Calculation of signal detection theory measures

Stanislaw, Todorov · Behavior Research Methods, Instruments, & Computers · 1999 · quantitative-psychology · 10.3758/bf03207704 · record stanislaw1999-calculation-of-signal-detection-th
tag layer · index · concepts · authors · עברית
Where this record's text came from. faceted 2026-08 by reading the locally held text (pdftext); every evidence string verified as an exact substring of that text before merging. limitations is empty on purpose: the paper states many limits of the measures and tools it reviews (e.g. that tabular methods have poor accuracy, that d' is indeterminate when one rate is extreme, that OLS gives biased slopes for rating data), but it never states a limit of its own tutorial, and rule 6 restricts this facet to the paper's own limits. method is tagged 'review' as the nearest available label; the article is really a methodological tutorial with worked formulae and a computational example, not a survey of findings, and the controlled list has no 'tutorial' value. The two claim relations are corrections of named prior work rather than framework debts; the paper's debt to Green and Swets (1966) is only a bare pointer, so it is not recorded. 2026-08-14, 2026-08-15 and 2026-08-25 schema-0.3 passes: every quote verified as an exact substring of the staged text and anchored at merge time; concept terms verified present; every edge endpoint an existing node.
This record’s own method is review, and the tags below follow from that. A review’s findings, quantities and statistics are things stated IN this paper, and some of them report results obtained elsewhere. No tag on this page names a different author. Measured across every review in this corpus, 81% of a review’s tags carry no citation at all — most of them are the review speaking. The corpus does not adjudicate the rest: read an unmarked tag as a claim this paper makes, not necessarily one it made first.
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Other fields define these differently the same word, defined another way in another discipline
noise 2 fields

Tags on this paper

Every tag the record carries, each linking to every other paper in the corpus that carries it. A tag appears here whether or not its words occur in the article — the spans below are only the ones a sentence in this paper licenses. Of the 7 concept tags on this paper, all 7 are grounded in a quoted sentence.
d' assumptions response bias signal detection theory signal noise recognition memory medical diagnosis Signal detection theory is underused because textbooks describe the theory but omit the computational methods needed to implement it. Moving the criterion shifts hit and false-alarm rates together, so a liberal criterion inflates both; only reducing the overlap of the signal and noise distributions can raise hits while lowering false alarms. Ordinary least squares yields biased ROC slope and intercept estimates because it assumes only one variable carries error, while both rate z scores are measured with sampling error. a theory is under-used because its methods are omitted, not doubted criterion d' the d' assumptions receiver operating characteristic (ROC) curve ROC area m-alternative forced-choice (mAFC) task loglinear approach hits false alarms signal distribution noise distribution d' (sensitivity index) A' (nonparametric sensitivity measure) beta (likelihood-ratio response bias measure) regression (ordinary least squares) using OLS to regress zH on Z F correlation The correlation between the hit rate and the false-alarm rate z scores ROC curve fitting (slope and intercept in z space) review

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relation to other workclaim_relationshow this paper stands to another: agrees, contradicts, extends, qualifies
claim typeclaim_typethe shape of the claim: existence, mechanism, method, critique, prediction, null
concept edgeconcept_edgesan asserted relation between two concepts, with the sentence asserting it
conceptconceptsan idea the paper works with, quoted where the paper uses it
content tagcontent_tagsa finding, definition, quantity, statistic or variable named in the paper
limitationlimitationswhat the paper says its evidence cannot support
mechanismmechanismshow the reported effect is said to come about
methodmethodhow the paper produced its evidence
phenomenonphenomenonthe effect or regularity under study
sensesensesa distinct use of a term, quoted where the paper fixes it
transfertransfersa method or concept carried in from another field

The paper

The full text is not reproduced here. This article is not cleared for redistribution, so the page carries the tag layer only. Its evidence sentences are withheld; the grounding status remains with each tag, and the article itself is at https://doi.org/10.3758/bf03207704. The reading view exists for the papers whose licence permits it.

Every tag on this page

claim_relations 2 · claim_type 1 · concept_edges 1 · concepts 7 · content_tags 31 · limitations 4 · mechanisms 4 · method 1 · phenomenon 1 · senses 3 · transfers 1

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facettagfieldconf.whose words
claim_typemethod
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claim_typethe paper's words
phenomenonsignal detection theory measures of sensitivity and response bias
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phenomenonthe paper's words
methodreview
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also in: review
methodthe paper's words
mechanismsmechanisms
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mechanisms[0]the tagger's words
mechanismsmechanisms
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mechanisms[1]the tagger's words
mechanismsmechanisms
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mechanisms[2]the tagger's words
mechanismsTextbooks describe the theory and then decline to give the calculation - the paper quotes one concluding a nine-page treatment with the statement that the measures can be calculated by a procedure it will not discuss. Fewer than half the studies that could use SDT do.
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mechanisms[3]0.9the tagger's words
limitationsThe two assumptions d-prime rests on cannot be tested in the task where d-prime is most used; rating tasks are required instead.
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what this limits: a d-prime computed from a yes/no task: the paper states the d-prime assumptions cannot actually be tested in yes/no tasks and that rating tasks are required to test them
limitations[0]1.0the tagger's words
limitationsOne of the two assumptions is singled out as particularly doubtful for some yes/no tasks.
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what this limits: d-prime as a pure sensitivity measure in a yes/no task: the paper states the assumptions may not be tenable and that equality of the signal and noise standard deviations is particularly suspect
limitations[1]1.0the tagger's words
limitationsThe common bias measure carries its own assumption about how responses are generated.
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what this limits: a beta value reported as response bias: its use assumes
limitations[2]1.0the tagger's words
limitationsThe paper's case that the barrier is now gone rests on a comparison rather than a measurement - that software makes the analysis no harder than a t test.
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limitations[3]0.85the tagger's words
transferssignal detection theory, carried into psychology to quantify discrimination between two stimulus types - and it brought its vocabulary with it, so psychological stimuli are still called 'signal' and 'noise'
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transfers[0]0.8the tagger's words
conceptsd' assumptions
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concepts[0]the paper's words
conceptsresponse bias
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also in: response bias
concepts[1]the paper's words
conceptssignal detection theory
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concepts[2]the paper's words
conceptssignal
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also in: signal
concepts[3]0.95the paper's words
conceptsnoise
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also in: noise
concepts[4]0.95the paper's words
conceptsrecognition memory
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concepts[5]0.9the paper's words
conceptsmedical diagnosis
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concepts[6]0.9the paper's words
sensesthe d' assumptions - NAMED AND UNTESTABLE IN PLACE: normality and equal standard deviations, which the paper says cannot be tested in the yes/no task itself
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senses[0]1.0the tagger's words
sensesdiscriminability versus response bias - the distinction the paper says is so critical that it is illustrated with five examples from widely disparate areas of study
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senses[1]1.0the tagger's words
sensessignal / noise - in this paper NOT perceptual stimuli but whichever two categories a domain must discriminate: old/new items, lies/truths, guilty/innocent defendants, diseased/well patients. The words are inherited from perception and the referents are not
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senses[2]0.95the tagger's words
claim_relationsextends → Grier (1971)
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claim_relations[0]the tagger's words
claim_relationscontradicts → Macmillan and Creelman (1996)
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claim_relations[1]the tagger's words
concept_edgessignal —distinct-from→ noise
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differs in: NOTHING FIXED - the contrast is whatever the domain supplies. Across the seven applications listed in one sentence it is old against new, lie against truth, guilty against innocent, diseased against well. The pair names a CONTRAST STRUCTURE, not two things · strength of the relation: 0.9
also in: signal · noise
concept_edges[2]0.95the tagger's words
content_tagsd' (sensitivity index)
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content_tags.statistics[0]the tagger's words
content_tagsA' (nonparametric sensitivity measure)
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content_tags.statistics[1]the tagger's words
content_tagsbeta (likelihood-ratio response bias measure)
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content_tags.statistics[2]the tagger's words
content_tagsregression (ordinary least squares)
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content_tags.statistics[3]the tagger's words
content_tagscorrelation
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also in: correlation
content_tags.statistics[4]the tagger's words
content_tagsROC curve fitting (slope and intercept in z space)
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content_tags.statistics[5]the tagger's words
content_tagsThe major contribution of signal detection theory to psychology is that it separates response bias from sensitivity.
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content_tags.findings[0]the tagger's words
content_tagsDespite wide acceptance of the theory, fewer than half of the studies to which signal detection theory applies actually use it.
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content_tags.findings[1]the tagger's words
content_tagsFitting ROC data by ordinary least squares gives biased slope and intercept estimates, because in rating tasks both the hit-rate and the false-alarm-rate z scores carry sampling error rather than only one of them.
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content_tags.findings[2]the tagger's words
content_tagsIn the worked example OLS gave the misleading impression that the signal and noise distributions have equal standard deviations.
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content_tags.findings[3]the tagger's words
content_tagsThe violated equal-variance assumption explains why the d' values from different criteria varied so widely.
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content_tags.findings[4]the tagger's words
content_tagsLookup tables are an inaccurate route to SDT measures because they force hit and false-alarm rates to be rounded, usually to two significant digits, and some published tables contain wrong entries.
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content_tags.findings[5]the tagger's words
content_tagscriterion
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also in: criterion
content_tags.definitions[0]the tagger's words
content_tagsresponse bias
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also in: response bias
content_tags.definitions[3]the tagger's words
content_tagsd'
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also in: d'
content_tags.definitions[4]the tagger's words
content_tagsthe d' assumptions
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content_tags.definitions[5]the tagger's words
content_tagsreceiver operating characteristic (ROC) curve
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content_tags.definitions[7]the tagger's words
content_tagsROC area
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also in: ROC area
content_tags.definitions[8]the tagger's words
content_tagsm-alternative forced-choice (mAFC) task
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content_tags.definitions[9]the tagger's words
content_tagsloglinear approach
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content_tags.definitions[10]the tagger's words
content_tagshits
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also in: hits
content_tags.definitions[11]the tagger's words
content_tagsfalse alarms
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also in: false alarms
content_tags.definitions[12]the tagger's words
content_tagssignal distribution
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content_tags.definitions[13]the tagger's words
content_tagsnoise distribution
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content_tags.definitions[14]the tagger's words
content_tagsover 2,000 — citations to Green and Swets (1966) recorded in the Social Sciences Citation Index, used to argue SDT is widely accepted
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content_tags.quantities[0]the tagger's words
content_tags.9332 — hit rate in the illustrative Figure 1 example, the proportion of the signal distribution above the criterion
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content_tags.quantities[1]the tagger's words
content_tags50 signal trials and 25 noise trials — size of the hypothetical rating-task data set used for the worked computational example
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content_tags.quantities[2]the tagger's words
content_tagsd' = 1.56 — sensitivity computed for the second criterion of the worked example (hit rate .92, false-alarm rate .44)
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content_tags.quantities[3]the tagger's words
content_tagsA' = .84 — nonparametric sensitivity for the same pair of rates in the worked example
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content_tags.quantities[4]the tagger's words
content_tagsslope of 1.28 and an intercept of 1.52 — ROCFIT's fitted z-space ROC parameters for the example rating data, from which Az is computed
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content_tags.quantities[5]the tagger's words
content_tagsr = .90 — correlation between hit-rate and false-alarm-rate z scores in the example, shown still to leave the two OLS slopes far apart
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content_tags.quantities[6]the tagger's words

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