Reference and base

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Reference and base

Postby bobby1994 » Wed May 28, 2025 12:25 am

Best professor,

I have an efficient design with three alternatives. alt1, alt2 and PE-PE (alt3).So, there is a dummy variable combo that has 9 values 1 till 9. Each represent an combination of an access alternative (BTM, bike, walking) and an egress alternative (BTM, Bike, walking).

My question is. With eight zero's, in the dummy coefficient, that means that the 9th value of the combo attribute is the reference right?

Of all the three alternatives, the alternative 3 is the base. So how will I inpret this when estimating the coefficients? because I actually want the PE-PE alternative as base and this combination should not be shown in alternatve 1 and alternative 2.


Design
;alts = alt1, alt2, PE_alt
;rows = 27
;block = 3
;eff = (mnl,d)

;cond:

if(alt1.combo1 = [5,6,8,9], alt1.Cost1 = 0),
if(alt2.combo2 = [5,6,8,9], alt2.Cost2 = 0),
if(alt1.combo1 = [1,2,3,4,7,10], alt1.Cost1 > 0),
if(alt2.combo2 = [1,2,3,4,7,10], alt2.Cost2 > 0)

;model:
U(alt1) = b_att * AT1[5, 10, 15] access time
+ b_ett * ET1[5, 10, 15] egress time
+ b_cost * Cost1[0,0.5, 1.5, 3.0]
+ b_eff.dummy[0|0] * Effort1[1,2,0]
+ b_safe.dummy[0|0] * Safety1[1,2,0]
+ b_combo.dummy[0|0|0|0|0|0|0|0] * combo1[1,2,3,4,5,6,7,8,9] /

U(alt2) = b_att * AT2[5, 10, 15]
+ b_ett * ET2[5, 10, 15]
+ b_cost * Cost2[0,0.5, 1.5, 3.0]
+ b_eff[0|0] * Effort2[1,2,0]
+ b_safe[0|0] * Safety2[1,2,0]
+ b_combo.dummy[0|0|0|0|0|0|0|0] * combo2[1,2,3,4,5,6,7,8,9] /

U(PE_alt) = ASC_PE
+ b_att_PE * AT3[5, 10, 15]
+ b_ett_PE * ET3[5, 10, 15]
+ b_cost_PE * Cost3[0.5, 1.5, 3.0]
+ b_eff_PE.dummy[0|0] * Effort3[1,2,0]
+ b_safe_PE.dummy[0|0] * Safety3[1,2,0]
bobby1994
 
Posts: 17
Joined: Tue Nov 26, 2024 1:44 am

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