Minitab Project Report
10/25/07 for Wes

General Linear Model: fundamental freq versus animal

Factor     Type Levels Values 
animal    fixed      3 calf   mother random

Analysis of Variance for fundamen, using Adjusted SS for Tests

Source     DF     Seq SS     Adj SS     Adj MS       F      P
animal      2     214661     214661     107331    9.12  0.003
Error      13     153031     153031      11772
Total      15     367692  

When you report the results of the one way ANOVA you should report it as follows: F2,13 = 9.12, P=0.003

Expected Mean Squares, using Adjusted SS

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

Error Terms for Tests, using Adjusted SS

Source       Error DF  Error MS  Synthesis of Error MS
 1 animal       13.00     11772  (2)

Variance Components, using Adjusted SS

Source    Estimated Value
Error               11772

Least Squares Means for fundamen

animal      Mean   SE Mean
calf        2301     41.01
mother      1935     76.72
random      2180     41.01

These are the numbers used to create the excel bar graph.

Tukey 95.0% Simultaneous Confidence Intervals
Response Variable fundamen
All Pairwise Comparisons among Levels of animal                                

animal = calf subtracted from:

animal     Lower    Center     Upper  ----------+---------+---------+------
mother    -595.4    -366.0    -136.6  (-------*------) 
random    -274.2    -121.3      31.7             (----*----) 
                                      ----------+---------+---------+------
                                              -300         0       300

animal = mother subtracted from:

animal     Lower    Center     Upper  ----------+---------+---------+------
random     15.27     244.7     474.2                       (------*-------) 
                                      ----------+---------+---------+------
                                              -300         0       300

Tukey Simultaneous Tests
Response Variable fundamen
All Pairwise Comparisons among Levels of animal                                

animal = calf subtracted from:

Level      Difference       SE of             Adjusted
animal       of Means  Difference   T-Value    P-Value
mother         -366.0       86.99    -4.207     0.0027
random         -121.3       57.99    -2.091     0.1303

animal = mother subtracted from:

Level      Difference       SE of             Adjusted
animal       of Means  Difference   T-Value    P-Value
random          244.7       86.99     2.813     0.0365

To report the Tukey multiple pairwise comparisons report the values as follow:
Calf vs Mother: T = -4.207, P = 0.0027
Calf vs Random: T=-2.091, P = 0.1303
Mother vs Random: T=2.813, P = 0.0365