Hi all,

I have a somewhat basic question that I thought I knew the answer to before
I started to look at lattice plots of my data compared to the lmer summary
output.  The output is as follows:

Summary(lf.lmer)

Linear mixed model fit by REML

Formula: LF ~ Environ + Year + NT + Environ * NT +      (Environ + 0 |
Male) + (1 | Male)

   Data: data

            AIC                 BIC                 logLik
 deviance
         REMLdev

            10375              10508              -5160               10611
           10319

Random effects:

 Groups           Name               Variance          Std.Dev.

 Male               Environ           19339.7           139.067

 Male               (Intercept)       136682.2         369.706

 Residual                                 8494.6             92.166

Number of obs: 864, groups: Male, 59



Fixed effects:

                                                Estimate          Std.
Error
t value                         Pr(>|t|)

(Intercept)                               3882.30           146.14
26.565             < 2e-16 ***

Environ                                   181.37             81.29
2.231               0.030498 *

Year2012                                -227.81            109.46
-2.081              0.043033 *

NT2                                        -695.88            204.01
-3.411              0.001332 **

NT3                                        -512.99            169.77
-3.022              0.003990 **

NT4                                        -923.74            257.62
-3.586              0.000793 ***

NT5                                        -497.34            301.71
-1.648              0.106198

NT6                                        -492.54            205.25
-2.400              0.020442 *

NT7                                        -140.23            256.88
-0.546              0.587749

NT8                                        89.31               191.34
0.467               0.642776

NT9                                        288.10             295.87
0.974               0.335439

NT10                                      956.39             297.30
3.217               0.002381 **

NT11                                      -462.32            258.87
-1.786              0.080401 .

NT12                                      788.41             398.64
1.978               0.054255 .

Environ:NT2                            202.60             107.99
1.876               0.069236 .

Environ:NT3                            -178.25            97.34
-1.831              0.074108 .

Environ:NT4                            -167.50            141.26
-1.186              0.243358

Environ:NT5                            -149.19            157.95
-0.945              0.350711

Environ:NT6                            161.91             113.32
1.429               0.161585

Environ:NT7                            -227.35            138.57
-1.641              0.111677

Environ:NT8                            -86.25              107.79
-0.800              0.428252

Environ:NT9                            -106.92            156.84
-0.682              0.499778

Environ:NT10                          -43.84              153.00
-0.287              0.776171

Environ:NT11                          -106.55            143.89
     -0.740
             0.463213

Environ:NT12                          -275.49            197.23
     -1.397
             0.172351

---

Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Anova(lf.lmer,ddf=”Kenward-Rogers”)

Analysis of Variance Table with  Kenward-Roger  approximation for degrees
of freedom

                                                Df        Sum Sq
     Mean
Sq          F value            Denom            Pr(>F)

Environ                                     1          224985
224985            9.4594             37.189             0.003926 **

Year                                         1          74638
74638              4.3218             46.033             0.043227 *

N T                                           11        602363
54760              6.5773             46.192             1.86e-06 ***

Environ:NT                                11        272641            24786
            2.9015             37.309             0.007367 **

---

Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

1).  Is the population LF 3882.30 and the average response to an increase
in 1 unit of Environ 181.37 or are these NT1's results?  If these are the
population estimates and note NT1's results, where are NT1's results?

2).  Is LF in Year2012 227.81 lower than 2011 or 227.81 lower than the
population?

3).  Is NT2's intercept -695.88 lower than NT1 or the population?

4).  How do I interpret the interaction between Environ and NT?  I am
assuming that I ignore Environ and pay attention to the significance of
each interaction, which in that case means there is not significant change
in LF in response to Environ for each NT.  Is this true?  If so, why does
that anova table say that this interaction is highly significant
(p=0.007367)?



I'm sorry if this seems overly trivial and easy, but I am second guessing
myself a lot right now.  Any help would be greatly appreciated.  I tried to
format the output so all items are lined up neatly, I apologize if after
posting, things are not aligned.

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