Results: describemath.sas

Gender, Ethnicity and Math performance

Basic 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

Basic descriptive statistics on the exploratory sample

Categorical variables

The FREQ Procedure

The FREQ Procedure

Table course

One-Way Frequencies

course Frequency Percent Cumulative
Frequency		 Cumulative
Percent
Frequency Missing = 99
1 59 12.29 59 12.29
2 373 77.71 432 90.00
3 39 8.13 471 98.13
No Resp 9 1.88 480 100.00

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 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 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 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

Gender, Ethnicity and Math performance

Basic 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

Basic descriptive statistics on the exploratory sample

Frequency Distribution of Final Grade

The FREQ Procedure

The FREQ Procedure

Table grade

One-Way Frequencies

Final mark
grade Frequency Percent Cumulative
Frequency		 Cumulative
Percent
Frequency Missing = 186
1 1 0.25 1 0.25
2 2 0.51 3 0.76
4 2 0.51 5 1.27
5 1 0.25 6 1.53
11 1 0.25 7 1.78
12 1 0.25 8 2.04
13 1 0.25 9 2.29
14 2 0.51 11 2.80
15 1 0.25 12 3.05
16 1 0.25 13 3.31
17 2 0.51 15 3.82
18 1 0.25 16 4.07
19 2 0.51 18 4.58
20 1 0.25 19 4.83
22 3 0.76 22 5.60
25 1 0.25 23 5.85
26 3 0.76 26 6.62
28 3 0.76 29 7.38
29 1 0.25 30 7.63
30 3 0.76 33 8.40
31 5 1.27 38 9.67
32 2 0.51 40 10.18
33 1 0.25 41 10.43
34 2 0.51 43 10.94
35 3 0.76 46 11.70
36 3 0.76 49 12.47
37 2 0.51 51 12.98
38 2 0.51 53 13.49
39 7 1.78 60 15.27
40 1 0.25 61 15.52
41 3 0.76 64 16.28
42 3 0.76 67 17.05
43 2 0.51 69 17.56
44 2 0.51 71 18.07
45 2 0.51 73 18.58
46 8 2.04 81 20.61
47 6 1.53 87 22.14
48 1 0.25 88 22.39
50 28 7.12 116 29.52
51 11 2.80 127 32.32
52 5 1.27 132 33.59
53 6 1.53 138 35.11
54 11 2.80 149 37.91
55 10 2.54 159 40.46
56 7 1.78 166 42.24
57 13 3.31 179 45.55
58 6 1.53 185 47.07
60 26 6.62 211 53.69
61 10 2.54 221 56.23
62 10 2.54 231 58.78
63 3 0.76 234 59.54
64 8 2.04 242 61.58
65 11 2.80 253 64.38
66 7 1.78 260 66.16
67 4 1.02 264 67.18
68 8 2.04 272 69.21
70 12 3.05 284 72.26
71 10 2.54 294 74.81
72 6 1.53 300 76.34
73 6 1.53 306 77.86
74 5 1.27 311 79.13
75 5 1.27 316 80.41
76 8 2.04 324 82.44
77 6 1.53 330 83.97
78 6 1.53 336 85.50
80 11 2.80 347 88.30
81 4 1.02 351 89.31
82 3 0.76 354 90.08
83 4 1.02 358 91.09
84 4 1.02 362 92.11
85 1 0.25 363 92.37
86 3 0.76 366 93.13
87 4 1.02 370 94.15
88 4 1.02 374 95.17
90 5 1.27 379 96.44
91 2 0.51 381 96.95
93 1 0.25 382 97.20
94 3 0.76 385 97.96
95 5 1.27 390 99.24
96 1 0.25 391 99.49
97 1 0.25 392 99.75
99 1 0.25 393 100.00

Gender, Ethnicity and Math performance

Basic descriptive statistics on the exploratory sample

Grade separately by course

The FREQ Procedure

The FREQ Procedure

Table grade * course

Cross-Tabular Freq Table

Frequency
Col Pct
Table of grade by course
grade(Final mark) course
1 2 3 Total
1
0
0.00
0
0.00
1
2.70
1
 
2
0
0.00
2
0.70
0
0.00
2
 
4
1
4.17
0
0.00
0
0.00
1
 
5
0
0.00
1
0.35
0
0.00
1
 
11
0
0.00
0
0.00
0
0.00
0
 
12
0
0.00
1
0.35
0
0.00
1
 
13
0
0.00
1
0.35
0
0.00
1
 
14
0
0.00
1
0.35
0
0.00
1
 
15
0
0.00
0
0.00
0
0.00
0
 
16
0
0.00
1
0.35
0
0.00
1
 
17
0
0.00
1
0.35
1
2.70
2
 
18
0
0.00
1
0.35
0
0.00
1
 
19
0
0.00
2
0.70
0
0.00
2
 
20
0
0.00
0
0.00
1
2.70
1
 
22
0
0.00
3
1.05
0
0.00
3
 
25
0
0.00
0
0.00
0
0.00
0
 
26
1
4.17
2
0.70
0
0.00
3
 
28
0
0.00
3
1.05
0
0.00
3
 
29
0
0.00
1
0.35
0
0.00
1
 
30
1
4.17
1
0.35
1
2.70
3
 
31
0
0.00
3
1.05
0
0.00
3
 
32
0
0.00
2
0.70
0
0.00
2
 
33
0
0.00
1
0.35
0
0.00
1
 
34
0
0.00
2
0.70
0
0.00
2
 
35
1
4.17
2
0.70
0
0.00
3
 
36
1
4.17
1
0.35
0
0.00
2
 
37
0
0.00
1
0.35
1
2.70
2
 
38
2
8.33
0
0.00
0
0.00
2
 
39
0
0.00
6
2.11
0
0.00
6
 
40
1
4.17
0
0.00
0
0.00
1
 
41
0
0.00
3
1.05
0
0.00
3
 
42
1
4.17
2
0.70
0
0.00
3
 
43
0
0.00
2
0.70
0
0.00
2
 
44
0
0.00
1
0.35
1
2.70
2
 
45
0
0.00
2
0.70
0
0.00
2
 
46
0
0.00
6
2.11
0
0.00
6
 
47
0
0.00
5
1.75
0
0.00
5
 
48
0
0.00
1
0.35
0
0.00
1
 
50
2
8.33
14
4.91
5
13.51
21
 
51
0
0.00
10
3.51
0
0.00
10
 
52
0
0.00
3
1.05
0
0.00
3
 
53
0
0.00
4
1.40
1
2.70
5
 
54
1
4.17
6
2.11
0
0.00
7
 
55
0
0.00
8
2.81
0
0.00
8
 
56
0
0.00
6
2.11
0
0.00
6
 
57
0
0.00
8
2.81
2
5.41
10
 
58
0
0.00
6
2.11
0
0.00
6
 
60
3
12.50
19
6.67
3
8.11
25
 
61
1
4.17
5
1.75
2
5.41
8
 
62
0
0.00
9
3.16
0
0.00
9
 
63
0
0.00
3
1.05
0
0.00
3
 
64
0
0.00
7
2.46
1
2.70
8
 
65
1
4.17
7
2.46
3
8.11
11
 
66
0
0.00
6
2.11
1
2.70
7
 
67
0
0.00
2
0.70
2
5.41
4
 
68
0
0.00
6
2.11
1
2.70
7
 
70
0
0.00
10
3.51
0
0.00
10
 
71
1
4.17
9
3.16
0
0.00
10
 
72
0
0.00
6
2.11
0
0.00
6
 
73
0
0.00
3
1.05
1
2.70
4
 
74
0
0.00
4
1.40
1
2.70
5
 
75
1
4.17
3
1.05
1
2.70
5
 
76
0
0.00
8
2.81
0
0.00
8
 
77
0
0.00
6
2.11
0
0.00
6
 
78
0
0.00
6
2.11
0
0.00
6
 
80
2
8.33
7
2.46
0
0.00
9
 
81
1
4.17
1
0.35
2
5.41
4
 
82
0
0.00
3
1.05
0
0.00
3
 
83
1
4.17
2
0.70
0
0.00
3
 
84
0
0.00
4
1.40
0
0.00
4
 
85
0
0.00
1
0.35
0
0.00
1
 
86
0
0.00
3
1.05
0
0.00
3
 
87
0
0.00
4
1.40
0
0.00
4
 
88
0
0.00
3
1.05
1
2.70
4
 
90
0
0.00
2
0.70
2
5.41
4
 
91
0
0.00
2
0.70
0
0.00
2
 
93
0
0.00
1
0.35
0
0.00
1
 
94
0
0.00
3
1.05
0
0.00
3
 
95
1
4.17
3
1.05
0
0.00
4
 
96
0
0.00
0
0.00
1
2.70
1
 
97
0
0.00
1
0.35
0
0.00
1
 
99
0
0.00
0
0.00
1
2.70
1
 
Total
24
285
37
346
Frequency Missing = 224