Tables of d’ for detection and localization

Hershman, Ramon L.

doi:10.3758/bf03212476

Cited by 3 publications

(3 citation statements)

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“…319-322). Tables for other tasks have been published by Craven (1992), Hershman and Small (1968), Kaplan, Macmillan, and Creelman (1978), and Macmillan and Creelman (1991, pp. 323-354).…”

Section: Tabular Methodsmentioning

confidence: 99%

Calculation of signal detection theory measures

Stanislaw

Todorov

1999

Behavior Research Methods, Instruments, & Computers

2,597

2,203

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Signal detection theory (SDT) may be applied to any area of psychology in which two different types of stimuli must be discriminated. Wedescribe several of these areas and the advantages that can be realized through the application of SDT. Three of the most popular tasks used to study discriminability are then discussed, together with the measures that SDT prescribes for quantifying performance in these tasks. Mathematical formulae for the measures are presented, as are methods for calculating the measures with lookup tables, computer software specifically developed for SDTapplications, and general purpose computer software (including spreadsheets and statistical analysis software).Signal detection theory (SOT) is widely accepted by psychologists; the Social Sciences Citation Index cites over 2,000 references to an influential book by Green and Swets (1966) that describes SOT and its application to psychology. Even so, fewer than half ofthe studies to which SOT is applicable actually make use ofthe theory (Stanislaw & Todorov, 1992). One possible reason for this apparent underutilization of SOT is that relevant textbooks rarely describe the methods needed to implement the theory. A typical example is Goldstein's (1996) popular perception textbook, which concludes a nine-page description of SOT with the statement that measures prescribed by SOT "can be calculated ... by means of a mathematical procedure we will not discuss here" (p. 594).The failure of many authors to describe SOT's methods may have been acceptable when lengthy, specialized tables were required to implement the theory. Today, however, readily available computer software makes an SOT analysis no more difficult than a t test. The present paper attempts to demonstrate this and to render SOT available to a larger audience than currently seems to be the case.We begin with a brief overview of SOT, including a description of its performance measures. We then present the formulae needed to calculate these measures. Next, we describe different methods for calculating SOT measures. Finally, we provide sample calculations so that readers can verify their understanding and implementation of the techniques.Weare indebted to

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“…319-322). Tables for other tasks have been published by Craven (1992), Hershman and Small (1968), Kaplan, Macmillan, and Creelman (1978), and Macmillan and Creelman (1991, pp. 323-354).…”

Section: Tabular Methodsmentioning

confidence: 99%

Calculation of signal detection theory measures

Stanislaw

Todorov

1999

Behavior Research Methods, Instruments, & Computers

2,597

2,203

View full text Add to dashboard Cite

show abstract

“…The tables given by Elliott (1964) were then entered to obtain d'. For the 3AFC trials, we recovered d' from the approximation reported by Elliott (1964, p. 680), and for the DAL trials we used the tables of Hershman and Small (1968). The three d's for each S P(r_ I t_)= (Hd'/2»)2.…”

Section: Consistency Of D'mentioning

confidence: 99%

“…They then obtained the relation between per cent correct and the detectability index, d', defined as the normalized separation between the distributions. These results were published in tabular form for eight values of k between 2 and 100 (Hershman & Small, 1968) and will be used to extract d' from our experimentally obtained values of per cent correct. In deriving the tables, it was assumed throughout that the 0 set his likelihood ratio criterion in the optimum fashion.…”

mentioning

confidence: 99%