SAS Output

TIMSS Regression Diagnostics

Weighted

2003 science difference ON IAT

The UNIVARIATE Procedure

Variable: resid (Studentized Residual without Current Obs)

Moments
N	34	Sum Weights	34
Mean	-0.032913	Sum Observations	-1.1190419
Std Deviation	1.05472776	Variance	1.11245065
Skewness	0.38010249	Kurtosis	0.78651178
Uncorrected SS	36.7477024	Corrected SS	36.7108714
Coeff Variation	-3204.5934	Std Error Mean	0.18088432

Basic Statistical Measures
Location		Variability
Mean	-0.03291	Std Deviation	1.05473
Median	-0.04062	Variance	1.11245
Mode	.	Range	5.24066
		Interquartile Range	1.28254

Tests for Location: Mu0=0
Test	Statistic		p Value
Student's t	t	-0.18196	Pr > \|t\|	0.8567
Sign	M	0	Pr >= \|M\|	1.0000
Signed Rank	S	-19.5	Pr >= \|S\|	0.7442

Quantiles (Definition 5)
Quantile	Estimate
100% Max	2.868216
99%	2.868216
95%	1.684515
90%	1.373914
75% Q3	0.530992
50% Median	-0.040618
25% Q1	-0.751548
10%	-1.202674
5%	-1.769532
1%	-2.372449
0% Min	-2.372449

Extreme Observations
Lowest		Highest
Value	Obs	Value	Obs
-2.37245	1	1.24763	30
-1.76953	2	1.37391	31
-1.33514	3	1.40290	32
-1.20267	4	1.68451	33
-1.06348	5	2.86822	34

TIMSS Regression Diagnostics

Weighted

2003 science difference ON IAT

The UNIVARIATE Procedure

Variable: resid (Studentized Residual without Current Obs)

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
       2 9                        1                0                   2.75+                                              *   + 
       2                                                                   |                                             +++++  
       1 7                        1                |                       |                                        ++*++       
       1 244                      3                |                       |                                   +**+*            
       0 55789                    5             +-----+                    |                               *****                
       0 0001344                  7             |     |                0.25+                         ******                     
      -0 3321                     4             *--+--*                    |                     +****                          
      -0 98887665                 8             +-----+                    |               *******                              
      -1 321                      3                |                       |           *+**+                                    
      -1 8                        1                |                       |       +*+++                                        
      -2 4                        1                |                  -2.25+  ++*++                                             
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
                                                                                -2        -1         0        +1        +2

TIMSS Regression Diagnostics

Weighted

2003 science difference ON IAT

Obs	resid	iat_mean	iat_n	BGsciDIFF03	countrycitzn
1	-2.37245	0.25671	37	-27	JO
2	-1.76953	0.41825	104	-3	CY
3	-1.33514	0.48889	106	6	LT
4	-1.20267	0.44178	425	1	TW
5	-1.06348	0.46123	58	4	LV
6	-0.86849	0.51348	489	9	RO
7	-0.82568	0.29086	47	-9	MK
8	-0.79820	0.64834	17	24	TN
9	-0.75155	0.28221	15	-9	MD
10	-0.65528	0.44593	5649	7	SE
11	-0.64611	0.36389	152	-1	IR
12	-0.59574	0.30604	541	-6	PH
13	-0.48727	0.39061	849	2	ZA
14	-0.33484	0.37852	822	3	SG
15	-0.31201	0.44558	457	9	HK
16	-0.24512	0.50838	3110	15	NL
17	-0.09949	0.39784	55	7	SI
18	0.01826	0.42329	1349	10	NZ
19	0.03556	0.43354	317	11	RU
20	0.03976	0.39817	1502	8	NO
21	0.08756	0.49977	69	17	SK
22	0.31496	0.39549	1164	10	IT
23	0.36252	0.42425	1449	12	KR
24	0.44932	0.39527	15471	11	UK
25	0.53022	0.36694	322	10	MY
26	0.53099	0.36790	2476	9	JP
27	0.65256	0.42598	210	17	BG
28	0.75473	0.35176	152	11	ID
29	0.89040	0.44371	924	19	IL
30	1.24763	0.50682	2559	26	HU
31	1.37391	0.40781	8194	20	AU
32	1.40290	0.45299	1286	23	BE
33	1.68451	0.37570	248306	17	US
34	2.86822	0.38852	163	29	CL

TIMSS Regression Diagnostics

Weighted

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	0.06501955	Variance	0.00422754
Skewness	4.78100363	Kurtosis	25.5019279
Uncorrected SS	0.25715595	Corrected SS	0.13950889
Coeff Variation	110.53324	Std Error Mean	0.01115076

Basic Statistical Measures
Location		Variability
Mean	0.058824	Std Deviation	0.06502
Median	0.041395	Variance	0.00423
Mode	.	Range	0.38560
		Interquartile Range	0.02716

Tests for Location: Mu0=0
Test	Statistic		p Value
Student's t	t	5.275293	Pr > \|t\|	<.0001
Sign	M	17	Pr >= \|M\|	<.0001
Signed Rank	S	297.5	Pr >= \|S\|	<.0001

Quantiles (Definition 5)
Quantile	Estimate
100% Max	0.4036205
99%	0.4036205
95%	0.1073108
90%	0.0916423
75% Q3	0.0598097
50% Median	0.0413947
25% Q1	0.0326474
10%	0.0255753
5%	0.0215699
1%	0.0180218
0% Min	0.0180218

Extreme Observations
Lowest		Highest
Value	Obs	Value	Obs
0.0180218	1	0.0813233	30
0.0215699	2	0.0916423	31
0.0222327	3	0.1012658	32
0.0255753	4	0.1073108	33
0.0283480	5	0.4036205	34

TIMSS Regression Diagnostics

Weighted

2003 science difference ON IAT

The UNIVARIATE Procedure

Variable: lever (Leverage)

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
       4 0                        1                *                  0.425+                                              *     
       3                                                                   |                                                    
       3                                                                   |                                                    
       2                                                                   |                                                    
       2                                                              0.225+                                               ++++ 
       1                                                                   |                                        +++++++     
       1 01                       2                0                       |                                +++++++*  *         
       0 555666677889            12             +--+--+                    |                        ++++**********              
       0 2223333333444444444     19             *-----*               0.025+    *   *  * ****************                       
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
     Multiply Stem.Leaf by 10**-1                                               -2        -1         0        +1        +2

TIMSS Regression Diagnostics

Weighted

2003 science difference ON IAT

Obs	lever	iat_mean	iat_n	BGsciDIFF03	countrycitzn
1	0.01802	0.42598	210	17	BG
2	0.02157	0.42329	1349	10	NZ
3	0.02223	0.39061	849	2	ZA
4	0.02558	0.43354	317	11	RU
5	0.02835	0.44178	425	1	TW
6	0.02871	0.40781	8194	20	AU
7	0.03054	0.44558	457	9	HK
8	0.03087	0.44371	924	19	IL
9	0.03265	0.37852	822	3	SG
10	0.03299	0.38852	163	29	CL
11	0.03568	0.46123	58	4	LV
12	0.03643	0.39549	1164	10	IT
13	0.03733	0.39527	15471	11	UK
14	0.03751	0.36694	322	10	MY
15	0.03757	0.41825	104	-3	CY
16	0.03889	0.45299	1286	23	BE
17	0.04001	0.36389	152	-1	IR
18	0.04278	0.44593	5649	7	SE
19	0.04303	0.35176	152	11	ID
20	0.04554	0.39784	55	7	SI
21	0.04625	0.39817	1502	8	NO
22	0.05309	0.49977	69	17	SK
23	0.05524	0.51348	489	9	RO
24	0.05854	0.37570	248306	17	US
25	0.05899	0.42425	1449	12	KR
26	0.05981	0.36790	2476	9	JP
27	0.06818	0.30604	541	-6	PH
28	0.07140	0.48889	106	6	LT
29	0.07704	0.50838	3110	15	NL
30	0.08132	0.50682	2559	26	HU
31	0.09164	0.29086	47	-9	MK
32	0.10127	0.28221	15	-9	MD
33	0.10731	0.25671	37	-27	JO
34	0.40362	0.64834	17	24	TN

TIMSS Regression Diagnostics

Weighted

2003 science difference ON IAT

The UNIVARIATE Procedure

Variable: cookd (Cook's D Influence Statistic)

Moments
N	34	Sum Weights	34
Mean	0.03517653	Sum Observations	1.19600197
Std Deviation	0.06323404	Variance	0.00399854
Skewness	3.03746011	Kurtosis	9.85255885
Uncorrected SS	0.17402313	Corrected SS	0.13195193
Coeff Variation	179.762013	Std Error Mean	0.01084455

Basic Statistical Measures
Location		Variability
Mean	0.035177	Std Deviation	0.06323
Median	0.011239	Variance	0.00400
Mode	.	Range	0.29555
		Interquartile Range	0.03215

Tests for Location: Mu0=0
Test	Statistic		p Value
Student's t	t	3.243706	Pr > \|t\|	0.0027
Sign	M	17	Pr >= \|M\|	<.0001
Signed Rank	S	297.5	Pr >= \|S\|	<.0001

Quantiles (Definition 5)
Quantile	Estimate
100% Max	2.95554E-01
99%	2.95554E-01
95%	2.18072E-01
90%	8.34241E-02
75% Q3	3.47357E-02
50% Median	1.12394E-02
25% Q1	2.58368E-03
10%	2.21804E-04
5%	1.71306E-05
1%	3.79206E-06
0% Min	3.79206E-06

Extreme Observations
Lowest		Highest
Value	Obs	Value	Obs
3.79206E-06	1	0.0677183	30
1.71306E-05	2	0.0834241	31
3.95592E-05	3	0.1144700	32
2.21804E-04	4	0.2180716	33
2.43695E-04	5	0.2955543	34

TIMSS Regression Diagnostics

Weighted

2003 science difference ON IAT

The UNIVARIATE Procedure

Variable: cookd (Cook's D Influence Statistic)

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
      28 6                        1                *                   0.29+                                              *     
      26                                                                   |                                                    
      24                                                                   |                                                    
      22                                                                   |                                                    
      20 8                        1                *                       |                                          *         
      18                                                                   |                                                +++ 
      16                                                                   |                                             +++    
      14                                                               0.15+                                          +++       
      12                                                                   |                                       +++          
      10 4                        1                0                       |                                    +++*            
       8 3                        1                0                       |                                 +++ *              
       6 78                       2                |                       |                             ++++  **               
       4 7                        1                |                       |                          +++     *                 
       2 1127259                  7             +--+--+                    |                       +++  ******                  
       0 00000222334446990333    20             *-----*                0.01+    *   *  * ***************                        
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
     Multiply Stem.Leaf by 10**-2                                               -2        -1         0        +1        +2

TIMSS Regression Diagnostics

Weighted

2003 science difference ON IAT

Obs	cookd	iat_mean	iat_n	BGsciDIFF03	countrycitzn
1	0.00000	0.42329	1349	10	NZ
2	0.00002	0.43354	317	11	RU
3	0.00004	0.39817	1502	8	NO
4	0.00022	0.49977	69	17	SK
5	0.00024	0.39784	55	7	SI
6	0.00158	0.44558	457	9	HK
7	0.00193	0.39549	1164	10	IT
8	0.00195	0.37852	822	3	SG
9	0.00258	0.50838	3110	15	NL
10	0.00277	0.39061	849	2	ZA
11	0.00398	0.42598	210	17	BG
12	0.00401	0.39527	15471	11	UK
13	0.00423	0.42425	1449	12	KR
14	0.00560	0.36694	322	10	MY
15	0.00886	0.36389	152	-1	IR
16	0.00917	0.36790	2476	9	JP
17	0.00977	0.44593	5649	7	SE
18	0.01271	0.44371	924	19	IL
19	0.01298	0.35176	152	11	ID
20	0.01325	0.30604	541	-6	PH
21	0.02081	0.44178	425	1	TW
22	0.02084	0.46123	58	4	LV
23	0.02222	0.51348	489	9	RO
24	0.02714	0.40781	8194	20	AU
25	0.03226	0.28221	15	-9	MD
26	0.03474	0.29086	47	-9	MK
27	0.03865	0.45299	1286	23	BE
28	0.05730	0.41825	104	-3	CY
29	0.06690	0.48889	106	6	LT
30	0.06772	0.50682	2559	26	HU
31	0.08342	0.37570	248306	17	US
32	0.11447	0.38852	163	29	CL
33	0.21807	0.64834	17	24	TN
34	0.29555	0.25671	37	-27	JO

TIMSS Regression Diagnostics

Weighted

2003 science difference ON IAT

The UNIVARIATE Procedure

Variable: dffit (Standard Influence on Predicted Value)

Moments
N	34	Sum Weights	34
Mean	-0.037773	Sum Observations	-1.2842815
Std Deviation	0.27511418	Variance	0.07568781
Skewness	-0.6116636	Kurtosis	1.47969038
Uncorrected SS	2.54620886	Corrected SS	2.49769772
Coeff Variation	-728.33581	Std Error Mean	0.04718169

Basic Statistical Measures
Location		Variability
Mean	-0.03777	Std Deviation	0.27511
Median	-0.00951	Variance	0.07569
Mode	.	Range	1.35232
		Interquartile Range	0.30925

Tests for Location: Mu0=0
Test	Statistic		p Value
Student's t	t	-0.80059	Pr > \|t\|	0.4291
Sign	M	0	Pr >= \|M\|	1.0000
Signed Rank	S	-33.5	Pr >= \|S\|	0.5746

Quantiles (Definition 5)
Quantile	Estimate
100% Max	0.52975673
99%	0.52975673
95%	0.42003510
90%	0.28221664
75% Q3	0.10467075
50% Median	-0.00951107
25% Q1	-0.20457604
10%	-0.34960591
5%	-0.65665632
1%	-0.82256135
0% Min	-0.82256135

Extreme Observations
Lowest		Highest
Value	Obs	Value	Obs
-0.822561	1	0.236194	30
-0.656656	2	0.282217	31
-0.370225	3	0.371204	32
-0.349606	4	0.420035	33
-0.262260	5	0.529757	34

TIMSS Regression Diagnostics

Weighted

2003 science difference ON IAT

The UNIVARIATE Procedure

Variable: dffit (Standard Influence on Predicted Value)

 5 3                        1 4 2                        1 3 7                        1 2 48                       2 1 0366                     4 0 01126999                 8 -0 77662                    5 -1 643                      3 -2 65110                    5 -3 75                       2 -4 -5 -6 6                        1 -7 -8 2                        1 ----+----+----+----+ Multiply Stem.Leaf by 10**-1

Stem Leaf # Boxplot Normal Probability Plot | 0.55+ +*++ | | +*++ | | +*+ | | ++** +-----+ | +**** | | | ******* *--+--* | ****+ | | -0.15+ ***+ +-----+ | *****+ | | *+*++ | | +++ | | ++++ | | ++++ * |+ 0 -0.85+ * +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 always;">

TIMSS Regression Diagnostics

Weighted

2003 science difference ON IAT

Obs	dffit	iat_mean	iat_n	BGsciDIFF03	countrycitzn
1	-0.82256	0.25671	37	-27	JO
2	-0.65666	0.64834	17	24	TN
3	-0.37022	0.48889	106	6	LT
4	-0.34961	0.41825	104	-3	CY
5	-0.26226	0.29086	47	-9	MK
6	-0.25227	0.28221	15	-9	MD
7	-0.21001	0.51348	489	9	RO
8	-0.20543	0.44178	425	1	TW
9	-0.20458	0.46123	58	4	LV
10	-0.16115	0.30604	541	-6	PH
11	-0.13853	0.44593	5649	7	SE
12	-0.13190	0.36389	152	-1	IR
13	-0.07348	0.39061	849	2	ZA
14	-0.07082	0.50838	3110	15	NL
15	-0.06151	0.37852	822	3	SG
16	-0.05538	0.44558	457	9	HK
17	-0.02173	0.39784	55	7	SI
18	0.00271	0.42329	1349	10	NZ
19	0.00576	0.43354	317	11	RU
20	0.00875	0.39817	1502	8	NO
21	0.02073	0.49977	69	17	SK
22	0.06125	0.39549	1164	10	IT
23	0.08840	0.42598	210	17	BG
24	0.08849	0.39527	15471	11	UK
25	0.09076	0.42425	1449	12	KR
26	0.10467	0.36694	322	10	MY
27	0.13393	0.36790	2476	9	JP
28	0.15891	0.44371	924	19	IL
29	0.16005	0.35176	152	11	ID
30	0.23619	0.40781	8194	20	AU
31	0.28222	0.45299	1286	23	BE
32	0.37120	0.50682	2559	26	HU
33	0.42004	0.37570	248306	17	US
34	0.52976	0.38852	163	29	CL