Chapter 5 : Spock Conspiracy Trial
Proc univariate by judge

The UNIVARIATE Procedure
Variable: Percent

Judge=SPOCK'S

Moments
N 9 Sum Weights 9
Mean 14.6222224 Sum Observations 131.600002
Std Deviation 5.03879411 Variance 25.3894461
Skewness -0.0820192 Kurtosis 0.12839706
Uncorrected SS 2127.40007 Corrected SS 203.115569
Coeff Variation 34.4598377 Std Error Mean 1.67959804

Basic Statistical Measures
Location Variability
Mean 14.62222 Std Deviation 5.03879
Median 15.00000 Variance 25.38945
Mode . Range 16.70000
    Interquartile Range 4.40000

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 8.705787 Pr > |t| <.0001
Sign M 4.5 Pr >= |M| 0.0039
Signed Rank S 22.5 Pr >= |S| 0.0039

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.973977 Pr < W 0.9264
Kolmogorov-Smirnov D 0.174281 Pr > D >0.1500
Cramer-von Mises W-Sq 0.034147 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.205685 Pr > A-Sq >0.2500

Quantiles (Definition 5)
Quantile Estimate
100% Max 23.1
99% 23.1
95% 23.1
90% 23.1
75% Q3 17.7
50% Median 15.0
25% Q1 13.3
10% 6.4
5% 6.4
1% 6.4
0% Min 6.4

Extreme Observations
Lowest Highest
Value Obs Value Obs
6.4 1 15.0 5
8.7 2 15.2 6
13.3 3 17.7 7
13.6 4 18.6 8
15.0 5 23.1 9

   Stem Leaf                     #  Boxplot                        Normal Probability Plot                     
     22 1                        1     |          23+                                        *+++              
     20                                |            |                                    ++++                  
     18 6                        1     |            |                                ++*+                      
     16 7                        1  +-----+         |                            +++*                          
     14 02                       2  *--+--*       15+                        +*++*                             
     12 36                       2  +-----+         |                   *++*+                                  
     10                                |            |                ++++                                      
      8 7                        1     |            |            ++++*                                         
      6 4                        1     0           7+        ++*+                                              
        ----+----+----+----+                         +----+----+----+----+----+----+----+----+----+----+       
                                                         -2        -1         0        +1        +2            
                                                                                                               
                                                                                                               


Chapter 5 : Spock Conspiracy Trial
Proc univariate by judge

The UNIVARIATE Procedure
Variable: Percent

Judge=A

Moments
N 5 Sum Weights 5
Mean 34.1199997 Sum Observations 170.599998
Std Deviation 11.9418181 Variance 142.60702
Skewness -0.4267178 Kurtosis 0.57361116
Uncorrected SS 6391.29997 Corrected SS 570.428078
Coeff Variation 34.9994672 Std Error Mean 5.34054341

Basic Statistical Measures
Location Variability
Mean 34.12000 Std Deviation 11.94182
Median 33.60000 Variance 142.60702
Mode . Range 32.10000
    Interquartile Range 9.70000

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 6.388863 Pr > |t| 0.0031
Sign M 2.5 Pr >= |M| 0.0625
Signed Rank S 7.5 Pr >= |S| 0.0625

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.982698 Pr < W 0.9485
Kolmogorov-Smirnov D 0.190501 Pr > D >0.1500
Cramer-von Mises W-Sq 0.025936 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.177003 Pr > A-Sq >0.2500

Quantiles (Definition 5)
Quantile Estimate
100% Max 48.9
99% 48.9
95% 48.9
90% 48.9
75% Q3 40.5
50% Median 33.6
25% Q1 30.8
10% 16.8
5% 16.8
1% 16.8
0% Min 16.8

Extreme Observations
Lowest Highest
Value Obs Value Obs
16.8 10 16.8 10
30.8 11 30.8 11
33.6 12 33.6 12
40.5 13 40.5 13
48.9 14 48.9 14

   Stem Leaf                     #  Boxplot                        Normal Probability Plot                     
      4 9                        1     |        47.5+                                   ++*+                   
      4 0                        1  +-----+         |                              *++++                       
      3                             |     |         |                          ++++                            
      3 14                       2  *--+--*     32.5+                    * +++*                                
      2                                |            |                  ++++                                    
      2                                |            |              ++++                                        
      1 7                        1     |        17.5+         ++++*                                            
        ----+----+----+----+                         +----+----+----+----+----+----+----+----+----+----+       
    Multiply Stem.Leaf by 10**+1                         -2        -1         0        +1        +2            
                                                                                                               
                                                                                                               


Chapter 5 : Spock Conspiracy Trial
Proc univariate by judge

The UNIVARIATE Procedure
Variable: Percent

Judge=B

Moments
N 6 Sum Weights 6
Mean 33.6166665 Sum Observations 201.699999
Std Deviation 6.58222301 Variance 43.3256598
Skewness 1.39689347 Kurtosis 2.34668706
Uncorrected SS 6997.10989 Corrected SS 216.628299
Coeff Variation 19.5802371 Std Error Mean 2.68718129

Basic Statistical Measures
Location Variability
Mean 33.61667 Std Deviation 6.58222
Median 32.35000 Variance 43.32566
Mode . Range 18.60000
    Interquartile Range 6.60000

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 12.51001 Pr > |t| <.0001
Sign M 3 Pr >= |M| 0.0313
Signed Rank S 10.5 Pr >= |S| 0.0313

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.88853 Pr < W 0.3106
Kolmogorov-Smirnov D 0.222046 Pr > D >0.1500
Cramer-von Mises W-Sq 0.060253 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.377808 Pr > A-Sq >0.2500

Quantiles (Definition 5)
Quantile Estimate
100% Max 45.60
99% 45.60
95% 45.60
90% 45.60
75% Q3 35.50
50% Median 32.35
25% Q1 28.90
10% 27.00
5% 27.00
1% 27.00
0% Min 27.00

Extreme Observations
Lowest Highest
Value Obs Value Obs
27.0 15 28.9 16
28.9 16 32.0 17
32.0 17 32.7 18
32.7 18 35.5 19
35.5 19 45.6 20

   Stem Leaf                     #  Boxplot                        Normal Probability Plot                     
      4 6                        1     0        47.5+                                      *    +++++++        
      4                                             |                                   ++++++++               
      3 6                        1  +-----+     37.5+                            +++*+++                       
      3 23                       2  *--+--*         |                    +++*+++*                              
      2 79                       2  +-----+     27.5+            *++++++*                                      
        ----+----+----+----+                         +----+----+----+----+----+----+----+----+----+----+       
    Multiply Stem.Leaf by 10**+1                         -2        -1         0        +1        +2            
                                                                                                               
                                                                                                               


Chapter 5 : Spock Conspiracy Trial
Proc univariate by judge

The UNIVARIATE Procedure
Variable: Percent

Judge=C

Moments
N 9 Sum Weights 9
Mean 29.0999997 Sum Observations 261.899998
Std Deviation 4.59292918 Variance 21.0949985
Skewness -0.7517198 Kurtosis -0.629853
Uncorrected SS 7790.04985 Corrected SS 168.759988
Coeff Variation 15.7832619 Std Error Mean 1.53097639

Basic Statistical Measures
Location Variability
Mean 29.10000 Std Deviation 4.59293
Median 30.50000 Variance 21.09500
Mode 27.50000 Range 12.80000
    Interquartile Range 5.00000

The mode displayed is the smallest of 2 modes with a count of 2.


Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 19.00748 Pr > |t| <.0001
Sign M 4.5 Pr >= |M| 0.0039
Signed Rank S 22.5 Pr >= |S| 0.0039

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.898927 Pr < W 0.2458
Kolmogorov-Smirnov D 0.175303 Pr > D >0.1500
Cramer-von Mises W-Sq 0.061333 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.389337 Pr > A-Sq >0.2500

Quantiles (Definition 5)
Quantile Estimate
100% Max 33.8
99% 33.8
95% 33.8
90% 33.8
75% Q3 32.5
50% Median 30.5
25% Q1 27.5
10% 21.0
5% 21.0
1% 21.0
0% Min 21.0

Extreme Observations
Lowest Highest
Value Obs Value Obs
21.0 21 30.5 25
23.4 22 31.9 26
27.5 24 32.5 27
27.5 23 33.8 28
30.5 25 33.8 29

   Stem Leaf                     #  Boxplot                        Normal Probability Plot                     
     32 588                      3  +-----+       33+                               *++*+                      
     30 59                       2  *-----*         |                         * +*+++                          
     28                             |  +  |         |                       ++++                               
     26 55                       2  +-----+       27+                   *++*                                   
     24                                |            |              +++++                                       
     22 4                        1     |            |          ++++  *                                         
     20 0                        1     |          21+      ++++*                                               
        ----+----+----+----+                         +----+----+----+----+----+----+----+----+----+----+       
                                                         -2        -1         0        +1        +2            
                                                                                                               
                                                                                                               


Chapter 5 : Spock Conspiracy Trial
Proc univariate by judge

The UNIVARIATE Procedure
Variable: Percent

Judge=D

Moments
N 2 Sum Weights 2
Mean 27 Sum Observations 54
Std Deviation 3.8183777 Variance 14.5800082
Skewness . Kurtosis .
Uncorrected SS 1472.58001 Corrected SS 14.5800082
Coeff Variation 14.1421396 Std Error Mean 2.70000076

Basic Statistical Measures
Location Variability
Mean 27.00000 Std Deviation 3.81838
Median 27.00000 Variance 14.58001
Mode . Range 5.40000
    Interquartile Range 5.40000

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 9.999997 Pr > |t| 0.0635
Sign M 1 Pr >= |M| 0.5000
Signed Rank S 1.5 Pr >= |S| 0.5000

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 1 Pr < W 1.0000
Kolmogorov-Smirnov D 0.26025 Pr > D >0.1500
Cramer-von Mises W-Sq 0.041877 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.250482 Pr > A-Sq 0.2332

Quantiles (Definition 5)
Quantile Estimate
100% Max 29.7
99% 29.7
95% 29.7
90% 29.7
75% Q3 29.7
50% Median 27.0
25% Q1 24.3
10% 24.3
5% 24.3
1% 24.3
0% Min 24.3

Extreme Observations
Lowest Highest
Value Obs Value Obs
24.3 30 24.3 30
29.7 31 29.7 31

   Stem Leaf                     #  Boxplot                        Normal Probability Plot                     
     29 7                        1  +-----+     29.5+                               *+                         
     28                             |     |         |                            +++                           
     27                             *--+--*         |                         +++                              
     26                             |     |         |                       ++                                 
     25                             |     |         |                    +++                                   
     24 3                        1  +-----+     24.5+                  +*                                      
        ----+----+----+----+                         +----+----+----+----+----+----+----+----+----+----+       
                                                         -2        -1         0        +1        +2            
                                                                                                               
                                                                                                               


Chapter 5 : Spock Conspiracy Trial
Proc univariate by judge

The UNIVARIATE Procedure
Variable: Percent

Judge=E

Moments
N 6 Sum Weights 6
Mean 26.9666669 Sum Observations 161.800001
Std Deviation 9.01014224 Variance 81.1826631
Skewness 0.59719354 Kurtosis -1.41859
Uncorrected SS 4769.12004 Corrected SS 405.913316
Coeff Variation 33.4121465 Std Error Mean 3.67837516

Basic Statistical Measures
Location Variability
Mean 26.96667 Std Deviation 9.01014
Median 24.70000 Variance 81.18266
Mode . Range 22.50000
    Interquartile Range 15.10000

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 7.331136 Pr > |t| 0.0007
Sign M 3 Pr >= |M| 0.0313
Signed Rank S 10.5 Pr >= |S| 0.0313

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.914849 Pr < W 0.4691
Kolmogorov-Smirnov D 0.227983 Pr > D >0.1500
Cramer-von Mises W-Sq 0.046362 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.291448 Pr > A-Sq >0.2500

Quantiles (Definition 5)
Quantile Estimate
100% Max 40.2
99% 40.2
95% 40.2
90% 40.2
75% Q3 34.8
50% Median 24.7
25% Q1 19.7
10% 17.7
5% 17.7
1% 17.7
0% Min 17.7

Extreme Observations
Lowest Highest
Value Obs Value Obs
17.7 32 19.7 33
19.7 33 21.5 34
21.5 34 27.9 35
27.9 35 34.8 36
34.8 36 40.2 37

   Stem Leaf                     #  Boxplot                        Normal Probability Plot                     
      4 0                        1     |        42.5+                                      * ++++++            
      3 5                        1  +-----+         |                                  ++++++                  
      3                             |     |         |                             ++*++                        
      2 8                        1  *--+--*         |                       ++++*+                             
      2 02                       2  +-----+         |                  +++++*                                  
      1 8                        1     |        17.5+            *+++++ *                                      
        ----+----+----+----+                         +----+----+----+----+----+----+----+----+----+----+       
    Multiply Stem.Leaf by 10**+1                         -2        -1         0        +1        +2            
                                                                                                               
                                                                                                               


Chapter 5 : Spock Conspiracy Trial
Proc univariate by judge

The UNIVARIATE Procedure
Variable: Percent

Judge=F

Moments
N 9 Sum Weights 9
Mean 26.8000001 Sum Observations 241.200001
Std Deviation 5.96887758 Variance 35.6274996
Skewness -0.2613312 Kurtosis -0.0604783
Uncorrected SS 6749.18004 Corrected SS 285.019997
Coeff Variation 22.2719312 Std Error Mean 1.98962586

Basic Statistical Measures
Location Variability
Mean 26.80000 Std Deviation 5.96888
Median 26.70000 Variance 35.62750
Mode . Range 19.70000
    Interquartile Range 6.30000

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 13.46987 Pr > |t| <.0001
Sign M 4.5 Pr >= |M| 0.0039
Signed Rank S 22.5 Pr >= |S| 0.0039

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.986941 Pr < W 0.9904
Kolmogorov-Smirnov D 0.139952 Pr > D >0.1500
Cramer-von Mises W-Sq 0.022732 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.146255 Pr > A-Sq >0.2500

Quantiles (Definition 5)
Quantile Estimate
100% Max 36.2
99% 36.2
95% 36.2
90% 36.2
75% Q3 29.8
50% Median 26.7
25% Q1 23.5
10% 16.5
5% 16.5
1% 16.5
0% Min 16.5

Extreme Observations
Lowest Highest
Value Obs Value Obs
16.5 38 26.7 42
20.7 39 29.5 43
23.5 40 29.8 44
26.4 41 31.9 45
26.7 42 36.2 46

   Stem Leaf                     #  Boxplot                        Normal Probability Plot                     
      3 6                        1     |        37.5+                                       +*+++++++          
      3 002                      3  +-----+         |                               +++*++++                   
      2 67                       2  *--+--*     27.5+                      *++*++*++*                          
      2 14                       2  +-----+         |              ++*++*++                                    
      1 6                        1     |        17.5+      ++++*+++                                            
        ----+----+----+----+                         +----+----+----+----+----+----+----+----+----+----+       
    Multiply Stem.Leaf by 10**+1                         -2        -1         0        +1        +2            
                                                                                                               
                                                                                                               


Chapter 5 : Spock Conspiracy Trial
Proc univariate by judge

The UNIVARIATE Procedure
Variable: Percent
 
Schematic Plots

         |                                                                                                     
      50 +                                                                                                     
         |                        |                                                                            
         |                        |                                                                            
         |                        |                                                                            
      45 +                        |           0                                                                
         |                        |                                                                            
         |                        |                                                                            
         |                        |                                                                            
      40 +                     +-----+                                            |                            
         |                     |     |                                            |                            
         |                     |     |                                            |                            
         |                     |     |                                            |           |                
      35 +                     |     |     +-----+                             +-----+        |                
         |                     *--+--*     |  +  |        |                    |     |        |                
         |                     |     |     *-----*     +-----+                 |     |        |                
         |                     +-----+     |     |     |     |                 |     |        |                
      30 +                        |        |     |     *-----*     +-----+     |     |     +-----+             
         |                        |        +-----+     |  +  |     |     |     |     |     |     |             
         |                        |           |        +-----+     *--+--*     |  +  |     |     |             
         |                        |                       |        |     |     |     |     *--+--*             
      25 +                        |                       |        |     |     *-----*     |     |             
         |                        |                       |        +-----+     |     |     +-----+             
         |            |           |                       |                    |     |        |                
         |            |           |                       |                    |     |        |                
      20 +            |           |                                            +-----+        |                
         |            |           |                                               |           |                
         |         +-----+        |                                               |           |                
         |         |     |        |                                                           |                
      15 +         *--+--*                                                                                     
         |         +-----+                                                                                     
         |            |                                                                                        
         |            |                                                                                        
      10 +            |                                                                                        
         |            |                                                                                        
         |                                                                                                     
         |            0                                                                                        
       5 +                                                                                                     
          ------------+-----------+-----------+-----------+-----------+-----------+-----------+-----------     
   Judge           SPOCK'S           A           B           C           D           E           F             


Chapter 5 : Spock Conspiracy Trial
Raw data listing

Obs Percent Judge
1 16.8000 A
2 30.8000 A
3 33.6000 A
4 40.5000 A
5 48.9000 A
6 27.0000 B
7 28.9000 B
8 32.0000 B
9 32.7000 B
10 35.5000 B
11 45.6000 B
12 21.0000 C
13 23.4000 C
14 27.5000 C
15 27.5000 C
16 30.5000 C
17 31.9000 C
18 32.5000 C
19 33.8000 C
20 33.8000 C
21 24.3000 D
22 29.7000 D
23 17.7000 E
24 19.7000 E
25 21.5000 E
26 27.9000 E
27 34.8000 E
28 40.2000 E
29 16.5000 F
30 20.7000 F
31 23.5000 F
32 26.4000 F
33 26.7000 F
34 29.5000 F
35 29.8000 F
36 31.9000 F
37 36.2000 F
38 6.4000 SPOCK'S
39 8.7000 SPOCK'S
40 13.3000 SPOCK'S
41 13.6000 SPOCK'S
42 15.0000 SPOCK'S
43 15.2000 SPOCK'S
44 17.7000 SPOCK'S
45 18.6000 SPOCK'S
46 23.1000 SPOCK'S


Chapter 5 : Spock Conspiracy Trial
Proc univariate for all data combined

The UNIVARIATE Procedure
Variable: Percent

Moments
N 46 Sum Weights 46
Mean 26.5826087 Sum Observations 1222.8
Std Deviation 9.17911401 Variance 84.2561339
Skewness 0.03841528 Kurtosis -0.03463
Uncorrected SS 36296.7399 Corrected SS 3791.52603
Coeff Variation 34.5305238 Std Error Mean 1.35338652

Basic Statistical Measures
Location Variability
Mean 26.58261 Std Deviation 9.17911
Median 27.50000 Variance 84.25613
Mode 17.70000 Range 42.50000
    Interquartile Range 12.80000

The mode displayed is the smallest of 4 modes with a count of 2.


Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 19.64155 Pr > |t| <.0001
Sign M 23 Pr >= |M| <.0001
Signed Rank S 540.5 Pr >= |S| <.0001

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.987632 Pr < W 0.9013
Kolmogorov-Smirnov D 0.07902 Pr > D >0.1500
Cramer-von Mises W-Sq 0.042645 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.254957 Pr > A-Sq >0.2500

Quantiles (Definition 5)
Quantile Estimate
100% Max 48.9
99% 48.9
95% 40.5
90% 36.2
75% Q3 32.5
50% Median 27.5
25% Q1 19.7
10% 15.0
5% 13.3
1% 6.4
0% Min 6.4

Extreme Observations
Lowest Highest
Value Obs Value Obs
6.4 38 36.2 37
8.7 39 40.2 28
13.3 40 40.5 4
13.6 41 45.6 11
15.0 42 48.9 5

   Stem Leaf                     #  Boxplot                        Normal Probability Plot                                          
     48 9                        1     |          49+                                               * ++                            
     46                                |            |                                               ++                              
     44 6                        1     |            |                                           *+++                                
     42                                |            |                                          ++                                   
     40 25                       2     |            |                                       *+*                                     
     38                                |            |                                      ++                                       
     36 2                        1     |            |                                    ++*                                        
     34 85                       2     |          35+                                  ++**                                         
     32 057688                   6  +-----+         |                               ****                                            
     30 5899                     4  |     |         |                             **                                                
     28 9578                     4  |     |         |                          ***                                                  
     26 470559                   6  *--+--*         |                       ****                                                    
     24 3                        1  |     |         |                       *+                                                      
     22 145                      3  |     |         |                     **                                                        
     20 705                      3  |     |       21+                  +**                                                          
     18 67                       2  +-----+         |                ++*                                                            
     16 5877                     4     |            |              ***                                                              
     14 02                       2     |            |            **                                                                 
     12 36                       2     |            |         *+*                                                                   
     10                                |            |       +++                                                                     
      8 7                        1     |            |     ++*                                                                       
      6 4                        1     |           7+   *+                                                                          
        ----+----+----+----+                         +----+----+----+----+----+----+----+----+----+----+                            
                                                         -2        -1         0        +1        +2                                 
                                                                                                                                    
                                                                                                                                    


Chapter 5 : Spock Conspiracy Trial
Analysis among judges
Analysis of variance with PROC GLM

The GLM Procedure

Class Level Information
Class Levels Values
Judge 7 A B C D E F SPOCK'S

Number of Observations Read 46
Number of Observations Used 46


Chapter 5 : Spock Conspiracy Trial
Analysis among judges
Analysis of variance with PROC GLM

The GLM Procedure
 
Dependent Variable: Percent

Source DF Sum of Squares Mean Square F Value Pr > F
Model 6 1927.080772 321.180129 6.72 <.0001
Error 39 1864.445255 47.806289    
Corrected Total 45 3791.526027      

R-Square Coeff Var Root MSE Percent Mean
0.508260 26.01027 6.914209 26.58261

Source DF Type I SS Mean Square F Value Pr > F
Judge 6 1927.080772 321.180129 6.72 <.0001

Source DF Type III SS Mean Square F Value Pr > F
Judge 6 1927.080772 321.180129 6.72 <.0001


Chapter 5 : Spock Conspiracy Trial
Analysis among judges
Analysis of variance with PROC GLM
Listing of PROC GLM residuals

Obs Percent Judge e yhat
1 16.8000 A -17.3200 34.1200
2 30.8000 A -3.3200 34.1200
3 33.6000 A -0.5200 34.1200
4 40.5000 A 6.3800 34.1200
5 48.9000 A 14.7800 34.1200
6 27.0000 B -6.6167 33.6167
7 28.9000 B -4.7167 33.6167
8 32.0000 B -1.6167 33.6167
9 32.7000 B -0.9167 33.6167
10 35.5000 B 1.8833 33.6167
11 45.6000 B 11.9833 33.6167
12 21.0000 C -8.1000 29.1000
13 23.4000 C -5.7000 29.1000
14 27.5000 C -1.6000 29.1000
15 27.5000 C -1.6000 29.1000
16 30.5000 C 1.4000 29.1000
17 31.9000 C 2.8000 29.1000
18 32.5000 C 3.4000 29.1000
19 33.8000 C 4.7000 29.1000
20 33.8000 C 4.7000 29.1000
21 24.3000 D -2.7000 27.0000
22 29.7000 D 2.7000 27.0000
23 17.7000 E -9.2667 26.9667
24 19.7000 E -7.2667 26.9667
25 21.5000 E -5.4667 26.9667
26 27.9000 E 0.9333 26.9667
27 34.8000 E 7.8333 26.9667
28 40.2000 E 13.2333 26.9667
29 16.5000 F -10.3000 26.8000
30 20.7000 F -6.1000 26.8000
31 23.5000 F -3.3000 26.8000
32 26.4000 F -0.4000 26.8000
33 26.7000 F -0.1000 26.8000
34 29.5000 F 2.7000 26.8000
35 29.8000 F 3.0000 26.8000
36 31.9000 F 5.1000 26.8000
37 36.2000 F 9.4000 26.8000
38 6.4000 SPOCK'S -8.2222 14.6222
39 8.7000 SPOCK'S -5.9222 14.6222
40 13.3000 SPOCK'S -1.3222 14.6222
41 13.6000 SPOCK'S -1.0222 14.6222
42 15.0000 SPOCK'S 0.3778 14.6222
43 15.2000 SPOCK'S 0.5778 14.6222
44 17.7000 SPOCK'S 3.0778 14.6222
45 18.6000 SPOCK'S 3.9778 14.6222
46 23.1000 SPOCK'S 8.4778 14.6222


Chapter 5 : Spock Conspiracy Trial
Analysis among judges
Analysis of variance with PROC MIXED

The Mixed Procedure

Model Information
Data Set WORK.JURY
Dependent Variable Percent
Covariance Structure Diagonal
Estimation Method REML
Residual Variance Method Profile
Fixed Effects SE Method Model-Based
Degrees of Freedom Method Residual

Class Level Information
Class Levels Values
Judge 7 A B C D E F SPOCK'S

Dimensions
Covariance Parameters 1
Columns in X 8
Columns in Z 0
Subjects 1
Max Obs Per Subject 46

Number of Observations
Number of Observations Read 46
Number of Observations Used 46
Number of Observations Not Used 0

Covariance Parameter Estimates
Cov Parm Estimate
Residual 47.8063

Fit Statistics
-2 Res Log Likelihood 274.0
AIC (smaller is better) 276.0
AICC (smaller is better) 276.1
BIC (smaller is better) 277.6

Type 3 Tests of Fixed Effects
Effect Num DF Den DF F Value Pr > F
Judge 6 39 6.72 <.0001


Chapter 5 : Spock Conspiracy Trial
Analysis among judges
Analysis of variance with PROC MIXED
Proc univariate check of the residuals from ANOVA

The UNIVARIATE Procedure
Variable: Resid (Residual)

Moments
N 46 Sum Weights 46
Mean 0 Sum Observations 0
Std Deviation 6.43677845 Variance 41.4321168
Skewness 0.01530119 Kurtosis 0.44839315
Uncorrected SS 1864.44525 Corrected SS 1864.44525
Coeff Variation . Std Error Mean 0.94905121

Basic Statistical Measures
Location Variability
Mean 0.00000 Std Deviation 6.43678
Median -0.25000 Variance 41.43212
Mode -1.60000 Range 32.10000
    Interquartile Range 8.11667

The mode displayed is the smallest of 2 modes with a count of 2.


Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 0 Pr > |t| 1.0000
Sign M -1 Pr >= |M| 0.8830
Signed Rank S -7 Pr >= |S| 0.9400

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.988172 Pr < W 0.9167
Kolmogorov-Smirnov D 0.074758 Pr > D >0.1500
Cramer-von Mises W-Sq 0.029352 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.207188 Pr > A-Sq >0.2500

Quantiles (Definition 5)
Quantile Estimate
100% Max 14.78000
99% 14.78000
95% 11.98333
90% 8.47778
75% Q3 3.40000
50% Median -0.25000
25% Q1 -4.71667
10% -8.10000
5% -9.26667
1% -17.32000
0% Min -17.32000

Extreme Observations
Lowest Highest
Value Obs Value Obs
-17.32000 1 8.47778 46
-10.30000 29 9.40000 37
-9.26667 23 11.98333 11