The basic conjoint analysis model expressing the fundamental relationship between attributes and utility in conjoint analysis is shown below:
$$U ( X ) = \sum _ { i = 1 } ^ { m } \sum _ { j = 1 } ^ { k i } \alpha _ { i j } X _ { i j }$$
What does Xij represent?
A) number of levels of attribute i
B) number of attributes
C) 1 if the jth level of the ith attribute is present,or 0 otherwise
D) the part-worth contribution or utility associated with jth level (j,j=1,2,...ki)of the ith attribute (i,i=1,2,...m)

Question

The basic conjoint analysis model expressing the fundamental relationship between attributes and utility in conjoint analysis is shown below: 
$$U ( X ) = \sum _ { i = 1 } ^ { m } \sum _ { j = 1 } ^ { k i } \alpha _ { i j } X _ { i j }$$
What does Xij represent?
A) number of levels of attribute i
B) number of attributes
C) 1 if the jth level of the ith attribute is present,or 0 otherwise
D) the part-worth contribution or utility associated with jth level (j,j=1,2,...ki)of the ith attribute (i,i=1,2,...m)

Quizplus · Accepted Answer

Xij represents a binary variable that is 1 if the jth level of the ith attribute is present, or 0 otherwise.

The Basic Conjoint Analysis Model Expressing the Fundamental Relationship Between U(X)=∑i=1m∑j=1kiαijXijU ( X ) = \sum _ { i = 1 } ^ { m } \sum _ { j = 1 } ^ { k i } \alpha _ { i j } X _ { i j }U(X)=i=1∑m​j=1∑ki​αij​Xij​

The Basic Conjoint Analysis Model Expressing the Fundamental Relationship Between $U ( X ) = \sum _ { i = 1 } ^ { m } \sum _ { j = 1 } ^ { k i } \alpha _ { i j } X _ { i j }$