Chapter 5 : Mouse feeding example
Test A: N/N85 versus N/R50

The TTEST Procedure

Statistics
Variable diet N Lower CL
Mean
Mean Upper CL
Mean
Lower CL
Std Dev
Std Dev Upper CL
Std Dev
Std Err Minimum Maximum
Lifetime N/N85 57 31.331 32.691 34.051 4.3271 5.1253 6.2874 0.6789 17.9 42.3
Lifetime N/R50 71 40.458 42.297 44.136 6.6674 7.7682 9.3078 0.9219 18.6 51.9
Lifetime Diff (1-2)   -11.97 -9.606 -7.24 5.9856 6.7231 7.6695 1.1957    

T-Tests
Variable Method Variances DF t Value Pr > |t|
Lifetime Pooled Equal 126 -8.03 <.0001
Lifetime Satterthwaite Unequal 122 -8.39 <.0001

Equality of Variances
Variable Method Num DF Den DF F Value Pr > F
Lifetime Folded F 70 56 2.30 0.0015


Chapter 5 : Mouse feeding example
Test B: N/R50 versus R/R50

The TTEST Procedure

Statistics
Variable diet N Lower CL
Mean
Mean Upper CL
Mean
Lower CL
Std Dev
Std Dev Upper CL
Std Dev
Std Err Minimum Maximum
Lifetime N/R50 71 40.458 42.297 44.136 6.6674 7.7682 9.3078 0.9219 18.6 51.9
Lifetime R/R50 56 41.096 42.886 44.675 5.6344 6.6832 8.2153 0.8931 24.2 50.7
Lifetime Diff (1-2)   -3.174 -0.589 1.9973 6.5059 7.3106 8.3445 1.3066    

T-Tests
Variable Method Variances DF t Value Pr > |t|
Lifetime Pooled Equal 125 -0.45 0.6532
Lifetime Satterthwaite Unequal 124 -0.46 0.6474

Equality of Variances
Variable Method Num DF Den DF F Value Pr > F
Lifetime Folded F 70 55 1.35 0.2474


Chapter 5 : Mouse feeding example
Test C: N/R40 versus N/R50

The TTEST Procedure

Statistics
Variable diet N Lower CL
Mean
Mean Upper CL
Mean
Lower CL
Std Dev
Std Dev Upper CL
Std Dev
Std Err Minimum Maximum
Lifetime N/R40 60 43.385 45.117 46.848 5.682 6.7034 8.1759 0.8654 19.6 54.6
Lifetime N/R50 71 40.458 42.297 44.136 6.6674 7.7682 9.3078 0.9219 18.6 51.9
Lifetime Diff (1-2)   0.2865 2.8195 5.3524 6.508 7.3005 8.3145 1.2802    

T-Tests
Variable Method Variances DF t Value Pr > |t|
Lifetime Pooled Equal 129 2.20 0.0294
Lifetime Satterthwaite Unequal 129 2.23 0.0275

Equality of Variances
Variable Method Num DF Den DF F Value Pr > F
Lifetime Folded F 70 59 1.34 0.2456


Chapter 5 : Mouse feeding example
Test D: N/R50 versus lopro

The TTEST Procedure

Statistics
Variable diet N Lower CL
Mean
Mean Upper CL
Mean
Lower CL
Std Dev
Std Dev Upper CL
Std Dev
Std Err Minimum Maximum
Lifetime N/R50 71 40.458 42.297 44.136 6.6674 7.7682 9.3078 0.9219 18.6 51.9
Lifetime lopro 56 37.813 39.686 41.558 5.8945 6.9917 8.5946 0.9343 23.4 49.7
Lifetime Diff (1-2)   -0.019 2.6115 5.2419 6.6179 7.4365 8.4881 1.3291    

T-Tests
Variable Method Variances DF t Value Pr > |t|
Lifetime Pooled Equal 125 1.96 0.0516
Lifetime Satterthwaite Unequal 123 1.99 0.0489

Equality of Variances
Variable Method Num DF Den DF F Value Pr > F
Lifetime Folded F 70 55 1.23 0.4186


Chapter 5 : Mouse feeding example
Test E: N/N85 versus NP

The TTEST Procedure

Statistics
Variable diet N Lower CL
Mean
Mean Upper CL
Mean
Lower CL
Std Dev
Std Dev Upper CL
Std Dev
Std Err Minimum Maximum
Lifetime N/N85 57 31.331 32.691 34.051 4.3271 5.1253 6.2874 0.6789 17.9 42.3
Lifetime NP 49 25.64 27.402 29.164 5.115 6.1337 7.6628 0.8762 6.4 35.5
Lifetime Diff (1-2)   3.1207 5.2892 7.4577 4.9431 5.6133 6.4953 1.0935    

T-Tests
Variable Method Variances DF t Value Pr > |t|
Lifetime Pooled Equal 104 4.84 <.0001
Lifetime Satterthwaite Unequal 93.9 4.77 <.0001

Equality of Variances
Variable Method Num DF Den DF F Value Pr > F
Lifetime Folded F 48 56 1.43 0.1954


Chapter 5 : Mouse feeding example
PROC UNIVARIATE of variable lifetime for mouse feed diets

The UNIVARIATE Procedure
Variable: Lifetime

diet=NP

Moments
N 49 Sum Weights 49
Mean 27.4020408 Sum Observations 1342.7
Std Deviation 6.13370096 Variance 37.6222874
Skewness -1.5498625 Kurtosis 3.04434191
Uncorrected SS 38598.59 Corrected SS 1805.8698
Coeff Variation 22.3841027 Std Error Mean 0.87624299

Basic Statistical Measures
Location Variability
Mean 27.40204 Std Deviation 6.13370
Median 28.90000 Variance 37.62229
Mode 30.20000 Range 29.10000
    Interquartile Range 6.60000

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 31.27219 Pr > |t| <.0001
Sign M 24.5 Pr >= |M| <.0001
Signed Rank S 612.5 Pr >= |S| <.0001

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.874872 Pr < W <0.0001
Kolmogorov-Smirnov D 0.126303 Pr > D 0.0487
Cramer-von Mises W-Sq 0.243101 Pr > W-Sq <0.0050
Anderson-Darling A-Sq 1.582098 Pr > A-Sq <0.0050

Quantiles (Definition 5)
Quantile Estimate
100% Max 35.5
99% 35.5
95% 34.9
90% 33.8
75% Q3 31.4
50% Median 28.9
25% Q1 24.8
10% 20.0
5% 13.8
1% 6.4
0% Min 6.4

Extreme Observations
Lowest Highest
Value Obs Value Obs
6.4 49 33.8 5
9.2 48 34.8 4
13.8 47 34.9 3
18.0 46 35.4 2
20.0 45 35.5 1

   Stem Leaf                     #  Boxplot                        Normal Probability Plot                     
     34 8945                     4     |          35+                                    +++* * *   *          
     32 4658                     4     |            |                                 ++****                   
     30 01224578344568          14  +-----+         |                           ********                       
     28 03936                    5  *-----*         |                        ***+++                            
     26 3568135                  7  |  +  |         |                    ****++                                
     24 0137819                  7  +-----+         |                *****++                                   
     22 1                        1     |            |               * +++                                      
     20 058                      3     |          21+            ***++                                         
     18 0                        1     |            |          +*+                                             
     16                                             |       +++                                                
     14                                             |    +++                                                   
     12 8                        1     0            |++++     *                                                
     10                                             |                                                          
      8 2                        1     0            |       *                                                  
      6 4                        1     0           7+   *                                                      
        ----+----+----+----+                         +----+----+----+----+----+----+----+----+----+----+       
                                                         -2        -1         0        +1        +2            
                                                                                                               


Chapter 5 : Mouse feeding example
PROC UNIVARIATE of variable lifetime for mouse feed diets

The UNIVARIATE Procedure
Variable: Lifetime

diet=N/N85

Moments
N 57 Sum Weights 57
Mean 32.6912281 Sum Observations 1863.4
Std Deviation 5.12529723 Variance 26.2686717
Skewness -1.0960658 Kurtosis 1.41935605
Uncorrected SS 62387.88 Corrected SS 1471.04561
Coeff Variation 15.6778975 Std Error Mean 0.6788622

Basic Statistical Measures
Location Variability
Mean 32.69123 Std Deviation 5.12530
Median 33.10000 Variance 26.26867
Mode 36.50000 Range 24.40000
    Interquartile Range 5.00000

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 48.15591 Pr > |t| <.0001
Sign M 28.5 Pr >= |M| <.0001
Signed Rank S 826.5 Pr >= |S| <.0001

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.914889 Pr < W 0.0007
Kolmogorov-Smirnov D 0.154933 Pr > D <0.0100
Cramer-von Mises W-Sq 0.22146 Pr > W-Sq <0.0050
Anderson-Darling A-Sq 1.511305 Pr > A-Sq <0.0050

Quantiles (Definition 5)
Quantile Estimate
100% Max 42.3
99% 42.3
95% 39.5
90% 38.3
75% Q3 36.4
50% Median 33.1
25% Q1 31.4
10% 24.5
5% 19.8
1% 17.9
0% Min 17.9

Extreme Observations
Lowest Highest
Value Obs Value Obs
17.9 106 38.4 54
19.3 105 38.6 53
19.8 104 39.5 52
21.9 103 40.1 51
22.3 102 42.3 50


Chapter 5 : Mouse feeding example
PROC UNIVARIATE of variable lifetime for mouse feed diets

The UNIVARIATE Procedure
Variable: Lifetime

diet=N/N85

   Stem Leaf                     #  Boxplot                        Normal Probability Plot                     
     42 3                        1     |        42.5+                                            ++  *         
     41                                |            |                                          ++              
     40 1                        1     |            |                                        ++  *             
     39 5                        1     |            |                                      ++  *               
     38 346                      3     |            |                                    ++***                 
     37 3468                     4     |        37.5+                                  +***                    
     36 45558                    5  +-----+         |                                ***                       
     35 33559                    5  |     |         |                             ***                          
     34 4569                     4  |     |         |                           ***                            
     33 0113358                  7  *-----*         |                        ****                              
     32 3459                     4  |  +  |     32.5+                      ***+                                
     31 044556677                9  +-----+         |                  ****++                                  
     30 13                       2     |            |                 *  ++                                    
     29 236                      3     |            |               ** ++                                      
     28 8                        1     |            |              * ++                                        
     27 9                        1     |        27.5+             *++                                          
     26                                |            |            ++                                            
     25                                |            |          ++                                              
     24 5                        1     |            |         +  *                                             
     23                                             |       ++                                                 
     22 3                        1     0        22.5+     ++    *                                              
     21 9                        1     0            |   ++     *                                               
     20                                             | ++                                                       
     19 38                       2     0            |+     * *                                                 
     18                                             |                                                          
     17 9                        1     0        17.5+  *                                                       
        ----+----+----+----+                         +----+----+----+----+----+----+----+----+----+----+       
                                                         -2        -1         0        +1        +2            
                                                                                                               
                                                                                                               


Chapter 5 : Mouse feeding example
PROC UNIVARIATE of variable lifetime for mouse feed diets

The UNIVARIATE Procedure
Variable: Lifetime

diet=lopro

Moments
N 56 Sum Weights 56
Mean 39.6857143 Sum Observations 2222.4
Std Deviation 6.99169452 Variance 48.8837922
Skewness -0.4638217 Kurtosis -0.7288644
Uncorrected SS 90886.14 Corrected SS 2688.60857
Coeff Variation 17.6176608 Std Error Mean 0.93430448

Basic Statistical Measures
Location Variability
Mean 39.68571 Std Deviation 6.99169
Median 41.05000 Variance 48.88379
Mode 47.00000 Range 26.30000
    Interquartile Range 11.60000

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 42.47621 Pr > |t| <.0001
Sign M 28 Pr >= |M| <.0001
Signed Rank S 798 Pr >= |S| <.0001

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.942768 Pr < W 0.0102
Kolmogorov-Smirnov D 0.116519 Pr > D 0.0572
Cramer-von Mises W-Sq 0.149158 Pr > W-Sq 0.0238
Anderson-Darling A-Sq 0.980976 Pr > A-Sq 0.0137

Quantiles (Definition 5)
Quantile Estimate
100% Max 49.70
99% 49.70
95% 48.60
90% 47.70
75% Q3 46.60
50% Median 41.05
25% Q1 35.00
10% 29.90
5% 26.30
1% 23.40
0% Min 23.40

Extreme Observations
Lowest Highest
Value Obs Value Obs
23.4 162 48.0 111
24.7 161 48.3 110
26.3 160 48.6 109
28.0 159 49.3 108
29.2 158 49.7 107

   Stem Leaf                     #  Boxplot                        Normal Probability Plot                     
     48 03637                    5     |          49+                                     ++** * *   *         
     46 3990001257              10  +-----+         |                               ********                   
     44 01599                    5  |     |         |                             ** +++                       
     42 00136                    5  |     |         |                           **+++                          
     40 15699                    5  *-----*         |                        ***++                             
     38 92                       2  |  +  |         |                       **+                                
     36 24734                    5  |     |         |                    +***                                  
     34 78003478                 8  +-----+         |                 *****                                    
     32 85                       2     |            |               +*                                         
     30 685                      3     |            |            +***                                          
     28 029                      3     |            |         +***                                             
     26 3                        1     |            |      ++*                                                 
     24 7                        1     |            |   +++*                                                   
     22 4                        1     |          23+++*                                                       
        ----+----+----+----+                         +----+----+----+----+----+----+----+----+----+----+       
                                                         -2        -1         0        +1        +2            
                                                                                                               
                                                                                                               


Chapter 5 : Mouse feeding example
PROC UNIVARIATE of variable lifetime for mouse feed diets

The UNIVARIATE Procedure
Variable: Lifetime

diet=N/R50

Moments
N 71 Sum Weights 71
Mean 42.2971831 Sum Observations 3003.1
Std Deviation 7.76819471 Variance 60.3448491
Skewness -1.0243467 Kurtosis 0.46237291
Uncorrected SS 131246.81 Corrected SS 4224.13944
Coeff Variation 18.3657495 Std Error Mean 0.9219151

Basic Statistical Measures
Location Variability
Mean 42.29718 Std Deviation 7.76819
Median 43.90000 Variance 60.34485
Mode 49.10000 Range 33.30000
    Interquartile Range 10.60000

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 45.87969 Pr > |t| <.0001
Sign M 35.5 Pr >= |M| <.0001
Signed Rank S 1278 Pr >= |S| <.0001

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.904677 Pr < W <0.0001
Kolmogorov-Smirnov D 0.133442 Pr > D <0.0100
Cramer-von Mises W-Sq 0.336038 Pr > W-Sq <0.0050
Anderson-Darling A-Sq 2.081211 Pr > A-Sq <0.0050

Quantiles (Definition 5)
Quantile Estimate
100% Max 51.9
99% 51.9
95% 51.3
90% 50.2
75% Q3 48.3
50% Median 43.9
25% Q1 37.7
10% 31.1
5% 25.7
1% 18.6
0% Min 18.6

Extreme Observations
Lowest Highest
Value Obs Value Obs
18.6 231 50.9 167
23.5 230 51.3 166
25.1 229 51.4 165
25.7 228 51.7 164
26.8 227 51.9 163

   Stem Leaf                     #  Boxplot                        Normal Probability Plot                     
     50 025593479                9     |          51+                                   ++** ** * *   *        
     48 011371111224            12  +-----+         |                               ******                     
     46 3579235678              10  |     |         |                           ****++                         
     44 4126                     4  |     |         |                         ** ++                            
     42 044567969                9  *--+--*         |                      ****++                              
     40 47935                    5  |     |         |                    ***++                                 
     38 2949                     4  |     |         |                   **++                                   
     36 267                      3  +-----+         |                 **+                                      
     34 3244                     4     |          35+               **                                         
     32 57                       2     |            |            ++**                                          
     30 918                      3     |            |          ++**                                            
     28 8                        1     |            |       +++ *                                              
     26 8                        1     |            |     ++   *                                               
     24 17                       2     |            |  +++  * *                                                
     22 5                        1     |            |++   *                                                    
     20                                             |                                                          
     18 6                        1     0          19+ *                                                        
        ----+----+----+----+                         +----+----+----+----+----+----+----+----+----+----+       
                                                         -2        -1         0        +1        +2            
                                                                                                               


Chapter 5 : Mouse feeding example
PROC UNIVARIATE of variable lifetime for mouse feed diets

The UNIVARIATE Procedure
Variable: Lifetime

diet=R/R50

Moments
N 56 Sum Weights 56
Mean 42.8857143 Sum Observations 2401.6
Std Deviation 6.68315191 Variance 44.6645195
Skewness -0.9508588 Kurtosis 0.39651142
Uncorrected SS 105450.88 Corrected SS 2456.54857
Coeff Variation 15.583632 Std Error Mean 0.89307374

Basic Statistical Measures
Location Variability
Mean 42.88571 Std Deviation 6.68315
Median 43.95000 Variance 44.66452
Mode 46.80000 Range 26.50000
    Interquartile Range 9.30000

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 48.02035 Pr > |t| <.0001
Sign M 28 Pr >= |M| <.0001
Signed Rank S 798 Pr >= |S| <.0001

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.910407 Pr < W 0.0005
Kolmogorov-Smirnov D 0.121151 Pr > D 0.0399
Cramer-von Mises W-Sq 0.185487 Pr > W-Sq 0.0080
Anderson-Darling A-Sq 1.321143 Pr > A-Sq <0.0050

Quantiles (Definition 5)
Quantile Estimate
100% Max 50.70
99% 50.70
95% 50.50
90% 50.10
75% Q3 48.40
50% Median 43.95
25% Q1 39.10
10% 33.40
5% 27.50
1% 24.20
0% Min 24.20

Extreme Observations
Lowest Highest
Value Obs Value Obs
24.2 289 50.1 239
26.3 288 50.3 237
27.5 287 50.5 236
30.6 286 50.6 235
32.2 285 50.7 234

   Stem Leaf                     #  Boxplot                        Normal Probability Plot                     
     50 00113567                 8     |          51+                                    *** * * *   *         
     48 133590678                9  +-----+         |                              ******                      
     46 2288807                  7  |     |         |                           ****++                         
     44 3001                     4  *-----*         |                         ***++                            
     42 0347916                  7  |  +  |         |                      ****+                               
     40 4668                     4  |     |         |                    ***+                                  
     38 0250259                  7  +-----+         |                *****                                     
     36 23                       2     |            |               **+                                        
     34 08                       2     |            |            +**                                           
     32 24                       2     |            |         ++**                                             
     30 6                        1     |            |      +++ *                                               
     28                                |            |   +++                                                    
     26 35                       2     |            |+++   * *                                                 
     24 2                        1     0          25+  *                                                       
        ----+----+----+----+                         +----+----+----+----+----+----+----+----+----+----+       
                                                         -2        -1         0        +1        +2            
                                                                                                               
                                                                                                               


Chapter 5 : Mouse feeding example
PROC UNIVARIATE of variable lifetime for mouse feed diets

The UNIVARIATE Procedure
Variable: Lifetime

diet=N/R40

Moments
N 60 Sum Weights 60
Mean 45.1166667 Sum Observations 2707
Std Deviation 6.70340583 Variance 44.9356497
Skewness -1.2366953 Kurtosis 2.55486132
Uncorrected SS 124782.02 Corrected SS 2651.20333
Coeff Variation 14.8579368 Std Error Mean 0.86540597

Basic Statistical Measures
Location Variability
Mean 45.11667 Std Deviation 6.70341
Median 46.05000 Variance 44.93565
Mode 47.50000 Range 35.00000
    Interquartile Range 8.15000

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


Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 52.13353 Pr > |t| <.0001
Sign M 30 Pr >= |M| <.0001
Signed Rank S 915 Pr >= |S| <.0001

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.916924 Pr < W 0.0006
Kolmogorov-Smirnov D 0.122241 Pr > D 0.0242
Cramer-von Mises W-Sq 0.145859 Pr > W-Sq 0.0261
Anderson-Darling A-Sq 1.01613 Pr > A-Sq 0.0105

Quantiles (Definition 5)
Quantile Estimate
100% Max 54.60
99% 54.60
95% 53.55
90% 52.60
75% Q3 50.40
50% Median 46.05
25% Q1 42.25
10% 36.65
5% 32.45
1% 19.60
0% Min 19.60

Extreme Observations
Lowest Highest
Value Obs Value Obs
19.6 348 52.9 294
29.4 347 53.3 293
31.0 346 53.8 292
33.9 345 54.0 291
36.1 344 54.6 290


Chapter 5 : Mouse feeding example
PROC UNIVARIATE of variable lifetime for mouse feed diets

The UNIVARIATE Procedure
Variable: Lifetime

diet=N/R40

   Stem Leaf                     #  Boxplot                        Normal Probability Plot                     
     54 06                       2     |          55+                                       +++  *   *         
     52 0457938                  7     |            |                                    **** **               
     50 13580338                 8  +-----+         |                               *****                      
     48 1378                     4  |     |         |                             **++                         
     46 455556666                9  *-----*         |                         ****+                            
     44 237                      3  |  +  |         |                        **+                               
     42 22357712366788          14  +-----+         |                 *******                                  
     40 0386                     4     |            |               ***+++                                     
     38 9                        1     |            |              *+++                                        
     36 1672                     4     |          37+           ****                                           
     34                                |            |         +++                                              
     32 9                        1     |            |      +++*                                                
     30 0                        1     |            |   +++  *                                                 
     28 4                        1     0            |+++   *                                                   
     26                                             |                                                          
     24                                             |                                                          
     22                                             |                                                          
     20                                             |                                                          
     18 6                        1     0          19+  *                                                       
        ----+----+----+----+                         +----+----+----+----+----+----+----+----+----+----+       
                                                         -2        -1         0        +1        +2            
                                                                                                               
                                                                                                               


Chapter 5 : Mouse feeding example
PROC UNIVARIATE of variable lifetime for mouse feed diets

The UNIVARIATE Procedure
Variable: Lifetime
 
Schematic Plots

         |                                                                                                     
      55 +                                                                        |                            
         |                                                                        |                            
         |                                                |                       |                            
         |                                                |           |           |                            
      50 +                                    |           |           |        +-----+                         
         |                                    |        +-----+     +-----+     |     |                         
         |                                    |        |     |     |     |     |     |                         
         |                                 +-----+     |     |     |     |     *-----*                         
      45 +                                 |     |     |     |     |     |     |  +  |                         
         |                                 |     |     *-----*     *-----*     |     |                         
         |                        |        |     |     |  +  |     |  +  |     +-----+                         
         |                        |        *-----*     |     |     |     |        |                            
      40 +                        |        |  +  |     |     |     |     |        |                            
         |                        |        |     |     |     |     +-----+        |                            
         |                        |        |     |     +-----+        |           |                            
         |                     +-----+     |     |        |           |           |                            
      35 +            |        |     |     +-----+        |           |           |                            
         |            |        |     |        |           |           |           |                            
         |            |        *--+--*        |           |           |           |                            
         |         +-----+     +-----+        |           |           |           |                            
      30 +         |     |        |           |           |           |           0                            
         |         *-----*        |           |           |           |                                        
         |         |  +  |        |           |           |           |                                        
         |         |     |        |           |           |           |                                        
      25 +         +-----+        |           |           |                                                    
         |            |                       |           |           0                                        
         |            |           0                                                                            
         |            |                                                                                        
      20 +            |           0                                               0                            
         |            |           0                       0                                                    
         |            |           0                                                                            
         |                                                                                                     
      15 +                                                                                                     
         |            0                                                                                        
         |                                                                                                     
         |                                                                                                     
      10 +                                                                                                     
         |            0                                                                                        
         |                                                                                                     
         |            0                                                                                        
       5 +                                                                                                     
          ------------+-----------+-----------+-----------+-----------+-----------+-----------                 
    diet                NP       N/N85       lopro       N/R50       R/R50       N/R40