Table 15 Significant predictors for LR on two binary treatment variables with estimated coefficients in 95% confidence interval (CI)

(a) death1yr

Feature

Estimate

95% CI

p-value

#nodes in domain HRR

−0.243

(−0.389−0.098)

1.03E−03

Physician distribution entropy

−0.313

(−0.625−0.0013)

0.049

PHN distribution entropy

−0.528

(−0.692−0.365)

2.34E−10

#pairs of nodes with reciprocal referrals

−2.496

(−3.666−1.325)

2.93E−05

Avg. PageRank values on a referral path

−2.290

(−2.803−1.778)

<2E−16

Avg. index of first occurrence

−0.569

(−0.974−0.164)

0.0059

Avg. proposed #cross-PHN referrals

1.628

(0.961 2.295)

1.73E−06

Avg. #referrals on the corresponding edges

8.696

(4.771 12.620)

1.41E−05

Avg. ranking-based weight on the corresponding edges

−3.973

(−6.426−1.519)

0.0015

#previous paths

2.204

(1.908 2.500)

<2E−16

Total RVU

11.414

(10.461 12.367)

<2E−16

Times of being the end node of the last physician

−2.985

(−4.075−1.896)

7.89E−08

Avg. first occurrence index of the last physician

4.869

(4.176 5.562)

<2E−16

Times of occurring multiple times of the last physician

1.778

(1.041 2.514)

2.23E−06

(b) PCI

Feature

Estimate

95% CI

p-value

Physician distribution entropy

−0.368

(−0.678−0.058)

0.019

PHN distribution entropy

0.547

(0.359 0.734)

1.08E−08

Avg. #common connected nodes between neighbors

0.487

(0.097 0.877)

0.014

Avg. PageRank values on a referral path

3.874

(3.337 4.411)

<2E−16

Avg. proposed #cross-PHN referrals

−1.738

(−2.278−1.197)

2.89E−10

Avg. #referrals on the corresponding edges

−2.222

(−3.822−0.622)

0.0065

#previous paths

−1.845

(−2.155−1.533)

<2E−16

Total RVU

−2.113

(−2.909−1.315)

2.02E−07

Local clustering coefficient of the last physician

−1.352

(−1.969−0.735)

1.76E−05

Avg. first occurrence index of the last physician

−3.024

(−4.034−2.013)

4.48E−09