TIMSS Regression Diagnostics
Weighted
2003 science difference ON IAT

The UNIVARIATE Procedure
Variable: resid (Studentized Residual without Current Obs)

Moments
N 34 Sum Weights 34
Mean -0.032913 Sum Observations -1.1190419
Std Deviation 1.05472776 Variance 1.11245065
Skewness 0.38010249 Kurtosis 0.78651178
Uncorrected SS 36.7477024 Corrected SS 36.7108714
Coeff Variation -3204.5934 Std Error Mean 0.18088432

Basic Statistical Measures
Location Variability
Mean -0.03291 Std Deviation 1.05473
Median -0.04062 Variance 1.11245
Mode . Range 5.24066
    Interquartile Range 1.28254

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t -0.18196 Pr > |t| 0.8567
Sign M 0 Pr >= |M| 1.0000
Signed Rank S -19.5 Pr >= |S| 0.7442

Quantiles (Definition 5)
Quantile Estimate
100% Max 2.868216
99% 2.868216
95% 1.684515
90% 1.373914
75% Q3 0.530992
50% Median -0.040618
25% Q1 -0.751548
10% -1.202674
5% -1.769532
1% -2.372449
0% Min -2.372449

Extreme Observations
Lowest Highest
Value Obs Value Obs
-2.37245 1 1.24763 30
-1.76953 2 1.37391 31
-1.33514 3 1.40290 32
-1.20267 4 1.68451 33
-1.06348 5 2.86822 34



TIMSS Regression Diagnostics
Weighted
2003 science difference ON IAT

The UNIVARIATE Procedure
Variable: resid (Studentized Residual without Current Obs)

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
       2 9                        1                0                   2.75+                                              *   + 
       2                                                                   |                                             +++++  
       1 7                        1                |                       |                                        ++*++       
       1 244                      3                |                       |                                   +**+*            
       0 55789                    5             +-----+                    |                               *****                
       0 0001344                  7             |     |                0.25+                         ******                     
      -0 3321                     4             *--+--*                    |                     +****                          
      -0 98887665                 8             +-----+                    |               *******                              
      -1 321                      3                |                       |           *+**+                                    
      -1 8                        1                |                       |       +*+++                                        
      -2 4                        1                |                  -2.25+  ++*++                                             
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
                                                                                -2        -1         0        +1        +2      
                                                                                                                                
                                                                                                                                



TIMSS Regression Diagnostics
Weighted
2003 science difference ON IAT

Obs resid iat_mean iat_n BGsciDIFF03 countrycitzn
1 -2.37245 0.25671 37 -27 JO
2 -1.76953 0.41825 104 -3 CY
3 -1.33514 0.48889 106 6 LT
4 -1.20267 0.44178 425 1 TW
5 -1.06348 0.46123 58 4 LV
6 -0.86849 0.51348 489 9 RO
7 -0.82568 0.29086 47 -9 MK
8 -0.79820 0.64834 17 24 TN
9 -0.75155 0.28221 15 -9 MD
10 -0.65528 0.44593 5649 7 SE
11 -0.64611 0.36389 152 -1 IR
12 -0.59574 0.30604 541 -6 PH
13 -0.48727 0.39061 849 2 ZA
14 -0.33484 0.37852 822 3 SG
15 -0.31201 0.44558 457 9 HK
16 -0.24512 0.50838 3110 15 NL
17 -0.09949 0.39784 55 7 SI
18 0.01826 0.42329 1349 10 NZ
19 0.03556 0.43354 317 11 RU
20 0.03976 0.39817 1502 8 NO
21 0.08756 0.49977 69 17 SK
22 0.31496 0.39549 1164 10 IT
23 0.36252 0.42425 1449 12 KR
24 0.44932 0.39527 15471 11 UK
25 0.53022 0.36694 322 10 MY
26 0.53099 0.36790 2476 9 JP
27 0.65256 0.42598 210 17 BG
28 0.75473 0.35176 152 11 ID
29 0.89040 0.44371 924 19 IL
30 1.24763 0.50682 2559 26 HU
31 1.37391 0.40781 8194 20 AU
32 1.40290 0.45299 1286 23 BE
33 1.68451 0.37570 248306 17 US
34 2.86822 0.38852 163 29 CL



TIMSS Regression Diagnostics
Weighted
2003 science difference ON IAT

The UNIVARIATE Procedure
Variable: lever (Leverage)

Moments
N 34 Sum Weights 34
Mean 0.05882353 Sum Observations 2
Std Deviation 0.06501955 Variance 0.00422754
Skewness 4.78100363 Kurtosis 25.5019279
Uncorrected SS 0.25715595 Corrected SS 0.13950889
Coeff Variation 110.53324 Std Error Mean 0.01115076

Basic Statistical Measures
Location Variability
Mean 0.058824 Std Deviation 0.06502
Median 0.041395 Variance 0.00423
Mode . Range 0.38560
    Interquartile Range 0.02716

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 5.275293 Pr > |t| <.0001
Sign M 17 Pr >= |M| <.0001
Signed Rank S 297.5 Pr >= |S| <.0001

Quantiles (Definition 5)
Quantile Estimate
100% Max 0.4036205
99% 0.4036205
95% 0.1073108
90% 0.0916423
75% Q3 0.0598097
50% Median 0.0413947
25% Q1 0.0326474
10% 0.0255753
5% 0.0215699
1% 0.0180218
0% Min 0.0180218

Extreme Observations
Lowest Highest
Value Obs Value Obs
0.0180218 1 0.0813233 30
0.0215699 2 0.0916423 31
0.0222327 3 0.1012658 32
0.0255753 4 0.1073108 33
0.0283480 5 0.4036205 34



TIMSS Regression Diagnostics
Weighted
2003 science difference ON IAT

The UNIVARIATE Procedure
Variable: lever (Leverage)

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
       4 0                        1                *                  0.425+                                              *     
       3                                                                   |                                                    
       3                                                                   |                                                    
       2                                                                   |                                                    
       2                                                              0.225+                                               ++++ 
       1                                                                   |                                        +++++++     
       1 01                       2                0                       |                                +++++++*  *         
       0 555666677889            12             +--+--+                    |                        ++++**********              
       0 2223333333444444444     19             *-----*               0.025+    *   *  * ****************                       
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
     Multiply Stem.Leaf by 10**-1                                               -2        -1         0        +1        +2      
                                                                                                                                
                                                                                                                                



TIMSS Regression Diagnostics
Weighted
2003 science difference ON IAT

Obs lever iat_mean iat_n BGsciDIFF03 countrycitzn
1 0.01802 0.42598 210 17 BG
2 0.02157 0.42329 1349 10 NZ
3 0.02223 0.39061 849 2 ZA
4 0.02558 0.43354 317 11 RU
5 0.02835 0.44178 425 1 TW
6 0.02871 0.40781 8194 20 AU
7 0.03054 0.44558 457 9 HK
8 0.03087 0.44371 924 19 IL
9 0.03265 0.37852 822 3 SG
10 0.03299 0.38852 163 29 CL
11 0.03568 0.46123 58 4 LV
12 0.03643 0.39549 1164 10 IT
13 0.03733 0.39527 15471 11 UK
14 0.03751 0.36694 322 10 MY
15 0.03757 0.41825 104 -3 CY
16 0.03889 0.45299 1286 23 BE
17 0.04001 0.36389 152 -1 IR
18 0.04278 0.44593 5649 7 SE
19 0.04303 0.35176 152 11 ID
20 0.04554 0.39784 55 7 SI
21 0.04625 0.39817 1502 8 NO
22 0.05309 0.49977 69 17 SK
23 0.05524 0.51348 489 9 RO
24 0.05854 0.37570 248306 17 US
25 0.05899 0.42425 1449 12 KR
26 0.05981 0.36790 2476 9 JP
27 0.06818 0.30604 541 -6 PH
28 0.07140 0.48889 106 6 LT
29 0.07704 0.50838 3110 15 NL
30 0.08132 0.50682 2559 26 HU
31 0.09164 0.29086 47 -9 MK
32 0.10127 0.28221 15 -9 MD
33 0.10731 0.25671 37 -27 JO
34 0.40362 0.64834 17 24 TN



TIMSS Regression Diagnostics
Weighted
2003 science difference ON IAT

The UNIVARIATE Procedure
Variable: cookd (Cook's D Influence Statistic)

Moments
N 34 Sum Weights 34
Mean 0.03517653 Sum Observations 1.19600197
Std Deviation 0.06323404 Variance 0.00399854
Skewness 3.03746011 Kurtosis 9.85255885
Uncorrected SS 0.17402313 Corrected SS 0.13195193
Coeff Variation 179.762013 Std Error Mean 0.01084455

Basic Statistical Measures
Location Variability
Mean 0.035177 Std Deviation 0.06323
Median 0.011239 Variance 0.00400
Mode . Range 0.29555
    Interquartile Range 0.03215

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 3.243706 Pr > |t| 0.0027
Sign M 17 Pr >= |M| <.0001
Signed Rank S 297.5 Pr >= |S| <.0001

Quantiles (Definition 5)
Quantile Estimate
100% Max 2.95554E-01
99% 2.95554E-01
95% 2.18072E-01
90% 8.34241E-02
75% Q3 3.47357E-02
50% Median 1.12394E-02
25% Q1 2.58368E-03
10% 2.21804E-04
5% 1.71306E-05
1% 3.79206E-06
0% Min 3.79206E-06

Extreme Observations
Lowest Highest
Value Obs Value Obs
3.79206E-06 1 0.0677183 30
1.71306E-05 2 0.0834241 31
3.95592E-05 3 0.1144700 32
2.21804E-04 4 0.2180716 33
2.43695E-04 5 0.2955543 34



TIMSS Regression Diagnostics
Weighted
2003 science difference ON IAT

The UNIVARIATE Procedure
Variable: cookd (Cook's D Influence Statistic)

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
      28 6                        1                *                   0.29+                                              *     
      26                                                                   |                                                    
      24                                                                   |                                                    
      22                                                                   |                                                    
      20 8                        1                *                       |                                          *         
      18                                                                   |                                                +++ 
      16                                                                   |                                             +++    
      14                                                               0.15+                                          +++       
      12                                                                   |                                       +++          
      10 4                        1                0                       |                                    +++*            
       8 3                        1                0                       |                                 +++ *              
       6 78                       2                |                       |                             ++++  **               
       4 7                        1                |                       |                          +++     *                 
       2 1127259                  7             +--+--+                    |                       +++  ******                  
       0 00000222334446990333    20             *-----*                0.01+    *   *  * ***************                        
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
     Multiply Stem.Leaf by 10**-2                                               -2        -1         0        +1        +2      
                                                                                                                                
                                                                                                                                



TIMSS Regression Diagnostics
Weighted
2003 science difference ON IAT

Obs cookd iat_mean iat_n BGsciDIFF03 countrycitzn
1 0.00000 0.42329 1349 10 NZ
2 0.00002 0.43354 317 11 RU
3 0.00004 0.39817 1502 8 NO
4 0.00022 0.49977 69 17 SK
5 0.00024 0.39784 55 7 SI
6 0.00158 0.44558 457 9 HK
7 0.00193 0.39549 1164 10 IT
8 0.00195 0.37852 822 3 SG
9 0.00258 0.50838 3110 15 NL
10 0.00277 0.39061 849 2 ZA
11 0.00398 0.42598 210 17 BG
12 0.00401 0.39527 15471 11 UK
13 0.00423 0.42425 1449 12 KR
14 0.00560 0.36694 322 10 MY
15 0.00886 0.36389 152 -1 IR
16 0.00917 0.36790 2476 9 JP
17 0.00977 0.44593 5649 7 SE
18 0.01271 0.44371 924 19 IL
19 0.01298 0.35176 152 11 ID
20 0.01325 0.30604 541 -6 PH
21 0.02081 0.44178 425 1 TW
22 0.02084 0.46123 58 4 LV
23 0.02222 0.51348 489 9 RO
24 0.02714 0.40781 8194 20 AU
25 0.03226 0.28221 15 -9 MD
26 0.03474 0.29086 47 -9 MK
27 0.03865 0.45299 1286 23 BE
28 0.05730 0.41825 104 -3 CY
29 0.06690 0.48889 106 6 LT
30 0.06772 0.50682 2559 26 HU
31 0.08342 0.37570 248306 17 US
32 0.11447 0.38852 163 29 CL
33 0.21807 0.64834 17 24 TN
34 0.29555 0.25671 37 -27 JO



TIMSS Regression Diagnostics
Weighted
2003 science difference ON IAT

The UNIVARIATE Procedure
Variable: dffit (Standard Influence on Predicted Value)

Moments
N 34 Sum Weights 34
Mean -0.037773 Sum Observations -1.2842815
Std Deviation 0.27511418 Variance 0.07568781
Skewness -0.6116636 Kurtosis 1.47969038
Uncorrected SS 2.54620886 Corrected SS 2.49769772
Coeff Variation -728.33581 Std Error Mean 0.04718169

Basic Statistical Measures
Location Variability
Mean -0.03777 Std Deviation 0.27511
Median -0.00951 Variance 0.07569
Mode . Range 1.35232
    Interquartile Range 0.30925

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t -0.80059 Pr > |t| 0.4291
Sign M 0 Pr >= |M| 1.0000
Signed Rank S -33.5 Pr >= |S| 0.5746

Quantiles (Definition 5)
Quantile Estimate
100% Max 0.52975673
99% 0.52975673
95% 0.42003510
90% 0.28221664
75% Q3 0.10467075
50% Median -0.00951107
25% Q1 -0.20457604
10% -0.34960591
5% -0.65665632
1% -0.82256135
0% Min -0.82256135

Extreme Observations
Lowest Highest
Value Obs Value Obs
-0.822561 1 0.236194 30
-0.656656 2 0.282217 31
-0.370225 3 0.371204 32
-0.349606 4 0.420035 33
-0.262260 5 0.529757 34



TIMSS Regression Diagnostics
Weighted
2003 science difference ON IAT

The UNIVARIATE Procedure
Variable: dffit (Standard Influence on Predicted Value)

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
       5 3                        1                |                   0.55+                                             +*++   
       4 2                        1                |                       |                                         +*++       
       3 7                        1                |                       |                                      +*+           
       2 48                       2                |                       |                                  ++**              
       1 0366                     4             +-----+                    |                               +****                
       0 01126999                 8             |     |                    |                         *******                    
      -0 77662                    5             *--+--*                    |                      ****+                         
      -1 643                      3             |     |               -0.15+                   ***+                             
      -2 65110                    5             +-----+                    |              *****+                                
      -3 75                       2                |                       |           *+*++                                    
      -4                                           |                       |         +++                                        
      -5                                           |                       |     ++++                                           
      -6 6                        1                |                       | ++++   *                                           
      -7                                                                   |+                                                   
      -8 2                        1                0                  -0.85+    *                                               
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
     Multiply Stem.Leaf by 10**-1                                               -2        -1         0        +1        +2      
                                                                                                                                
                                                                                                                                



TIMSS Regression Diagnostics
Weighted
2003 science difference ON IAT

Obs dffit iat_mean iat_n BGsciDIFF03 countrycitzn
1 -0.82256 0.25671 37 -27 JO
2 -0.65666 0.64834 17 24 TN
3 -0.37022 0.48889 106 6 LT
4 -0.34961 0.41825 104 -3 CY
5 -0.26226 0.29086 47 -9 MK
6 -0.25227 0.28221 15 -9 MD
7 -0.21001 0.51348 489 9 RO
8 -0.20543 0.44178 425 1 TW
9 -0.20458 0.46123 58 4 LV
10 -0.16115 0.30604 541 -6 PH
11 -0.13853 0.44593 5649 7 SE
12 -0.13190 0.36389 152 -1 IR
13 -0.07348 0.39061 849 2 ZA
14 -0.07082 0.50838 3110 15 NL
15 -0.06151 0.37852 822 3 SG
16 -0.05538 0.44558 457 9 HK
17 -0.02173 0.39784 55 7 SI
18 0.00271 0.42329 1349 10 NZ
19 0.00576 0.43354 317 11 RU
20 0.00875 0.39817 1502 8 NO
21 0.02073 0.49977 69 17 SK
22 0.06125 0.39549 1164 10 IT
23 0.08840 0.42598 210 17 BG
24 0.08849 0.39527 15471 11 UK
25 0.09076 0.42425 1449 12 KR
26 0.10467 0.36694 322 10 MY
27 0.13393 0.36790 2476 9 JP
28 0.15891 0.44371 924 19 IL
29 0.16005 0.35176 152 11 ID
30 0.23619 0.40781 8194 20 AU
31 0.28222 0.45299 1286 23 BE
32 0.37120 0.50682 2559 26 HU
33 0.42004 0.37570 248306 17 US
34 0.52976 0.38852 163 29 CL