“…In this case, (Equation ) does not represent a true detection probability, but rather the “net” rate at which positive samples are correctly classified either due to the real detection process or due to a false‐positive error (Royle & Link, ). Consequently, the application of models that assume false‐positive errors only occur in the unoccupied state is not suitable for addressing questions regarding the efficacy of alternate sampling designs and laboratory procedures (Table , Figure ; e.g., Davenport et al., ; Pilliod, Goldberg, Arkle, & Waits, ; Wilcox et al., , ; Williams, Huyvaert, & Piaggio, ). By letting false‐positive errors arise in both occupancy states, in the model we present (Equation ) is a “correct” detection probability, thereby providing accurate inference concerning detection and enabling reliable optimization of diagnostic procedures (Table , Figure ).…”