Results: RepeatedMantids.sas

Mantids Data: Thanks to Stephanie Hill

The FREQ Procedure

The FREQ Procedure

Table 1 of Predator * Distance

Cross-Tabular Freq Table

Frequency
Table 1 of Predator by Distance
Controlling for Sex=Male
Predator Distance
1=8cm 2=13cm 3=18cm Total
Vinny
7
7
7
21
Chickpea
8
8
8
24
Emily
5
5
5
15
Bramble
9
9
9
27
Total
29
29
29
87

Table 2 of Predator * Distance

Cross-Tabular Freq Table

Frequency
Table 2 of Predator by Distance
Controlling for Sex=Female
Predator Distance
1=8cm 2=13cm 3=18cm Total
Vinny
10
10
10
30
Chickpea
7
7
7
21
Emily
6
6
6
18
Bramble
5
5
5
15
Total
28
28
28
84

Mantids Data: Thanks to Stephanie Hill

Predator is a fixed effect

The Mixed Procedure

The MIXED Procedure

Model Information

Model Information
Data Set WORK.BUGS
Dependent Variable Calls
Covariance Structure Unstructured
Subject Effect id
Estimation Method REML
Residual Variance Method None
Fixed Effects SE Method Model-Based
Degrees of Freedom Method Between-Within

Class Level Information

Class Level Information
Class Levels Values
Sex 2 Female Male
Predator 4 Bramble Chickpea Emily Vinny
Distance 3 1=8cm 2=13cm 3=18cm

Dimensions

Dimensions
Covariance Parameters 6
Columns in X 60
Columns in Z 0
Subjects 57
Max Obs per Subject 3

Number of Observations

Number of Observations
Number of Observations Read 171
Number of Observations Used 171
Number of Observations Not Used 0

Iteration History

Iteration History
Iteration Evaluations -2 Res Log Like Criterion
0 1 1276.89660248  
1 1 1238.85078928 0.00000000

Convergence Status

Convergence criteria met.

Covariance Parameter Estimates

Covariance Parameter Estimates
Cov Parm Subject Estimate
UN(1,1) id 203.06
UN(2,1) id 141.72
UN(2,2) id 249.57
UN(3,1) id 101.00
UN(3,2) id 114.05
UN(3,3) id 305.72

Fit Statistics

Fit Statistics
-2 Res Log Likelihood 1238.9
AIC (Smaller is Better) 1250.9
AICC (Smaller is Better) 1251.5
BIC (Smaller is Better) 1263.1

Null Model Likelihood Ratio Test

Null Model Likelihood Ratio Test
DF Chi-Square Pr > ChiSq
5 38.05 <.0001

Type 3 Tests of Fixed Effects

Type 3 Tests of Fixed Effects
Effect Num DF Den DF F Value Pr > F
Sex 1 49 14.82 0.0003
Predator 3 49 2.22 0.0972
Sex*Predator 3 49 0.17 0.9180
Distance 2 49 23.25 <.0001
Sex*Distance 2 49 0.37 0.6956
Predator*Distance 6 49 4.38 0.0013
Sex*Predato*Distance 6 49 0.68 0.6637

Least Squares Means

Least Squares Means
Effect Sex Predator Distance Estimate Standard
Error		 DF t Value Pr > |t|
Sex Female     61.2690 2.4960 49 24.55 <.0001
Sex Male     74.6881 2.4327 49 30.70 <.0001
Distance     1=8cm 74.8436 1.9419 49 38.54 <.0001
Distance     2=13cm 70.5139 2.1528 49 32.75 <.0001
Distance     3=18cm 58.5783 2.3827 49 24.58 <.0001
Predator*Distance   Bramble 1=8cm 78.5667 3.9741 49 19.77 <.0001
Predator*Distance   Bramble 2=13cm 74.1222 4.4058 49 16.82 <.0001
Predator*Distance   Bramble 3=18cm 70.0667 4.8763 49 14.37 <.0001
Predator*Distance   Chickpea 1=8cm 75.9554 3.6875 49 20.60 <.0001
Predator*Distance   Chickpea 2=13cm 68.0000 4.0881 49 16.63 <.0001
Predator*Distance   Chickpea 3=18cm 41.4464 4.5246 49 9.16 <.0001
Predator*Distance   Emily 1=8cm 69.3167 4.3144 49 16.07 <.0001
Predator*Distance   Emily 2=13cm 70.4333 4.7831 49 14.73 <.0001
Predator*Distance   Emily 3=18cm 66.6000 5.2938 49 12.58 <.0001
Predator*Distance   Vinny 1=8cm 75.5357 3.5112 49 21.51 <.0001
Predator*Distance   Vinny 2=13cm 69.5000 3.8927 49 17.85 <.0001
Predator*Distance   Vinny 3=18cm 56.2000 4.3083 49 13.04 <.0001

Mantids Data: Thanks to Stephanie Hill

Predator is a random effect

The Mixed Procedure

The MIXED Procedure

Model Information

Model Information
Data Set WORK.BUGS
Dependent Variable Calls
Covariance Structures Variance Components, Compound Symmetry
Subject Effect id
Estimation Method REML
Residual Variance Method Profile
Fixed Effects SE Method Model-Based
Degrees of Freedom Method Containment

Class Level Information

Class Level Information
Class Levels Values
Sex 2 Female Male
Predator 4 Bramble Chickpea Emily Vinny
Distance 3 1=8cm 2=13cm 3=18cm

Dimensions

Dimensions
Covariance Parameters 6
Columns in X 12
Columns in Z 48
Subjects 1
Max Obs per Subject 171

Number of Observations

Number of Observations
Number of Observations Read 171
Number of Observations Used 171
Number of Observations Not Used 0

Iteration History

Iteration History
Iteration Evaluations -2 Res Log Like Criterion
0 1 1415.90185142  
1 4 1374.96998177 0.00000687
2 1 1374.96635987 0.00000000

Convergence Status

Convergence criteria met.

Covariance Parameter Estimates

Covariance Parameter Estimates
Cov Parm Subject Estimate Alpha Lower Upper
Predator   0 . . .
Sex*Predator   0 . . .
Predator*Distance   45.6212 0.05 17.9486 265.15
Sex*Predato*Distance   0 . . .
CS id 112.02 0.05 51.4805 172.55
Residual   130.06 0.05 100.85 174.15

Fit Statistics

Fit Statistics
-2 Res Log Likelihood 1375.0
AIC (Smaller is Better) 1381.0
AICC (Smaller is Better) 1381.1
BIC (Smaller is Better) 1379.1

Type 3 Tests of Fixed Effects

Type 3 Tests of Fixed Effects
Effect Num DF Den DF F Value Pr > F
Sex 1 3 16.99 0.0259
Distance 2 6 5.15 0.0499
Sex*Distance 2 6 0.38 0.7016

Mantids Data: Thanks to Stephanie Hill

No interactions of fixed effects factors with Predator

The Mixed Procedure

The MIXED Procedure

Model Information

Model Information
Data Set WORK.BUGS
Dependent Variable Calls
Covariance Structures Variance Components, Compound Symmetry
Subject Effect id
Estimation Method REML
Residual Variance Method Profile
Fixed Effects SE Method Model-Based
Degrees of Freedom Method Containment

Class Level Information

Class Level Information
Class Levels Values
Sex 2 Female Male
Predator 4 Bramble Chickpea Emily Vinny
Distance 3 1=8cm 2=13cm 3=18cm

Dimensions

Dimensions
Covariance Parameters 3
Columns in X 12
Columns in Z 4
Subjects 1
Max Obs per Subject 171

Number of Observations

Number of Observations
Number of Observations Read 171
Number of Observations Used 171
Number of Observations Not Used 0

Iteration History

Iteration History
Iteration Evaluations -2 Res Log Like Criterion
0 1 1415.90185142  
1 2 1390.28430527 0.00000000

Convergence Status

Convergence criteria met.

Covariance Parameter Estimates

Covariance Parameter Estimates
Cov Parm Subject Estimate Alpha Lower Upper
Predator   14.1709 0.05 2.7598 20014
CS id 100.63 0.05 39.1566 162.11
Residual   164.73 0.05 128.59 218.67

Fit Statistics

Fit Statistics
-2 Res Log Likelihood 1390.3
AIC (Smaller is Better) 1396.3
AICC (Smaller is Better) 1396.4
BIC (Smaller is Better) 1394.4

Type 3 Tests of Fixed Effects

Type 3 Tests of Fixed Effects
Effect Num DF Den DF F Value Pr > F
Sex 1 162 17.01 <.0001
Distance 2 162 27.42 <.0001
Sex*Distance 2 162 0.36 0.7007

Least Squares Means

Least Squares Means
Effect Sex Distance Estimate Standard
Error		 DF t Value Pr > |t|
Sex Female   61.0251 3.0338 162 20.11 <.0001
Sex Male   74.7790 2.9961 162 24.96 <.0001
Distance   1=8cm 75.1079 2.8701 162 26.17 <.0001
Distance   2=13cm 70.6486 2.8701 162 24.62 <.0001
Distance   3=18cm 57.9497 2.8701 162 20.19 <.0001

Differences of Least Squares Means

Differences of Least Squares Means
Effect Sex Distance _Sex _Distance Estimate Standard
Error		 DF t Value Pr > |t| Adjustment Adj P
Distance   1=8cm   2=13cm 4.4594 2.4045 162 1.85 0.0655 Bonferroni 0.1964
Distance   1=8cm   3=18cm 17.1583 2.4045 162 7.14 <.0001 Bonferroni <.0001
Distance   2=13cm   3=18cm 12.6989 2.4045 162 5.28 <.0001 Bonferroni <.0001