sensR (version 1.2.2)

SDT: Signal Detection Theory Computation of d-prime

Description

The function computes d-prime for any 2 x J table where J >= 2 for the "yes--no" or "A-Not A" experiment using the Signal Detection Theory (SDT) algorithm to compute J-1 d-prime's. The algorithm is also called the "empirical probit transform". The function also provides the "logit" counterpart.

Usage

SDT(tab, method = c("probit", "logit"))

Arguments

tab

A 2 x J table with true class relation in rows (only two true classes) and the J-class response in columns

method

should the empirical probit or logit transform be computed?

Value

• A (J-1) x 3 matrix. The first two columns contains the z-transform of the Hit rate and the False Alarm rate respectively---ready to plot along with the empirical ROC curve. The third column contains the estimated d-primes.

References

MacMillan , A. N. and Creelman, C. D (2005) Detection Theory A User's Guide. Lawrence Elbaum Associates, Inc. 2nd edition.

Examples

### Design table:
## 8  "yes"-responses to no-samples
## 1  "yes"-responses to yes-samples
## 17 "no"-response to no-samples
## 24 "no"-responses to yes-samples
## Note that response-class is columnwise and true-class is rowwise. 
(mat <- matrix(c(8, 17, 1, 24), 2, byrow = TRUE))
SDT(mat, "logit")
SDT(mat, "probit")
## compare to AnotA():
AnotA(8, 25, 1, 25)
## Multi-response-class example (odor example from MacMillan and
## Creelman, 2005)
(odor <- matrix(c(112, 112, 72, 53, 22, 4, 7, 38, 50, 117, 101, 62), 2,
               byrow = TRUE))
obj <- SDT(odor)
ROC(obj[3,3])