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. 2009 Aug 11;104(5):995–1004. doi: 10.1093/aob/mcp188

Table 3.

Log-linear analyses of the effect of the host tree (T) and year (Y) on fates (F) of epiphytic orchids conditional on their initial state (S) based on four-way contingency tables (T,Y,S,F) following Caswell (2001)

Model Log-likelihood ratio d.f. P AIC ΔAIC
Jacquiniella leucomelana
  STY,SF 581·1 176 <0·001 229·1 276·5
  STY,SFY 251·8 144 <0·001 –36·2 11·2
  STY,SFT 473·4 128 <0·001 217·4 264·8
  STY,SFY,SFT 144·6 96 0·001 –47·4 0
  SFYT 0 0 0 47·4
Jacquiniella teretifolia
  STY,SF 682·9 272 <0·001 138·9 397·9
  STY,SFY 441·4 240 <0·001 –38·6 220·4
  STY,SFT 245·7 192 0·005 –138·3 120·8
  STY,SFY,SFT 60·9 160 1·000 –259·1 0
  SFYT 0 0 0 259·1
Lycaste aromatica
  STY,SF 336·1 236 <0·001 –135·9 0
  STY,SFY 281·0 204 <0·001 –127·1 8·8
  STY,SFT 189·5 156 0·035 –122·5 13·4
  STY,SFY,SFT 138·8 124 0·172 –109·2 26·7
  SFYT 0 0 72* 207·9

P-values indicate the significance of the deviation of a model from the saturated model SFYT. The model with the lowest Akaike information criterion (AIC) was regarded as the best model (given in bold). Log-likelihood ratio statistic was used to calculate AIC.

* AIC of the saturated model deviates from zero, because one degree of freedom will be deducted for each structural zero by function loglm (Venables and Ripley, 2002).