Goodness-of-fit chi-square

Client

Compare observed counts to a theoretical distribution.

Goodness-of-fit chi-square

Compare observed category counts to expected counts in two comma lists of equal length. Expected values must be positive—this is a demo statistic, not a full distribution package. Processing runs in your browser—Toolcore does not need your paste for the core operation on this page.

Educational statistics only—confirm assumptions before production analysis.

How to use

Paste or type in the main field, then read the output below. Use Load example when available, or open the page with ?q= / ?qb= so tickets and agents share the same input.

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Nearby workflows on Toolcore

  • Chi-square contingency (lite)Chi-square statistic from 2×2 observed counts. Useful when the same table needs another statistic.
  • Math expression evaluatorEvaluate basic + − × ÷ arithmetic with parentheses in your browser—no variables. Useful when the same table needs another statistic.
  • Fisher exact test (lite)Two-sided Fisher exact p-value for a 2x2 table. Useful when the same table needs another statistic.
  • Sample meanArithmetic mean of comma-separated numbers. Useful when the same table needs another statistic.

Common use cases

  • Goodness-of-fit chi-square for quick local checks without uploading data.
  • Copy results into tickets, docs, or classroom notes.

Common mistakes to avoid

  • Unexpected input shape

    See the intro and how-to notes for accepted formats.

FAQ

Is processing local?

Yes—this runs entirely in your browser.

Agent prefill?

Use q or qb for the main text field when supported.

Related utilities you can open in another tab—mostly client-side.