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 |