	103.31	101.91
	0.6	139.08	129.17	121.73	115.94	111.30	107.50	104.33	101.65
	0.8	144.75	137.08	129.84	123.01	116.54	110.42	104.61	99.09
0.5	0.2	149.04	125.09	115.50	110.34	107.11	104.90	103.30	102.08
	0.4	188.68	150.63	132.33	121.57	114.49	109.48	105.74	102.85
	0.6	222.95	178.41	152.30	135.13	123.00	113.96	106.96	101.39
	0.8	254.29	211.01	178.98	154.33	134.77	118.87	105.68	94.58
0.8	0.2	175.40	135.19	120.88	113.54	109.07	106.07	103.91	102.29
	0.4	259.07	177.31	145.77	129.05	118.69	111.64	106.54	102.67
	0.6	357.59	232.48	178.80	148.95	129.95	116.80	107.15	99.77
	0.8	481.95	314.31	230.15	179.56	145.78	121.63	103.51	89.41

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Table 2 Comparison of percent relative efficiency (PRE) between proposed estimator \(\hat{T}\) and \(\hat{T}_{H}\) (H Tarray),estimator.

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