Your explanation of independent and dependent variables in your EBP project is accurate. The independent variable is the one that is manipulated in order to influence the dependent variable, which is the outcome that is measured. In this case, early mobility is the independent variable, and hospital length of stay is the dependent variable.
It is essential to have clear definitions of these variables to measure the effectiveness of an intervention accurately. Collecting data before and after implementing the early mobility protocol for ICU patients is an appropriate approach to determine the impact of the intervention on hospital length of stay.
It is also crucial to consider any confounding variables that may affect the results. For example, the severity of illness or comorbidities of the patients may influence the hospital length of stay, regardless of whether or not they receive early mobility. Controlling for these factors will help ensure that any differences observed are due to the intervention and not other variables.
Overall, understanding independent and dependent variables is critical in EBP projects to accurately measure the impact of an intervention and make evidence-based decisions.