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Table 3. Results for five multilevel logistic regression models of the final decision of the board of trustees (N = 8,496 proposals).

Null model Random intercept + female reviewer, female applicant Random intercept/slope + female reviewer, female applicant Random intercept + female reviewer, female applicant + covariates Final model
Term Est. Par. Est. SE Scal. Est. SE Scal. Est. SE Scal. Est. SE Scal. Est. SE Scal.
Notes. Est. Par. = parameter, Est. = estimated parameter value, SE = standard error, Scal. = rescaled parameter, −2LogL = deviance, BIC = Schwarz Bayesian information criterion. The variance of the residuals εji is fixed to 3.29. *p < .05 (t-test; t-value and degrees of freedom are not reported), p < .05 (Wald test).
Fixed effects
 Intercept β0 −0.18* 0.04 −0.10 −0.12* 0.05 −0.06 −0.12* 0.05 −0.06 −1.10* 0.23 −0.20 −1.43* 0.10 −0.26
 Female reviewer minority β1 −0.13 0.07 −0.07 −0.13 0.08 −0.07 −0.14 0.15 −0.03
 Female reviewer parity/maj. β2 −0.21* 0.08 −0.11 −0.21* 0.08 −0.11 −0.60* 0.20 −0.11 −0.54* 0.18 −0.10
 Female applicant β3 −0.08 0.08 −0.04 −0.08 0.08 −0.04 0.76 0.55 0.14
 Female Reviewer Minority × Female Applicant β4 0.22 0.17 0.11 0.16 0.20 0.08 0.27 0.28 0.05
 Female Reviewer Parity or Majority × Female Applicant β5 −0.04 0.15 −0.02 −0.04 0.15 −0.02 0.05 0.27 0.01
 Mean overall rating β6 0.41* 0.01 0.07 0.41* 0.01 0.08
 Female Reviewer Minority × Overall Rating β7 0.006 0.02 0.00
 Female Reviewer Parity or Majority × Overall Rating β8 0.07* 0.03 0.01 0.06* 0.03 0.01
 Applicant’s age β9 −0.007 0.00 −0.00
 Applicant’s Age × Female Applicant β10 −0.01 0.01 −0.00
Random effects
 Intercept u0j σ2u0 0.29 0.04 0.08 0.28 0.04 0.08 0.28 0.04 0.08 1.48 0.20 0.05 1.46 0.20 0.05
  u1j σ2u1 0.02 0.07 0.01
  u2j σ2u2 0.00 0.00
  u3j σ2u3 0.00 0.00
  u4j σ2u4 0.39 0.48 0.10
  u5j σ2u5 0.00 0.00
  εji σ2ε 3.29 0.92 3.29 0.92 3.29 0.92 3.29 0.11 3.29 0.11
 −2LogL 11 240.6 11 225.6 11 224.3 5 044.7 5 062.2
 BIC 11 251.6 11 264.0 11 273.7 5 110.6 5 089.6