Adaptive Operation Span

Technical Manual

Script Author: Katja Borchert, Ph.D. (katjab@millisecond.com), Millisecond

Created: January 29, 2019

Last Modified: January 17, 2025 by K. Borchert (katjab@millisecond.com), Millisecond

Script Copyright © Millisecond Software, LLC

Background

This script implements the Operation Span test subtest of the Adaptive Composite Complex Span Test (ACCES); an adaptive test of working memory with visuospatial ("symmetry span test"), mathematical ("operation span test") and verbal subtests ("reading span test") for children ages 8-13.

The ACCES was developed by Gonthier et al (2018). According to the authors "the test presents a fixed number of trials to all participants, allows for partial credit scoring, and can be used with children regardless of ability level. The ACCES demonstrated satisfying psychometric properties in a sample of 268 children aged 8┌13 years." (p.910)

All materials for the ACCES ┌ including the stimuli, an open source implementation of the task script under PsychoPy (Peirce, 2007), and all validation data ┌ can be accessed via the Open Science Framework platform at https://osf.io/bk7pm/.

Norms in this script (based on grade level) use the data provided by Gonthier et al (2018) collected with a sample of French students.

References

Gonthier, C., Thomassin, N., & Roulin, J.-L. (2016). The Composite Complex Span: French validation of a short working memory task. Behavior Research Methods, 48(1), 233-242. doi:10.?3758/?s13428-015-0566-3

Gonthier C, Aubry A, Bourdin B. (2018). Measuring working memory capacity in children using adaptive tasks: Example validation of an adaptive complex span. Behav Res Methods. Jun;50(3):910-921. doi: 10.3758/s13428-017-0916-4. PMID: 28643158.

Duration

9 minutes

Description

Participants work on 6 operation span test trials. Levels for each trial (after the first) are adapted based on performance.

Operation Span Test: a dual task involving the evaluation of simple math problems (e.g. '2 + 2 = 5') while also studying letters for a later recall test: Evaluation of Math Problem -> Letter Learning -> Evaluation of Math Problem -> Letter Learning.....-> Letter Recall

The number of 'Math-evaluations/Letter learning' combos depends on the level of difficulty (=span size) of the current test trial. All participants start at level 4. Depending on performance they move up, stay on the same level, or go down a level. The lowest level tested is level 2; the highest level tested is level 8.

The task provides 3 practice session before the actual 6 test trials are run: Practice 1: training of the letter recall task Practice 2: training of the math evaluation task Practice 3: dual training of the combined task

Procedure

level = span size

4 phases:

PHASE 1: Practice 1 -Letter Recall Training ("Memory Task")
Participants work on 2 trials (level 2, followed by level 3) with a fixed set of stimuli for each round.
During this phase, they only work on the letter recall task (no math problems are presented)

Trial Sequence:
blank (700ms)->Start Fixation Cross (presented for 1200ms) -> blank (for 500ms) ->
Letter (800ms) -> Blank (800ms) -> Letter (800ms) -> Blank (800ms) -> .......-> Blank (700ms)
-> Recall Screen (as long as needed, corrections possible)
-> Feedback (3000ms)

At the end of Practice1, recall performance is analyzed and the practice block is repeated
IF mean recall performance is under 70% correct.
(recall performance: the number of letters correctly recalled in the exact position of presentation)

PHASE 2: Practice 2 - Math Statement Evaluation Training ("Processing Task")
Participants work on 10 math statements (e.g. "2 + 2 = 6") and evaluate them to be 'true' or 'false'.
The math statements are the same for each participant and are presented in fixed order.
No letter recall task is run.

Trial Sequence:
blank (700ms)->Start Fixation Cross (presented for 1200ms) -> blank (for 500ms) ->
Math Statement (max. 8000ms) -> Feedback (3000ms) -> Blank (150ms) -> Math Statement (max. 8000ms) -> Feedback (3000ms)....

At the end of this practice round, evaluation performance is analyzed and the practice block is repeated
if the proportion correctly evaluated math statements is under 70% correct.
Furthermore, the duration of the math problem presentation for the test trials is calculated:
median time (in ms) the problems were answered + 2.5 x Median Absolute Deviation (MAD).
(Range: 2000ms - 8000ms)

PHASE 3: Practice 3 - Dual Task Training
Participants work on 2 combined trials (level 2, level 3). The stimuli are the same for all participants
and are presented in fixed order.

Trial Sequence:
blank (700ms)->Start Fixation Cross (presented for 1200ms) -> blank (for 500ms) ->
Math Statement (calculated presentation time during practice 2) -> Blank (150ms) ->
Letter (800ms) -> Blank (800ms) ->
Math Statement (calculated presentation time during practice 2) -> Blank (150ms) ->
Letter (800ms) -> Blank (800ms) -> .....

Letter (800ms) -> Blank (700ms) -> Recall Screen -> Summary Feedback (3000ms)


PHASE 4: Test (Dual Task)
Participants work on 6 combined trials (starting level = 4; levels are adjusted based on performance
thereafter). Each trial (1-6) presents the stimuli from the same stimuli lists in the same order
(though not all participants will work on all the possible stimuli of a particular trial as this is
level dependent). No more feedback is provided.

Trial Sequence:
blank (700ms)->Start Fixation Cross (presented for 1200ms) -> blank (for 500ms) ->
Math Statement (calculated presentation time during practice 2) -> Blank (150ms) ->
Letter (800ms) -> Blank (800ms) ->
Math Statement (calculated presentation time during practice 2) -> Blank (150ms) ->
Letter (800ms) -> Blank (800ms) -> .....

Letter (800ms) -> Blank (700ms) -> Recall Screen

During each round, the computer calculates
a. processing task performance (here: math performance)
b. recall performance
- the number of correctly recalled letters
- the total number of correctly recalled letters

At the end of each round, the next level is determined based on recall performance:
1. levels goes down by 1 for recall performance less than 60%
2. levels stay the same for 60% <= recall performance < 100%
3. levels go up by 1 for perfect recall performance (100% correct)

Stimuli

All stimuli are provided by Gonthier et al (2018)

All materials for the ACCES, including the stimuli, an open source implementation
of the task script under PsychoPy (Peirce, 2007), and all validation data can be accessed via the Open Science
Framework platform at https://osf.io/bk7pm/.

Instructions

Instructions are modelled after the ones used in the e-prime script provided
by Gonthier et al (2018).

The instructions in this script are provided by as htm/html pages and can be edited by changing the
provided htm/html files. To edit htm/html-files: open the respective documents in simple Text Editors
such as TextEdit (Mac) or Notepad (Windows).

See script acces_ospan_instructions_inc.iqjs

Summary Data

File Name: acces_OSPAN_summary*.iqdat

Data Fields

NameDescription
inquisit.version Inquisit version number
computer.platform Device platform: win | mac |ios | android
computer.touch 0 = device has no touchscreen capabilities; 1 = device has touchscreen capabilities
computer.hasKeyboard 0 = no external keyboard detected; 1 = external keyboard detected
startDate Date the session was run
startTime Time the session was run
subjectId Participant ID
groupId Group number
sessionId Session number
elapsedTime Session duration in ms
completed 0 = Test was not completed
1 = Test was completed
age The entered age of the participant
gradeLevel The entered grade level of the participant
gender The entered gender of the participant
osDurationS The OSPAN task duration in seconds
osTotalStimsRecalled The total number of matrix positions recalled across all 6 OSPAN test rounds
osZScore The calculated z-score of the total number of recalled matrix positions across all 6 OSPAN test rounds
osPercentile The calculated percentile of the z-score of the total number of recalled matrix positions across all 6 OSPAN test trials
mean and standard deviation used to calculate z-scorespercentile ranks are based on published data
by Gonthier et al (2018) using a sample of French students. For more detail see Gonthier et al (2018).
list.osProcessingAccOverall.mean The mean proportion correct Processing Task ('math problems') performance across
all 6 OSPAN test rounds
osProcessingTaskFlag 1 = the mean proportion correct OSPAN Processing Task ('math problems') performance is below 70% correct
(OSPAN performance is flagged)
0 = otherwise (OSPAN performance is not flagged)
list.osProcessingRTOverall.mean: mean correct processing response time (in ms)
list.osCurrentLevels.mean The average OSPAN span size worked on
list.osCurrentLevels.minimum The minimum OSPAN span size worked on (lowest possible span size tested: 2)
list.osCurrentLevels.maximum The maximum OSPAN span size worked on (highest possible span size tested: 8)
osLevel2Count Number of times span size 2 was run during the OSPAN
osLevel3Count Number of times span size 3 was run during the OSPAN
osLevel4Count Number of times span size 4 was run during the OSPAN
osLevel5Count Number of times span size 5 was run during the OSPAN
osLevel6Count Number of times span size 6 was run during the OSPAN
osLevel7Count Number of times span size 7 was run during the OSPAN
osLevel8Count Number of times span size 8 was run during the OSPAN
osLevelRound1 OSPAN span size tested during Round 1 (by default: 4)
osProblemCumAccRound1 Number of correctly answered OSPAN Processing Task ('math evaluation task') problems during Round 1
osProcessingAccRound1 Proportion correct OSPAN Processing Task ('math evaluation task') performance during Round 1
osStimsRound1 The presented OSPAN recall stims ('matrix positions') during Round 1 (in the order presented)
osRecallResponseRound1 The recalled OSPAN stims ('matrix positions') during Round 1 (in the order selected)
osNumberStimsRecalledRound1 The number of correctly recalled OSPAN stims ('matrix positions') during Round 1
osProcessingRTRound1 Mean correct processing task response time (in ms) in Round 1
osLevelRound2 OSPAN span size tested during Round 2
osProblemCumAccRound2 Number of correctly answered OSPAN Processing Task ('math evaluation task') problems during Round 2
osProcessingAccRound2 Proportion correct OSPAN Processing Task ('math evaluation task') performance during Round 2
osStimsRound2 The presented OSPAN recall stims ('matrix positions') during Round 2 (in the order presented)
osRecallResponseRound2 The recalled OSPAN stims ('matrix positions') during Round 2 (in the order selected)
osNumberStimsRecalledRound2 The number of correctly recalled OSPAN stims ('matrix positions') during Round 2
osProcessingRTRound2 Mean correct processing task response time (in ms) in Round 2
osLevelRound3 OSPAN span size tested during Round 3
osProblemCumAccRound3 Number of correctly answered OSPAN Processing Task ('math evaluation task') problems during Round 3
osProcessingAccRound3 Proportion correct OSPAN Processing Task ('math evaluation task') performance during Round 3
osStimsRound3 The presented OSPAN recall stims ('matrix positions') during Round 3 (in the order presented)
osRecallResponseRound3 The recalled OSPAN stims ('matrix positions') during Round 3 (in the order selected)
osNumberStimsRecalledRound3 The number of correctly recalled OSPAN stims ('matrix positions') during Round 3
osProcessingRTRound3 Mean correct processing task response time (in ms) in Round 3
osLevelRound4 OSPAN span size tested during Round 4
osProblemCumAccRound4 Number of correctly answered OSPAN Processing Task ('math evaluation task') problems during Round 4
osProcessingAccRound4 Proportion correct OSPAN Processing Task ('math evaluation task') performance during Round 4
osStimsRound4 The presented OSPAN recall stims ('matrix positions') during Round 4 (in the order presented)
osRecallResponseRound4 The recalled OSPAN stims ('matrix positions') during Round 4 (in the order selected)
osNumberStimsRecalledRound4 The number of correctly recalled OSPAN stims ('matrix positions') during Round 4
osProcessingRTRound4 Mean correct processing task response time (in ms) in Round 4
osLevelRound5 OSPAN span size tested during Round 5
osProblemCumAccRound5 Number of correctly answered OSPAN Processing Task ('math evaluation task') problems during Round 5
osProcessingAccRound5 Proportion correct OSPAN Processing Task ('math evaluation task') performance during Round 5
osStimsRound5 The presented OSPAN recall stims ('matrix positions') during Round 5 (in the order presented)
osRecallResponseRound5 The recalled OSPAN stims ('matrix positions') during Round 5 (in the order selected)
osNumberStimsRecalledRound5 The number of correctly recalled OSPAN stims ('matrix positions') during Round 5
osProcessingRTRound5 Mean correct processing task response time (in ms) in Round 5
osLevelRound6 OSPAN span size tested during Round 6
osProblemCumAccRound6 Number of correctly answered OSPAN Processing Task ('math evaluation task') problems during Round 6
osProcessingAccRound6 Proportion correct OSPAN Processing Task ('math evaluation task') performance during Round 6
osStimsRound6 The presented OSPAN recall stims ('matrix positions') during Round 6 (in the order presented)
osRecallResponseRound6 The recalled OSPAN stims ('matrix positions') during Round 6 (in the order selected)
osNumberStimsRecalledRound6 The number of correctly recalled OSPAN stims ('matrix positions') during Round 6
osProcessingRTRound6 Mean correct processing task response time (in ms) in Round 6
sOSPANTaskTrainingCount The number of times the OSPAN span task training was run (OSPAN practice 1)
osProcessingTaskTrainingCount The number of times the OSPAN processing task training was run (OSPAN practice 2)
osDualTaskTrainingCount The number of times the OSPAN span task training was run (OSPAN practice 3)
osProcessingTaskMaxDuration The maximum duration (in ms) that OSPAN processing Task problems ('math problems')
are presented during the Dual Task Training block (=practice3) and the actual Test rounds.
This duration was calculated based on the Median Processing Task Duration during
the Processing Task Training (=practice2)
'os ProcessingTask medianRT' + 2.5 x 'os Processing Task MAD RT'
osProcessingRTMeanPr2 The mean response latency answering OSPAN processing task problems ('math problems') during practice2
osProcessingRTMedianPr2 The median response latency answering OSPAN processing task problems ('math problems') during practice2
osProcessingRTMAD Median Absolute Deviation (MAD) of response latencies answering OSPAN processing task problems during practice2

Raw Data

File Name: acces_ospan_raw*.iqdat

Data Fields

NameDescription
build Inquisit version number
computer.platform Device platform: win | mac |ios | android
computer.touch 0 = device has no touchscreen capabilities; 1 = device has touchscreen capabilities
computer.hasKeyboard 0 = no external keyboard detected; 1 = external keyboard detected
date Date the session was run
time Time the session was run
subject Participant ID
group Group number
session Session number
blockcode The name the current block (built-in Inquisit variable)
blocknum The number of the current block (built-in Inquisit variable)
trialcode The name of the currently recorded trial (built-in Inquisit variable)
trialnum The number of the currently recorded trial (built-in Inquisit variable)
trialnum is a built-in Inquisit variable; it counts all trials run
even those that do not store data to the data file.
age The entered age of the participant
gradeLevel The entered grade level of the participant
gender The entered gender of the participant
phase Stores the name of the current task phase
roundCount Counts the rounds ("trials") run in the current phase
currentLevel Stores the levelspansize tested in the current round
processingTaskProblem Stores the current processing task problem (e.g. math problem) presented (PROCESSING TASK)
correctResponse Stores the correct response to the current processing task problem (TRUE vs. FALSE) (PROCESSING TASK)
processingTaskResponse Stores the given response to the current processing task problem (TRUE vs. FALSE) (PROCESSING TASK)
processingTaskAcc Stores the accuracy of the processing task response (PROCESSING TASK)
1 = correct
0 = error
processingTaskCumAcc Stores the number of correct processing task responses (PROCESSING TASK)
stim Stores the current recall stim (e.g. letter) presented (MEMORY TASK)
currentStims Stores the collected recall stims of the current round in the order presented (MEMORY TASK)
recallResponse Stores the recall stims of the current round in the order selected on the recall matrix (MEMORY TASK)
numberStimsRecalled Stores the number of correctly recalled stims of the current round (MEMORY TASK)
totalStimsRecalled Stores the total number of correctly recalled stims during the current task (MEMORY TASK)
stimulusItem The presented stimuli in order of trial presentation of the currently recorded trial
response The participant's response of the currently recorded trial
correct Accuracy of response: 1 = correct response; 0 = otherwise of the currently recorded trial
latency The response latency (in ms) of the current trial

Parameters

The procedure can be adjusted by setting the following parameters.

NameDescriptionDefault
User Interface Sizing Parameters
osFixationCrossHeight Sets the size of the fixation cross (presented during practice blocks) relative to canvas height30%
osMatrixSize Sets the size of the recall matrix relative to the canvas65%
osProblemHeight Sets the height of the presented equations relative to canvas height10%
osStimHeight Sets the height of the letters (to be recalled) relative to canvas height20%
Duration Parameters
osPreFixationDuration Sets the duration (in ms) of the blank space that precedes the fixation cross at the beginning of each trial700
osFixationDuration Sets the duration (in ms) of the fixation cross presented on screen1200
osFixationStimISI Sets the duration (in ms) of the blank space that follows the fixation cross before the first letter is presented500
osProcessingProblemMaxDuration Sets the max duration (in ms) that an equation is presented on screen (used during practice 2)8000
osProcessingProblemMinDuration Sets the minimum duration (in ms) that an equation is presented on screen2000
osProcessingResponseISI Sets the duration (in ms) of the blank space that follows a response to the equation problem before the next letter is presented150
osStimPresentationDuration Sets the duration (in ms) that each letter is presented on screen800
osIsi Sets the duration (in ms) of the blank space that follows the presentation of a letter before the next letter/next equation is presented800
osRecallDelay Sets the duration (in ms) of the blank space that follows the last letter before the recall matrix is presented700
Procedure Parameters
osSingleTaskFeedbackDuration Sets the duration (in ms) of the final performance feedback text presented during the single task practice sessions (practice1/practice2)3000
osProcessingTaskImmediateFeedbackDuration Sets the duration (in ms) of the intermittend feedback presented during the processing Task Training3000
osDualTaskFeedbackDuration Sets the duration (in ms) of the performance feedback text presented for the dual task training performance (practice3)3000
osStartLevel Sets the start level for the ospan test, should not be changed unless the necessary stimuli are provided4
osPracticeMinAcc Defines the lowest proportion correct that needs to be achieved during practice1&2 to move on to the next phase0.7
osLevelDecrease Performance under 60% correct results in decreasing the level for the next round0.6
osLevelIncrease Performance at 100% results in increasing the level for the next round1
Debug
osDebugmode Debug Stimuli: should be set to 0 for the actual test (if set to 1 the correct letters show up on the recall screen)0