SAS Output

TIMSS Regression Diagnostics

UNweighted

2003 science difference ON IAT

The UNIVARIATE Procedure

Variable: resid (Studentized Residual without Current Obs)

Moments
N	34	Sum Weights	34
Mean	-0.010159	Sum Observations	-0.3454052
Std Deviation	1.07228908	Variance	1.14980386
Skewness	0.18975586	Kurtosis	1.43868709
Uncorrected SS	37.9470365	Corrected SS	37.9435275
Coeff Variation	-10555.089	Std Error Mean	0.18389606

Basic Statistical Measures
Location		Variability
Mean	-0.01016	Std Deviation	1.07229
Median	0.01106	Variance	1.14980
Mode	.	Range	5.81943
		Interquartile Range	1.28225

Tests for Location: Mu0=0
Test	Statistic		p Value
Student's t	t	-0.05524	Pr > \|t\|	0.9563
Sign	M	1	Pr >= \|M\|	0.8642
Signed Rank	S	-4.5	Pr >= \|S\|	0.9400

Quantiles (Definition 5)
Quantile	Estimate
100% Max	3.0060940
99%	3.0060940
95%	1.4554586
90%	1.2666882
75% Q3	0.7043969
50% Median	0.0110556
25% Q1	-0.5778507
10%	-1.1694126
5%	-1.4183219
1%	-2.8133374
0% Min	-2.8133374

Extreme Observations
Lowest		Highest
Value	Obs	Value	Obs
-2.81334	1	1.01453	30
-1.41832	2	1.26669	31
-1.20646	3	1.43472	32
-1.16941	4	1.45546	33
-1.10698	5	3.00609	34

TIMSS Regression Diagnostics

UNweighted

2003 science difference ON IAT

The UNIVARIATE Procedure

Variable: resid (Studentized Residual without Current Obs)

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
       3 0                        1                0                   3.25+                                              *     
       2                                                                   |                                                 ++ 
       2                                                                   |                                            +++++   
       1 5                        1                |                       |                                        ++++        
       1 0034                     4                |                       |                                   ***+*  *         
       0 56799                    5             +-----+                    |                              +****                 
       0 0011134                  7             *-----*                0.25+                         ******                     
      -0 332                      3             |  +  |                    |                     ****+                          
      -0 765555                   6             +-----+                    |                +****                               
      -1 422110                   6                |                       |        *  *+****                                   
      -1                                                                   |       +++++                                        
      -2                                                                   |  +++++                                             
      -2 8                        1                0                  -2.75+++  *                                               
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
                                                                                -2        -1         0        +1        +2

TIMSS Regression Diagnostics

UNweighted

2003 science difference ON IAT

Obs	resid	iat_mean	iat_n	BGsciDIFF03	countrycitzn
1	-2.81334	0.25671	37	-27	JO
2	-1.41832	0.41825	104	-3	CY
3	-1.20646	0.44178	425	1	TW
4	-1.16941	0.48889	106	6	LT
5	-1.10698	0.51348	489	9	RO
6	-1.07420	0.46123	58	4	LV
7	-1.01404	0.64834	17	24	TN
8	-0.67671	0.29086	47	-9	MK
9	-0.57785	0.28221	15	-9	MD
10	-0.54390	0.36389	152	-1	IR
11	-0.53637	0.44593	5649	7	SE
12	-0.49318	0.39061	849	2	ZA
13	-0.48481	0.30604	541	-6	PH
14	-0.31705	0.50838	3110	15	NL
15	-0.29957	0.44558	457	9	HK
16	-0.24147	0.37852	822	3	SG
17	0.00429	0.39784	55	7	SI
18	0.01782	0.49977	69	17	SK
19	0.06553	0.42329	1349	10	NZ
20	0.06629	0.43354	317	11	RU
21	0.11580	0.39817	1502	8	NO
22	0.28535	0.42425	1449	12	KR
23	0.37698	0.39549	1164	10	IT
24	0.49585	0.39527	15471	11	UK
25	0.57510	0.36790	2476	9	JP
26	0.70440	0.36694	322	10	MY
27	0.85116	0.42598	210	17	BG
28	0.88646	0.44371	924	19	IL
29	1.00572	0.35176	152	11	ID
30	1.01453	0.50682	2559	26	HU
31	1.26669	0.45299	1286	23	BE
32	1.43472	0.40781	8194	20	AU
33	1.45546	0.37570	248306	17	US
34	3.00609	0.38852	163	29	CL

TIMSS Regression Diagnostics

UNweighted

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	0.0556374	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 science 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 science difference ON IAT

Obs	lever	iat_mean	iat_n	BGsciDIFF03	countrycitzn
1	0.02948	0.41825	104	-3	CY
2	0.02966	0.40781	8194	20	AU
3	0.02981	0.42329	1349	10	NZ
4	0.02991	0.42425	1449	12	KR
5	0.03010	0.42598	210	17	BG
6	0.03085	0.39817	1502	8	NO
7	0.03090	0.39784	55	7	SI
8	0.03132	0.43354	317	11	RU
9	0.03135	0.39549	1164	10	IT
10	0.03140	0.39527	15471	11	UK
11	0.03247	0.39061	849	2	ZA
12	0.03303	0.38852	163	29	CL
13	0.03334	0.44178	425	1	TW
14	0.03391	0.44371	924	19	IL
15	0.03451	0.44558	457	9	HK
16	0.03463	0.44593	5649	7	SE
17	0.03633	0.37852	822	3	SG
18	0.03724	0.45299	1286	23	BE
19	0.03745	0.37570	248306	17	US
20	0.04096	0.46123	58	4	LV
21	0.04100	0.36790	2476	9	JP
22	0.04148	0.36694	322	10	MY
23	0.04307	0.36389	152	-1	IR
24	0.05039	0.35176	152	11	ID
25	0.05872	0.48889	106	6	LT
26	0.06794	0.49977	69	17	SK
27	0.07458	0.50682	2559	26	HU
28	0.07613	0.50838	3110	15	NL
29	0.08135	0.51348	489	9	RO
30	0.09202	0.30604	541	-6	PH
31	0.11075	0.29086	47	-9	MK
32	0.12251	0.28221	15	-9	MD
33	0.16183	0.25671	37	-27	JO
34	0.31962	0.64834	17	24	TN

TIMSS Regression Diagnostics

UNweighted

2003 science difference ON IAT

The UNIVARIATE Procedure

Variable: cookd (Cook's D Influence Statistic)

Moments
N	34	Sum Weights	34
Mean	0.0434314	Sum Observations	1.47666758
Std Deviation	0.11267	Variance	0.01269453
Skewness	4.6629237	Kurtosis	23.4687901
Uncorrected SS	0.48305322	Corrected SS	0.41891948
Coeff Variation	259.420615	Std Error Mean	0.01932275

Basic Statistical Measures
Location		Variability
Mean	0.043431	Std Deviation	0.11267
Median	0.011770	Variance	0.01269
Mode	.	Range	0.62831
		Interquartile Range	0.02809

Tests for Location: Mu0=0
Test	Statistic		p Value
Student's t	t	2.247683	Pr > \|t\|	0.0314
Sign	M	17	Pr >= \|M\|	<.0001
Signed Rank	S	297.5	Pr >= \|S\|	<.0001

Quantiles (Definition 5)
Quantile	Estimate
100% Max	6.28308E-01
99%	6.28308E-01
95%	2.41317E-01
90%	5.38750E-02
75% Q3	3.04490E-02
50% Median	1.17704E-02
25% Q1	2.36316E-03
10%	7.33107E-05
5%	1.19509E-05
1%	3.02672E-07
0% Min	3.02672E-07

Extreme Observations
Lowest		Highest
Value	Obs	Value	Obs
3.02672E-07	1	0.0421743	30
1.19509E-05	2	0.0538750	31
6.81043E-05	3	0.1233391	32
7.33107E-05	4	0.2413168	33
2.20197E-04	5	0.6283079	34

TIMSS Regression Diagnostics

UNweighted

2003 science difference ON IAT

The UNIVARIATE Procedure

Variable: cookd (Cook's D Influence Statistic)

   Stem Leaf                               #         Boxplot                               Normal Probability Plot              
      6 3                                  1            *              0.625+                                              *    
      5                                                                     |                                                   
      5                                                                     |                                                   
      4                                                                     |                                                   
      4                                                                     |                                                   
      3                                                                     |                                                   
      3                                                                0.325+                                                +++
      2                                                                     |                                            ++++   
      2 4                                  1            *                   |                                       +++*+       
      1                                                                     |                                   ++++            
      1 2                                  1            *                   |                               ++++    *           
      0 5                                  1            |                   |                          +++++      *             
      0 000000000000111111122233333444    30         +--+--+           0.025+    *   *  * ************************              
        ----+----+----+----+----+----+                                       +----+----+----+----+----+----+----+----+----+----+
    Multiply Stem.Leaf by 10**-1                                                 -2        -1         0        +1        +2

TIMSS Regression Diagnostics

UNweighted

2003 science difference ON IAT

Obs	cookd	iat_mean	iat_n	BGsciDIFF03	countrycitzn
1	0.00000	0.39784	55	7	SI
2	0.00001	0.49977	69	17	SK
3	0.00007	0.42329	1349	10	NZ
4	0.00007	0.43354	317	11	RU
5	0.00022	0.39817	1502	8	NO
6	0.00113	0.37852	822	3	SG
7	0.00129	0.42425	1449	12	KR
8	0.00165	0.44558	457	9	HK
9	0.00236	0.39549	1164	10	IT
10	0.00408	0.39527	15471	11	UK
11	0.00418	0.39061	849	2	ZA
12	0.00426	0.50838	3110	15	NL
13	0.00528	0.44593	5649	7	SE
14	0.00681	0.36389	152	-1	IR
15	0.00722	0.36790	2476	9	JP
16	0.01091	0.36694	322	10	MY
17	0.01134	0.42598	210	17	BG
18	0.01220	0.30604	541	-6	PH
19	0.01388	0.44371	924	19	IL
20	0.02380	0.28221	15	-9	MD
21	0.02452	0.46123	58	4	LV
22	0.02475	0.44178	425	1	TW
23	0.02683	0.35176	152	11	ID
24	0.02901	0.29086	47	-9	MK
25	0.02962	0.41825	104	-3	CY
26	0.03045	0.40781	8194	20	AU
27	0.03046	0.45299	1286	23	BE
28	0.03982	0.37570	248306	17	US
29	0.04144	0.50682	2559	26	HU
30	0.04217	0.48889	106	6	LT
31	0.05387	0.51348	489	9	RO
32	0.12334	0.38852	163	29	CL
33	0.24132	0.64834	17	24	TN
34	0.62831	0.25671	37	-27	JO

TIMSS Regression Diagnostics

UNweighted

2003 science difference ON IAT

The UNIVARIATE Procedure

Variable: dffit (Standard Influence on Predicted Value)

Moments
N	34	Sum Weights	34
Mean	-0.0487146	Sum Observations	-1.6562955
Std Deviation	0.31198392	Variance	0.09733397
Skewness	-1.7012453	Kurtosis	5.78434555
Uncorrected SS	3.29270658	Corrected SS	3.21202085
Coeff Variation	-640.43243	Std Error Mean	0.0535048

Basic Statistical Measures
Location		Variability
Mean	-0.04871	Std Deviation	0.31198
Median	0.00279	Variance	0.09733
Mode	.	Range	1.79173
		Interquartile Range	0.36244

Tests for Location: Mu0=0
Test	Statistic		p Value
Student's t	t	-0.91047	Pr > \|t\|	0.3692
Sign	M	1	Pr >= \|M\|	0.8642
Signed Rank	S	-24.5	Pr >= \|S\|	0.6818

Quantiles (Definition 5)
Quantile	Estimate
100% Max	0.55554468
99%	0.55554468
95%	0.28801000
90%	0.25082308
75% Q3	0.14653072
50% Median	0.00278888
25% Q1	-0.21591241
10%	-0.29209123
5%	-0.69502523
1%	-1.23618661
0% Min	-1.23618661

Extreme Observations
Lowest		Highest
Value	Obs	Value	Obs
-1.236187	1	0.249121	30
-0.695025	2	0.250823	31
-0.329407	3	0.287090	32
-0.292091	4	0.288010	33
-0.247204	5	0.555545	34

TIMSS Regression Diagnostics

UNweighted

2003 science difference ON IAT

The UNIVARIATE Procedure

Variable: dffit (Standard Influence on Predicted Value)

    Stem Leaf                     #             Boxplot                                   Normal Probability Plot               
       4 6                        1                |                    0.5+                                        ++++++*     
       2 35599                    5                |                       |                                 ++***+*  *         
       0 001125792557            12             +-----+                    |                         **********                 
      -0 5209965                  7             |  +  |                -0.1+                   ******++                         
      -2 3954222                  7             +-----+                    |           * ******++                               
      -4                                           |                       |        ++++++                                      
      -6 0                        1                |                   -0.7+ +++++++*                                           
      -8                                                                   |+                                                   
     -10                                                                   |                                                    
     -12 4                        1                0                   -1.3+    *                                               
         ----+----+----+----+                                               +----+----+----+----+----+----+----+----+----+----+ 
     Multiply Stem.Leaf by 10**-1                                               -2        -1         0        +1        +2

TIMSS Regression Diagnostics

UNweighted

2003 science difference ON IAT

Obs	dffit	iat_mean	iat_n	BGsciDIFF03	countrycitzn
1	-1.23619	0.25671	37	-27	JO
2	-0.69503	0.64834	17	24	TN
3	-0.32941	0.51348	489	9	RO
4	-0.29209	0.48889	106	6	LT
5	-0.24720	0.41825	104	-3	CY
6	-0.23881	0.29086	47	-9	MK
7	-0.22405	0.44178	425	1	TW
8	-0.22199	0.46123	58	4	LV
9	-0.21591	0.28221	15	-9	MD
10	-0.15434	0.30604	541	-6	PH
11	-0.11539	0.36389	152	-1	IR
12	-0.10158	0.44593	5649	7	SE
13	-0.09101	0.50838	3110	15	NL
14	-0.09034	0.39061	849	2	ZA
15	-0.05664	0.44558	457	9	HK
16	-0.04688	0.37852	822	3	SG
17	0.00077	0.39784	55	7	SI
18	0.00481	0.49977	69	17	SK
19	0.01149	0.42329	1349	10	NZ
20	0.01192	0.43354	317	11	RU
21	0.02066	0.39817	1502	8	NO
22	0.05010	0.42425	1449	12	KR
23	0.06782	0.39549	1164	10	IT
24	0.08927	0.39527	15471	11	UK
25	0.11891	0.36790	2476	9	JP
26	0.14653	0.36694	322	10	MY
27	0.14994	0.42598	210	17	BG
28	0.16608	0.44371	924	19	IL
29	0.23167	0.35176	152	11	ID
30	0.24912	0.45299	1286	23	BE
31	0.25082	0.40781	8194	20	AU
32	0.28709	0.37570	248306	17	US
33	0.28801	0.50682	2559	26	HU
34	0.55554	0.38852	163	29	CL