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Normal, binomial and Poisson probabilities

Choose a normal, binomial or Poisson model by name; it is not fitted to your data.

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Choose a normal, binomial or Poisson model by name; it is not fitted to your data. Binomial quantile decisions keep decimal probabilities exact, with n up to 1000 and a budget of 50000 denominator digits. Poisson with λ up to 100000 uses numerical tails and rejects quantiles when the CDF gap is below 1e−9. A continuous density is not the probability of a single point.

Model, grammar and limits

Normal: μ,σ; Binomial: n,p; Poisson: λ; F(q)≥p, F(q−1)<p

Limits: 256000 raw data characters, 5000 source records and 50000 cells in total; decimals up to 48 characters; up to 20 groups or contributions and 50 columns. Limits for exact and bootstrap methods are stated with each tool. Parsing and resource checks run before the calculation, and the worker stops after 15 seconds. Editing, canceling or resetting discards pending results.

Check assumptions, ties and missing values before drawing conclusions. Results show 10 significant digits; CSV keeps the numeric values and units. Exact enumeration means exact counts, not exact displayed decimals. Numerical tail zeros, floors and unavailable intervals are labeled. Nothing here is a diagnosis, proof of causation or validity approval.

Your data stays in this browser. The calculation runs in a local worker, and CSV and backup files are local downloads you choose to make. Your data is not sent anywhere or saved silently, so keep your original data. Input data, formulas and filenames are never sent. Only with your optional consent, Refentra sends aggregate counts of actions and outcomes, without input content.

Use the chosen model

  1. Model, grammar and limits

    Choose a normal, binomial or Poisson model by name; it is not fitted to your data. Binomial quantile decisions keep decimal probabilities exact, with n up to 1000 and a budget of 50000 denominator digits. Poisson with λ up to 100000 uses numerical tails and rejects quantiles when the CDF gap is below 1e−9. A continuous density is not the probability of a single point.

  2. Calculate

    Normal: μ,σ; Binomial: n,p; Poisson: λ; F(q)≥p, F(q−1)<p. Limits: 256000 raw data characters, 5000 source records and 50000 cells in total; decimals up to 48 characters; up to 20 groups or contributions and 50 columns. Limits for exact and bootstrap methods are stated with each tool. Parsing and resource checks run before the calculation, and the worker stops after 15 seconds. Editing, canceling or resetting discards pending results.

  3. Download CSV report

    Check assumptions, ties and missing values before drawing conclusions. Results show 10 significant digits; CSV keeps the numeric values and units. Exact enumeration means exact counts, not exact displayed decimals. Numerical tail zeros, floors and unavailable intervals are labeled. Nothing here is a diagnosis, proof of causation or validity approval. Your data stays in this browser. The calculation runs in a local worker, and CSV and backup files are local downloads you choose to make. Your data is not sent anywhere or saved silently, so keep your original data. Input data, formulas and filenames are never sent. Only with your optional consent, Refentra sends aggregate counts of actions and outcomes, without input content.

Model questions

Model, grammar and limits

Choose a normal, binomial or Poisson model by name; it is not fitted to your data. Binomial quantile decisions keep decimal probabilities exact, with n up to 1000 and a budget of 50000 denominator digits. Poisson with λ up to 100000 uses numerical tails and rejects quantiles when the CDF gap is below 1e−9. A continuous density is not the probability of a single point. Normal: μ,σ; Binomial: n,p; Poisson: λ; F(q)≥p, F(q−1)<p

Unit

Probability distribution; Mean; Declared standard deviation; Trial count (1); Per-trial event probability (1); Poisson mean λ (1); Value / count to evaluate; Quantile cumulative probability (1); Measurement / score unit. Limits: 256000 raw data characters, 5000 source records and 50000 cells in total; decimals up to 48 characters; up to 20 groups or contributions and 50 columns. Limits for exact and bootstrap methods are stated with each tool. Parsing and resource checks run before the calculation, and the worker stops after 15 seconds. Editing, canceling or resetting discards pending results.

Model results

Check assumptions, ties and missing values before drawing conclusions. Results show 10 significant digits; CSV keeps the numeric values and units. Exact enumeration means exact counts, not exact displayed decimals. Numerical tail zeros, floors and unavailable intervals are labeled. Nothing here is a diagnosis, proof of causation or validity approval.

Download input backup

Your data stays in this browser. The calculation runs in a local worker, and CSV and backup files are local downloads you choose to make. Your data is not sent anywhere or saved silently, so keep your original data. Input data, formulas and filenames are never sent. Only with your optional consent, Refentra sends aggregate counts of actions and outcomes, without input content.