Total time-lag factor of technology licensing data of U.S. research institutions incorporating multiple paths in the licensing process

Performance evolution of universities´ licensing practice has been a favorable interest in literature. However, the existing studies implicitly or explicitly states their limitation of ignoring time-lag effects of the licensing variables such as expenditure, patents, start-up licensing income. A statistics process detecting time-lag coefficients of licensing variables of U.S. research institutions were developed at authors´ previous study which provided insights of the time-lags of all the licensing variables. This study follows up the previous study and suggests an approach incorporating multiple paths in the licensing process with the time-lag coefficients. The time-lags identified from the previous study include both direct and indirect relationships presenting time duration among licensing activities. As a result multiple time-lag relations are involved in multiple paths from a licensing activity to another activity. In order to use the identified time-lag effect for the evaluation of the whole licensing process, an approach to connect the lag effects of all other licensing variables to the output variable at the final licensing process is required. For this purpose, this study defines a time-lag transform function which is applied for all possible licensing paths, and generates total time-lag factored licensing data.