`library(GenTwoArmsTrialSize)`

- Example 1. Sample Size for two arms continuous end point clinical trial with noncompliance and expected loss of follow-up

```
getSizeMean(design="parallel", test="equivalence", alpha=0.05,
beta=0.20, sigma=0.10, k=1, delta=0.05, TTE=0.01,
rho=c(0.05, 0.07), r=0.1)
#> n_trt n_ctl
#> Size 113 113
```

- Example 2. Sample Size for two arms binary end point clinial trial with noncompliance and expected loss of follow-up

```
getSizeProp(design="crossover", test="superiority", alpha=0.05,
beta=0.20, varsigma=c(0.5, 0.5), k=1, seqnumber=2,
delta=0.10, TTE=0, rho=c(0.05, 0.07), r=0.1)
#> n_trt n_ctl
#> Size 86 86
```

- Example 3. Sample Size for two arms time to event point clinial trial with noncompliance and expected loss of follow-up

```
getSizeTTE(design="parallel", test="equality", alpha=0.05, beta=0.20,
varlambda=c(1,2), k=1, ttotal=3, taccrual=1,
gamma=0.00001, delta=1, rho=c(0.05, 0.07), r=0.1)
#> [1] 1.192941
#> [1] 3.759987
#> n_trt n_ctl
#> Size 56 56
```

- Example 4: Sample Size for two arms ordinal point clinial trial with noncompliance and expected loss of follow-up

```
getSizeOrd(design="parallel", test="equality", alpha=0.05, beta=0.10,
varcatprob= list(c(0.2,0.5,0.2,0.1),
c(0.378,0.472,0.106,0.044)),
k=1, theta=0.877, delta=0, rho=c(0.05, 0.07), r=0.1)
#> n_trt n_ctl
#> Size 138 138
```

Chow, Shein-Chung, Jun Shao, Hansheng Wang, and Yuliya Lokhnygina. 2018.
*Sample Size Calculations in Clinical Research*. Third edition.
Chapman & Hall/CRC Biostatistics Series. Boca Raton: CRC Press,
Taylor & Francis Group.

Julious, Steven A. 2023. *Sample Sizes for Clinical Trials*.
Second edition. Boca Raton, FL: CRC Press.

Lachin, John M., and Mary A. Foulkes. 1986. “Evaluation of Sample
Size and Power for Analyses of Survival with Allowance for Nonuniform
Patient Entry, Losses to Follow-up, Noncompliance, and
Stratification.” *Biometrics* 42 (3): 507–19.

Sato, Tosiya. 2000. “Sample Size Calculations with Compliance
Information.” *Statistics in Medicine* 19 (19): 2689–97.

Whitehead, John. 1993. “Sample Size Calculations for Ordered
Categorical Data.” *Statistics in Medicine* 12 (24):
2257–71.

Wittes, Janet. 2002. “Sample Size Calculations for Randomized
Controlled Trials.” *Epidemiologic Reviews* 24 (1): 39–53.