In which preference assessment are selected items returned to the array after each trial?

In conducting a preference assessment, the method that involves returning selected items to the array after each trial is beneficial for consistently evaluating an individual's preferences over time. This method allows for a more extensive examination of choices, as it enables the same items to be chosen multiple times across different trials.

Using the multiple-stimulus with replacement strategy means that after an item is selected by the individual, it is put back into the array for future selections. This ensures that each item continues to influence choice opportunities, providing a robust understanding of the individual's preferences. It also allows for variability in selections across trials and helps in identifying items that are particularly reinforcing or preferred.

In contrast, other methods like the multiple-stimulus without replacement, single-item approach, and paired-stimulus do not return selected items back to the array after each trial. These methods limit the frequency of particular items being selected in subsequent trials, which can prevent a full picture of preferences from being developed. Therefore, the multiple-stimulus with replacement is the correct choice for maintaining item availability and gathering comprehensive preference data.