Multiple Responses/Dichotomies  Paired Crosstabulation
of Multiple Response Variables
A unique option for tabulating multiple
response variables is to treat the variables in two or more multiple
response variables as matched pairs. Again, this method is best illustrated
with a simple example. Suppose we conducted a survey of past and present
home ownership. We asked the respondents to describe their last three
(including the present) homes that they purchased. Naturally, for some
respondents the present home is the first and only home; others have owned
more than one home in the past. For each home we asked our respondents
to write down the number of rooms in the respective house, and the number
of occupants. Here is how the data for one respondent (say case number
112) may be entered into a data file:
Case no. 
Rooms 
1 
2 
3 
No. Occ. 
1 
2 
3 
112 

3 
3 
4 

2 
3 
5 
This respondent owned three homes; the first had 3 rooms, the second
also had 3 rooms, and the third had 4 rooms. The family apparently also
grew; there were 2 occupants in the first home, 3 in the second, and 5
in the third.
Now suppose we wanted to crosstabulate the number of rooms by the number
of occupants for all respondents. One way to do so is to prepare three
different twoway tables; one for each home. We can also treat the two
factors in this study (Rooms,
No. Occ.) as multiple
response variables. However, it would obviously not make any sense
to count the example respondent 112 shown above in cell 3 Rooms
 5 Occupants of the crosstabulation
table (which we would, if we simply treated the two factors as ordinary
multiple response variables). In other words, we want to ignore the combination
of occupants in the third home with the number of rooms in the first home.
Rather, we would like to count these variables in pairs; we would like
to consider the number of rooms in the first home together with the number
of occupants in the first home, the number of rooms in the second home
with the number of occupants in the second home, and so on. This is exactly
what will be accomplished if we asked for a paired crosstabulation of
these multiple response variables.