Hi-

I am reporting results from a mixed effects model in which Place (-,+) and 
Voice (-,+) are fixed effect factors.  I would like to plot the coefficient 
estimates along with their 95% CIs to visualise my results.  The model and 
MCMC estimations look like this:

artic.lmer <- lmer(nonorm ~ relevel(artic5$place, "place-") * 
relevel(voice, "voice-") + (1 | sub) + (1 | item), data=artic5)

pvals.fnc(artic.lmer)

$fixed
                                                                                
                                        Estimate
(Intercept)                                                                     
                                1.7156
relevel(artic5$place, "place-")place+                                           
        1.4482
relevel(voice, "voice-")voice+                                                  
                0.9149
relevel(artic5$place, "place-")place+:relevel(voice, "voice-")voice+  -1.0889
                                                                                
                                        MCMCmean
(Intercept)                                                                     
                                1.7169
relevel(artic5$place, "place-")place+                                           
        1.4504
relevel(voice, "voice-")voice+                                                  
                0.9147
relevel(artic5$place, "place-")place+:relevel(voice, "voice-")voice+  -1.0918
                                                                                
                                        HPD95lower
(Intercept)                                                                     
                                1.0303
relevel(artic5$place, "place-")place+                                           
        0.9469
relevel(voice, "voice-")voice+                                                  
                0.3433
relevel(artic5$place, "place-")place+:relevel(voice, "voice-")voice+    -1.6631
                                                                                
                                        HPD95upper
(Intercept)                                                                     
                                2.4780
relevel(artic5$place, "place-")place+                                           
        1.9432
relevel(voice, "voice-")voice+                                                  
                1.4374
relevel(artic5$place, "place-")place+:relevel(voice, "voice-")voice+    -0.4564
                                                                                
                                        pMCMC
(Intercept)                                                                     
                                0.0012
relevel(artic5$place, "place-")place+                                           
        0.0001
relevel(voice, "voice-")voice+                                                  
                0.0012
relevel(artic5$place, "place-")place+:relevel(voice, "voice-")voice+    0.0006
                                                                                
                                        Pr(>|t|)
(Intercept)                                                                     
                                0.0000
relevel(artic5$place, "place-")place+                                           
        0.0000
relevel(voice, "voice-")voice+                                                  
                0.0009
relevel(artic5$place, "place-")place+:relevel(voice, "voice-")voice+    0.0004

My understanding is that the value for each cell in the 2 X 2 design can be 
calculated in the following way:

place-,voice-   = 1.7156
place-,voice+  = 1.7516 + 0.9149 = 2.67
place+, voice- = 1.7516 + 1.4482 = 3.20
place+,voice+ = 1.7516 + 0.9149 + 1.4482 - 1.0889 =  3.03

Now if I want to report the 95% CIs around those values can I use the same 
procedure?  So the place-,voice+ lower CI would be equivalent to 0.9469 + 
1.7156 and the higher CI equivalent to 1.943 + 1.7156, and so on...

Any clarifications on this would be greatly appreciated.

Cheers,
Corey McMillan



-- 
Corey McMillan
University of Edinburgh
School of Philosophy, Psychology, and Language Sciences

email: [EMAIL PROTECTED]
web: http://homepages.ed.ac.uk/s0340151

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