Transparent calculations · current v4.3.0
Lottery Data & Methodology
Every figure starts with stored draw results for the selected lottery. LotteryWin chooses the exact game format, result series and number group, checks each row, orders the history by draw date and then runs the selected calculation. The page shows the scope and coverage used.
How to read your analysis
1. Choose the draw
Draw, Round 1 and Round 2 are separate result series. Where a lottery publishes more than one result on the same date, each series keeps its own history and statistics.
2. Choose the numbers
Main only analyses the main-number group. Main + bonus is offered only when the bonus uses the same number pool. Separate special pools remain independent.
3. Check the scope
The analyser header states the selected series, number group and balls analysed. Validated draws and coverage dates show exactly how much history is included.
How stored draw data is checked
Record validation
Draw dates must be valid and unique within the selected result series. Every required number must be present, distinct within its group and inside the range in force on that date.
Coverage and freshness
Each result records its validated draw count, excluded rows, oldest and newest included dates, format version, draw-set fingerprint and method version.
Format awareness
Main, same-pool bonus, separate special, modifier and secondary-result roles remain distinct. Current-format and historical-era views state their scopes independently.
Reproducible statistics
Frequency, gaps, exact N/k baselines, intervals and diagnostic simulations use versioned methods. The same validated inputs and scope produce the same result ID.
Calculation definitions
Frequency and effect size
Observed rate = appearances ÷ eligible draws. Reference rate = numbers drawn (k) ÷ pool size (N). Effect size is the observed rate minus that reference rate.
Exact frequency interval
Each number uses a two-sided 95% Clopper–Pearson binomial interval. Labels change only when the exact N/k reference lies outside that interval.
Gap and gauge baseline
A gap counts intervening draws in which a number or pair was absent. Completed records and current open gaps are retained separately. Every gauge uses the largest gap observed so far, whether completed or still open.
Format diagnostic
Pearson frequency spread is compared with 1,000 deterministic Monte Carlo histories using the same N, k and number of draws. The empirical tail and simulated 95%/99% limits are shown.
Cross-era exposure
A number receives eligible draws and expected appearances only in verified eras whose pool included it. Combined ratios use total observed appearances ÷ total era-specific expected appearances.
Full wheel
The exact full wheel enumerates every distinct k-number combination from the selected pool once. The verified line count is C(n,k), capped at 2,000 reviewable lines.
Method version history
Version 4.3.0: Result-series analysis
2026-07-26
- Added isolated analysis scopes for multiple result series on one date.
- Included the selected result series in reproducible analysis IDs.
- Connected National Lottery Round 2 to canonical draw history.
- Aligned gap gauges to the largest observed open or completed gap.
Version 4.2.0: Reproducible inference
2026-07-24
- Added stable result IDs derived from the validated draw set and format.
- Added exact frequency intervals and exposure-adjusted era comparisons.
- Calibrated frequency diagnostics by deterministic format simulations.
Version 4.1.0: Exact format mathematics
2026-07-24
- Added exact N/k baselines for patterns, repeats, sums and gaps.
- Kept unlike number groups isolated at every calculator boundary.
Version 4.0.0: Verified analysis scope
2026-07-24
- Restricted public analysis to a verified effective-dated format.
- Made draw chronology use unique ISO draw dates rather than row IDs.
How to read the analysis
The default workspace uses the latest verified main-number format and primary result series. Round tabs switch result series; Data controls switch compatible number groups. Era Comparison includes separately verified formats and adjusts each number for the draws in which it was eligible.