---
title: "Clinical Trials"
output: rmarkdown::html_vignette
vignette: >
  %\VignetteIndexEntry{Clinical Trials}
  %\VignetteEngine{knitr::rmarkdown}
  %\VignetteEncoding{UTF-8}
---

```{r setup, include = FALSE}
knitr::opts_chunk$set(collapse = TRUE, comment = "#>")
library(ggpower)
```

The **Clinical Trials** module covers Phase III superiority, non-inferiority,
equivalence, oncology two-stage, cluster RCT, survival, and count endpoints.

## Phase III superiority

```{r sup-cont}
power_compute(
  "rct_superiority_continuous",
  analysis = "post_hoc",
  d = 0.4,
  alpha = 0.025,
  n1 = 120,
  n2 = 120
)
```

```{r sup-binary}
power_compute(
  "rct_superiority_binary",
  analysis = "a_priori",
  p0 = 0.3,
  p1 = 0.45,
  alpha = 0.025,
  power = 0.9,
  n1 = 50,
  n2 = 50
)
```

```{r sup-multi}
power_compute("multi_arm_superiority", "a_priori", f = 0.25, groups = 3,
              alpha = 0.05, power = 0.8)
```

## Non-inferiority

```{r ni-cont}
power_compute("rct_noninferiority_continuous", "a_priori", d = 0.1,
              ni_margin = 0.2, alpha = 0.025, power = 0.8, n1 = 100, n2 = 100)
```

```{r ni-binary}
power_compute("rct_noninferiority_binary", "post_hoc", p0 = 0.5, p1 = 0.55,
              ni_margin = 0.1, alpha = 0.025, n1 = 200, n2 = 200)
```

## Equivalence (TOST)

```{r eq-cont}
power_compute("rct_equivalence_continuous", "a_priori", d = 0,
              eq_margin = 0.2, alpha = 0.05, power = 0.8, n1 = 80, n2 = 80)
```

```{r eq-prop}
power_compute("rct_equivalence_proportion", "post_hoc", p0 = 0.5, p1 = 0.52,
              eq_margin = 0.1, alpha = 0.05, n1 = 150, n2 = 150)
```

## Simon two-stage (Phase II)

`simon_two_stage` supports `post_hoc` and `sensitivity` only.

```{r simon}
power_compute("simon_two_stage", "post_hoc", p0 = 0.2, p1 = 0.4,
              r1 = 4, r = 10, n1 = 20, n2 = 20, alpha = 0.05)
```

## Cluster RCT

```{r cluster}
power_compute("cluster_rct", "a_priori", d = 0.4, icc = 0.05,
              cluster_size = 10, n_clusters = 20, alpha = 0.05, power = 0.8)
```

## Survival endpoints

```{r surv}
power_compute("survival_pmu", "a_priori", hazard_ratio = 0.65,
              event_rate = 0.5, alpha = 0.05, power = 0.8)
```

## Binary and count endpoints

```{r binary}
power_compute("rct_superiority_binary", "post_hoc", p0 = 0.3, p1 = 0.45,
              alpha = 0.025, n1 = 120, n2 = 120)
```

```{r count}
power_compute("count_endpoint_poisson", "a_priori", exp_beta1 = 1.3,
              base_rate = 0.85, exposure = 1, alpha = 0.05, power = 0.9,
              total_n = 250)
```

## Related

- [Biomarker endpoints](biomarker-endpoints.html)
- [Scenario guide](scenario-guide.html)
- [Support matrix](support-matrix.html)