Working Memory
Water Level Task
Also called: water-level test, Piaget's water-level task, horizontality task, water level problem, WLT
Measure how people represent the horizontal: participants set the water line in a half-full bottle tilted up to 60 degrees, scored by the mean distance of the lines from level.
4-6 minUntimed
Free to start: 10 free participants per account, then $0.99 per participant for academic research, or any yearly plan. Try it here first, with no account.
- Papers, 2021 to 2025
- 20
- Evidence grade
- D
- Registered clinical studies
- 0
What it measures
Measures whether people show the surface of still water as level whatever the tilt of its container, the water-level task of Piaget and Inhelder. Each screen shows a half-full bottle drawn by the task's code, upright or tilted 15 to 60 degrees to either side, and participants set its water line by pressing and dragging. The main score is the mean distance of the lines from level, in degrees.
Constructs
- Representation of the horizontal
- Spatial frames of reference
- Spatial perception
Research uses
- Spatial cognition and frame-of-reference research
- Development of spatial concepts in children
- Training and intervention studies of spatial skills
- Within-study comparison
How the paradigm works
The Water Level Task asks people to show where the surface of still water lies in a tilted bottle. Each screen shows a bottle drawn by the task's own code, half full, upright or tilted 15, 30, 45 or 60 degrees to the left or right, with no water drawn. A press on the drawing sets the water line through the bottle's middle, pointing at the press; a drag turns it, and two buttons and the arrow keys turn it half a degree at a time. Done sets it, with no time limit. The bottle is half full, so its surface passes through the middle at any tilt and only the line's angle is set.
More about the paradigm
Piaget and Inhelder (1956) introduced the task to study how children come to use the horizontal as a frame of reference. It has no standard set of bottles, and each study draws its own (Morawietz and colleagues 2024). Many adults also set the line tilted (Liben 1991), often in line with the bottle's frame or parallel to its bottom (Lohaus and colleagues 1996; Thomas, Lohaus and Kessler 1999); success comes from reading the line against the surroundings rather than the bottle (Barhorst-Cates and colleagues 2020). The task is used in research on spatial cognition and frames of reference, in batteries of spatial tests and in training studies. In a paper version with 12 jars, retest reliability twenty minutes apart was high in children, adolescents and young adults, with intraclass correlations of 0.78 to 0.88 (Morawietz and colleagues 2024).
The standard session has two rounds of 9 bottles, 18 settings, each round showing the upright bottle and each tilt once in its own order, in about 5 minutes; a setting gives one or three rounds. Two practice settings with the upright bottle show the true water line afterwards. Practice never shows a tilted bottle, so its feedback teaches the controls and not where water goes. The upright bottle in the test checks the controls, since its water line is level.
The main score is the mean distance of the lines from level in the tilted bottles, in degrees, the mean absolute deviation from the horizontal (Salbod 2001). The task also reports the signed error, positive when the line leans the way the bottle leans, the share of lines within 5 degrees of level and within 5 degrees of the bottle's bottom, the error at each tilt and in the upright bottle, and the time per setting. The scores are research measures and do not diagnose.
Scores
- Mean Error From Leveldegrees
- Mean distance from level of the water lines set in tilted bottles.
- Lower is closer to level
- Lean Toward the Bottledegrees
- Mean signed error in tilted bottles, positive when the line leans the way the bottle leans.
- Near 0 is level
- Lines Within 5 Degrees%
- Share of the lines in tilted bottles within 5 degrees of level.
- Higher is closer to level
- Lines Along the Bottom%
- Share of the lines in tilted bottles within 5 degrees of the line parallel to the bottle's bottom.
- Informational
- Error at 45 Degreesdegrees
- Mean distance from level with the bottle tilted 45 degrees; the errors at 15, 30 and 60 degrees are also reported.
- Lower is closer to level
- Upright Bottle Errordegrees
- Mean distance from level of the lines in the upright bottle, a check of the controls.
- Lower is closer to level
- Median Setting Timems
- Median time from the bottle appearing to Done.
- Informational
- Lines Set Under 100 mscount
- Settings whose first line was set within 100 ms of the bottle appearing.
- Lower is better
Use and evidence
20 papers from 2021 to 2025 name this task in their title or abstract. That ranks it 400 of 495 test families in our census. See the counts for every test.
Show the numbers
| Year | Papers |
|---|---|
| 2025 | 8 |
| 2024 | 9 |
| 2023 | 1 |
| 2022 | 0 |
| 2021 | 2 |
| 2020 | 2 |
| 2019 | 1 |
| 2018 | 0 |
| 2017 | 2 |
| 2016 | 1 |
| 2015 | 0 |
| 2014 | 0 |
| 2013 | 0 |
| 2012 | 1 |
| 2011 | 2 |
| 2010 | 1 |
| 2009 | 1 |
| 2008 | 2 |
| 2007 | 2 |
| 2006 | 0 |
| 2005 | 0 |
| 2004 | 0 |
| 2003 | 4 |
| 2002 | 2 |
| 2001 | 2 |
| 2000 | 1 |
Use grade E
Fewer than 30 papers from 2021 to 2025.
Evidence grade D
Little published measurement evidence found.
- Papers on test-retest reliability
- 0
- Papers on reliability or validity
- 1
- Registered clinical studies using it as an outcome
- 0
How the grades work
Use: A is 1,000 or more papers from 2021 to 2025, B 300 to 999, C 100 to 299, D 30 to 99 and E fewer than 30. Evidence: A means at least 25 papers report its test-retest reliability and at least 25 registered clinical studies use it as an outcome; B, at least 8 test-retest papers, and either 5 registered clinical studies or 150 reliability or validity papers; C, at least 2 test-retest papers, 30 reliability or validity papers or 3 registered clinical studies; D, little published measurement evidence found. The counts measure use. They include every paper that names the task in its title or abstract. Grades describe the published research on this task, not ConductCognition's version of it.
Source: ConductCognition test census 0.22.0, counted 2 November 2026 from OpenAlex and ClinicalTrials.gov.
Task design
The trial sequence as the test runs in ConductCognition.
- Bottle
- Drawn by the task's code: a rectangular bottle twice as tall as it is wide, with a neck and a cap, half full, so its water surface always passes through the middle of the bottle. No water is drawn until a line is set.
- Tilts
- Upright, or tilted 15, 30, 45 or 60 degrees to the left or right: 9 bottles a round.
- Setting
- A press on the drawing sets the water line through the middle, pointing at the press, and dragging turns it. The turn buttons and the arrow keys turn it 0.5 degrees, or 5 with Shift, and Done sets it, with no time limit.
- Rounds
- Two rounds of 9 bottles (standard; one to three), each in its own order, never the same bottle twice in a row.
- Practice
- 2 settings with the upright bottle, each followed by the true water line, dashed, and how far the line was from it.
- Scoring
- The mean distance from level of the lines in tilted bottles, in degrees, then the signed error toward the bottle's tilt and the share of lines within 5 degrees of level and of the bottle's bottom. A first line under 100 ms is an anticipation.
The task has no standard set of bottles, so each study draws its own and published scores for other versions do not apply. On a phone or tablet the bottle is judged against the screen, so the instructions ask for the screen held straight or laid flat. No percentile: results are read within a study. The scores support research and do not diagnose.
Quality checks
Each session is marked valid, needs review or invalid, with the reason, before you see its scores.
Scored rows: water_level_setting test rows from the scored run, one per bottle. A setting has no option to compare with chance, so accuracy is not judged against chance. Settings made within 200 ms of the bottle appearing on at least half the bottles invalidate. Settings in the upright bottle more than 10 degrees from level on average, and a run short of its planned settings, are flagged.
Why these rules
There is no correct option to compare with chance, so accuracy is not judged against chance. An answer under 200 ms is faster than a simple visual reaction, so it cannot reflect the item. Following response-time effort screening for untimed tests (Wise and Kong 2005), the session is invalid only when at least half the answers are that fast. In the upright bottle the water line is level and lies across the bottle as well, so a person who follows the controls sets it close to level whatever they think water does; an average over 10 degrees there is flagged, not invalid. Lines far from level in tilted bottles are what the task measures and never count against a session.
No percentile. Scores and quality flags only.
Running this test
Settings you can change
| Setting | Standard | Allowed |
|---|---|---|
| Rounds of 9 bottles | 2 | 1 to 3 |
Yearly plans can change settings within these limits. Free and pay-as-you-go studies use the standard settings.
Need a setting this test does not have?
Devices and languages
- Untimed test: runs on desktops, laptops, tablets and phones. Participant devices
- Languages: English, Spanish, French, German, Italian, Portuguese (Brazil), Chinese (Simplified) and Japanese.
- Available on: Every plan, including the free plan.
- No percentile. Scores and quality flags only. How norms work
- Recruiting online? See the setup guides for Prolific, Sona Systems, CloudResearch Connect and Qualtrics.
Cite and describe
Participants completed the Water Level Task in a web browser (ConductCognition task version 1.0.0, scoring version 1.0.0; Piaget J, Inhelder B, 1956; Vasta R, Liben LS, 1996), with the standard settings (rounds of 9 bottles: 2). The main score was mean error from level (mean distance from level of the water lines set in tilted bottles).
ConductCognition versions: task version 1.0.0, scoring version 1.0.0. Every export records the versions each session used, for a methods section.
- Piaget, J., & Inhelder, B. (1956). The child's conception of space (F. J. Langdon & J. L. Lunzer, Trans.). Routledge & Kegan Paul. The water-level task, made to study how children come to use the horizontal.
- Vasta, R., & Liben, L. S. (1996). The water-level task: An intriguing puzzle. Current Directions in Psychological Science, 5(6), 171-177. https://doi.org/10.1111/1467-8721.ep11512379A review of the task: Piaget expected children to solve it by about age 9, and many adults do not.
- Liben, L. S. (1991). Adults' performance on horizontality tasks: Conflicting frames of reference. Developmental Psychology, 27(2), 285-294. https://doi.org/10.1037/0012-1649.27.2.285Adults' errors and the conflicting frames of reference that tilted containers set up.
- Thomas, H., Lohaus, A., & Kessler, T. (1999). Stability and change in longitudinal water-level task performance. Developmental Psychology, 35(4), 1024-1037. https://doi.org/10.1037/0012-1649.35.4.1024Lines parallel to the bottle's bottom as a way of responding, beside random and accurate lines.
- Salbod, S. (2001). Correlations between cognitive style and performance on the water-level task by female graduate students. Psychological Reports, 88(3), 747-748. https://doi.org/10.2466/pr0.2001.88.3.747The mean absolute deviation from the horizontal as the score.
- Morawietz, C., Dumalski, N., Wissmann, A. M., Wecking, J., & Muehlbauer, T. (2024). Consistency of spatial ability performance in children, adolescents, and young adults. Frontiers in Psychology, 15, 1365941. https://doi.org/10.3389/fpsyg.2024.1365941Retest reliability of a paper version; studies draw their own bottles and tolerances.
Source papers
- Piaget J, Inhelder B (1956). The child's conception of space (FJ Langdon, JL Lunzer, Trans.). London: Routledge & Kegan Paul.Paradigm source, Children
- Morawietz C, Dumalski N, Wissmann AM, Wecking J, Muehlbauer T (2024). Consistency of spatial ability performance in children, adolescents, and young adults. Frontiers in Psychology, 15:1365941.N 74, Children, adolescents and young adults
- Thomas H, Lohaus A, Kessler T (1999). Stability and change in longitudinal water-level task performance. Developmental Psychology, 35(4):1024-1037.N 481, Children aged 8 to 16
- Formann AK (2003). Modeling data from water-level tasks: a test theoretical analysis. Perceptual and Motor Skills, 96(3 Pt 2):1153-1172.N 431, Children and adults
Questions
How long does the Water Level Task take?
About 4 to 6 minutes, as listed in the test library.
What device does a participant need?
Untimed test: runs on desktops, laptops, tablets and phones. The browser must be Chrome, Edge, Firefox or Safari.
What scores does it produce?
Mean Error From Level, Lean Toward the Bottle, Lines Within 5 Degrees, Lines Along the Bottom, Error at 45 Degrees, Upright Bottle Error, Median Setting Time and Lines Set Under 100 ms. Each session is also marked valid, needs review or invalid, with the reason.
How widely is the Water Level Task used in research?
20 papers from 2021 to 2025 name it in their title or abstract. That ranks it 400 of 495 test families in the ConductCognition test census (use grade E). Source: ConductCognition test census 0.22.0, counted 2 November 2026 from OpenAlex and ClinicalTrials.gov.
How much reliability evidence does the Water Level Task have?
In the published research, 0 papers report its test-retest reliability and 0 registered clinical studies use it as an outcome (evidence grade D in the ConductCognition test census).
Does it report a percentile?
No. Scores and quality flags only.
Which settings can a researcher change?
Rounds of 9 bottles (1 to 3). Settings can be changed on yearly plans; free and pay-as-you-go studies use the standard settings.
Which languages can participants use?
Participants can take this test in English, Spanish, French, German, Italian, Portuguese (Brazil), Chinese (Simplified) and Japanese. English is on every plan, and the other languages come with yearly plans. Have a native speaker read the machine-translated text before launch.
Is this a clinical test?
No. ConductCognition is for research use only. It runs, scores and exports the test; clinical interpretation is outside the platform.
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