---
title: "Generating Profiles"
output: rmarkdown::html_vignette
vignette: >
  %\VignetteIndexEntry{Generating Profiles}
  %\VignetteEngine{knitr::rmarkdown}
  \usepackage[utf8]{inputenc}
  \usepackage{xcolor}
  \usepackage{bbding}
bibliography: "`r here::here('vignettes', 'library.bib')`"
---

```{r setup, include=FALSE, message=FALSE, warning=FALSE}
knitr::opts_chunk$set(
  collapse = TRUE,
  warning = FALSE,
  message = FALSE,
  fig.retina = 3,
  comment = "#>"
)

set.seed(123)
```

# Generating all possible profiles

The first step in designing an experiment is to define the attributes and levels for your experiment and then generate all of the `profiles` of each possible combination of those attributes and levels. 

For example, let's say you're designing a conjoint experiment about apples and you want to include `price`, `type`, and `freshness` as attributes. You can obtain all of the possible profiles for these attributes using the `cbc_profiles()` function:

```{r}
library(cbcTools)

profiles <- cbc_profiles(
  price     = seq(1, 5, 0.5), # $ per pound
  type      = c('Fuji', 'Gala', 'Honeycrisp'),
  freshness = c('Poor', 'Average', 'Excellent')
)

profiles
```

# Restricted profiles

Depending on the context of your survey, you may wish to eliminate some profiles before designing your conjoint survey (e.g., some profile combinations may be illogical or unrealistic). 

> **CAUTION: including restrictions in your designs can substantially reduce the statistical power of your design, so use them cautiously and avoid them if possible**.

If you do wish to restrict some attribute level combinations, you can do so using the `cbc_restrict()` function, which takes the full set of `profiles` along with any number of restricted pairs of attribute levels, defined as pairs of logical expressions separated by commas. The example below includes the following restrictions (these are arbitrary and just for illustration purposes):

- `"Gala"` apples will not be shown with the prices `1.5`, `2.5`, and `3.5`.
- `"Honeycrisp"` apples will not be shown with prices less than `2`.
- `"Fuji"` apples will not be shown with the `"Excellent"` freshness.

With these restrictions, there are now only 57 profiles compared to 81 without them:

```{r}
restricted_profiles <- cbc_restrict(
    profiles,
    type == "Gala" & price %in% c(1.5, 2.5, 3.5),
    type == "Honeycrisp" & price < 2,
    type == "Fuji" & freshness == "Excellent"
)

dim(restricted_profiles)
```

Once you have your profiles, you can use them to generate an experiment design with `cbc_design()`. See the [Generating Designs](design.html) article for more details.