Table 2. Results for four multilevel regression models of the single overall rating of a proposal across Year of Decision × Main Disciplines.

		Null model			Random intercept + female reviewer/female applicant			Random intercept/slope + female reviewer/female applicant			Random intercept + female reviewer/female applicant + applicant’s age
Term	Est. Par.	Est.		SE	Est.		SE	Est.		SE	Est.		SE
Notes. Est. Par. = parameter, Est. = estimated parameter value, SE = standard error, −2LogL = deviance, BIC = Schwarz Bayesian information criterion; N = 23,977 reviews. *p < .05 (t-test; t-value and degrees of freedom are not reported), †p < .05 (Wald test).
Fixed effects
Intercept	β0	81.65*		0.27	81.86*		0.28	81.86*		0.28	81.79*		0.28
Female reviewer	β1				−0.34		0.33	−0.34		0.33	−0.34		0.33
Female applicant	β2				−1.08*		0.35	−1.08*		0.35	−0.96*		0.36
Female Reviewer × Female Applicant	β3				0.72		0.68	0.72		0.68	0.70		0.68
Applicant’s age	β4										0.04*		0.01
Applicant’s Age × Female Reviewer	β5										−0.001		0.03
Applicant’s Age × Female Applicant	β6										−0.01		0.04
Random effects
Year × Discipline u0j	σ2u0	12.35†		1.60	12.44†		1.61	12.44†		1.62	12.08†		1.59
u1j	σ2u1							0.00		–
u2j	σ2u2							0.00		–
u3j	σ2u3							0.00		–
Proposal εk(j)	σ2ε(j)	51.73†		2.08	51.55†		2.08	51.55†		2.08	51.40†		2.08
εi(j k)	σ2ε	181.41†		2.10	181.41†		2.10	181.41†		2.10	181.50†		2.10
−2LogL			194 566.6			194 556.4			194 556.4			194 286.0
BIC			194 588.6			194 594.8			194 594.8			194 340.9