TIMSS Regression Diagnostics
UNweighted
2003 science difference ON IAT

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

Moments
N 34 Sum Weights 34
Mean -0.010159 Sum Observations -0.3454052
Std Deviation 1.07228908 Variance 1.14980386
Skewness 0.18975586 Kurtosis 1.43868709
Uncorrected SS 37.9470365 Corrected SS 37.9435275
Coeff Variation -10555.089 Std Error Mean 0.18389606

Basic Statistical Measures
Location Variability
Mean -0.01016 Std Deviation 1.07229
Median 0.01106 Variance 1.14980
Mode . Range 5.81943
    Interquartile Range 1.28225

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t -0.05524 Pr > |t| 0.9563
Sign M 1 Pr >= |M| 0.8642
Signed Rank S -4.5 Pr >= |S| 0.9400

Quantiles (Definition 5)
Quantile Estimate
100% Max 3.0060940
99% 3.0060940
95% 1.4554586
90% 1.2666882
75% Q3 0.7043969
50% Median 0.0110556
25% Q1 -0.5778507
10% -1.1694126
5% -1.4183219
1% -2.8133374
0% Min -2.8133374

Extreme Observations
Lowest Highest
Value Obs Value Obs
-2.81334 1 1.01453 30
-1.41832 2 1.26669 31
-1.20646 3 1.43472 32
-1.16941 4 1.45546 33
-1.10698 5 3.00609 34



TIMSS Regression Diagnostics
UNweighted
2003 science difference ON IAT

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

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
       3 0                        1                0                   3.25+                                              *     
       2                                                                   |                                                 ++ 
       2                                                                   |                                            +++++   
       1 5                        1                |                       |                                        ++++        
       1 0034                     4                |                       |                                   ***+*  *         
       0 56799                    5             +-----+                    |                              +****                 
       0 0011134                  7             *-----*                0.25+                         ******                     
      -0 332                      3             |  +  |                    |                     ****+                          
      -0 765555                   6             +-----+                    |                +****                               
      -1 422110                   6                |                       |        *  *+****                                   
      -1                                                                   |       +++++                                        
      -2                                                                   |  +++++                                             
      -2 8                        1                0                  -2.75+++  *                                               
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
                                                                                -2        -1         0        +1        +2      
                                                                                                                                
                                                                                                                                



TIMSS Regression Diagnostics
UNweighted
2003 science difference ON IAT

Obs resid iat_mean iat_n BGsciDIFF03 countrycitzn
1 -2.81334 0.25671 37 -27 JO
2 -1.41832 0.41825 104 -3 CY
3 -1.20646 0.44178 425 1 TW
4 -1.16941 0.48889 106 6 LT
5 -1.10698 0.51348 489 9 RO
6 -1.07420 0.46123 58 4 LV
7 -1.01404 0.64834 17 24 TN
8 -0.67671 0.29086 47 -9 MK
9 -0.57785 0.28221 15 -9 MD
10 -0.54390 0.36389 152 -1 IR
11 -0.53637 0.44593 5649 7 SE
12 -0.49318 0.39061 849 2 ZA
13 -0.48481 0.30604 541 -6 PH
14 -0.31705 0.50838 3110 15 NL
15 -0.29957 0.44558 457 9 HK
16 -0.24147 0.37852 822 3 SG
17 0.00429 0.39784 55 7 SI
18 0.01782 0.49977 69 17 SK
19 0.06553 0.42329 1349 10 NZ
20 0.06629 0.43354 317 11 RU
21 0.11580 0.39817 1502 8 NO
22 0.28535 0.42425 1449 12 KR
23 0.37698 0.39549 1164 10 IT
24 0.49585 0.39527 15471 11 UK
25 0.57510 0.36790 2476 9 JP
26 0.70440 0.36694 322 10 MY
27 0.85116 0.42598 210 17 BG
28 0.88646 0.44371 924 19 IL
29 1.00572 0.35176 152 11 ID
30 1.01453 0.50682 2559 26 HU
31 1.26669 0.45299 1286 23 BE
32 1.43472 0.40781 8194 20 AU
33 1.45546 0.37570 248306 17 US
34 3.00609 0.38852 163 29 CL



TIMSS Regression Diagnostics
UNweighted
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 0.0556374 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 science 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 science difference ON IAT

Obs lever iat_mean iat_n BGsciDIFF03 countrycitzn
1 0.02948 0.41825 104 -3 CY
2 0.02966 0.40781 8194 20 AU
3 0.02981 0.42329 1349 10 NZ
4 0.02991 0.42425 1449 12 KR
5 0.03010 0.42598 210 17 BG
6 0.03085 0.39817 1502 8 NO
7 0.03090 0.39784 55 7 SI
8 0.03132 0.43354 317 11 RU
9 0.03135 0.39549 1164 10 IT
10 0.03140 0.39527 15471 11 UK
11 0.03247 0.39061 849 2 ZA
12 0.03303 0.38852 163 29 CL
13 0.03334 0.44178 425 1 TW
14 0.03391 0.44371 924 19 IL
15 0.03451 0.44558 457 9 HK
16 0.03463 0.44593 5649 7 SE
17 0.03633 0.37852 822 3 SG
18 0.03724 0.45299 1286 23 BE
19 0.03745 0.37570 248306 17 US
20 0.04096 0.46123 58 4 LV
21 0.04100 0.36790 2476 9 JP
22 0.04148 0.36694 322 10 MY
23 0.04307 0.36389 152 -1 IR
24 0.05039 0.35176 152 11 ID
25 0.05872 0.48889 106 6 LT
26 0.06794 0.49977 69 17 SK
27 0.07458 0.50682 2559 26 HU
28 0.07613 0.50838 3110 15 NL
29 0.08135 0.51348 489 9 RO
30 0.09202 0.30604 541 -6 PH
31 0.11075 0.29086 47 -9 MK
32 0.12251 0.28221 15 -9 MD
33 0.16183 0.25671 37 -27 JO
34 0.31962 0.64834 17 24 TN



TIMSS Regression Diagnostics
UNweighted
2003 science difference ON IAT

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

Moments
N 34 Sum Weights 34
Mean 0.0434314 Sum Observations 1.47666758
Std Deviation 0.11267 Variance 0.01269453
Skewness 4.6629237 Kurtosis 23.4687901
Uncorrected SS 0.48305322 Corrected SS 0.41891948
Coeff Variation 259.420615 Std Error Mean 0.01932275

Basic Statistical Measures
Location Variability
Mean 0.043431 Std Deviation 0.11267
Median 0.011770 Variance 0.01269
Mode . Range 0.62831
    Interquartile Range 0.02809

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 2.247683 Pr > |t| 0.0314
Sign M 17 Pr >= |M| <.0001
Signed Rank S 297.5 Pr >= |S| <.0001

Quantiles (Definition 5)
Quantile Estimate
100% Max 6.28308E-01
99% 6.28308E-01
95% 2.41317E-01
90% 5.38750E-02
75% Q3 3.04490E-02
50% Median 1.17704E-02
25% Q1 2.36316E-03
10% 7.33107E-05
5% 1.19509E-05
1% 3.02672E-07
0% Min 3.02672E-07

Extreme Observations
Lowest Highest
Value Obs Value Obs
3.02672E-07 1 0.0421743 30
1.19509E-05 2 0.0538750 31
6.81043E-05 3 0.1233391 32
7.33107E-05 4 0.2413168 33
2.20197E-04 5 0.6283079 34



TIMSS Regression Diagnostics
UNweighted
2003 science difference ON IAT

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

   Stem Leaf                               #         Boxplot                               Normal Probability Plot              
      6 3                                  1            *              0.625+                                              *    
      5                                                                     |                                                   
      5                                                                     |                                                   
      4                                                                     |                                                   
      4                                                                     |                                                   
      3                                                                     |                                                   
      3                                                                0.325+                                                +++
      2                                                                     |                                            ++++   
      2 4                                  1            *                   |                                       +++*+       
      1                                                                     |                                   ++++            
      1 2                                  1            *                   |                               ++++    *           
      0 5                                  1            |                   |                          +++++      *             
      0 000000000000111111122233333444    30         +--+--+           0.025+    *   *  * ************************              
        ----+----+----+----+----+----+                                       +----+----+----+----+----+----+----+----+----+----+
    Multiply Stem.Leaf by 10**-1                                                 -2        -1         0        +1        +2     
                                                                                                                                
                                                                                                                                



TIMSS Regression Diagnostics
UNweighted
2003 science difference ON IAT

Obs cookd iat_mean iat_n BGsciDIFF03 countrycitzn
1 0.00000 0.39784 55 7 SI
2 0.00001 0.49977 69 17 SK
3 0.00007 0.42329 1349 10 NZ
4 0.00007 0.43354 317 11 RU
5 0.00022 0.39817 1502 8 NO
6 0.00113 0.37852 822 3 SG
7 0.00129 0.42425 1449 12 KR
8 0.00165 0.44558 457 9 HK
9 0.00236 0.39549 1164 10 IT
10 0.00408 0.39527 15471 11 UK
11 0.00418 0.39061 849 2 ZA
12 0.00426 0.50838 3110 15 NL
13 0.00528 0.44593 5649 7 SE
14 0.00681 0.36389 152 -1 IR
15 0.00722 0.36790 2476 9 JP
16 0.01091 0.36694 322 10 MY
17 0.01134 0.42598 210 17 BG
18 0.01220 0.30604 541 -6 PH
19 0.01388 0.44371 924 19 IL
20 0.02380 0.28221 15 -9 MD
21 0.02452 0.46123 58 4 LV
22 0.02475 0.44178 425 1 TW
23 0.02683 0.35176 152 11 ID
24 0.02901 0.29086 47 -9 MK
25 0.02962 0.41825 104 -3 CY
26 0.03045 0.40781 8194 20 AU
27 0.03046 0.45299 1286 23 BE
28 0.03982 0.37570 248306 17 US
29 0.04144 0.50682 2559 26 HU
30 0.04217 0.48889 106 6 LT
31 0.05387 0.51348 489 9 RO
32 0.12334 0.38852 163 29 CL
33 0.24132 0.64834 17 24 TN
34 0.62831 0.25671 37 -27 JO



TIMSS Regression Diagnostics
UNweighted
2003 science difference ON IAT

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

Moments
N 34 Sum Weights 34
Mean -0.0487146 Sum Observations -1.6562955
Std Deviation 0.31198392 Variance 0.09733397
Skewness -1.7012453 Kurtosis 5.78434555
Uncorrected SS 3.29270658 Corrected SS 3.21202085
Coeff Variation -640.43243 Std Error Mean 0.0535048

Basic Statistical Measures
Location Variability
Mean -0.04871 Std Deviation 0.31198
Median 0.00279 Variance 0.09733
Mode . Range 1.79173
    Interquartile Range 0.36244

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t -0.91047 Pr > |t| 0.3692
Sign M 1 Pr >= |M| 0.8642
Signed Rank S -24.5 Pr >= |S| 0.6818

Quantiles (Definition 5)
Quantile Estimate
100% Max 0.55554468
99% 0.55554468
95% 0.28801000
90% 0.25082308
75% Q3 0.14653072
50% Median 0.00278888
25% Q1 -0.21591241
10% -0.29209123
5% -0.69502523
1% -1.23618661
0% Min -1.23618661

Extreme Observations
Lowest Highest
Value Obs Value Obs
-1.236187 1 0.249121 30
-0.695025 2 0.250823 31
-0.329407 3 0.287090 32
-0.292091 4 0.288010 33
-0.247204 5 0.555545 34



TIMSS Regression Diagnostics
UNweighted
2003 science difference ON IAT

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

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
       4 6                        1                |                    0.5+                                        ++++++*     
       2 35599                    5                |                       |                                 ++***+*  *         
       0 001125792557            12             +-----+                    |                         **********                 
      -0 5209965                  7             |  +  |                -0.1+                   ******++                         
      -2 3954222                  7             +-----+                    |           * ******++                               
      -4                                           |                       |        ++++++                                      
      -6 0                        1                |                   -0.7+ +++++++*                                           
      -8                                                                   |+                                                   
     -10                                                                   |                                                    
     -12 4                        1                0                   -1.3+    *                                               
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
     Multiply Stem.Leaf by 10**-1                                               -2        -1         0        +1        +2      
                                                                                                                                
                                                                                                                                



TIMSS Regression Diagnostics
UNweighted
2003 science difference ON IAT

Obs dffit iat_mean iat_n BGsciDIFF03 countrycitzn
1 -1.23619 0.25671 37 -27 JO
2 -0.69503 0.64834 17 24 TN
3 -0.32941 0.51348 489 9 RO
4 -0.29209 0.48889 106 6 LT
5 -0.24720 0.41825 104 -3 CY
6 -0.23881 0.29086 47 -9 MK
7 -0.22405 0.44178 425 1 TW
8 -0.22199 0.46123 58 4 LV
9 -0.21591 0.28221 15 -9 MD
10 -0.15434 0.30604 541 -6 PH
11 -0.11539 0.36389 152 -1 IR
12 -0.10158 0.44593 5649 7 SE
13 -0.09101 0.50838 3110 15 NL
14 -0.09034 0.39061 849 2 ZA
15 -0.05664 0.44558 457 9 HK
16 -0.04688 0.37852 822 3 SG
17 0.00077 0.39784 55 7 SI
18 0.00481 0.49977 69 17 SK
19 0.01149 0.42329 1349 10 NZ
20 0.01192 0.43354 317 11 RU
21 0.02066 0.39817 1502 8 NO
22 0.05010 0.42425 1449 12 KR
23 0.06782 0.39549 1164 10 IT
24 0.08927 0.39527 15471 11 UK
25 0.11891 0.36790 2476 9 JP
26 0.14653 0.36694 322 10 MY
27 0.14994 0.42598 210 17 BG
28 0.16608 0.44371 924 19 IL
29 0.23167 0.35176 152 11 ID
30 0.24912 0.45299 1286 23 BE
31 0.25082 0.40781 8194 20 AU
32 0.28709 0.37570 248306 17 US
33 0.28801 0.50682 2559 26 HU
34 0.55554 0.38852 163 29 CL