Results: birdlung.sas

Logistic Regression on Bird Lung Data

The FREQ Procedure

The FREQ Procedure

Table cancer

One-Way Frequencies

cancer	Frequency	Percent	Cumulative Frequency	Cumulative Percent
No	98	66.67	98	66.67
Yes	49	33.33	147	100.00

Table sex

One-Way Frequencies

sex	Frequency	Percent	Cumulative Frequency	Cumulative Percent
Male	111	75.51	111	75.51
Female	36	24.49	147	100.00

Table ses

One-Way Frequencies

ses	Frequency	Percent	Cumulative Frequency	Cumulative Percent
Low	102	69.39	102	69.39
High	45	30.61	147	100.00

Table birdkeep

One-Way Frequencies

birdkeep	Frequency	Percent	Cumulative Frequency	Cumulative Percent
No	80	54.42	80	54.42
Yes	67	45.58	147	100.00

Table cigday

One-Way Frequencies

cigday	Frequency	Percent	Cumulative Frequency	Cumulative Percent
0	17	11.56	17	11.56
1	2	1.36	19	12.93
2	2	1.36	21	14.29
3	1	0.68	22	14.97
4	2	1.36	24	16.33
5	2	1.36	26	17.69
6	3	2.04	29	19.73
8	2	1.36	31	21.09
10	15	10.20	46	31.29
12	5	3.40	51	34.69
15	27	18.37	78	53.06
16	1	0.68	79	53.74
18	2	1.36	81	55.10
20	38	25.85	119	80.95
25	15	10.20	134	91.16
30	7	4.76	141	95.92
37	1	0.68	142	96.60
40	4	2.72	146	99.32
45	1	0.68	147	100.00

Logistic Regression on Bird Lung Data

The MEANS Procedure

The MEANS Procedure

Summary statistics

Variable	N	Mean	Std Dev	Minimum	Maximum
age yrsmoke cigday	147 147 147	56.9659864 27.8503401 15.7482993	7.3488560 13.9756901 9.7037230	37.0000000 0 0	67.0000000 50.0000000 45.0000000

Logistic Regression on Bird Lung Data

The LOGISTIC Procedure

The LOGISTIC Procedure

Model Information

Model Information
Data Set	WORK.TWEET
Response Variable	cancer
Number of Response Levels	2
Model	binary logit
Optimization Technique	Fisher's scoring

Observations Summary

Number of Observations Read	147
Number of Observations Used	147

Response Profile

Response Profile
Ordered Value	cancer	Total Frequency
1	Yes	49
2	No	98

Probability modeled is cancer='Yes'.

Convergence Status

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

Fit Statistics

Model Fit Statistics
Criterion	Intercept Only	Intercept and Covariates
AIC	189.135	168.198
SC	192.126	189.131
-2 Log L	187.135	154.198

Global Tests

Testing Global Null Hypothesis: BETA=0
Test	Chi-Square	DF	Pr > ChiSq
Likelihood Ratio	32.9367	6	<.0001
Score	27.9620	6	<.0001
Wald	22.5697	6	0.0010

Parameter Estimates

Analysis of Maximum Likelihood Estimates
Parameter	DF	Estimate	Standard Error	Wald Chi-Square	Pr > ChiSq
Intercept	1	-1.9375	1.8042	1.1531	0.2829
sex	1	0.5613	0.5312	1.1166	0.2907
ses	1	0.1054	0.4688	0.0506	0.8221
birdkeep	1	1.3626	0.4113	10.9766	0.0009
age	1	-0.0398	0.0355	1.2552	0.2626
yrsmoke	1	0.0729	0.0265	7.5677	0.0059
cigday	1	0.0260	0.0255	1.0390	0.3081

Odds Ratios

Odds Ratio Estimates
Effect	Point Estimate	95% Wald Confidence Limits
sex	1.753	0.619	4.964
ses	1.111	0.443	2.785
birdkeep	3.906	1.745	8.747
age	0.961	0.896	1.030
yrsmoke	1.076	1.021	1.133
cigday	1.026	0.976	1.079

Association Statistics

Association of Predicted Probabilities and Observed Responses
Percent Concordant	77.4	Somers' D	0.549
Percent Discordant	22.5	Gamma	0.550
Percent Tied	0.0	Tau-a	0.246
Pairs	4802	c	0.775

Test Statement Results

Linear Hypotheses Testing Results
Label	Wald Chi-Square	DF	Pr > ChiSq
smoke	11.9058	2	0.0026