Ratio of applicants to jobs for engineering professor or assistant professor Where can I find statistics for jobs to applicant ratios for engineering professorships or assistant professorships?

The reason I'm asking this is I'm thinking this might be the best metric to determine whether become a professor in an engineering field is "easier" (greater probability of being hired) than a humanities related field.

If the ratio I requested isn't a useful statistic, I am also open to other metrics.
At my institution I would say the ration is about 1:6. But this is a really bad metric for 'hardness of getting hired'. For example in the humanities typically applicants' hair is already greying, while engineering applicants almost still have their milk teeth. That is a much stronger indication that humanities jobs are much harder to get than engineering academic jobs.