90 minutes · over 14 days · your own pace
We're testing whether immersive 3D virtual reality helps undergraduates learn the geometry of OLS regression more effectively than a browser-based interactive 3D tool. You will be randomly allocated to one of the two arms.
Single 45-min lab session
on a Meta Quest 3 headset.
Browser-based, asynchronous.
Optional touch screen at the lab.
Scan the QR. We email your allocation within 24h.
10 questions then a 25-min Panopto lecture.
VR lab session, or browser app on your own.
10 questions, short survey. Email with pickup details sent within 1 business day. Collect paper voucher at School of Business reception. Grab digital option available.
Approved by
This study operates under MUHREC Project #45560. Your data are de-identified before analysis and stored on Monash servers. You may withdraw at any point without penalty.
Run by
Chief Investigator: Dr Nazirul Hazim A. Khalim, Lecturer in Econometrics & Business Statistics.
Questions: nazirul.hazim@monash.edu
OLS regression has a beautiful geometric structure that two-dimensional textbook diagrams simply can't show. The application makes the four core objects manipulable so you can see why each identity holds.
The plane spanned by your regressors.
Closest point in the plane to y.
Perpendicular to the plane — always.
The angle between y and ŷ.
Why you're here
We are testing whether immersive virtual reality helps undergraduates learn the geometry of OLS regression better than a browser-based interactive 3D tool. Both arms see the same content. You will be randomly allocated to one arm and counterbalanced across two parallel test forms.
Form 1: eligibility, student ID, prior coursework, slot preferences.
Day 1 · ~15 minWithin 24 hours we email your arm and form-order. Don't start anything else first.
within 24 hForm 2: 10 MCQs on your assigned form. Before the lecture.
~10 min25-min Panopto lecture on OLS geometry. Identical for both arms.
~25 minVR: 30–45 min lab session. HTML: own time, browser or lab touch screen.
Day 3–12 · ~25–45 minForm 3: opposite form, paste your code, complete the short survey.
~25–35 minEmail with pickup details sent. Collect paper voucher at School of Business reception. Grab option available by request (5–7 days).
~1 minVR arm — the researcher hands you a printed VRLAB-XXXX code at the end of your lab session. Bring it home and paste it into Form 3.
HTML arm — the application shows an HTMLOK-XXXX code at the end of Quiz mode. Don't refresh the page before you copy it.
The 10 MCQs come in two parallel versions, Form A and Form B. At pre-test you take one; at post-test you take the other. Your allocation email tells you which is which. Form 2 and Form 3 each show all 18 questions — answer only the 10 in your assigned form.
Compensation
Default: paper voucher collected at School of Business reception. Optional: Grab digital voucher by email (5–7 business days).
Eligibility
Start here
Scan to register, or contact nazirul.hazim
The plane spanned by the regressors.
The closest point in the plane to y.
Perpendicular to the plane.
The angle between y and ŷ.
All seven steps fit comfortably in this window. The only synchronous component is the VR lab session — everything else is at your own pace.
Form 1 goes live. Allocations email out within 24 h. Earliest registrants get first pick of VR slots.
If you registered Day 1 but haven't started, expect a friendly nudge from the research team. Plenty of time still left.
VR-arm participants attend their booked 45-min lab session. Choose any weekday slot 09:00–17:00; Saturday 09:00–13:00.
Final post-test deadline. Mad Alchemy paper voucher ready to collect at School of Business reception. Grab digital code also available (5–7 business days).
Key things to know
Your 8-digit Monash student ID links your three forms — enter it accurately on every form. · Pre-test goes before the lecture; post-test goes after the intervention. · You answer only one form at each timepoint — your allocation email tells you which. · You can withdraw at any point without penalty by emailing the study team.
If your allocation email assigned you to HTML
Open the application in any modern browser. Complete Learn → Tutorial → Quiz in that order. At the end of Quiz mode the application shows a HTMLOK-XXXX completion code — copy this exactly into Form 3.
Chrome, Edge, Firefox, or Safari (latest). Allow ~25–35 min uninterrupted.
Day 2 onwardsEight narrated concept screens. Skip none — Quiz assumes them all.
8 steps · ~10 minEight guided tasks. Toggle Col(X), ŷ, e, ⊥, x₁, FWL until the prompt matches.
8 tasks · ~10–15 minTen in-app explore-then-answer questions. Not the formal test.
10 Qs · ~10 minFormat HTMLOK-XXXX. Don't refresh first.
paste into Form 3Browser
Chrome, Edge, Firefox, Safari. WebGL must be enabled (it is by default).
Display
Laptop ≥ 13″ recommended. Desktop monitors and the lab ViewSonic 79″ touch screen work especially well.
Connection
First load fetches assets; afterwards the app runs locally. Reconnect if needed — your progress persists.
Hard-refresh (Ctrl/Cmd + Shift + R). Try a different browser. Check WebGL is enabled and hardware acceleration is on (Chrome / Edge → Settings → System).
Re-do Quiz mode (it's quick) and copy the new code. Multiple HTMLOK codes from the same session are fine — only the one you paste into Form 3 is recorded.
Both URLs are in your allocation email. Search your inbox for "VR OLS" or check spam. Still nothing? Email the study team.
Complete Form 3 as soon as you can — submissions after midnight on Day 14 are recorded but not analysed. Email for a documented-reason extension.
The four core objects of OLS regression rendered as manipulable 3D scenes. In Tutorial mode you toggle each one on and off; in Quiz mode you re-orient them to answer.
The plane spanned by the regressors. Toggle this on first.
The closest point in the plane to y. Watch it slide as you change X.
Always perpendicular to the plane. Toggle the right-angle marker to see why.
The angle between y and ŷ. Better fit = smaller θ.
Order matters
Form 1 → allocation email → Form 2 (pre-test) → lecture → application (Learn → Tutorial → Quiz) → Form 3 (post-test + code). Submissions out of order are flagged invalid by the system.
If your allocation email assigned you to VR
You will receive a slot-booking email from the research assistant within 24 hours of your allocation. The session takes 45 minutes including check-in, safety induction, and headset fitting. The researcher gives you a VRLAB-XXXX code at sign-off.
RA verifies student ID against allocation, logs your arrival, walks you to a station.
How to remove the headset, how to signal discomfort, your right to stop without penalty.
RA fits the Meta Quest 3, adjusts eye-relief and IPD, runs a calibration scene.
Eight narrated concept screens. Look around freely; the scene responds to gaze and controllers.
Eight guided tasks: toggle Col(X), ŷ, e, ⊥ until the scene matches each prompt.
Ten in-headset questions. Manipulate first, then answer. Not your formal test.
Headset off. RA wipes lenses, hands you a printed VRLAB-XXXX code.
Eight narrated steps walking you through the geometry: column space of X, projection ŷ, residual e, the right-angle property, R² as cos²θ, the Pythagorean identity, FWL partial, and the hat matrix.
~10 minEight guided tasks. Reach out and toggle the on-scene objects until the visualisation matches the prompt. The scene is fully manipulable — orbit, zoom, and step inside the column space.
~10–15 minTen in-headset questions. Manipulate the scene first to explore, then answer. Don't worry about wrong answers — this isn't your formal test, it's part of the application experience.
~10 minIf you feel any of these
Stopping early does not affect your voucher. Your data are removed from analysis on request.
Built-in monitoring
At the end of Form 3 we ask you to rate seven brief symptoms: general discomfort, eye strain, headache, focusing, dizziness, nausea, disorientation. This monitors headset comfort across the study.
If you experience persistent symptoms after the session, please email the study team and contact Monash Health Services.
The four core objects of OLS regression rendered as room-scale 3D scenes you can walk around. Each one is independently toggleable in Tutorial mode.
Walk around the plane spanned by the regressors.
Reach out and grab y; watch ŷ track the closest point.
Sight along the residual to see the right angle in 3D.
The angle between y and ŷ becomes physically visible.