TABLE 4 Open in new tab 95% and 99% CIs...


Hewlett data
PF	(−0.0322, −0.0001)	0	95.52	0.0321	0.50	(−0.0368, 0.0063)	0	99.19	0.0431	0.57
Fieller	(−0.0322, 0)	0	95.61	0.0322	0.51	(−0.0368, 0.0065)	0	99.21	0.0434	0.58
Delta	(−0.0329, −0.0017)	0	93.93	0.0312	0.31	(−0.0378, 0.0032)	0	98.33	0.0409	0.25
PB	(−0.0333, −0.0013)	0	94.68	0.0319	0.32	(−0.0384, 0.0037)	0	98.68	0.0419	0.26
Puerperants data
PF	(0.0628, 0.2076)	0	96.97	0.1473	0.39	(0.0182, 0.2270)	0	99.81	0.2122	0.16
Fieller	(0.0577, 0.2101)	14.49	97.37	0.1554	0.44	(−0.0112, 0.2379)	14.50	99.94	0.2628	0
Delta	(0.0847, 0.2097)	0	90.80	0.1271	0.74	(0.0651, 0.2293)	0	95.38	0.1670	0.90
PB	(0.0810, 0.2134)	0	84.81	0.1587	0.98	(0.0602, 0.2342)	0	86.05	0.2085	0.99
Beetles data
PF	(1.1356, 1.2860)	0	95.12	0.1552	0.18	(1.0001, 1.2880)	0	99.00	0.2903	0.05
Fieller	(1.1610, 1.3197)	14.36	94.88	0.1696	0.49	(1.0953, 1.4144)	33.73	98.91	0.3610	0.52
Delta	(1.1761, 1.2949)	0	98.46	0.1236	0.35	(1.1575, 1.3135)	0	99.93	0.1624	0.14
PB	(1.1125, 1.3585)	0	99.65	0.2263	0.23	(1.0738, 1.3972)	0	100	0.2974	-

Method

Hewlett data

(−0.0322, −0.0001)

95.52

0.0321

0.50

(−0.0368, 0.0063)

99.19

0.0431

0.57

Fieller

(−0.0322, 0)

95.61

0.0322

0.51

(−0.0368, 0.0065)

99.21

0.0434

0.58

Delta

(−0.0329, −0.0017)

93.93

0.0312

0.31

(−0.0378, 0.0032)

98.33

0.0409

0.25

(−0.0333, −0.0013)

94.68

0.0319

0.32

(−0.0384, 0.0037)

98.68

0.0419

0.26

Puerperants data

(0.0628, 0.2076)

96.97

0.1473

0.39

(0.0182, 0.2270)

99.81

0.2122

0.16

Fieller

(0.0577, 0.2101)

14.49

97.37

0.1554

0.44

(−0.0112, 0.2379)

14.50

99.94

0.2628

Delta

(0.0847, 0.2097)

90.80

0.1271

0.74

(0.0651, 0.2293)

95.38

0.1670

0.90

(0.0810, 0.2134)

84.81

0.1587

0.98

(0.0602, 0.2342)

86.05

0.2085

0.99

Beetles data

(1.1356, 1.2860)

95.12

0.1552

0.18

(1.0001, 1.2880)

99.00

0.2903

0.05

Fieller

(1.1610, 1.3197)

14.36

94.88

0.1696

0.49

(1.0953, 1.4144)

33.73

98.91

0.3610

0.52

Delta

(1.1761, 1.2949)

98.46

0.1236

0.35

(1.1575, 1.3135)

99.93

0.1624

0.14

(1.1125, 1.3585)

99.65

0.2263

0.23

(1.0738, 1.3972)

100

0.2974


Hewlett data
PF	(−0.0322, −0.0001)	0	95.52	0.0321	0.50	(−0.0368, 0.0063)	0	99.19	0.0431	0.57
Fieller	(−0.0322, 0)	0	95.61	0.0322	0.51	(−0.0368, 0.0065)	0	99.21	0.0434	0.58
Delta	(−0.0329, −0.0017)	0	93.93	0.0312	0.31	(−0.0378, 0.0032)	0	98.33	0.0409	0.25
PB	(−0.0333, −0.0013)	0	94.68	0.0319	0.32	(−0.0384, 0.0037)	0	98.68	0.0419	0.26
Puerperants data
PF	(0.0628, 0.2076)	0	96.97	0.1473	0.39	(0.0182, 0.2270)	0	99.81	0.2122	0.16
Fieller	(0.0577, 0.2101)	14.49	97.37	0.1554	0.44	(−0.0112, 0.2379)	14.50	99.94	0.2628	0
Delta	(0.0847, 0.2097)	0	90.80	0.1271	0.74	(0.0651, 0.2293)	0	95.38	0.1670	0.90
PB	(0.0810, 0.2134)	0	84.81	0.1587	0.98	(0.0602, 0.2342)	0	86.05	0.2085	0.99
Beetles data
PF	(1.1356, 1.2860)	0	95.12	0.1552	0.18	(1.0001, 1.2880)	0	99.00	0.2903	0.05
Fieller	(1.1610, 1.3197)	14.36	94.88	0.1696	0.49	(1.0953, 1.4144)	33.73	98.91	0.3610	0.52
Delta	(1.1761, 1.2949)	0	98.46	0.1236	0.35	(1.1575, 1.3135)	0	99.93	0.1624	0.14
PB	(1.1125, 1.3585)	0	99.65	0.2263	0.23	(1.0738, 1.3972)	0	100	0.2974	-

TABLE 4

Open in new tab

95% and 99% CIs of the median response dose γ for the PF, Fieller, delta, and PB methods for the Hewlett data, the Puerperants data, and the Beetles data Note. We also simulate the estimated UP (%), CP (%), CW, and ML/(ML+MR) for all four methods in the scenarios where the parameters formula ⁠, formula ⁠, γ, and β are taken or estimated from each of the datasets. The simulation is based on 10 000 replicates


Method	CI	UP	CP	CW		CI	UP	CP	CW
Hewlett data
PF	(−0.0322, −0.0001)	0	95.52	0.0321	0.50	(−0.0368, 0.0063)	0	99.19	0.0431	0.57
Fieller	(−0.0322, 0)	0	95.61	0.0322	0.51	(−0.0368, 0.0065)	0	99.21	0.0434	0.58
Delta	(−0.0329, −0.0017)	0	93.93	0.0312	0.31	(−0.0378, 0.0032)	0	98.33	0.0409	0.25
PB	(−0.0333, −0.0013)	0	94.68	0.0319	0.32	(−0.0384, 0.0037)	0	98.68	0.0419	0.26
Puerperants data
PF	(0.0628, 0.2076)	0	96.97	0.1473	0.39	(0.0182, 0.2270)	0	99.81	0.2122	0.16
Fieller	(0.0577, 0.2101)	14.49	97.37	0.1554	0.44	(−0.0112, 0.2379)	14.50	99.94	0.2628	0
Delta	(0.0847, 0.2097)	0	90.80	0.1271	0.74	(0.0651, 0.2293)	0	95.38	0.1670	0.90
PB	(0.0810, 0.2134)	0	84.81	0.1587	0.98	(0.0602, 0.2342)	0	86.05	0.2085	0.99
Beetles data
PF	(1.1356, 1.2860)	0	95.12	0.1552	0.18	(1.0001, 1.2880)	0	99.00	0.2903	0.05
Fieller	(1.1610, 1.3197)	14.36	94.88	0.1696	0.49	(1.0953, 1.4144)	33.73	98.91	0.3610	0.52
Delta	(1.1761, 1.2949)	0	98.46	0.1236	0.35	(1.1575, 1.3135)	0	99.93	0.1624	0.14
PB	(1.1125, 1.3585)	0	99.65	0.2263	0.23	(1.0738, 1.3972)	0	100	0.2974	-


Method	CI	UP	CP	CW		CI	UP	CP	CW
Hewlett data
PF	(−0.0322, −0.0001)	0	95.52	0.0321	0.50	(−0.0368, 0.0063)	0	99.19	0.0431	0.57
Fieller	(−0.0322, 0)	0	95.61	0.0322	0.51	(−0.0368, 0.0065)	0	99.21	0.0434	0.58
Delta	(−0.0329, −0.0017)	0	93.93	0.0312	0.31	(−0.0378, 0.0032)	0	98.33	0.0409	0.25
PB	(−0.0333, −0.0013)	0	94.68	0.0319	0.32	(−0.0384, 0.0037)	0	98.68	0.0419	0.26
Puerperants data
PF	(0.0628, 0.2076)	0	96.97	0.1473	0.39	(0.0182, 0.2270)	0	99.81	0.2122	0.16
Fieller	(0.0577, 0.2101)	14.49	97.37	0.1554	0.44	(−0.0112, 0.2379)	14.50	99.94	0.2628	0
Delta	(0.0847, 0.2097)	0	90.80	0.1271	0.74	(0.0651, 0.2293)	0	95.38	0.1670	0.90
PB	(0.0810, 0.2134)	0	84.81	0.1587	0.98	(0.0602, 0.2342)	0	86.05	0.2085	0.99
Beetles data
PF	(1.1356, 1.2860)	0	95.12	0.1552	0.18	(1.0001, 1.2880)	0	99.00	0.2903	0.05
Fieller	(1.1610, 1.3197)	14.36	94.88	0.1696	0.49	(1.0953, 1.4144)	33.73	98.91	0.3610	0.52
Delta	(1.1761, 1.2949)	0	98.46	0.1236	0.35	(1.1575, 1.3135)	0	99.93	0.1624	0.14
PB	(1.1125, 1.3585)	0	99.65	0.2263	0.23	(1.0738, 1.3972)	0	100	0.2974	-

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