SAS Output

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