It is better to focus on technological innovation by measuring the extent of hospital management's reliance on information technology for patient management and treatment. And design a questionnaire to be distributed to patients and another to be distributed to hospital members
One of the basic ways to measure anything, is the Input, Output and Impact Model. Quantity or quality of inputs; quantity and quality of outputs and the impact of the outputs as well as the relationships between input, output and impacts.
The above can be applied across the entire "innovation value chain."
While technological innovations is indeed easy to measure as they are new diagnostic tools, instruments, processes and cure methods, most hospitals are in constant search for solving organizational problems by administrative innovations. Examples of those problems are very well presented in Jerry I. Porras "Stream analysis" (a photo of the book cover is enclosed). The detailed description of some hospital problems may help you to develop a proper questionnaire on administrative innovations in hospitals.
A hospital is one of the most difficult organizations in existence. It has teams that carry out the most varied professional occupations possible. They have specialized teams of doctors, who work with them in the most varied possible ties. I published a Health Services Marketing book that has already had two updates. I suggest studying small innovations, step by step.