TIMSS Regression Diagnostics
UNweighted
1999 math difference ON IAT

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

Moments
N 29 Sum Weights 29
Mean 0.01986065 Sum Observations 0.57595899
Std Deviation 1.08436531 Variance 1.17584813
Skewness 0.7393523 Kurtosis 1.3124269
Uncorrected SS 32.9351866 Corrected SS 32.9237477
Coeff Variation 5459.8669 Std Error Mean 0.20136158

Basic Statistical Measures
Location Variability
Mean 0.01986 Std Deviation 1.08437
Median -0.06593 Variance 1.17585
Mode . Range 5.09404
    Interquartile Range 1.11541

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 0.098632 Pr > |t| 0.9221
Sign M -0.5 Pr >= |M| 1.0000
Signed Rank S -9.5 Pr >= |S| 0.8414

Quantiles (Definition 5)
Quantile Estimate
100% Max 3.1174263
99% 3.1174263
95% 1.8870519
90% 1.6600026
75% Q3 0.5680125
50% Median -0.0659306
25% Q1 -0.5473993
10% -1.4822347
5% -1.5382316
1% -1.9766091
0% Min -1.9766091

Extreme Observations
Lowest Highest
Value Obs Value Obs
-1.97661 6 0.758282 30
-1.53823 7 1.281065 31
-1.48223 8 1.660003 32
-1.09528 9 1.887052 33
-1.06698 10 3.117426 34

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

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
       3 1                        1                0                   3.25+                                             *      
       2                                                                   |                                                +++ 
       2                                                                   |                                            ++++    
       1 79                       2                |                       |                                      *++*++        
       1 3                        1                |                       |                                   ++*+             
       0 56678                    5             +-----+                    |                              +*+***                
       0 11123                    5             |  +  |                    |                         +*****                     
      -0 443311                   6             *-----*                    |                     *****                          
      -0 8755                     4             +-----+                    |                **+**                               
      -1 11                       2                |                       |           +**+*                                    
      -1 55                       2                |                       |     * ++*+                                         
      -2 0                        1                |                  -2.25+  +++++                                             
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
                                                                                -2        -1         0        +1        +2


TIMSS Regression Diagnostics
UNweighted
1999 math difference ON IAT

Obs resid iat_mean iat_n BGmathDIFF99 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 -1.97661 0.30604 541 -15 PH
7 -1.53823 0.51348 489 -5 RO
8 -1.48223 0.42329 1349 -8 NZ
9 -1.09528 0.45299 1286 -4 BE
10 -1.06698 0.41825 104 -5 CY
11 -0.80967 0.44558 457 -2 HK
12 -0.72764 0.36694 322 -4 MY
13 -0.54740 0.25671 37 -6 JO
14 -0.51276 0.43354 317 0 RU
15 -0.38424 0.48889 106 3 LT
16 -0.36051 0.42598 210 1 BG
17 -0.34670 0.50838 3110 4 NL
18 -0.30909 0.49977 69 4 SK
19 -0.09457 0.50682 2559 6 HU
20 -0.06593 0.44178 425 4 TW
21 0.07322 0.37852 822 3 SG
22 0.09423 0.46123 58 6 LV
23 0.12518 0.42425 1449 5 KR
24 0.20083 0.29086 47 1 MK
25 0.30552 0.35176 152 4 ID
26 0.49305 0.28221 15 3 MD
27 0.56801 0.37570 248306 7 US
28 0.60177 0.36790 2476 7 JP
29 0.72817 0.39549 1164 9 IT
30 0.75828 0.38852 163 9 CL
31 1.28106 0.44371 924 15 IL
32 1.66000 0.39061 849 16 ZA
33 1.88705 0.64834 17 24 TN
34 3.11743 0.36389 152 24 IR


TIMSS Regression Diagnostics
UNweighted
1999 math 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 math 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 math difference ON IAT

Obs lever iat_mean iat_n BGmathDIFF99 countrycitzn
1 0.03452 0.41825 104 -5 CY
2 0.03480 0.42329 1349 -8 NZ
3 0.03481 0.40781 8194 . AU
4 0.03489 0.42425 1449 5 KR
5 0.03506 0.42598 210 1 BG
6 0.03611 0.39817 1502 . NO
7 0.03617 0.39784 55 . SI
8 0.03622 0.43354 317 0 RU
9 0.03665 0.39549 1164 9 IT
10 0.03670 0.39527 15471 . UK
11 0.03783 0.39061 849 16 ZA
12 0.03817 0.44178 425 4 TW
13 0.03841 0.38852 163 9 CL
14 0.03873 0.44371 924 15 IL
15 0.03932 0.44558 457 -2 HK
16 0.03943 0.44593 5649 . SE
17 0.04185 0.37852 822 3 SG
18 0.04200 0.45299 1286 -4 BE
19 0.04302 0.37570 248306 7 US
20 0.04567 0.46123 58 6 LV
21 0.04668 0.36790 2476 7 JP
22 0.04718 0.36694 322 -4 MY
23 0.04882 0.36389 152 24 IR
24 0.05634 0.35176 152 4 ID
25 0.06334 0.48889 106 3 LT
26 0.07254 0.49977 69 4 SK
27 0.07918 0.50682 2559 6 HU
28 0.08073 0.50838 3110 4 NL
29 0.08595 0.51348 489 -5 RO
30 0.09888 0.30604 541 -15 PH
31 0.11797 0.29086 47 1 MK
32 0.12995 0.28221 15 3 MD
33 0.16995 0.25671 37 -6 JO
34 0.32536 0.64834 17 24 TN


TIMSS Regression Diagnostics
UNweighted
1999 math difference ON IAT

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

Moments
N 29 Sum Weights 29
Mean 0.05462079 Sum Observations 1.58400279
Std Deviation 0.14894364 Variance 0.02218421
Skewness 4.5432939 Kurtosis 22.2174421
Uncorrected SS 0.70767733 Corrected SS 0.62115786
Coeff Variation 272.686746 Std Error Mean 0.02765814

Basic Statistical Measures
Location Variability
Mean 0.054621 Std Deviation 0.14894
Median 0.010263 Variance 0.02218
Mode . Range 0.78420
    Interquartile Range 0.02861

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 1.974854 Pr > |t| 0.0582
Sign M 14.5 Pr >= |M| <.0001
Signed Rank S 217.5 Pr >= |S| <.0001

Quantiles (Definition 5)
Quantile Estimate
100% Max 7.84292E-01
99% 7.84292E-01
95% 1.93531E-01
90% 1.88509E-01
75% Q3 3.14923E-02
50% Median 1.02634E-02
25% Q1 2.88304E-03
10% 2.20592E-04
5% 1.21577E-04
1% 8.95608E-05
0% Min 8.95608E-05

Extreme Observations
Lowest Highest
Value Obs Value Obs
8.95608E-05 6 0.0508576 30
1.21577E-04 7 0.1058891 31
2.20592E-04 8 0.1885093 32
2.93963E-04 9 0.1935308 33
3.99213E-04 10 0.7842917 34

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

   Stem Leaf                          #           Boxplot                                 Normal Probability Plot               
      7 8                             1              *                 0.75+                                             *      
      6                                                                    |                                                    
      5                                                                    |                                                    
      4                                                                    |                                                 ++ 
      3                                                                    |                                          +++++++   
      2                                                                    |                                   +++++++          
      1 199                           3              0                     |                             ++++++  **  *          
      0 0000000001111111112233345    25           +--+--+              0.05+     *   *  ** *** ************* ***                
        ----+----+----+----+----+                                           +----+----+----+----+----+----+----+----+----+----+ 
    Multiply Stem.Leaf by 10**-1                                                -2        -1         0        +1        +2


TIMSS Regression Diagnostics
UNweighted
1999 math difference ON IAT

Obs cookd iat_mean iat_n BGmathDIFF99 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 4 TW
7 0.00012 0.37852 822 3 SG
8 0.00022 0.46123 58 6 LV
9 0.00029 0.42425 1449 5 KR
10 0.00040 0.50682 2559 6 HU
11 0.00244 0.42598 210 1 BG
12 0.00280 0.29086 47 1 MK
13 0.00288 0.35176 152 4 ID
14 0.00387 0.49977 69 4 SK
15 0.00508 0.43354 317 0 RU
16 0.00515 0.48889 106 3 LT
17 0.00546 0.50838 3110 4 NL
18 0.00744 0.37570 248306 7 US
19 0.00908 0.36790 2476 7 JP
20 0.01026 0.39549 1164 9 IT
21 0.01167 0.38852 163 9 CL
22 0.01334 0.36694 322 -4 MY
23 0.01359 0.44558 457 -2 HK
24 0.01868 0.28221 15 3 MD
25 0.02025 0.41825 104 -5 CY
26 0.02610 0.45299 1286 -4 BE
27 0.03149 0.25671 37 -6 JO
28 0.03230 0.44371 924 15 IL
29 0.03793 0.42329 1349 -8 NZ
30 0.05086 0.39061 849 16 ZA
31 0.10589 0.51348 489 -5 RO
32 0.18851 0.36389 152 24 IR
33 0.19353 0.30604 541 -15 PH
34 0.78429 0.64834 17 24 TN


TIMSS Regression Diagnostics
UNweighted
1999 math difference ON IAT

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

Moments
N 29 Sum Weights 29
Mean 0.02199975 Sum Observations 0.63799266
Std Deviation 0.35264893 Variance 0.12436127
Skewness 1.73834978 Kurtosis 6.04120343
Uncorrected SS 3.49615113 Corrected SS 3.48211546
Coeff Variation 1602.9681 Std Error Mean 0.06548526

Basic Statistical Measures
Location Variability
Mean 0.02200 Std Deviation 0.35265
Median -0.01313 Variance 0.12436
Mode . Range 1.96526
    Interquartile Range 0.29507

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 0.33595 Pr > |t| 0.7394
Sign M -0.5 Pr >= |M| 1.0000
Signed Rank S -11.5 Pr >= |S| 0.8085

Quantiles (Definition 5)
Quantile Estimate
100% Max 1.3104825
99% 1.3104825
95% 0.7062283
90% 0.3291335
75% Q3 0.1331592
50% Median -0.0131345
25% Q1 -0.1619099
10% -0.2814597
5% -0.4716925
1% -0.6547786
0% Min -0.6547786

Extreme Observations
Lowest Highest
Value Obs Value Obs
-0.654779 6 0.190544 30
-0.471693 7 0.257153 31
-0.281460 8 0.329134 32
-0.247691 9 0.706228 33
-0.229335 10 1.310482 34

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

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
      12 1                        1                *                    1.3+                                             *      
      10                                                                   |                                                    
       8                                                                   |                                                +++ 
       6 1                        1                0                       |                                         *++++++    
       4                                                                   |                                    ++++++          
       2 63                       2                |                    0.3+                               +++++ **             
       0 2227723459              10             +--+--+                    |                         +****** ***                
      -0 660009731                9             *-----*                    |                 * *******                          
      -2 8530                     4                |                       |            **+**++                                 
      -4 7                        1                |                       |        +*++++                                      
      -6 5                        1                0                   -0.7+  +++*++                                            
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
     Multiply Stem.Leaf by 10**-1                                               -2        -1         0        +1        +2


TIMSS Regression Diagnostics
UNweighted
1999 math difference ON IAT

Obs dffit iat_mean iat_n BGmathDIFF99 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 -0.65478 0.30604 541 -15 PH
7 -0.47169 0.51348 489 -5 RO
8 -0.28146 0.42329 1349 -8 NZ
9 -0.24769 0.25671 37 -6 JO
10 -0.22934 0.45299 1286 -4 BE
11 -0.20176 0.41825 104 -5 CY
12 -0.16380 0.44558 457 -2 HK
13 -0.16191 0.36694 322 -4 MY
14 -0.10274 0.50838 3110 4 NL
15 -0.09992 0.48889 106 3 LT
16 -0.09940 0.43354 317 0 RU
17 -0.08645 0.49977 69 4 SK
18 -0.06872 0.42598 210 1 BG
19 -0.02773 0.50682 2559 6 HU
20 -0.01313 0.44178 425 4 TW
21 0.01530 0.37852 822 3 SG
22 0.02062 0.46123 58 6 LV
23 0.02380 0.42425 1449 5 KR
24 0.07345 0.29086 47 1 MK
25 0.07465 0.35176 152 4 ID
26 0.12042 0.37570 248306 7 US
27 0.13316 0.36790 2476 7 JP
28 0.14202 0.39549 1164 9 IT
29 0.15155 0.38852 163 9 CL
30 0.19054 0.28221 15 3 MD
31 0.25715 0.44371 924 15 IL
32 0.32913 0.39061 849 16 ZA
33 0.70623 0.36389 152 24 IR
34 1.31048 0.64834 17 24 TN