I am looking for a package to analyze rank-order data in the form of regression. My outcome (dependent) variable is a rank ordering in the sense that the respondents to a questionnaire were asked a single question: to assign the values 1 to 4 to four different objects (e.g. to rank four cars as best , second best etc). Their first preference was number 1, their second was number 2 etc. So, for each respondent we have four observations.
My first reaction was to analyze the data as a repeated-measures design where I considered the four rankings as four observations for the same person (one response per option). This would be an easy case of ordinal regression (e.g. proportional odds model) using the excellent package of Frank Harrel (thank you Frank). However, these are not four independent observations per person, because if a respondent assigned the values to the first three objects, then the rank of the fourth object is pre-determined.
Does anyone know if there is a package that can fit a more appropriate model such as the Sin‐Ho Jung and Zhiliang Ying (2003) "Rank‐based regression with repeated measurements data", Biometrica, 90 (3), 732-740.