Results: mathlogreg3.sas

Prediction of Performance in First-year Calculus: Exploratory Sample

Check usefulness of missing data indicators one at a time

The FREQ Procedure

The FREQ Procedure

Table sexmiss * passed

Cross-Tabular Freq Table

Frequency
Row Pct
Table of sexmiss by passed
sexmiss(Gender and mother tongue missing) passed(Passed the course)
No Yes Total
No
256
46.46
295
53.54
551
 
Yes
18
64.29
10
35.71
28
 
Total
274
305
579

Statistics for Table of sexmiss by passed

Chi-Square Tests

Statistic DF Value Prob
Chi-Square 1 3.3961 0.0653
Likelihood Ratio Chi-Square 1 3.4201 0.0644
Continuity Adj. Chi-Square 1 2.7187 0.0992
Mantel-Haenszel Chi-Square 1 3.3903 0.0656
Phi Coefficient   -0.0766  
Contingency Coefficient   0.0764  
Cramer's V   -0.0766  

Fisher's Exact Test

Fisher's Exact Test
Cell (1,1) Frequency (F) 256
Left-sided Pr <= F 0.0494
Right-sided Pr >= F 0.9795
   
Table Probability (P) 0.0289
Two-sided Pr <= P 0.0806

Sample Size = 579

Table coursemiss * passed

Cross-Tabular Freq Table

Frequency
Row Pct
Table of coursemiss by passed
coursemiss(Course missing) passed(Passed the course)
No Yes Total
No
201
42.68
270
57.32
471
 
Yes
73
67.59
35
32.41
108
 
Total
274
305
579

Statistics for Table of coursemiss by passed

Chi-Square Tests

Statistic DF Value Prob
Chi-Square 1 21.8816 <.0001
Likelihood Ratio Chi-Square 1 22.1451 <.0001
Continuity Adj. Chi-Square 1 20.8935 <.0001
Mantel-Haenszel Chi-Square 1 21.8438 <.0001
Phi Coefficient   -0.1944  
Contingency Coefficient   0.1908  
Cramer's V   -0.1944  

Fisher's Exact Test

Fisher's Exact Test
Cell (1,1) Frequency (F) 201
Left-sided Pr <= F <.0001
Right-sided Pr >= F 1.0000
   
Table Probability (P) <.0001
Two-sided Pr <= P <.0001

Sample Size = 579

Table hsgpamiss * passed

Cross-Tabular Freq Table

Frequency
Row Pct
Table of hsgpamiss by passed
hsgpamiss(HS GPA missing) passed(Passed the course)
No Yes Total
No
201
43.13
265
56.87
466
 
Yes
73
64.60
40
35.40
113
 
Total
274
305
579

Statistics for Table of hsgpamiss by passed

Chi-Square Tests

Statistic DF Value Prob
Chi-Square 1 16.8153 <.0001
Likelihood Ratio Chi-Square 1 16.9360 <.0001
Continuity Adj. Chi-Square 1 15.9651 <.0001
Mantel-Haenszel Chi-Square 1 16.7863 <.0001
Phi Coefficient   -0.1704  
Contingency Coefficient   0.1680  
Cramer's V   -0.1704  

Fisher's Exact Test

Fisher's Exact Test
Cell (1,1) Frequency (F) 201
Left-sided Pr <= F <.0001
Right-sided Pr >= F 1.0000
   
Table Probability (P) <.0001
Two-sided Pr <= P <.0001

Sample Size = 579

Table hscalcmiss * passed

Cross-Tabular Freq Table

Frequency
Row Pct
Table of hscalcmiss by passed
hscalcmiss(HS Calculus mark missing) passed(Passed the course)
No Yes Total
No
185
41.29
263
58.71
448
 
Yes
89
67.94
42
32.06
131
 
Total
274
305
579

Statistics for Table of hscalcmiss by passed

Chi-Square Tests

Statistic DF Value Prob
Chi-Square 1 28.8659 <.0001
Likelihood Ratio Chi-Square 1 29.2336 <.0001
Continuity Adj. Chi-Square 1 27.8070 <.0001
Mantel-Haenszel Chi-Square 1 28.8161 <.0001
Phi Coefficient   -0.2233  
Contingency Coefficient   0.2179  
Cramer's V   -0.2233  

Fisher's Exact Test

Fisher's Exact Test
Cell (1,1) Frequency (F) 185
Left-sided Pr <= F <.0001
Right-sided Pr >= F 1.0000
   
Table Probability (P) <.0001
Two-sided Pr <= P <.0001

Sample Size = 579

Table hsenglmiss * passed

Cross-Tabular Freq Table

Frequency
Row Pct
Table of hsenglmiss by passed
hsenglmiss(HS English mark missing) passed(Passed the course)
No Yes Total
No
212
44.17
268
55.83
480
 
Yes
62
62.63
37
37.37
99
 
Total
274
305
579

Statistics for Table of hsenglmiss by passed

Chi-Square Tests

Statistic DF Value Prob
Chi-Square 1 11.2189 0.0008
Likelihood Ratio Chi-Square 1 11.2697 0.0008
Continuity Adj. Chi-Square 1 10.4906 0.0012
Mantel-Haenszel Chi-Square 1 11.1995 0.0008
Phi Coefficient   -0.1392  
Contingency Coefficient   0.1379  
Cramer's V   -0.1392  

Fisher's Exact Test

Fisher's Exact Test
Cell (1,1) Frequency (F) 212
Left-sided Pr <= F 0.0006
Right-sided Pr >= F 0.9997
   
Table Probability (P) 0.0003
Two-sided Pr <= P 0.0009

Sample Size = 579

Table testmiss * passed

Cross-Tabular Freq Table

Frequency
Row Pct
Table of testmiss by passed
testmiss(Diagnostic test scores missing) passed(Passed the course)
No Yes Total
No
210
43.75
270
56.25
480
 
Yes
64
64.65
35
35.35
99
 
Total
274
305
579

Statistics for Table of testmiss by passed

Chi-Square Tests

Statistic DF Value Prob
Chi-Square 1 14.3764 0.0001
Likelihood Ratio Chi-Square 1 14.4799 0.0001
Continuity Adj. Chi-Square 1 13.5504 0.0002
Mantel-Haenszel Chi-Square 1 14.3516 0.0002
Phi Coefficient   -0.1576  
Contingency Coefficient   0.1557  
Cramer's V   -0.1576  

Fisher's Exact Test

Fisher's Exact Test
Cell (1,1) Frequency (F) 210
Left-sided Pr <= F 0.0001
Right-sided Pr >= F 1.0000
   
Table Probability (P) <.0001
Two-sided Pr <= P 0.0002

Sample Size = 579

Table missused * passed

Cross-Tabular Freq Table

Frequency
Row Pct
Table of missused by passed
missused(Any of hsgpa hscalc precalc missing) passed(Passed the course)
No Yes Total
No
141
37.60
234
62.40
375
 
Yes
133
65.20
71
34.80
204
 
Total
274
305
579

Statistics for Table of missused by passed

Chi-Square Tests

Statistic DF Value Prob
Chi-Square 1 40.3631 <.0001
Likelihood Ratio Chi-Square 1 40.7904 <.0001
Continuity Adj. Chi-Square 1 39.2637 <.0001
Mantel-Haenszel Chi-Square 1 40.2934 <.0001
Phi Coefficient   -0.2640  
Contingency Coefficient   0.2553  
Cramer's V   -0.2640  

Fisher's Exact Test

Fisher's Exact Test
Cell (1,1) Frequency (F) 141
Left-sided Pr <= F <.0001
Right-sided Pr >= F 1.0000
   
Table Probability (P) <.0001
Two-sided Pr <= P <.0001

Sample Size = 579

Table nmiss * passed

Cross-Tabular Freq Table

Frequency
Row Pct
Table of nmiss by passed
nmiss passed(Passed the course)
No Yes Total
0
201
42.95
267
57.05
468
 
1
64
67.37
31
32.63
95
 
2
9
56.25
7
43.75
16
 
Total
274
305
579

Statistics for Table of nmiss by passed

Chi-Square Tests

Statistic DF Value Prob
Chi-Square 2 19.4168 <.0001
Likelihood Ratio Chi-Square 2 19.6345 <.0001
Mantel-Haenszel Chi-Square 1 14.6451 0.0001
Phi Coefficient   0.1831  
Contingency Coefficient   0.1801  
Cramer's V   0.1831  

Sample Size = 579

Prediction of Performance in First-year Calculus: Exploratory Sample

Missingness on variables used, and passing the course

The FREQ Procedure

The FREQ Procedure

Table missused * passed

Cross-Tabular Freq Table

Frequency
Percent
Table of missused by passed
missused(Any of hsgpa hscalc precalc missing) passed(Passed the course)
No Yes Total
No
141
24.35
234
40.41
375
64.77
Yes
133
22.97
71
12.26
204
35.23
Total
274
47.32
305
52.68
579
100.00

Statistics for Table of missused by passed

Chi-Square Tests

Statistic DF Value Prob
Chi-Square 1 40.3631 <.0001
Likelihood Ratio Chi-Square 1 40.7904 <.0001
Continuity Adj. Chi-Square 1 39.2637 <.0001
Mantel-Haenszel Chi-Square 1 40.2934 <.0001
Phi Coefficient   -0.2640  
Contingency Coefficient   0.2553  
Cramer's V   -0.2640  

Fisher's Exact Test

Fisher's Exact Test
Cell (1,1) Frequency (F) 141
Left-sided Pr <= F <.0001
Right-sided Pr >= F 1.0000
   
Table Probability (P) <.0001
Two-sided Pr <= P <.0001

Sample Size = 579

Prediction of Performance in First-year Calculus: Exploratory Sample

Just those with missing on variables used

The FREQ Procedure

The FREQ Procedure

Table sexmiss * passed

Cross-Tabular Freq Table

Frequency
Percent
Table of sexmiss by passed
sexmiss(Gender and mother tongue missing) passed(Passed the course)
No Yes Total
No
118
57.84
63
30.88
181
88.73
Yes
15
7.35
8
3.92
23
11.27
Total
133
65.20
71
34.80
204
100.00

Statistics for Table of sexmiss by passed

Chi-Square Tests

Statistic DF Value Prob
Chi-Square 1 0.0000 0.9982
Likelihood Ratio Chi-Square 1 0.0000 0.9982
Continuity Adj. Chi-Square 1 0.0000 1.0000
Mantel-Haenszel Chi-Square 1 0.0000 0.9982
Phi Coefficient   -0.0002  
Contingency Coefficient   0.0002  
Cramer's V   -0.0002  

Fisher's Exact Test

Fisher's Exact Test
Cell (1,1) Frequency (F) 118
Left-sided Pr <= F 0.5975
Right-sided Pr >= F 0.5856
   
Table Probability (P) 0.1831
Two-sided Pr <= P 1.0000

Sample Size = 204

Table coursemiss * passed

Cross-Tabular Freq Table

Frequency
Percent
Table of coursemiss by passed
coursemiss(Course missing) passed(Passed the course)
No Yes Total
No
60
29.41
36
17.65
96
47.06
Yes
73
35.78
35
17.16
108
52.94
Total
133
65.20
71
34.80
204
100.00

Statistics for Table of coursemiss by passed

Chi-Square Tests

Statistic DF Value Prob
Chi-Square 1 0.5809 0.4460
Likelihood Ratio Chi-Square 1 0.5805 0.4461
Continuity Adj. Chi-Square 1 0.3781 0.5386
Mantel-Haenszel Chi-Square 1 0.5780 0.4471
Phi Coefficient   -0.0534  
Contingency Coefficient   0.0533  
Cramer's V   -0.0534  

Fisher's Exact Test

Fisher's Exact Test
Cell (1,1) Frequency (F) 60
Left-sided Pr <= F 0.2692
Right-sided Pr >= F 0.8184
   
Table Probability (P) 0.0876
Two-sided Pr <= P 0.4649

Sample Size = 204