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. 2021 Oct 28;16(10):e0254582. doi: 10.1371/journal.pone.0254582

Table 2. Summary of scaling exponents.

Variable Public Research Universities Private Research Universities State Colleges Community Colleges Non-profit Private Colleges Professional Schools For-profit Colleges
Teaching expenditure 1.2±0.1 1.44±0.18 0.9±0.04 0.81±0.02 0.99±0.02 0.97±0.03 0.93±0.04
Tuition revenue 1.25±0.13 1.22±0.10 0.99±0.12 0.85±0.07 1.17±0.03 1.11±0.03 0.99±0.03
Research expenditure 1.52±0.31 1.75±0.61 0.89±0.27 - - - -
Research revenue 1.29±0.23 1.94±0.49 0.65±0.1 0.71±0.05 0.85±0.08 - -
Maintenance 1.07±0.11 1.33±0.18 0.8±0.05 0.88±0.02 0.89±0.02 - 0.75*±0.15
Total faculty 1.16±0.09 1.18±0.14 0.88±0.04 0.84±0.02 0.89±0.02 0.76±0.02 0.83±0.04
Faculty pay 1.2±0.1 1.4±0.17 0.91±0.04 0.82±0.02 0.98±0.02 - 0.92*±0.24
FSA completions 1.09±0.07 1.09±0.09 1.11±0.05 1.±0.03 0.99±0.04 - -
FTFT completions 1.24±0.06 1.17±0.04 1.11±0.04 0.79±0.04 1.09±0.02 1.02*±0.02 0.96*±0.05
Mid-career earnings 1.09±0.11 1.16±.15 1±0.03 0.97±0.02 1.18*±0.04 0.96*±0.1 0.95±0.05

Scaling exponents for maintenance and production variables, as well as number and pay of personnel, and some measures of student outcomes as a function of university size. A blank space indicates absence of usable data, and a * indicates that over half of the universities in that sector are missing. FSA: students receiving Federal Student Aid. FTFT: First-time Full-time students. For all variables, university size is measured as total enrollment, except in the case of completions, where the scaling relationship is with respect to cohort size (see SI Tables G1, G2 in S1 File). See SI Figs I1-I14 in S1 File for a complete analysis of the tradeoffs amongst sectors based on the scales at which features with different scaling exponents intersect. See SI Table H1 in S1 File for sensitivity of mid-career earnings scaling to the year chosen to measure the size of the school. See SI Table J1 in S1 File for a summary of all scaling results.