How could I extract coefficients (b0 and b1) with their respectively standard errors for each experimental unit (plot )in a linear mixed model such as this one:
Bet
To get you partway there using nlme...
You can pull the components of summary() using:
summary(fitL1)$tTable[,1] #fixed-effect parameter estimates
summary(fitL1)$tTable[,2] #fixed-effect parameter standard errors
etc.
You can further subset those by rows:
summary(fitL1)$tTable[1,1] #the first fixed-effect parameter estimate
summary(fitL1)$tTable[1,2] #the first fixed-effect parameter standard error
to extract individual parameters or standard errors and combine them into a data frame using, for example:
df<-data.frame(cbind(summary(fitL1)$tTable[1,1], summary(fitL1)$tTable[1,2]))
names(df)<-c("Estimate","SE")
df
To adjust these parameters for each plot (the random effect, I presume), you can pull the random coefficients with:
fitL1$coefficients$random
and add them to the parameter estimates (B0 (intercept), B1, etc.). However, I am not sure how the standard errors should be adjusted for each plot.