Results: ClassicalNoise.sas

Noise data

The FREQ Procedure

The FREQ Procedure

Table 1 of age * noise

Cross-Tabular Freq Table

Frequency
Table 1 of age by noise
Controlling for sex=Male
age noise
1 2 3 4 5 Total
1
10
10
10
10
10
50
2
10
10
10
10
10
50
3
10
10
10
10
10
50
Total
30
30
30
30
30
150

Table 2 of age * noise

Cross-Tabular Freq Table

Frequency
Table 2 of age by noise
Controlling for sex=Female
age noise
1 2 3 4 5 Total
1
10
10
10
10
10
50
2
10
10
10
10
10
50
3
10
10
10
10
10
50
Total
30
30
30
30
30
150

Noise data

Classical mixed model repeated measures

The GLM Procedure

The GLM Procedure

Data

Class Levels

Class Level Information
Class Levels Values
ident 60 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
age 3 1 2 3
sex 2 Female Male
noise 5 1 2 3 4 5

Number of Observations

Number of Observations Read 300
Number of Observations Used 300

Noise data

Classical mixed model repeated measures

The GLM Procedure

Dependent Variable: discrim

Analysis of Variance

discrim

Overall ANOVA

Source DF Sum of Squares Mean Square F Value Pr > F
Model 83 13902.14347 167.49570 4.13 <.0001
Error 216 8755.83320 40.53626    
Corrected Total 299 22657.97667      

Fit Statistics

R-Square Coeff Var Root MSE discrim Mean
0.613565 17.90609 6.366810 35.55667

Type I Model ANOVA

Source DF Type I SS Mean Square F Value Pr > F
age 2 1751.814067 875.907033 21.61 <.0001
sex 1 77.419200 77.419200 1.91 0.1684
age*sex 2 121.790600 60.895300 1.50 0.2249
noise 4 2289.314000 572.328500 14.12 <.0001
age*noise 8 334.429600 41.803700 1.03 0.4134
sex*noise 4 142.422800 35.605700 0.88 0.4777
age*sex*noise 8 345.664400 43.208050 1.07 0.3882
ident(age*sex) 54 8839.288800 163.690533 4.04 <.0001

Type III Model ANOVA

Source DF Type III SS Mean Square F Value Pr > F
age 2 1751.814067 875.907033 21.61 <.0001
sex 1 77.419200 77.419200 1.91 0.1684
age*sex 2 121.790600 60.895300 1.50 0.2249
noise 4 2289.314000 572.328500 14.12 <.0001
age*noise 8 334.429600 41.803700 1.03 0.4134
sex*noise 4 142.422800 35.605700 0.88 0.4777
age*sex*noise 8 345.664400 43.208050 1.07 0.3882
ident(age*sex) 54 8839.288800 163.690533 4.04 <.0001

Noise data

Classical mixed model repeated measures

The GLM Procedure

Random Effects Analysis

Model Expected Mean Squares

Source Type III Expected Mean Square
age Var(Error) + 5 Var(ident(age*sex)) + Q(age,age*sex,age*noise,age*sex*noise)
sex Var(Error) + 5 Var(ident(age*sex)) + Q(sex,age*sex,sex*noise,age*sex*noise)
age*sex Var(Error) + 5 Var(ident(age*sex)) + Q(age*sex,age*sex*noise)
noise Var(Error) + Q(noise,age*noise,sex*noise,age*sex*noise)
age*noise Var(Error) + Q(age*noise,age*sex*noise)
sex*noise Var(Error) + Q(sex*noise,age*sex*noise)
age*sex*noise Var(Error) + Q(age*sex*noise)
ident(age*sex) Var(Error) + 5 Var(ident(age*sex))

Noise data

Classical mixed model repeated measures

The GLM Procedure

Tests of Hypotheses for Mixed Model Analysis of Variance

Dependent Variable: discrim

discrim

Type III Model ANOVA

  Source DF Type III SS Mean Square F Value Pr > F
Error: MS(ident(age*sex))
* This test assumes one or more other fixed effects are zero.
* age 2 1751.814067 875.907033 5.35 0.0076
* sex 1 77.419200 77.419200 0.47 0.4946
* age*sex 2 121.790600 60.895300 0.37 0.6911
  Error 54 8839.288800 163.690533    

Type III Model ANOVA

  Source DF Type III SS Mean Square F Value Pr > F
* This test assumes one or more other fixed effects are zero.
* noise 4 2289.314000 572.328500 14.12 <.0001
* age*noise 8 334.429600 41.803700 1.03 0.4134
* sex*noise 4 142.422800 35.605700 0.88 0.4777
  age*sex*noise 8 345.664400 43.208050 1.07 0.3882
  ident(age*sex) 54 8839.288800 163.690533 4.04 <.0001
  Error: MS(Error) 216 8755.833200 40.536265    

Noise data

Classical mixed model repeated measures

Means

noise

discrim

Distribution of discrim by noise

Distribution of discrim by noise

Means

Level of
noise		 N discrim
Mean Std Dev
1 60 39.8216667 7.79326288
2 60 36.8300000 8.84743188
3 60 35.3016667 8.02074623
4 60 34.3850000 8.19035864
5 60 31.4450000 8.64900161

age

discrim

Distribution of discrim by age

Distribution of discrim by age

Means

Level of
age		 N discrim
Mean Std Dev
1 100 38.6610000 9.33913126
2 100 35.2420000 8.02510178
3 100 32.7670000 7.71697663