Table 2 Results of semiparametric PH mixture cure model and mixture cure frailty model fitting on HIV patients

Cure probability model (Incidence model)

Variable

Coefficient

SE

OR(95% CI)

Coefficient

SE

OR(95% CI)

Intercept

0.518

0.354

1.679(0.839,3.360)

0.544

0.305

1.723(0.948, 3.132)

Age(> 33/ <  = 33)

0.509

0.145

1.664(1.252,2.210)

0.498

0.141

1.645(1.248,2.169)

Gender (Male/ Female)

1.228

0.379

3.414(1.624,7.177)

1.214

0.335

3.367(1.746, 6.492)

Marital Status (Married/ Single)

-0.327

0.138

0.721(0.550,0.945)

-0.309

0.144

0.734(0.554, 0.974)

Antiretroviral therapy (Yes /No)

-2.028

0.143

0.132(0.099,0.174)

-2.035

0.159

0.131(0.096, 0.178)

Tuberculosis infection (Yes/No)

-0.147

0.183

0.863(0.603,1.236)

-0.147

0.153

0.863(0.640, 1.165)

Education (High /Low)

-1.218

0.419

0.296(0.130,0.672)

-1.241

0.498

0.289(0.109, 0.767)

Imprisonment(Yes /No)

-1.034

0.198

0.356(0.241,0.524)

-1.047

0.198

0.351(0.238, 0.517)

Drug Abuse(Yes /No)

-0.455

0.269

0.634(0.374,1.075)

-0.444

0.281

0.641(0.370, 1.113)

Occupational status (Employed/ Unemployed)

0.166

0.122

1.181(0.929,1.499)

0.167

0.138

1.182(0.902, 1.549)

Modes of HIV transmission (Injecting drug users/Other)

0.732

0.271

2.079(1.222,3.537)

0.720

0.262

2.054(1.229, 3.433)

Failure time distribution model (Latency model)

Variable

Coefficient

SE

HR(95% CI)

Coefficient

SE

HR(95% CI)

Age(> 33/ <  = 33)

0.046

0.073

1.047(0.907,1.208)

0.115

0.094

1.122(0.933, 1.349)

Gender (Male/ Female)

-0.221

0.229

0.802(0.512,1.256)

-0.227

0.293

0.770(0.449, 1.415)

Marital status (Married/ Single)

-0.024

0.084

0.976(0.828,1.151)

-0.093

0.103

0.911(0.745, 1.115)

Antiretroviral therapy (Yes /No)

-0.632

0.121

0.532(0.419,0.674)

-0.780

0.152

0.458(0.340, 0.617)

Tuberculosis infection (Yes /No)

0.252

0.073

1.287(1.115,1.485)

0.330

0.094

1.391(1.157, 1.672)

Education (High /Low)

-0.086

0.460

0.918(0.372,2.261)

-0.052

0.491

0.949(0.363, 2.485)

Imprisonment (Yes /No)

-0.355

0.088

0.701(0.590,0.833)

-0.466

0.108

0.628(0.508, 0.775)

Drug abuse (Yes /No)

-0.143

0.107

0.867(0.703,1.069)

-0.171

0.162

0.843(0.614, 1.158)

Occupational status (Employed/ Unemployed)

-0.003

0.075

0.997(0.861,1.155)

-0.027

0.096

0.973(0.806, 1.175)

Modes of HIV transmission (Injecting drug users/Other)

0.705

0.151

2.024(1.505,2.721)

0.888

0.195

2.430(1.658, 3.562)

Frailty parameter

-

-

-

0.380

0.066

(0.249, 0.510)