One-way ANOVA for bark beetle sampling study

Obs site count y
1 1 137 2.13672
2 1 101 2.00432
3 1 113 2.05308
4 1 48 1.68124
5 1 155 2.19033
6 2 156 2.19312
7 2 165 2.21748
8 2 652 2.81425
9 2 179 2.25285
10 2 757 2.87910
11 3 278 2.44404
12 3 197 2.29447
13 3 95 1.97772
14 3 395 2.59660
15 3 83 1.91908
16 4 2540 3.40483
17 4 613 2.78746
18 4 200 2.30103
19 4 251 2.39967
20 4 390 2.59106
21 5 18 1.25527
22 5 16 1.20412
23 5 11 1.04139
24 5 21 1.32222
25 5 14 1.14613

One-way ANOVA for bark beetle sampling study; Plot of y by site y 1 2 3 4 site 1 2 3 4 5 One-way ANOVA for bark beetle sampling study

One-way ANOVA for bark beetle sampling study

The Mixed Procedure

Model Information
Data Set WORK.BARK_BEETLE
Dependent Variable y
Covariance Structure Variance Components
Estimation Method Type 3
Residual Variance Method Factor
Fixed Effects SE Method Kenward-Roger
Degrees of Freedom Method Kenward-Roger
Class Level Information
Class Levels Values
site 5 1 2 3 4 5
Dimensions
Covariance Parameters 2
Columns in X 1
Columns in Z 5
Subjects 1
Max Obs per Subject 25
Number of Observations
Number of Observations Read 25
Number of Observations Used 25
Number of Observations Not Used 0
Type 3 Analysis of Variance
Source DF Sum of Squares Mean Square Expected Mean Square Error Term Error DF F Value Pr > F
site 4 6.706318 1.676580 Var(Residual) + 5 Var(site) MS(Residual) 20 18.77 <.0001
Residual 20 1.786777 0.089339 Var(Residual) . . . .
Covariance Parameter Estimates
Cov Parm Estimate Alpha Lower Upper
site 0.3174 0.05 -0.1474 0.7823
Residual 0.08934 0.05 0.05229 0.1863
Fit Statistics
-2 Res Log Likelihood 25.1
AIC (Smaller is Better) 29.1
AICC (Smaller is Better) 29.7
BIC (Smaller is Better) 28.3

One-way ANOVA for bark beetle sampling study

The Mixed Procedure

Model Information
Data Set WORK.BARK_BEETLE
Dependent Variable y
Covariance Structure Variance Components
Estimation Method REML
Residual Variance Method Profile
Fixed Effects SE Method Kenward-Roger
Degrees of Freedom Method Kenward-Roger
Class Level Information
Class Levels Values
site 5 1 2 3 4 5
Dimensions
Covariance Parameters 2
Columns in X 1
Columns in Z 5
Subjects 1
Max Obs per Subject 25
Number of Observations
Number of Observations Read 25
Number of Observations Used 25
Number of Observations Not Used 0
Iteration History
Iteration Evaluations -2 Res Log Like Criterion
0 1 46.39671929  
1 1 25.08857565 0.00000000
Convergence criteria met.
Covariance Parameter Estimates
Cov Parm Estimate Alpha Lower Upper
site 0.3174 0.05 0.1093 3.1458
Residual 0.08934 0.05 0.05229 0.1863
Fit Statistics
-2 Res Log Likelihood 25.1
AIC (Smaller is Better) 29.1
AICC (Smaller is Better) 29.7
BIC (Smaller is Better) 28.3
One-way ANOVA for bark beetle sampling study; Panel of conditional residuals for y. The panel consists of a scatterplot of the residuals, a histogram with normal density, a Q-Q plot, and summary statistics for the residuals and the model fit. Conditional Residuals for y BIC 28.307 AICC 29.66 AIC 29.089 Objective 25.089 Fit Statistics Std Dev 0.2743 Maximum 0.7385 Mean 27E-17 Minimum -0.365 Observations 25 Residual Statistics -2 -1 0 1 2 Quantile -0.5 0.0 0.5 Residual -0.875 -0.375 0.125 0.625 Residual 0 10 20 30 Percent 1.5 2.0 2.5 Predicted -0.4 0.0 0.4 Residual