TIMSS Regression Diagnostics
Weighted
1999 math difference ON IAT

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

Moments
N 29 Sum Weights 29
Mean -0.0020114 Sum Observations -0.0583319
Std Deviation 1.10007125 Variance 1.21015676
Skewness 0.77786061 Kurtosis 0.97943157
Uncorrected SS 33.8845067 Corrected SS 33.8843893
Coeff Variation -54690.644 Std Error Mean 0.2042781

Basic Statistical Measures
Location Variability
Mean -0.00201 Std Deviation 1.10007
Median -0.16103 Variance 1.21016
Mode . Range 4.73448
    Interquartile Range 1.17987

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t -0.00985 Pr > |t| 0.9922
Sign M -1.5 Pr >= |M| 0.7111
Signed Rank S -17.5 Pr >= |S| 0.7121

Quantiles (Definition 5)
Quantile Estimate
100% Max 2.973743
99% 2.973743
95% 2.338211
90% 1.372384
75% Q3 0.654509
50% Median -0.161033
25% Q1 -0.525358
10% -1.502222
5% -1.617121
1% -1.760735
0% Min -1.760735

Extreme Observations
Lowest Highest
Value Obs Value Obs
-1.76074 6 0.94508 30
-1.61712 7 1.21104 31
-1.50222 8 1.37238 32
-1.41605 9 2.33821 33
-1.04034 10 2.97374 34

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

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
       3 0                        1                0                   3.25+                                                    
       2                                                                   |                                             *  +++ 
       2 3                        1                |                       |                                         *  ++++    
       1                                           |                       |                                       +++++        
       1 24                       2                |                       |                                   ++**             
       0 57779                    5             +-----+                0.75+                              +*+***                
       0 0123                     4             |     |                    |                          +****                     
      -0 444320                   6             *--+--*                    |                    *******                         
      -0 97555                    5             +-----+                    |                **+*+                               
      -1 40                       2                |                       |            +*+*                                    
      -1 865                      3                |                  -1.75+     * ++*++*                                       
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
                                                                                -2        -1         0        +1        +2


TIMSS Regression Diagnostics
Weighted
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 -1.76074 0.41825 104 -5 CY
7 -1.61712 0.30604 541 -15 PH
8 -1.50222 0.51348 489 -5 RO
9 -1.41605 0.42329 1349 -8 NZ
10 -1.04034 0.45299 1286 -4 BE
11 -0.85298 0.44558 457 -2 HK
12 -0.69017 0.36694 322 -4 MY
13 -0.52536 0.43354 317 0 RU
14 -0.49325 0.48889 106 3 LT
15 -0.46471 0.50838 3110 4 NL
16 -0.44666 0.49977 69 4 SK
17 -0.37785 0.25671 37 -6 JO
18 -0.36944 0.42598 210 1 BG
19 -0.28303 0.50682 2559 6 HU
20 -0.16103 0.44178 425 4 TW
21 -0.02021 0.46123 58 6 LV
22 0.03513 0.37852 822 3 SG
23 0.06851 0.42425 1449 5 KR
24 0.22658 0.29086 47 1 MK
25 0.27045 0.35176 152 4 ID
26 0.49378 0.28221 15 3 MD
27 0.65451 0.38852 163 9 CL
28 0.66058 0.37570 248306 7 US
29 0.71282 0.39549 1164 9 IT
30 0.94508 0.36790 2476 7 JP
31 1.21104 0.44371 924 15 IL
32 1.37238 0.39061 849 16 ZA
33 2.33821 0.64834 17 24 TN
34 2.97374 0.36389 152 24 IR


TIMSS Regression Diagnostics
Weighted
1999 math difference ON IAT

The UNIVARIATE Procedure
Variable: lever (Leverage)

Moments
N 34 Sum Weights 34
Mean 0.05882353 Sum Observations 2
Std Deviation 0.08114059 Variance 0.0065838
Skewness 4.52507539 Kurtosis 23.7065962
Uncorrected SS 0.33491232 Corrected SS 0.21726526
Coeff Variation 137.939006 Std Error Mean 0.0139155

Basic Statistical Measures
Location Variability
Mean 0.058824 Std Deviation 0.08114
Median 0.040269 Variance 0.00658
Mode 0.000000 Range 0.48210
    Interquartile Range 0.03774

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 4.227196 Pr > |t| 0.0002
Sign M 14.5 Pr >= |M| <.0001
Signed Rank S 217.5 Pr >= |S| <.0001

Quantiles (Definition 5)
Quantile Estimate
100% Max 0.4820965
99% 0.4820965
95% 0.1207056
90% 0.1027259
75% Q3 0.0658875
50% Median 0.0402689
25% Q1 0.0281445
10% 0.0000000
5% 0.0000000
1% 0.0000000
0% Min 0.0000000

Extreme Observations
Lowest Highest
Value Obs Value Obs
0 5 0.093455 30
0 4 0.102726 31
0 3 0.113547 32
0 2 0.120706 33
0 1 0.482097 34


TIMSS Regression Diagnostics
Weighted
1999 math difference ON IAT

The UNIVARIATE Procedure
Variable: lever (Leverage)

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
       4 8                        1                *                  0.475+                                              *     
       4                                                                   |                                                    
       3                                                                   |                                                    
       3                                                              0.325+                                                    
       2                                                                   |                                                 ++ 
       2                                                                   |                                           ++++++   
       1                                                              0.175+                                     ++++++         
       1 012                      3                |                       |                               ++++++* *  *         
       0 555666677789            12             +--+--+                    |                        ++++*********               
       0 000002333333334444      18             *-----*               0.025+    *   *  * ****************                       
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
     Multiply Stem.Leaf by 10**-1                                               -2        -1         0        +1        +2


TIMSS Regression Diagnostics
Weighted
1999 math difference ON IAT

Obs lever iat_mean iat_n BGmathDIFF99 countrycitzn
1 0.00000 0.39784 55 . SI
2 0.00000 0.39817 1502 . NO
3 0.00000 0.44593 5649 . SE
4 0.00000 0.40781 8194 . AU
5 0.00000 0.39527 15471 . UK
6 0.02323 0.42598 210 1 BG
7 0.02567 0.43354 317 0 RU
8 0.02712 0.42329 1349 -8 NZ
9 0.02814 0.39061 849 16 ZA
10 0.02822 0.45299 1286 -4 BE
11 0.03109 0.44558 457 -2 HK
12 0.03222 0.38852 163 9 CL
13 0.03277 0.37852 822 3 SG
14 0.03451 0.44178 425 4 TW
15 0.03684 0.44371 924 15 IL
16 0.03965 0.39549 1164 9 IT
17 0.04022 0.46123 58 6 LV
18 0.04032 0.36694 322 -4 MY
19 0.04635 0.36389 152 24 IR
20 0.04687 0.35176 152 4 ID
21 0.04779 0.48889 106 3 LT
22 0.05770 0.51348 489 -5 RO
23 0.05776 0.49977 69 4 SK
24 0.05776 0.50838 3110 4 NL
25 0.06324 0.37570 248306 7 US
26 0.06589 0.42425 1449 5 KR
27 0.06980 0.41825 104 -5 CY
28 0.07310 0.30604 541 -15 PH
29 0.08120 0.50682 2559 6 HU
30 0.09345 0.29086 47 1 MK
31 0.10273 0.28221 15 3 MD
32 0.11355 0.36790 2476 7 JP
33 0.12071 0.25671 37 -6 JO
34 0.48210 0.64834 17 24 TN


TIMSS Regression Diagnostics
Weighted
1999 math difference ON IAT

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

Moments
N 29 Sum Weights 29
Mean 0.09960066 Sum Observations 2.88841922
Std Deviation 0.40264606 Variance 0.16212385
Skewness 5.30671712 Kurtosis 28.4013642
Uncorrected SS 4.82715634 Corrected SS 4.53946787
Coeff Variation 404.260426 Std Error Mean 0.0747695

Basic Statistical Measures
Location Variability
Mean 0.099601 Std Deviation 0.40265
Median 0.010205 Variance 0.16212
Mode . Range 2.18336
    Interquartile Range 0.02328

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 1.332103 Pr > |t| 0.1936
Sign M 14.5 Pr >= |M| <.0001
Signed Rank S 217.5 Pr >= |S| <.0001

Quantiles (Definition 5)
Quantile Estimate
100% Max 2.18337E+00
99% 2.18337E+00
95% 1.66524E-01
90% 1.07919E-01
75% Q3 2.69441E-02
50% Median 1.02049E-02
25% Q1 3.66469E-03
10% 1.71862E-04
5% 2.17103E-05
1% 8.88863E-06
0% Min 8.88863E-06

Extreme Observations
Lowest Highest
Value Obs Value Obs
8.88863E-06 6 0.0660176 30
2.17103E-05 7 0.0973059 31
1.71862E-04 8 0.1079187 32
4.80856E-04 9 0.1665245 33
1.67673E-03 10 2.1833719 34

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

   Stem Leaf                             #          Boxplot                                Normal Probability Plot              
     20 8                                1             *                 2.1+                                             *     
     18                                                                     |                                                   
     16                                                                     |                                                   
     14                                                                     |                                                   
     12                                                                     |                                                   
     10                                                                  1.1+                                                +++
      8                                                                     |                                           +++++   
      6                                                                     |                                      +++++        
      4                                                                     |                                 +++++             
      2                                                                     |                            +++++                  
      0 0000000001111111112233367017    28          +--0--+              0.1+     *   *  ** *** ************* *** **  *         
        ----+----+----+----+----+---                                         +----+----+----+----+----+----+----+----+----+----+
    Multiply Stem.Leaf by 10**-1                                                 -2        -1         0        +1        +2


TIMSS Regression Diagnostics
Weighted
1999 math difference ON IAT

Obs cookd 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 0.00001 0.46123 58 6 LV
7 0.00002 0.37852 822 3 SG
8 0.00017 0.42425 1449 5 KR
9 0.00048 0.44178 425 4 TW
10 0.00168 0.42598 210 1 BG
11 0.00186 0.35176 152 4 ID
12 0.00274 0.29086 47 1 MK
13 0.00366 0.50682 2559 6 HU
14 0.00374 0.43354 317 0 RU
15 0.00628 0.48889 106 3 LT
16 0.00630 0.49977 69 4 SK
17 0.00682 0.50838 3110 4 NL
18 0.00728 0.38852 163 9 CL
19 0.01012 0.25671 37 -6 JO
20 0.01020 0.36694 322 -4 MY
21 0.01068 0.39549 1164 9 IT
22 0.01179 0.44558 457 -2 HK
23 0.01436 0.28221 15 3 MD
24 0.01504 0.37570 248306 7 US
25 0.01567 0.45299 1286 -4 BE
26 0.02641 0.39061 849 16 ZA
27 0.02694 0.42329 1349 -8 NZ
28 0.02757 0.44371 924 15 IL
29 0.05743 0.36790 2476 7 JP
30 0.06602 0.51348 489 -5 RO
31 0.09731 0.30604 541 -15 PH
32 0.10792 0.41825 104 -5 CY
33 0.16652 0.36389 152 24 IR
34 2.18337 0.64834 17 24 TN


TIMSS Regression Diagnostics
Weighted
1999 math difference ON IAT

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

Moments
N 29 Sum Weights 29
Mean 0.05955892 Sum Observations 1.72720861
Std Deviation 0.48279886 Variance 0.23309474
Skewness 3.53794273 Kurtosis 15.8880868
Uncorrected SS 6.62952348 Corrected SS 6.52665281
Coeff Variation 810.623972 Std Error Mean 0.0896535

Basic Statistical Measures
Location Variability
Mean 0.05956 Std Deviation 0.48280
Median -0.03045 Variance 0.23309
Mode . Range 2.73825
    Interquartile Range 0.28484

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 0.664323 Pr > |t| 0.5119
Sign M -1.5 Pr >= |M| 0.7111
Signed Rank S -8.5 Pr >= |S| 0.8579

Quantiles (Definition 5)
Quantile Estimate
100% Max 2.255933
99% 2.255933
95% 0.655588
90% 0.338243
75% Q3 0.144845
50% Median -0.030447
25% Q1 -0.139998
10% -0.371726
5% -0.454151
1% -0.482313
0% Min -0.482313

Extreme Observations
Lowest Highest
Value Obs Value Obs
-0.482313 6 0.233546 30
-0.454151 7 0.236847 31
-0.371726 8 0.338243 32
-0.236420 9 0.655588 33
-0.177293 10 2.255933 34

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

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
       2 3                        1                *                   2.25+                                             *      
       1                                                                   |                                                    
       1                                                                   |                                             ++++++ 
       0 7                        1                0                   0.75+                                   ++++++*+++       
       0 00111122223             11             +--+--+                    |                        +++*****+*** **             
      -0 42221111111100          14             *-----*                    |     *   *  **+***+********                         
      -0 55                       2                |                  -0.75+    ++++++++++                                      
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
                                                                                -2        -1         0        +1        +2


TIMSS Regression Diagnostics
Weighted
1999 math difference ON IAT

Obs dffit 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 -0.48231 0.41825 104 -5 CY
7 -0.45415 0.30604 541 -15 PH
8 -0.37173 0.51348 489 -5 RO
9 -0.23642 0.42329 1349 -8 NZ
10 -0.17729 0.45299 1286 -4 BE
11 -0.15281 0.44558 457 -2 HK
12 -0.14147 0.36694 322 -4 MY
13 -0.14000 0.25671 37 -6 JO
14 -0.11506 0.50838 3110 4 NL
15 -0.11059 0.49977 69 4 SK
16 -0.11050 0.48889 106 3 LT
17 -0.08527 0.43354 317 0 RU
18 -0.08414 0.50682 2559 6 HU
19 -0.05698 0.42598 210 1 BG
20 -0.03045 0.44178 425 4 TW
21 -0.00414 0.46123 58 6 LV
22 0.00647 0.37852 822 3 SG
23 0.01819 0.42425 1449 5 KR
24 0.05997 0.35176 152 4 ID
25 0.07275 0.29086 47 1 MK
26 0.11942 0.38852 163 9 CL
27 0.14484 0.39549 1164 9 IT
28 0.16708 0.28221 15 3 MD
29 0.17163 0.37570 248306 7 US
30 0.23355 0.39061 849 16 ZA
31 0.23685 0.44371 924 15 IL
32 0.33824 0.36790 2476 7 JP
33 0.65559 0.36389 152 24 IR
34 2.25593 0.64834 17 24 TN