ABdesign {designsize} | R Documentation |

## Sample size determination for A + B escalation design without dose de-escalation

### Description

Determination of sample size for each dose level using A + B escalation design without dose de-escalation

### Usage

```
ABdesign(A, B, C, D, E, prop=c())
```

### Arguments

`A` |
Number patients at the dose level i |

`B` |
Number of patients add at the dose level i when more than D number of patients have DLT |

`C` |
Predetermined number patients out of A. |

`D` |
Predetermined number patients out of A and D>=C |

`E` |
Predetermined number patients out of A+B and E>=D |

`prop` |
Vector of DLT rates at different dose level |

### Details

Let there are "A" patients at the dose level "i" and also consider "C" and "D" as predetermined value where (D >= C).

If less than C patients have DLTs out of A patints then we escalate the dose at (i+1)th level and if more than D have the DLT's out of A then we consider the previous dose level (i-1)th as MTD(maximum dose level with toxicity rates occurring no more than a predetermined value).

If more than C and less than D patients have DLTs then we add B more patients at the ith dose level and then if more than E (E >= D) out of (A+B) patients have the DLTs then we consider the previous dose level as MTD.

Now we are going to determine the expected number of sample size at the jth dose level.

# prop = Vector of DLT rates at different dose level

# n = Total number of doses

# N = Vector of expected number of patients at different level of doses

### Value

The expected number of patients at dose levels

### Author(s)

Atanu Bhattacharjee, Rajashree Dey ,Soutik Halder and Akash Pawar

### See Also

crt.match crt.unmatch phsize precsize

### Examples

```
# This is A+B escalation design without dose de-escalation. Here A=3 , B=3 indicates the
# number of patients at the dose level i and taking C=D=E=1 the predetermined number of
# patients with DLT. Prop indicates the vector of the DLT rates at different dose level.
ABdesign(A = 3,B = 3,C = 1,D = 1,E = 1,prop= c(0.01,0.014,0.025,0.056,0.177,0.594,0.963))
```

*designsize*version 0.1.0 Index]