TIMSS Regression Diagnostics
UNweighted
1999 science difference ON IAT

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

Moments
N 29 Sum Weights 29
Mean -0.02887 Sum Observations -0.8372292
Std Deviation 1.1074984 Variance 1.22655271
Skewness -0.7245557 Kurtosis 2.00323221
Uncorrected SS 34.3676467 Corrected SS 34.343476
Coeff Variation -3836.1601 Std Error Mean 0.20565729

Basic Statistical Measures
Location Variability
Mean -0.02887 Std Deviation 1.10750
Median 0.06444 Variance 1.22655
Mode . Range 5.62747
    Interquartile Range 1.03383

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t -0.14038 Pr > |t| 0.8894
Sign M 1.5 Pr >= |M| 0.7111
Signed Rank S 15.5 Pr >= |S| 0.7439

Quantiles (Definition 5)
Quantile Estimate
100% Max 2.5713687
99% 2.5713687
95% 1.2075270
90% 1.0510490
75% Q3 0.6686879
50% Median 0.0644404
25% Q1 -0.3651459
10% -1.7934296
5% -2.4646564
1% -3.0561039
0% Min -3.0561039

Extreme Observations
Lowest Highest
Value Obs Value Obs
-3.056104 6 0.804092 30
-2.464656 7 0.835438 31
-1.793430 8 1.051049 32
-0.939537 9 1.207527 33
-0.825126 10 2.571369 34

Missing Values
Missing
Value		 Count Percent Of
All Obs Missing Obs
. 5 14.71 100.00 

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
       2 6                        1                0                   2.75+                                             *  +++ 
       2                                                                   |                                            ++++    
       1                                                                   |                                       +++++        
       1 12                       2                |                       |                                   +++*  *          
       0 56777788                 8             +-----+                    |                             ***+*** *              
       0 11112                    5             *-----*                    |                        *****+                      
      -0 432221                   6             +--+--+               -0.25+                   *****++                          
      -0 9875                     4                |                       |             * ***+++                               
      -1                                           |                       |            +++++                                   
      -1 8                        1                |                       |        ++++*                                       
      -2                                                                   |   +++++ *                                          
      -2 5                        1                0                       |+++                                                 
      -3 1                        1                0                  -3.25+     *                                              
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
                                                                                -2        -1         0        +1        +2


TIMSS Regression Diagnostics
UNweighted
1999 science difference ON IAT

Obs resid iat_mean iat_n BGsciDIFF99 countrycitzn
1 . 0.39784 55 . SI
2 . 0.39817 1502 . NO
3 . 0.44593 5649 . SE
4 . 0.40781 8194 . AU
5 . 0.39527 15471 . UK
6 -3.05610 0.25671 37 -18 JO
7 -2.46466 0.30604 541 -12 PH
8 -1.79343 0.51348 489 7 RO
9 -0.93954 0.42329 1349 7 NZ
10 -0.82513 0.64834 17 25 TN
11 -0.69554 0.29086 47 0 MK
12 -0.54571 0.41825 104 10 CY
13 -0.36515 0.50838 3110 18 NL
14 -0.32113 0.46123 58 15 LV
15 -0.19394 0.44558 457 15 HK
16 -0.17883 0.44371 924 15 IL
17 -0.15011 0.42598 210 14 BG
18 -0.13261 0.36694 322 10 MY
19 0.05557 0.49977 69 21 SK
20 0.06444 0.44178 425 17 TW
21 0.08857 0.45299 1286 18 BE
22 0.14382 0.48889 106 21 LT
23 0.20293 0.36790 2476 13 JP
24 0.46531 0.50682 2559 25 HU
25 0.58929 0.43354 317 21 RU
26 0.66492 0.42425 1449 21 KR
27 0.66869 0.39549 1164 19 IT
28 0.70230 0.28221 15 11 MD
29 0.70933 0.39061 849 19 ZA
30 0.80409 0.35176 152 17 ID
31 0.83544 0.37570 248306 19 US
32 1.05105 0.37852 822 21 SG
33 1.20753 0.38852 163 23 CL
34 2.57137 0.36389 152 31 IR


TIMSS Regression Diagnostics
UNweighted
1999 science difference ON IAT

The UNIVARIATE Procedure
Variable: lever (Leverage)

Moments
N 34 Sum Weights 34
Mean 0.06421204 Sum Observations 2.18320951
Std Deviation 0.05603984 Variance 0.00314046
Skewness 3.49503794 Kurtosis 14.4548892
Uncorrected SS 0.24382365 Corrected SS 0.1036353
Coeff Variation 87.273097 Std Error Mean 0.00961075

Basic Statistical Measures
Location Variability
Mean 0.064212 Std Deviation 0.05604
Median 0.041926 Variance 0.00314
Mode . Range 0.29084
    Interquartile Range 0.03590

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 6.681271 Pr > |t| <.0001
Sign M 17 Pr >= |M| <.0001
Signed Rank S 297.5 Pr >= |S| <.0001

Quantiles (Definition 5)
Quantile Estimate
100% Max 0.3253614
99% 0.3253614
95% 0.1699484
90% 0.1179688
75% Q3 0.0725440
50% Median 0.0419258
25% Q1 0.0366456
10% 0.0348879
5% 0.0348028
1% 0.0345214
0% Min 0.0345214

Extreme Observations
Lowest Highest
Value Obs Value Obs
0.0345214 1 0.0988844 30
0.0348028 2 0.1179688 31
0.0348058 3 0.1299458 32
0.0348879 4 0.1699484 33
0.0350648 5 0.3253614 34


TIMSS Regression Diagnostics
UNweighted
1999 science difference ON IAT

The UNIVARIATE Procedure
Variable: lever (Leverage)

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
      32 5                        1                *                   0.33+                                              *     
      30                                                                   |                                                    
      28                                                                   |                                                    
      26                                                               0.27+                                                    
      24                                                                   |                                                    
      22                                                                   |                                                    
      20                                                               0.21+                                                  + 
      18                                                                   |                                              ++++  
      16 0                        1                0                       |                                          *+++      
      14                                                               0.15+                                       ++++         
      12 0                        1                0                       |                                   ++++*            
      10 8                        1                |                       |                                +++  *              
       8 169                      3                |                   0.09+                            ++++  ***               
       6 339                      3             +--+--+                    |                         +++   ***                  
       4 22367796                 8             *-----*                    |                     ++++******                     
       2 5555566677888999        16             +-----+                0.03+    *   *  * ************                           
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
     Multiply Stem.Leaf by 10**-2                                               -2        -1         0        +1        +2


TIMSS Regression Diagnostics
UNweighted
1999 science difference ON IAT

Obs lever iat_mean iat_n BGsciDIFF99 countrycitzn
1 0.03452 0.41825 104 10 CY
2 0.03480 0.42329 1349 7 NZ
3 0.03481 0.40781 8194 . AU
4 0.03489 0.42425 1449 21 KR
5 0.03506 0.42598 210 14 BG
6 0.03611 0.39817 1502 . NO
7 0.03617 0.39784 55 . SI
8 0.03622 0.43354 317 21 RU
9 0.03665 0.39549 1164 19 IT
10 0.03670 0.39527 15471 . UK
11 0.03783 0.39061 849 19 ZA
12 0.03817 0.44178 425 17 TW
13 0.03841 0.38852 163 23 CL
14 0.03873 0.44371 924 15 IL
15 0.03932 0.44558 457 15 HK
16 0.03943 0.44593 5649 . SE
17 0.04185 0.37852 822 21 SG
18 0.04200 0.45299 1286 18 BE
19 0.04302 0.37570 248306 19 US
20 0.04567 0.46123 58 15 LV
21 0.04668 0.36790 2476 13 JP
22 0.04718 0.36694 322 10 MY
23 0.04882 0.36389 152 31 IR
24 0.05634 0.35176 152 17 ID
25 0.06334 0.48889 106 21 LT
26 0.07254 0.49977 69 21 SK
27 0.07918 0.50682 2559 25 HU
28 0.08073 0.50838 3110 18 NL
29 0.08595 0.51348 489 7 RO
30 0.09888 0.30604 541 -12 PH
31 0.11797 0.29086 47 0 MK
32 0.12995 0.28221 15 11 MD
33 0.16995 0.25671 37 -18 JO
34 0.32536 0.64834 17 25 TN


TIMSS Regression Diagnostics
UNweighted
1999 science difference ON IAT

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

Moments
N 29 Sum Weights 29
Mean 0.05840595 Sum Observations 1.69377265
Std Deviation 0.14460782 Variance 0.02091142
Skewness 3.98011274 Kurtosis 17.5881802
Uncorrected SS 0.68444619 Corrected SS 0.58551978
Coeff Variation 247.590885 Std Error Mean 0.026853

Basic Statistical Measures
Location Variability
Mean 0.058406 Std Deviation 0.14461
Median 0.008682 Variance 0.02091
Mode . Range 0.73041
    Interquartile Range 0.02784

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 2.175025 Pr > |t| 0.0382
Sign M 14.5 Pr >= |M| <.0001
Signed Rank S 217.5 Pr >= |S| <.0001

Quantiles (Definition 5)
Quantile Estimate
100% Max 7.30497E-01
99% 7.30497E-01
95% 2.80565E-01
90% 1.66138E-01
75% Q3 2.86360E-02
50% Median 8.68236E-03
25% Q1 7.98154E-04
10% 1.78519E-04
5% 1.25379E-04
1% 8.55586E-05
0% Min 8.55586E-05

Extreme Observations
Lowest Highest
Value Obs Value Obs
8.55586E-05 6 0.139750 30
1.25379E-04 7 0.140470 31
1.78519E-04 8 0.166138 32
4.24769E-04 9 0.280565 33
4.51776E-04 10 0.730497 34

Missing Values
Missing
Value		 Count Percent Of
All Obs Missing Obs
. 5 14.71 100.00 

   Stem Leaf                         #            Boxplot                                  Normal Probability Plot              
      7 3                            1               *                  0.75+                                             *     
      6                                                                     |                                                   
      5                                                                     |                                                   
      4                                                                     |                                                 ++
      3                                                                     |                                          +++++++  
      2 8                            1               *                      |                                   ++++++*         
      1 447                          3               *                      |                            +++++++* **            
      0 000000000011111112222334    24            +--+--+               0.05+     *   *  ** *** ************* **                
        ----+----+----+----+----                                             +----+----+----+----+----+----+----+----+----+----+
    Multiply Stem.Leaf by 10**-1                                                 -2        -1         0        +1        +2


TIMSS Regression Diagnostics
UNweighted
1999 science difference ON IAT

Obs cookd iat_mean iat_n BGsciDIFF99 countrycitzn
1 . 0.40781 8194 . AU
2 . 0.39817 1502 . NO
3 . 0.39784 55 . SI
4 . 0.39527 15471 . UK
5 . 0.44593 5649 . SE
6 0.00009 0.44178 425 17 TW
7 0.00013 0.49977 69 21 SK
8 0.00018 0.45299 1286 18 BE
9 0.00042 0.42598 210 14 BG
10 0.00045 0.36694 322 10 MY
11 0.00067 0.44371 924 15 IL
12 0.00073 0.48889 106 21 LT
13 0.00080 0.44558 457 15 HK
14 0.00105 0.36790 2476 13 JP
15 0.00255 0.46123 58 15 LV
16 0.00547 0.41825 104 10 CY
17 0.00605 0.50838 3110 18 NL
18 0.00669 0.43354 317 21 RU
19 0.00816 0.42425 1449 21 KR
20 0.00868 0.39549 1164 19 IT
21 0.00959 0.50682 2559 25 HU
22 0.01008 0.39061 849 19 ZA
23 0.01586 0.37570 248306 19 US
24 0.01598 0.42329 1349 7 NZ
25 0.01956 0.35176 152 17 ID
26 0.02403 0.37852 822 21 SG
27 0.02864 0.38852 163 23 CL
28 0.03298 0.29086 47 0 MK
29 0.03754 0.28221 15 11 MD
30 0.13975 0.51348 489 7 RO
31 0.14047 0.36389 152 31 IR
32 0.16614 0.64834 17 25 TN
33 0.28057 0.30604 541 -12 PH
34 0.73050 0.25671 37 -18 JO


TIMSS Regression Diagnostics
UNweighted
1999 science difference ON IAT

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

Moments
N 29 Sum Weights 29
Mean -0.0587595 Sum Observations -1.7040248
Std Deviation 0.37397162 Variance 0.13985477
Skewness -1.9107746 Kurtosis 5.1180974
Uncorrected SS 4.01606125 Corrected SS 3.91593364
Coeff Variation -636.44478 Std Error Mean 0.06944479

Basic Statistical Measures
Location Variability
Mean -0.05876 Std Deviation 0.37397
Median 0.01554 Variance 0.13985
Mode . Range 1.96537
    Interquartile Range 0.23964

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t -0.84613 Pr > |t| 0.4047
Sign M 1.5 Pr >= |M| 0.7111
Signed Rank S 11.5 Pr >= |S| 0.8085

Quantiles (Definition 5)
Quantile Estimate
100% Max 0.5825233
99% 0.5825233
95% 0.2714123
90% 0.2413373
75% Q3 0.1364466
50% Median 0.0155403
25% Q1 -0.1031902
10% -0.5730169
5% -0.8164509
1% -1.3828470
0% Min -1.3828470

Extreme Observations
Lowest Highest
Value Obs Value Obs
-1.382847 6 0.196469 30
-0.816451 7 0.219665 31
-0.573017 8 0.241337 32
-0.549948 9 0.271412 33
-0.254367 10 0.582523 34

Missing Values
Missing
Value		 Count Percent Of
All Obs Missing Obs
. 5 14.71 100.00 

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
       4 8                        1                0                    0.5+                                      +++++  *      
       2 0247                     4                |                       |                                +++++**  *          
       0 12244133448             11             +-----+                    |                        ******** ***                
      -0 81074433                 8             +--+--+                -0.1+                ** *****+++                         
      -2 5                        1                |                       |               *++++++                              
      -4 75                       2                0                       |           +**++                                    
      -6                                                               -0.7+      +++++                                         
      -8 2                        1                0                       |++++++   *                                          
     -10                                                                   |                                                    
     -12 8                        1                *                   -1.3+     *                                              
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
     Multiply Stem.Leaf by 10**-1                                               -2        -1         0        +1        +2


TIMSS Regression Diagnostics
UNweighted
1999 science difference ON IAT

Obs dffit iat_mean iat_n BGsciDIFF99 countrycitzn
1 . 0.40781 8194 . AU
2 . 0.39817 1502 . NO
3 . 0.39784 55 . SI
4 . 0.39527 15471 . UK
5 . 0.44593 5649 . SE
6 -1.38285 0.25671 37 -18 JO
7 -0.81645 0.30604 541 -12 PH
8 -0.57302 0.64834 17 25 TN
9 -0.54995 0.51348 489 7 RO
10 -0.25437 0.29086 47 0 MK
11 -0.17841 0.42329 1349 7 NZ
12 -0.10821 0.50838 3110 18 NL
13 -0.10319 0.41825 104 10 CY
14 -0.07025 0.46123 58 15 LV
15 -0.03924 0.44558 457 15 HK
16 -0.03590 0.44371 924 15 IL
17 -0.02951 0.36694 322 10 MY
18 -0.02861 0.42598 210 14 BG
19 0.01284 0.44178 425 17 TW
20 0.01554 0.49977 69 21 SK
21 0.01855 0.45299 1286 18 BE
22 0.03740 0.48889 106 21 LT
23 0.04490 0.36790 2476 13 JP
24 0.11423 0.43354 317 21 RU
25 0.12642 0.42425 1449 21 KR
26 0.13042 0.39549 1164 19 IT
27 0.13645 0.50682 2559 25 HU
28 0.14064 0.39061 849 19 ZA
29 0.17712 0.37570 248306 19 US
30 0.19647 0.35176 152 17 ID
31 0.21966 0.37852 822 21 SG
32 0.24134 0.38852 163 23 CL
33 0.27141 0.28221 15 11 MD
34 0.58252 0.36389 152 31 IR