TIMSS Regression Diagnostics
UNweighted
2003 math difference ON IAT

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

Moments
N 34 Sum Weights 34
Mean 0.00254347 Sum Observations 0.08647799
Std Deviation 1.0504265 Variance 1.10339583
Skewness 0.19819203 Kurtosis 0.22827754
Uncorrected SS 36.4122825 Corrected SS 36.4120625
Coeff Variation 41298.9467 Std Error Mean 0.18014666

Basic Statistical Measures
Location Variability
Mean 0.00254 Std Deviation 1.05043
Median -0.13169 Variance 1.10340
Mode . Range 4.71987
    Interquartile Range 1.37547

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 0.014119 Pr > |t| 0.9888
Sign M -1 Pr >= |M| 0.8642
Signed Rank S -8.5 Pr >= |S| 0.8870

Quantiles (Definition 5)
Quantile Estimate
100% Max 2.660701
99% 2.660701
95% 1.902859
90% 1.098658
75% Q3 0.847198
50% Median -0.131694
25% Q1 -0.528274
10% -1.305081
5% -1.993519
1% -2.059170
0% Min -2.059170

Extreme Observations
Lowest Highest
Value Obs Value Obs
-2.05917 1 1.09424 30
-1.99352 2 1.09866 31
-1.49669 3 1.24141 32
-1.30508 4 1.90286 33
-1.19668 5 2.66070 34



TIMSS Regression Diagnostics
UNweighted
2003 math difference ON IAT

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

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
       2 7                        1                |                   2.75+                                              *  ++ 
       2                                           |                       |                                             ++++   
       1 9                        1                |                       |                                        ++*++       
       1 0112                     4                |                       |                                   ***+*            
       0 77899                    5             +-----+                    |                              *****                 
       0 11224                    5             |  +  |                0.25+                         +****                      
      -0 4332221                  7             *-----*                    |                   *******                          
      -0 88555                    5             +-----+                    |                ***++                               
      -1 321                      3                |                       |           *+***                                    
      -1 5                        1                |                       |      ++*++                                         
      -2 10                       2                |                  -2.25+  ++*+                                              
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
                                                                                -2        -1         0        +1        +2      
                                                                                                                                
                                                                                                                                



TIMSS Regression Diagnostics
UNweighted
2003 math difference ON IAT

Obs resid iat_mean iat_n BGmathDIFF03 countrycitzn
1 -2.05917 0.25671 37 -27 JO
2 -1.99352 0.41825 104 -15 CY
3 -1.49669 0.51348 489 -4 RO
4 -1.30508 0.46123 58 -7 LV
5 -1.19668 0.48889 106 -4 LT
6 -1.08442 0.44178 425 -7 TW
7 -0.81697 0.37852 822 -10 SG
8 -0.75774 0.49977 69 0 SK
9 -0.52827 0.36389 152 -9 IR
10 -0.47046 0.30604 541 -13 PH
11 -0.45019 0.43354 317 -3 RU
12 -0.44301 0.44558 457 -2 HK
13 -0.31826 0.39527 15471 -5 UK
14 -0.29146 0.36694 322 -7 MY
15 -0.21214 0.39784 55 -4 SI
16 -0.21044 0.42329 1349 -2 NZ
17 -0.18028 0.44593 5649 0 SE
18 -0.08310 0.39817 1502 -3 NO
19 0.10320 0.50838 3110 7 NL
20 0.11967 0.50682 2559 7 HU
21 0.15867 0.42598 210 1 BG
22 0.19913 0.28221 15 -10 MD
23 0.38150 0.29086 47 -8 MK
24 0.66166 0.39061 849 2 ZA
25 0.67279 0.35176 152 -1 ID
26 0.84720 0.42425 1449 6 KR
27 0.90777 0.36790 2476 2 JP
28 0.91505 0.44371 924 8 IL
29 1.01988 0.39549 1164 5 IT
30 1.09424 0.45299 1286 10 BE
31 1.09866 0.64834 17 24 TN
32 1.24141 0.37570 248306 5 US
33 1.90286 0.40781 8194 12 AU
34 2.66070 0.38852 163 15 CL



TIMSS Regression Diagnostics
UNweighted
2003 math difference ON IAT

The UNIVARIATE Procedure
Variable: lever (Leverage)

Moments
N 34 Sum Weights 34
Mean 0.05882353 Sum Observations 2
Std Deviation 0.0556374 Variance 0.00309552
Skewness 3.53537951 Kurtosis 14.8180153
Uncorrected SS 0.21979922 Corrected SS 0.10215216
Coeff Variation 94.5835749 Std Error Mean 0.00954173

Basic Statistical Measures
Location Variability
Mean 0.058824 Std Deviation 0.05564
Median 0.036783 Variance 0.00310
Mode . Range 0.29014
    Interquartile Range 0.03659

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 6.164867 Pr > |t| <.0001
Sign M 17 Pr >= |M| <.0001
Signed Rank S 297.5 Pr >= |S| <.0001

Quantiles (Definition 5)
Quantile Estimate
100% Max 0.3196239
99% 0.3196239
95% 0.1618292
90% 0.1107463
75% Q3 0.0679412
50% Median 0.0367834
25% Q1 0.0313510
10% 0.0299067
5% 0.0296569
1% 0.0294825
0% Min 0.0294825

Extreme Observations
Lowest Highest
Value Obs Value Obs
0.0294825 1 0.0920182 30
0.0296569 2 0.1107463 31
0.0298126 3 0.1225086 32
0.0299067 4 0.1618292 33
0.0300994 5 0.3196239 34



TIMSS Regression Diagnostics
UNweighted
2003 math difference ON IAT

The UNIVARIATE Procedure
Variable: lever (Leverage)

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
      32 0                        1                *                   0.33+                                                    
      30                                                                   |                                              *     
      28                                                                   |                                                    
      26                                                               0.27+                                                    
      24                                                                   |                                                    
      22                                                                   |                                                    
      20                                                               0.21+                                                    
      18                                                                   |                                               ++++ 
      16 2                        1                0                       |                                          * +++     
      14                                                               0.15+                                        ++++        
      12 3                        1                |                       |                                    +++*            
      10 1                        1                |                       |                                 +++ *              
       8 12                       2                |                   0.09+                             ++++  **               
       6 856                      3             +-----+                    |                          +++   ***                 
       4 111309                   6             |  +  |                    |                      ++++ *****                    
       2 9000011111233455677     19             *-----*                0.03+    *   *  * **************                         
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
     Multiply Stem.Leaf by 10**-2                                               -2        -1         0        +1        +2      
                                                                                                                                
                                                                                                                                



TIMSS Regression Diagnostics
UNweighted
2003 math difference ON IAT

Obs lever iat_mean iat_n BGmathDIFF03 countrycitzn
1 0.02948 0.41825 104 -15 CY
2 0.02966 0.40781 8194 12 AU
3 0.02981 0.42329 1349 -2 NZ
4 0.02991 0.42425 1449 6 KR
5 0.03010 0.42598 210 1 BG
6 0.03085 0.39817 1502 -3 NO
7 0.03090 0.39784 55 -4 SI
8 0.03132 0.43354 317 -3 RU
9 0.03135 0.39549 1164 5 IT
10 0.03140 0.39527 15471 -5 UK
11 0.03247 0.39061 849 2 ZA
12 0.03303 0.38852 163 15 CL
13 0.03334 0.44178 425 -7 TW
14 0.03391 0.44371 924 8 IL
15 0.03451 0.44558 457 -2 HK
16 0.03463 0.44593 5649 0 SE
17 0.03633 0.37852 822 -10 SG
18 0.03724 0.45299 1286 10 BE
19 0.03745 0.37570 248306 5 US
20 0.04096 0.46123 58 -7 LV
21 0.04100 0.36790 2476 2 JP
22 0.04148 0.36694 322 -7 MY
23 0.04307 0.36389 152 -9 IR
24 0.05039 0.35176 152 -1 ID
25 0.05872 0.48889 106 -4 LT
26 0.06794 0.49977 69 0 SK
27 0.07458 0.50682 2559 7 HU
28 0.07613 0.50838 3110 7 NL
29 0.08135 0.51348 489 -4 RO
30 0.09202 0.30604 541 -13 PH
31 0.11075 0.29086 47 -8 MK
32 0.12251 0.28221 15 -10 MD
33 0.16183 0.25671 37 -27 JO
34 0.31962 0.64834 17 24 TN



TIMSS Regression Diagnostics
UNweighted
2003 math difference ON IAT

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

Moments
N 34 Sum Weights 34
Mean 0.03727856 Sum Observations 1.26747098
Std Deviation 0.0783231 Variance 0.00613451
Skewness 3.46685478 Kurtosis 12.2875645
Uncorrected SS 0.24968827 Corrected SS 0.20243878
Coeff Variation 210.102287 Std Error Mean 0.0134323

Basic Statistical Measures
Location Variability
Mean 0.037279 Std Deviation 0.07832
Median 0.011857 Variance 0.00613
Mode . Range 0.37159
    Interquartile Range 0.02759

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 2.775292 Pr > |t| 0.0090
Sign M 17 Pr >= |M| <.0001
Signed Rank S 297.5 Pr >= |S| <.0001

Quantiles (Definition 5)
Quantile Estimate
100% Max 0.371698469
99% 0.371698469
95% 0.281698254
90% 0.095478952
75% Q3 0.029481981
50% Median 0.011856577
25% Q1 0.001892174
10% 0.000595451
5% 0.000402910
1% 0.000113426
0% Min 0.000113426

Extreme Observations
Lowest Highest
Value Obs Value Obs
0.000113426 1 0.0552299 30
0.000402910 2 0.0954790 31
0.000452825 3 0.1015911 32
0.000595451 4 0.2816983 33
0.000601044 5 0.3716985 34



TIMSS Regression Diagnostics
UNweighted
2003 math difference ON IAT

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

   Stem Leaf                             #          Boxplot                                Normal Probability Plot              
      3 7                                1             *               0.375+                                              *    
      3                                                                     |                                                   
      2 8                                1             *                    |                                          *        
      2                                                                     |                                              +++++
      1                                                                     |                                        ++++++     
      1 00                               2             0                    |                                  +++++*           
      0 56                               2             |                    |                           +++++++ ***             
      0 0000000000001111111122222344    28          +--+--+            0.025+    *   *  * **********************                
        ----+----+----+----+----+---                                         +----+----+----+----+----+----+----+----+----+----+
    Multiply Stem.Leaf by 10**-1                                                 -2        -1         0        +1        +2     
                                                                                                                                
                                                                                                                                



TIMSS Regression Diagnostics
UNweighted
2003 math difference ON IAT

Obs cookd iat_mean iat_n BGmathDIFF03 countrycitzn
1 0.00011 0.39817 1502 -3 NO
2 0.00040 0.42598 210 1 BG
3 0.00045 0.50838 3110 7 NL
4 0.00060 0.50682 2559 7 HU
5 0.00060 0.44593 5649 0 SE
6 0.00070 0.42329 1349 -2 NZ
7 0.00074 0.39784 55 -4 SI
8 0.00169 0.39527 15471 -5 UK
9 0.00189 0.36694 322 -7 MY
10 0.00285 0.28221 15 -10 MD
11 0.00336 0.43354 317 -3 RU
12 0.00360 0.44558 457 -2 HK
13 0.00643 0.36389 152 -9 IR
14 0.00748 0.39061 849 2 ZA
15 0.00931 0.29086 47 -8 MK
16 0.01116 0.42425 1449 6 KR
17 0.01150 0.30604 541 -13 PH
18 0.01222 0.35176 152 -1 ID
19 0.01271 0.37852 822 -10 SG
20 0.01477 0.44371 924 8 IL
21 0.01681 0.39549 1164 5 IT
22 0.01771 0.36790 2476 2 JP
23 0.02017 0.44178 425 -7 TW
24 0.02121 0.49977 69 0 SK
25 0.02301 0.45299 1286 10 BE
26 0.02948 0.37570 248306 5 US
27 0.03559 0.46123 58 -7 LV
28 0.04408 0.48889 106 -4 LT
29 0.05114 0.40781 8194 12 AU
30 0.05523 0.41825 104 -15 CY
31 0.09548 0.51348 489 -4 RO
32 0.10159 0.38852 163 15 CL
33 0.28170 0.64834 17 24 TN
34 0.37170 0.25671 37 -27 JO



TIMSS Regression Diagnostics
UNweighted
2003 math difference ON IAT

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

Moments
N 34 Sum Weights 34
Mean -0.0056895 Sum Observations -0.1934427
Std Deviation 0.28483727 Variance 0.08113227
Skewness -0.3648912 Kurtosis 2.9946111
Uncorrected SS 2.67846548 Corrected SS 2.67736489
Coeff Variation -5006.3743 Std Error Mean 0.04884919

Basic Statistical Measures
Location Variability
Mean -0.00569 Std Deviation 0.28484
Median -0.02448 Variance 0.08113
Mode . Range 1.65783
    Interquartile Range 0.30475

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t -0.11647 Pr > |t| 0.9080
Sign M -1 Pr >= |M| 0.8642
Signed Rank S -7.5 Pr >= |S| 0.9002

Quantiles (Definition 5)
Quantile Estimate
100% Max 0.7530218
99% 0.7530218
95% 0.4917140
90% 0.2448694
75% Q3 0.1549772
50% Median -0.0244845
25% Q1 -0.1497698
10% -0.2989028
5% -0.4453739
1% -0.9048039
0% Min -0.9048039

Extreme Observations
Lowest Highest
Value Obs Value Obs
-0.904804 1 0.215204 30
-0.445374 2 0.244869 31
-0.347457 3 0.332664 32
-0.298903 4 0.491714 33
-0.269707 5 0.753022 34



TIMSS Regression Diagnostics
UNweighted
2003 math difference ON IAT

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

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
       6 5                        1                0                    0.7+                                              *++++ 
       4 9                        1                |                       |                                        ++*++++     
       2 243                      3                |                       |                                 +++**+*            
       0 33372355789             11             +-----+                    |                          **********                
      -0 65188664431             11             *--+--*                -0.1+                 *********                          
      -2 50700                    5                |                       |           *+****++                                 
      -4 5                        1                |                       |     +++*+++                                        
      -6                                                                   |+++++                                               
      -8 0                        1                0                   -0.9+    *                                               
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
     Multiply Stem.Leaf by 10**-1                                               -2        -1         0        +1        +2      
                                                                                                                                
                                                                                                                                



TIMSS Regression Diagnostics
UNweighted
2003 math difference ON IAT

Obs dffit iat_mean iat_n BGmathDIFF03 countrycitzn
1 -0.90480 0.25671 37 -27 JO
2 -0.44537 0.51348 489 -4 RO
3 -0.34746 0.41825 104 -15 CY
4 -0.29890 0.48889 106 -4 LT
5 -0.26971 0.46123 58 -7 LV
6 -0.20458 0.49977 69 0 SK
7 -0.20138 0.44178 425 -7 TW
8 -0.15862 0.37852 822 -10 SG
9 -0.14977 0.30604 541 -13 PH
10 -0.11207 0.36389 152 -9 IR
11 -0.08375 0.44558 457 -2 HK
12 -0.08095 0.43354 317 -3 RU
13 -0.06063 0.36694 322 -7 MY
14 -0.05730 0.39527 15471 -5 UK
15 -0.03788 0.39784 55 -4 SI
16 -0.03689 0.42329 1349 -2 NZ
17 -0.03414 0.44593 5649 0 SE
18 -0.01483 0.39817 1502 -3 NO
19 0.02795 0.42598 210 1 BG
20 0.02963 0.50838 3110 7 NL
21 0.03397 0.50682 2559 7 HU
22 0.07440 0.28221 15 -10 MD
23 0.12121 0.39061 849 2 ZA
24 0.13463 0.29086 47 -8 MK
25 0.14875 0.42425 1449 6 KR
26 0.15498 0.35176 152 -1 ID
27 0.17144 0.44371 924 8 IL
28 0.18348 0.39549 1164 5 IT
29 0.18769 0.36790 2476 2 JP
30 0.21520 0.45299 1286 10 BE
31 0.24487 0.37570 248306 5 US
32 0.33266 0.40781 8194 12 AU
33 0.49171 0.38852 163 15 CL
34 0.75302 0.64834 17 24 TN