Results: describemath1.sas

Gender, Ethnicity and Math performance

Descriptive statistics on the Exploratory Sample

Categorical Variables

The FREQ Procedure

The Freq Procedure

Table sex

One-Way Frequencies

sex Frequency Percent Cumulative
Frequency		 Cumulative
Percent
Frequency Missing = 28
Female 266 48.28 266 48.28
Male 285 51.72 551 100.00

Table tongue

One-Way Frequencies

Mother Tongue (Eng or Other)
tongue Frequency Percent Cumulative
Frequency		 Cumulative
Percent
Frequency Missing = 28
English 402 72.96 402 72.96
Other 149 27.04 551 100.00

Table rater1

One-Way Frequencies

Nationality of name acc to rater1
rater1 Frequency Percent Cumulative
Frequency		 Cumulative
Percent
Asian 126 21.76 126 21.76
Eastern European 61 10.54 187 32.30
European not Eastern 204 35.23 391 67.53
Middle-Eastern and Pakistani 66 11.40 457 78.93
East Indian 72 12.44 529 91.36
Other and DK 50 8.64 579 100.00

Table rater2

One-Way Frequencies

Nationality of name acc to rater2
rater2 Frequency Percent Cumulative
Frequency		 Cumulative
Percent
Asian 131 22.63 131 22.63
Eastern European 65 11.23 196 33.85
European not Eastern 196 33.85 392 67.70
Middle-Eastern and Pakistani 59 10.19 451 77.89
East Indian 86 14.85 537 92.75
Other and DK 42 7.25 579 100.00

Table ethnic

One-Way Frequencies

Judged Nationality of name
ethnic Frequency Percent Cumulative
Frequency		 Cumulative
Percent
Asian 131 22.63 131 22.63
Eastern European 63 10.88 194 33.51
European not Eastern 195 33.68 389 67.18
Middle-Eastern and Pakistani 72 12.44 461 79.62
East Indian 78 13.47 539 93.09
Other and DK 40 6.91 579 100.00

Table class

One-Way Frequencies

class Frequency Percent Cumulative
Frequency		 Cumulative
Percent
Frequency Missing = 108
Catch-up 59 12.53 59 12.53
Mainstream 373 79.19 432 91.72
Elite 39 8.28 471 100.00

Table havecalc

One-Way Frequencies

Took High School Calculus
havecalc Frequency Percent Cumulative
Frequency		 Cumulative
Percent
No 88 15.20 88 15.20
Yes 491 84.80 579 100.00

Table passed

One-Way Frequencies

Passed the course
passed Frequency Percent Cumulative
Frequency		 Cumulative
Percent
No 274 47.32 274 47.32
Yes 305 52.68 579 100.00

Table outcome

One-Way Frequencies

Passed, Failed or Disappeared
outcome Frequency Percent Cumulative
Frequency		 Cumulative
Percent
Disappeared 184 31.78 184 31.78
Failed 90 15.54 274 47.32
Passed 305 52.68 579 100.00

Table havecalc * class

Cross-Tabular Freq Table

Frequency
Row Pct
Table of havecalc by class
havecalc(Took High School Calculus) class
Catch-up Mainstream Elite Total
No
23
41.07
26
46.43
7
12.50
56
 
Yes
36
8.67
347
83.61
32
7.71
415
 
Total
59
373
39
471
Frequency Missing = 108

Gender, Ethnicity and Math performance

Descriptive statistics on the Exploratory Sample

Quantitative Variables

The MEANS Procedure

The Means Procedure

Summary statistics

Variable Label N Mean Std Dev Minimum Maximum
precalc
calc
totscore
hsgpa
hscalc
hsengl
grade
Number precalculus correct
Number calculus correct
Total # right on diagnostic test
High School GPA
HS Calculus
HS English
Final mark
480
480
480
466
448
480
393
4.4020833
3.3187500
7.7208333
79.2690987
75.4441964
75.8354167
58.7379135
1.7621620
2.4918369
3.7036888
6.0384921
12.1918487
8.7180371
19.1831935
0
0
0
65.0000000
50.0000000
50.0000000
1.0000000
9.0000000
11.0000000
20.0000000
97.3000000
100.0000000
96.0000000
99.0000000

Gender, Ethnicity and Math performance

Descriptive statistics on the Exploratory Sample

Detailed look at grade

The UNIVARIATE Procedure

Variable: grade (Final mark)

The Univariate Procedure

grade

Moments

Moments
N 393 Sum Weights 393
Mean 58.7379135 Sum Observations 23084
Std Deviation 19.1831935 Variance 367.994911
Skewness -0.5121423 Kurtosis 0.35144502
Uncorrected SS 1500160 Corrected SS 144254.005
Coeff Variation 32.658963 Std Error Mean 0.9676641

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 58.73791 Std Deviation 19.18319
Median 60.00000 Variance 367.99491
Mode 50.00000 Range 98.00000
    Interquartile Range 22.00000

Tests For Location

Tests for Location: Mu0=0
Test Statistic p Value
Student's t t 60.70073 Pr > |t| <.0001
Sign M 196.5 Pr >= |M| <.0001
Signed Rank S 38710.5 Pr >= |S| <.0001

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.977228 Pr < W <0.0001
Kolmogorov-Smirnov D 0.100457 Pr > D <0.0100
Cramer-von Mises W-Sq 0.318394 Pr > W-Sq <0.0050
Anderson-Darling A-Sq 2.08731 Pr > A-Sq <0.0050

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 99
99% 95
95% 88
90% 82
75% Q3 72
50% Median 60
25% Q1 50
10% 32
5% 22
1% 4
0% Min 1

Extreme Observations

Extreme Observations
Lowest Highest
Value Obs Value Obs
1 176 95 268
2 319 95 340
2 9 96 452
4 498 97 486
4 70 99 286

Missing Values

Missing Values
Missing
Value		 Count Percent Of
All Obs Missing Obs
. 186 32.12 100.00

Plots for grade

Plots for grade

Gender, Ethnicity and Math performance

Descriptive statistics on the Exploratory Sample

Grade separately by course

The FREQ Procedure

The Freq Procedure

Table grade * class

Cross-Tabular Freq Table

Frequency
Table of grade by class
grade(Final mark) class
Catch-up Mainstream Elite Total
1
0
0
1
1
2
0
2
0
2
4
1
0
0
1
5
0
1
0
1
11
0
0
0
0
12
0
1
0
1
13
0
1
0
1
14
0
1
0
1
15
0
0
0
0
16
0
1
0
1
17
0
1
1
2
18
0
1
0
1
19
0
2
0
2
20
0
0
1
1
22
0
3
0
3
25
0
0
0
0
26
1
2
0
3
28
0
3
0
3
29
0
1
0
1
30
1
1
1
3
31
0
3
0
3
32
0
2
0
2
33
0
1
0
1
34
0
2
0
2
35
1
2
0
3
36
1
1
0
2
37
0
1
1
2
38
2
0
0
2
39
0
6
0
6
40
1
0
0
1
41
0
3
0
3
42
1
2
0
3
43
0
2
0
2
44
0
1
1
2
45
0
2
0
2
46
0
6
0
6
47
0
5
0
5
48
0
1
0
1
50
2
14
5
21
51
0
10
0
10
52
0
3
0
3
53
0
4
1
5
54
1
6
0
7
55
0
8
0
8
56
0
6
0
6
57
0
8
2
10
58
0
6
0
6
60
3
19
3
25
61
1
5
2
8
62
0
9
0
9
63
0
3
0
3
64
0
7
1
8
65
1
7
3
11
66
0
6
1
7
67
0
2
2
4
68
0
6
1
7
70
0
10
0
10
71
1
9
0
10
72
0
6
0
6
73
0
3
1
4
74
0
4
1
5
75
1
3
1
5
76
0
8
0
8
77
0
6
0
6
78
0
6
0
6
80
2
7
0
9
81
1
1
2
4
82
0
3
0
3
83
1
2
0
3
84
0
4
0
4
85
0
1
0
1
86
0
3
0
3
87
0
4
0
4
88
0
3
1
4
90
0
2
2
4
91
0
2
0
2
93
0
1
0
1
94
0
3
0
3
95
1
3
0
4
96
0
0
1
1
97
0
1
0
1
99
0
0
1
1
Total
24
285
37
346
Frequency Missing = 233

Gender, Ethnicity and Math performance

Descriptive statistics on the Exploratory Sample

Do Raters Agree on on Nationality?

The FREQ Procedure

The Freq Procedure

Table rater1 * rater2

Cross-Tabular Freq Table

Frequency
Percent
Table of rater1 by rater2
rater1(Nationality of name acc to rater1) rater2(Nationality of name acc to rater2)
Asian Eastern European European not Eastern Middle-Eastern and Pakistani East Indian Other and DK Total
Asian
113
19.52
2
0.35
2
0.35
2
0.35
5
0.86
2
0.35
126
21.76
Eastern European
1
0.17
50
8.64
4
0.69
1
0.17
3
0.52
2
0.35
61
10.54
European not Eastern
9
1.55
8
1.38
183
31.61
1
0.17
1
0.17
2
0.35
204
35.23
Middle-Eastern and Pakistani
0
0.00
2
0.35
1
0.17
53
9.15
8
1.38
2
0.35
66
11.40
East Indian
0
0.00
1
0.17
2
0.35
1
0.17
67
11.57
1
0.17
72
12.44
Other and DK
8
1.38
2
0.35
4
0.69
1
0.17
2
0.35
33
5.70
50
8.64
Total
131
22.63
65
11.23
196
33.85
59
10.19
86
14.85
42
7.25
579
100.00