Minitab Project Report

General Linear Model: click rate versus behavior

Factor     Type Levels Values 
behavior  fixed      5 foraging  milling   play      resting   traveling

Analysis of Variance for click ra, using Adjusted SS for Tests

Source     DF     Seq SS     Adj SS     Adj MS       F      P
behavior    4    1505456    1505456     376364   73.56  0.000
Error     399    2041465    2041465       5116
Total     403    3546921  

Unusual Observations for click ra

Obs  click ra       Fit      SE Fit  Residual   St Resid
  6   232.000    89.519       8.152   142.481      2.00R 
  7   381.000    89.519       8.152   291.481      4.10R 
130   233.000    70.881       4.589   162.119      2.27R 
147   357.000    70.881       4.589   286.119      4.01R 
152   248.000    70.881       4.589   177.119      2.48R 
153   240.000    70.881       4.589   169.119      2.37R 
185   255.000    70.881       4.589   184.119      2.58R 
186   227.000    70.881       4.589   156.119      2.19R 
222   448.000    70.881       4.589   377.119      5.28R 
224   283.000    70.881       4.589   212.119      2.97R 
225   228.000    70.881       4.589   157.119      2.20R 
249   288.000    70.881       4.589   217.119      3.04R 
388   196.000    19.086      12.091   176.914      2.51R 
389   162.000    19.086      12.091   142.914      2.03R 
394    64.000   425.818      21.567  -361.818     -5.31RX
395    34.000   425.818      21.567  -391.818     -5.75RX
396   454.000   425.818      21.567    28.182      0.41 X
397   757.000   425.818      21.567   331.182      4.86RX
398   589.000   425.818      21.567   163.182      2.39RX
399   486.000   425.818      21.567    60.182      0.88 X
400   364.000   425.818      21.567   -61.818     -0.91 X
401   404.000   425.818      21.567   -21.818     -0.32 X
402   491.000   425.818      21.567    65.182      0.96 X
403   590.000   425.818      21.567   164.182      2.41RX
404   451.000   425.818      21.567    25.182      0.37 X

R denotes an observation with a large standardized residual.
X denotes an observation whose X value gives it large influence.

Expected Mean Squares, using Adjusted SS

Source       Expected Mean Square for Each Term
 1 behavior  (2) + Q[1]
 2 Error     (2)

Error Terms for Tests, using Adjusted SS

Source       Error DF  Error MS  Synthesis of Error MS
 1 behavior    399.00      5116  (2)

Variance Components, using Adjusted SS

Source    Estimated Value
Error                5116

Least Squares Means for click ra

 behavior      Mean   SE Mean
foraging      89.52     8.152
milling       49.55    11.604
play         425.82    21.567
resting       19.09    12.091
traveling     70.88     4.589

Tukey 95.0% Simultaneous Confidence Intervals
Response Variable click ra
All Pairwise Comparisons among Levels of behavior                              

behavior = foraging subtracted from:

behavior     Lower    Center     Upper  ---------+---------+---------+-------
milling      -78.7    -39.97     -1.26                  (*-) 
play         273.4    336.30    399.23                                (-*--) 
resting     -110.2    -70.43    -30.63                 (*-) 
travelin     -44.2    -18.64      6.89                   (*) 
                                        ---------+---------+---------+-------
                                               -250         0       250

behavior = milling subtracted from:

behavior     Lower    Center     Upper  ---------+---------+---------+-------
play        309.42    376.27    443.11                                 (--*--) 
resting     -76.21    -30.47     15.27                  (-*-) 
travelin    -12.73     21.33     55.39                    (-*) 
                                        ---------+---------+---------+-------
                                               -250         0       250

behavior = play subtracted from:

behavior     Lower    Center     Upper  ---------+---------+---------+-------
resting     -474.2    -406.7    -339.2  (--*-) 
travelin    -415.1    -354.9    -294.8    (--*-) 
                                        ---------+---------+---------+-------
                                               -250         0       250

behavior = resting subtracted from:

behavior     Lower    Center     Upper  ---------+---------+---------+-------
travelin     16.50     51.79     87.09                      (*) 
                                        ---------+---------+---------+-------
                                               -250         0       250

Tukey Simultaneous Tests
Response Variable click ra
All Pairwise Comparisons among Levels of behavior                              

behavior = foraging subtracted from:

Level        Difference       SE of             Adjusted
behavior       of Means  Difference   T-Value    P-Value
milling          -39.97      14.181    -2.818     0.0388
play             336.30      23.056    14.586     0.0000
resting          -70.43      14.582    -4.830     0.0000
travelin         -18.64       9.354    -1.993     0.2696

behavior = milling subtracted from:

Level        Difference       SE of             Adjusted
behavior       of Means  Difference   T-Value    P-Value
play             376.27       24.49    15.364     0.0000
resting          -30.47       16.76    -1.818     0.3630
travelin          21.33       12.48     1.709     0.4282

behavior = play subtracted from:

Level        Difference       SE of             Adjusted
behavior       of Means  Difference   T-Value    P-Value
resting          -406.7       24.72    -16.45     0.0000
travelin         -354.9       22.05    -16.10     0.0000

behavior = resting subtracted from:

Level        Difference       SE of             Adjusted
behavior       of Means  Difference   T-Value    P-Value
travelin          51.79       12.93     4.005     0.0006