Results: mathlogreg3.sas

Gender, Ethnicity and Math performance

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 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

Gender, Ethnicity and Math performance

Missingness on variables used, and passing the course

The FREQ Procedure

The Freq Procedure

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

Gender, Ethnicity and Math performance

Missingness on variables used, and passing the course

The FREQ Procedure

The Freq Procedure

Table coursemiss * missused

Cross-Tabular Freq Table

Frequency
Table of coursemiss by missused
coursemiss(Course missing) missused(Any of hsgpa hscalc precalc missing)
No Yes Total
No
375
96
471
Yes
0
108
108
Total
375
204
579

Gender, Ethnicity and Math performance

Missingness on variables used, and passing the course

HS GPA, HS Calculus and Pre-calculus test

The LOGISTIC Procedure

The Logistic Procedure

Model Information

Model Information
Data Set WORK.MATHEX2  
Response Variable passed Passed the course
Number of Response Levels 2  
Model binary logit  
Optimization Technique Fisher's scoring  

Observations Summary

Number of Observations Read 579
Number of Observations Used 375

Response Profile

Response Profile
Ordered
Value		 passed Total
Frequency
1 No 141
2 Yes 234

Probability modeled is passed='Yes'.

Note:204 observations were deleted due to missing values for the response or explanatory variables.

Convergence Status

Model Convergence Status
Convergence criterion (GCONV=1E-8) satisfied.

Fit Statistics

Model Fit Statistics
Criterion Intercept Only Intercept and Covariates
AIC 498.554 378.219
SC 502.481 401.781
-2 Log L 496.554 366.219

Global Tests

Testing Global Null Hypothesis: BETA=0
Test Chi-Square DF Pr > ChiSq
Likelihood Ratio 130.3349 5 <.0001
Score 108.6243 5 <.0001
Wald 79.4767 5 <.0001

Parameter Estimates

Analysis of Maximum Likelihood Estimates
Parameter DF Estimate Standard
Error		 Wald
Chi-Square		 Pr > ChiSq
Intercept 1 -14.6035 2.2767 41.1430 <.0001
hsgpa 1 0.1144 0.0312 13.4657 0.0002
hscalc 1 0.0637 0.0132 23.2228 <.0001
precalc 1 0.3063 0.0849 13.0219 0.0003
sexmiss 1 -0.2950 1.0425 0.0801 0.7772
hsenglmiss 1 13.2995 824.5 0.0003 0.9871

Odds Ratios

Odds Ratio Estimates
Effect Point Estimate 95% Wald
Confidence Limits
hsgpa 1.121 1.055 1.192
hscalc 1.066 1.039 1.094
precalc 1.358 1.150 1.604
sexmiss 0.745 0.096 5.744
hsenglmiss >999.999 <0.001 >999.999

Association Statistics

Association of Predicted Probabilities and Observed Responses
Percent Concordant 83.3 Somers' D 0.666
Percent Discordant 16.7 Gamma 0.666
Percent Tied 0.0 Tau-a 0.313
Pairs 32994 c 0.833

Test Statement Results

Linear Hypotheses Testing Results
Label Wald
Chi-Square		 DF Pr > ChiSq
MissingVars 0.0804 2 0.9606