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Exam (elaborations)

BCBA Exam Formulas – Verified Study Guide & Calculations for 2026

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This BCBA Exam Formulas guide provides a complete set of verified formulas and calculation examples used in Applied Behavior Analysis and BACB assessments. Updated for 2026, it includes essential formulas for measurement, data analysis, behavior rate calculations, and intervention evaluation. Ideal for BCBA candidates seeking to strengthen quantitative reasoning, improve exam performance, and efficiently apply ABA principles in professional practice

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Uploaded on
December 2, 2025
Number of pages
1
Written in
2025/2026
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BCBA Exam Formulas
Total Count IOA - Smaller #/Larger # x 100%

Mean Count-Per-Interval IOA - Int 1 IOA + Int 2 IOA + Int N IOA/Total # of Intervals
x 100%

Exact Count-Per-Interval IOA - # of Intervals of 100% agreement/total # of Intervals x
100%

Trial-by-Trail IOA - # of Trials of Agreement/Total # of Trials x 100%

Total Duration IOA - Shorter Duration/Longer Duration x 100%

Mean Duration (or IRT)-Per-Occurrence IOA - Duration IOA B1 + Duration IOA B2 +
Duration IOA Bn/n Behaviors with Duration IOA

Interval-By-Interval IOA - # of Intervals Both Recorders Agree/Total # of Intervals x
100%

Scored Interval IOA - # of Intervals Both Recorders Recorded Occurrence/# of Intervals
AT LEAST ONE Recorder Recorded Occurrence x 100%

Unscored Interval IOA - # of Intervals Both Recorders Recorded Non-Occurrence/# of
Intervals AT LEAST ONE Recorder Recorded Non-Occurrence x 100%

For Increasing Behaviors f- fBaseline fAverage f< fInitial fCriterion f</= fHighest fPerformance
fin fBaseline


For fDecreasing fBehaviors f- fBaseline fAverage f> fInitial fCriterion f>/= fLowest
fPerformance fin fBaseline


Setting fInitial fNCR fSchedule f- fTotal fDuration fof fAll fBaseline fSessions/Total f# fof
fBehaviors fRecorded fDuring fBaseline fSessions


Setting fInitial fDRO fInterval f- fTotal fDuration fof fAll fBaseline fSessions/Total f# fof
fBehaviors fRecorded fDuring fBaseline fSessions


Full fSession fDRL f- fTotal f# fof fBehaviors fRecorded fDuring fBaseline fSessions/Total f# fof
fEach fBaseline fSession


Interval f& fSpaced fResponding fDRL f- fTotal fDuration fof fBaseline fSessions/Baseline
fAverage fof fBehaviors fper fBaseline fSessions f= f# fof fBehaviors fper fduration


Conditional fProbabilities f- f# fof fBehaviors fPreceded fby fa fSpecific fAntecedent f&/or
fFollowed fby fa fSpecific fConsequence/Total f# fof fBehaviors f- falways freported fin fdecimal
fform
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