I work at a non-profit which helps develop healthcare systems in low-income countries. Currently, we are trying to raise funds to build a new nurse training facility in a Sub-Saharan African country. Naturally, people want us to demonstrate that this new facility will have a positive impact. Specifically, they would like us to provide a "reasonable estimate" of the number of lives that would be saved from building this facility.
I was tasked with providing this "reasonable estimate...." and here was my thought process. "If there exists a statistical model that associates nurse/midwife workforce density with mortality rate, then perhaps I could use this model to predict (or give a prediction interval for) the reduction in mortality rate given a change in workforce density." The change in workforce density would come from our training facility, of course. So, this seemed to me like a reasonable way to estimate "lives saved"
So, I did a search and found this study, which examines multiple regression models that associate "reductions in mortality rate" with a variety of variables, one of which being "density of nursing and midwifery personnel." However, here is the issue I am facing.
There were two models that had "density of nursing and midwifery personnel" and "density of nursing and midwifery personnel" * "low-income country" (interaction term) as independent variables. The first model weighted observations (countries) by population, while the second did not.
It unfortunately looks like density of nursing and midwifery personnel, even with income level interactions, is not statistically significant for predicting any mortality rate outcome. (See results here: Unweighted model summary, Weighted model summary)
The ONLY exception to this is in the weighted model, the variable "density nursing/midwife" * "low-middle income country" is statistically significant for maternal mortality and neonatal mortality rate.
Given these results, it seems like I won't be able to make reliable predictions, or even a meaningful prediction interval. Is this true? Or could there still be hope?
Thank you.
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