How to fix each of attribute level?

[sukunta]

Dear Prof.Michiel Bliemer,
This is the syntax of the fixed effect design

Code: Select all

Design
;alts=alt1*,alt2*,alt3
;rows=24
;block=2
;eff=(mnl,d)
; con
;model:
U(alt1)=b0[0.00001]+b1.dummy [0.000004|0.000003|0.000002|0.000001|0.000001] * locate[5,4,3,2,1,0]+b2.dummy[0.000002|0.000001|0.000001] * pretest[3,2,1,0]+b3.dummy [0.000002|0.000001|0.000001] * posttest[3,2,1,0]+b4.dummy[-0.000002] *anonym [1,0]+ b5.dummy[0.000002] *method[1,0]+b6[-0.000004]*price[0,100,300,700]/
U(alt2)=b0+b1*locate+b2* pretest+b3* posttest+b4*anonym+ b5.dummy *method+b6*price
$

I want to fix the attribute levels between the zero cost and 0 anonym level; 100, 300, and 700 between 1 anonym level in each alternative. Please, recommend to me how to determine the syntax for that design.
Sincerely yours,
Sukunta

[Michiel Bliemer]

You can impose conditional constraints, such as:

;cond:
if(alt1.anonym=0, alt1.price=0), if(alt2.anonym=0, alt2.price=0),
if(alt1.anonym=1, alt1.price>0),if(alt2.anonym=1, alt2.price>0)

Michiel

[sukunta]

Dear Prof.Michiel Bliemer,
Thank you so much. However, the levels were not balanced. How I fix this problem?

Sincerely yours,
Sukunta

[Michiel Bliemer]

With constraints it is usually not possible to also balance all attribute levels.

You could impose attribute level constraints in combination with the modified Federov algorithm, for example in the script below.

Code: Select all

Design
;alts=alt1*,alt2*,alt3
;rows=24
;block=2
;eff=(mnl,d)
;alg = mfederov
;reject:
alt1.anonym=0 and alt1.price>0, alt2.anonym=0 and alt2.price>0,
alt1.anonym=1 and alt1.price=0, alt2.anonym=1 and alt2.price=0
;con
;model:
U(alt1) = b0[0.00001]
        + b1.dummy[0.000004|0.000003|0.000002|0.000001|0.000001] * locate[5,4,3,2,1,0]
        + b2.dummy[0.000002|0.000001|0.000001]                   * pretest[3,2,1,0]
        + b3.dummy [0.000002|0.000001|0.000001]                  * posttest[3,2,1,0]
        + b4.dummy[-0.000002]                                    * anonym[1,0]
        + b5.dummy[0.000002]                                     * method[1,0]
        + b6[-0.000004]                                          * price[0,100,300,700](5-7,5-7,5-7,5-7)
        /
U(alt2) = b0+b1*locate+b2* pretest+b3* posttest+b4*anonym+ b5 *method+b6*price
$

Usually it is not necessary to add attribute level constraints to categorical variables but you could if needed.
You could also use something like:

;eff = 1*(mnl,d) + 2*(imbalance)

This not only minimises the D-error but also minimises attribute level imbalance.

I refer to the Ngene manual for further explanations of the various properties.

Michiel

[sukunta]

Dear Prof.Michiel Bliemer,
Thank you so much for your recommendation.
Sincerely yours,
Sukunta