Table 6.

A comparison of the estimated parameters across Elicitation Methods

Row	Parameter	PF	x	y	α	β	ρ
1	r	RREU	AL	LC	− 0.013	0.224***	0.417
2	r	RREU	AL	PC	0.484***	0.022***	0.073
3	r	RREU	AL	HL	0.003	0.132***	0.417
4	r	RREU	LC	PC	0.471***	0.098***	0.197
5	r	RREU	LC	HL	0.113***	0.253***	0.507
6	r	RREU	PC	HL	0.163**	0.038***	0.037
7	s	RREU	AL	LC	0.566***	0.240	0.056
8	s	RREU	AL	PC	1.589***	− 2.760*	− 0.157
9	s	RREU	AL	HL	0.554***	2.583	0.281
10	s	RREU	LC	PC	1.674***	− 0.549***	− 0.126
11	s	RREU	LC	HL	0.473***	0.517**	0.252
12	s	RREU	PC	HL	0.900***	− 0.074***	− 0.147
13	r	RRRD	AL	LC	− 0.230**	0.340***	0.426
14	r	RRRD	AL	PC	0.334***	0.046***	0.101
15	r	RRRD	AL	HL	− 0.194***	0.161***	0.377
16	r	RRRD	LC	PC	0.366***	0.060***	0.122
17	r	RRRD	LC	HL	− 0.045	0.193***	0.412
18	r	RRRD	PC	HL	− 0.071	0.129***	0.134
19	s	RRRD	AL	LC	0.620***	0.089*	0.022
20	s	RRRD	AL	PC	2.067***	− 3.640*	− 0.157
21	s	RRRD	AL	HL	0.445***	3.518**	0.322
22	s	RRRD	LC	PC	1.036**	1.080	0.196
23	s	RRRD	LC	HL	0.424**	0.557	0.212
24	s	RRRD	PC	HL	0.822***	− 0.014***	− 0.030
25	g	RRRD	AL	LC	0.916***	0.045***	0.048
26	g	RRRD	AL	PC	0.706***	0.365***	0.220
27	g	RRRD	AL	HL	0.602***	0.200***	0.138
28	g	RRRD	LC	PC	1.075***	0.030***	0.017
29	g	RRRD	LC	HL	0.764***	0.062***	0.040
30	g	RRRD	PC	HL	0.767***	0.052***	0.059
31	r	AREU	AL	LC	− 0.040	3.693***	0.391
32	r	AREU	AL	PC	0.171***	0.276	0.039
33	r	AREU	AL	HL	− 0.007	2.232**	0.468
34	r	AREU	LC	PC	0.159***	0.174***	0.252
35	r	AREU	LC	HL	0.042***	0.279***	0.592
36	r	AREU	PC	HL	0.064***	0.020***	0.029
37	s	AREU	AL	LC	0.493***	0.982	0.228
38	s	AREU	AL	PC	0.124***	0.032***	0.016
39	s	AREU	AL	HL	0.097***	− 0.124***	− 0.124
40	s	AREU	LC	PC	0.161***	− 0.061***	− 0.130
41	s	AREU	LC	HL	0.027*	0.107***	0.460
42	s	AREU	PC	HL	0.104***	− 0.122***	− 0.249
43	r	ARRD	AL	LC	− 0.098***	4.694***	0.415
44	r	ARRD	AL	PC	0.121***	0.656	0.060
45	r	ARRD	AL	HL	− 0.038*	2.369**	0.377
46	r	ARRD	LC	PC	0.129***	0.108***	0.128
47	r	ARRD	LC	HL	0.017*	0.200***	0.420
48	r	ARRD	PC	HL	0.026*	− 0.001***	− 0.002
49	s	ARRD	AL	LC	0.531***	0.911	0.217
50	s	ARRD	AL	PC	0.149***	0.020***	0.011
51	s	ARRD	AL	HL	0.114***	− 0.001***	− 0.001
52	s	ARRD	LC	PC	0.173***	− 0.037***	− 0.085
53	s	ARRD	LC	HL	0.034	0.134***	0.409
54	s	ARRD	PC	HL	0.137***	− 0.153***	− 0.201
55	g	ARRD	AL	LC	0.928***	0.104***	0.078
56	g	ARRD	AL	PC	1.078***	0.042***	0.024
57	g	ARRD	AL	HL	0.665***	0.065***	0.084
58	g	ARRD	LC	PC	1.132***	− 0.019***	− 0.015
59	g	ARRD	LC	HL	0.612***	0.115***	0.196
60	g	ARRD	PC	HL	0.720***	0.010***	0.021

The hypotheses being tested are α = 0 and β = 1

Here the parameters are comparable. The α (intercept) and β (slope) values are obtained from a regression of the estimated parameter value for the y preference functional against the estimated parameter value for the x preference functional. The ρ value is the correlation coefficient. If they produce the same estimates α should be zero and β should be unity

Key: see key for Table 4

* Significantly different at 10%; ** at 5% and *** at 1%