## Full model: ltvlmer # lme4 Linear mixed model fit by REML Formula: log(TotVolha + 10) ~ SDI * Dq * SpH + Standage + (1 | Site/Block/Spacing) Data: temp2 AIC BIC logLik deviance REMLdev -545.6 -500.3 285.8 -767.5 -571.6 Random effects: Groups Name Variance Std.Dev. Spacing:(Block:Site) (Intercept) 2.1623e-03 0.0465009 Block:Site (Intercept) 0.0000e+00 0.0000000 Site (Intercept) 5.5504e-05 0.0074501 Residual 1.8508e-03 0.0430206 Number of obs: 240, groups: Spacing:(Block:Site), 30; Block:Site, 6; Site, 3 Fixed effects: Estimate Std. Error t value (Intercept) 1.960e+00 2.219e-02 88.34 SDI 7.097e-03 2.972e-04 23.88 Dq 5.454e-02 2.050e-03 26.61 SpH 4.828e-05 6.566e-06 7.35 Standage 1.242e-02 8.680e-04 14.32 SDI:Dq -9.330e-05 7.840e-06 -11.90 SDI:SpH 2.031e-07 2.108e-08 9.63 Dq:SpH -7.105e-05 5.782e-06 -12.29 SDI:Dq:SpH -4.514e-08 2.281e-09 -19.79 ## Full model: ltvlme # nlme Linear mixed-effects model fit by REML Data: gtemp2 Log-restricted-likelihood: 285.7787 Fixed: log(TotVolha + 10) ~ SDI * Dq * SpH + Standage (Intercept) SDI Dq SpH Standage SDI:Dq SDI:SpH Dq:SpH SDI:Dq:SpH 1.960071e+00 7.097303e-03 5.453818e-02 4.828113e-05 1.242492e-02 -9.330051e-05 2.031427e-07 -7.105079e-05 -4.514305e-08 Random effects: Formula: ~1 | Site (Intercept) StdDev: 0.007450133 Formula: ~1 | Block %in% Site (Intercept) StdDev: 8.819877e-07 Formula: ~1 | Spacing %in% Block %in% Site (Intercept) Residual StdDev: 0.04650086 0.04302057 Number of Observations: 240 Number of Groups: Site Block %in% Site Spacing %in% Block %in% Site 3 6 30 ## Reduced model: ltvlmer.R # from lme4 Linear mixed model fit by REML Formula: log(TotVolha + 10) ~ SDI * Dq * SpH + Standage + (1 | Site) + (1 | Site:Spacing) Data: temp2 AIC BIC logLik deviance REMLdev -552.4 -510.6 288.2 -771.2 -576.4 Random effects: Groups Name Variance Std.Dev. Site:Spacing (Intercept) 3.0910e-03 5.5596e-02 Site (Intercept) 2.0443e-14 1.4298e-07 Residual 1.9970e-03 4.4688e-02 Number of obs: 240, groups: Site:Spacing, 15; Site, 3 Fixed effects: Estimate Std. Error t value (Intercept) 1.973e+00 2.661e-02 74.14 SDI 7.133e-03 3.072e-04 23.22 Dq 5.631e-02 2.115e-03 26.63 SpH 4.125e-05 6.882e-06 5.99 Standage 1.297e-02 8.515e-04 15.23 SDI:Dq -9.863e-05 7.946e-06 -12.41 SDI:SpH 2.097e-07 2.225e-08 9.42 Dq:SpH -7.277e-05 6.016e-06 -12.10 SDI:Dq:SpH -4.496e-08 2.387e-09 -18.84 ## Reduced model: ltvlme.R # from nlme Linear mixed-effects model fit by REML Data: gtemp2 Log-restricted-likelihood: 288.1774 Fixed: log(TotVolha + 10) ~ SDI * Dq * SpH + Standage (Intercept) SDI Dq SpH Standage SDI:Dq SDI:SpH Dq:SpH SDI:Dq:SpH 1.973098e+00 7.132971e-03 5.631438e-02 4.124882e-05 1.296953e-02 -9.863514e-05 2.096637e-07 -7.276967e-05 -4.496321e-08 Random effects: Formula: ~1 | Site (Intercept) StdDev: 1.149948e-06 Formula: ~1 | Spacing %in% Site (Intercept) Residual StdDev: 0.05559358 0.04468806 Number of Observations: 240 Number of Groups: Site Spacing %in% Site 3 15