Correlate Paired Ranks Without Pretending Ties Are Distinct Observations
Tied values should share their occupied rank positions, not acquire an order from the spreadsheet row. Show both rank columns before describing monotonic association.
1 · Observation code | X value | Y value
FIRST-LOAD
HYPOTHESIS / PROTOTYPE — checkout unavailable. Calculation is local. A draft is saved automatically in this browser profile when storage is available; Reset to sample clears it. Optional Pro history stores only five summaries and has its own deletion control. State links encode your inputs and can remain in browser history, clipboard or recipients’ records; share only non-sensitive rows. Optional external AI formatting leaves this device. The required site analytics beacon reports page activity; shared URLs contain encoded inputs. Do not treat an encoded URL as private. The calculator has no input-collection endpoint.
Data note: This tied-rank comparison matrix calculates in the tab from Observation code | X value | Y value. No input-collection endpoint, AI request or file upload is built into it. Drafts may be saved locally; explicit input-state links and optional external formatting can disclose the records. Use non-sensitive codes and clear the draft when finished.
Perspective: Before: tied measurements acquired arbitrary positions or a misleading shortcut. After: average occupied ranks and the correlation denominator show exactly what monotonic association was computed.
2 · Read the tied-rank comparison matrix
Descriptive paired-rank exercise only: no p-value, causal conclusion or population guarantee. Verify pairing and measurement precision, and consult a qualified teacher or statistician before inferential or consequential use.
Paid layer: tied-rank comparison matrix filing layer
one-time step · the free reading above stays complete
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- one full, unwatermarked tied-rank comparison matrix App execution
- three invented readings and unlimited calculations in the paired article demo
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What $4 one-time adds
- subsequent tied-rank comparison matrix App calculations through a browser-local convenience signal
- boundary-preserving print and row-and-summary CSV of this tied-rank comparison matrix; conditional retyping budget uses only your entered minutes
- five local headline/count/time summaries, separately deletable; full-input draft is separate and not a backup
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Boundary and sources
Descriptive paired-rank exercise only: no p-value, causal conclusion or population guarantee. Verify pairing and measurement precision, and consult a qualified teacher or statistician before inferential or consequential use.
- Declared local method: Subtract each rank column’s mean, sum paired cross-products, and divide by the square root of the product of their squared-deviation sums. If either sum is zero, correlation has no denominator and the tool refuses to invent a coefficient. Small numerical drift is clamped only within the mathematical minus-one-to-one range. The displayed row ranks explain the transformation; row rank values are not additive contributions to the headline coefficient.
- Every sample code, measurement, date, price, fingerprint and scenario is invented. Artifact checks do not verify reader data, policies, actual files, tickets, votes or health/accessibility outcomes.
- SciPy spearmanr documentation and rankdata tie methods, fetched 2026-10-01: monotonic coefficient, undefined constant inputs and average occupied ranks. This local tool is independently implemented and deliberately has no inferential p-value.
- Google’s official Gemini pricing page, fetched 2026-10-01, lists AI Studio access in its Free section, limited model access and free input/output tokens. Free-tier content may be used to improve products. Optional external formatting may require an account; limits/access can change. Manual local entry needs none. Do not send sensitive records.
Mechanism: competence-autonomy-loop
Optional AI formatting, never the calculation
Manual entry completes this tied-rank comparison matrix for free without signup. If available to you, the free AI Studio interface linked in the sources may format fictional or non-sensitive notes; external access may require an account. No API key or AI call is built into this tool. Free-tier content may be used to improve products. Review each cell and transcribe it to the labeled row schema; do not paste the JSON object into the row box.
Format only these fictional or non-sensitive notes for a tied-rank comparison matrix. Return strict JSON shaped as {"rows": [{"label": "string", "cells": ["string", "string"]}], "setting": "string"}. The columns are Observation code | X value | Y value; the setting is Paired-count review floor (not a significance rule). Keep all supplied strings and quantities exactly; do not calculate, infer missing entries, invent dates or add advice. If any required value is missing, return an empty rows array and ask me for it separately. I will verify every cell against my source and manually transcribe rows using vertical bars before running the local calculator.An AI response is not executed, fetched or trusted as a result. Missing values remain questions; the strict local parser checks the rows you actually enter.