Download your Word document
Chi-Square Goodness-of-Fit Statistic Calculator result sheet — free, supported by sponsors. Your download button appears in 20 seconds.
This free download is supported by sponsors — continuing in
20
Your file is generated in your browser when you choose Download — nothing is uploaded. If this calculator returns enough numeric data, the export also includes its best-fit chart alongside the readable table.
WorldCalculate result export
Chi-Square Goodness-of-Fit Statistic Calculator — result sheet
Calculate a chi-square goodness-of-fit statistic and degrees of freedom from observed and expected counts.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: χ²=Σ(observed−expected)²/expected; degrees of freedom = number of categories−1.
Each category contribution is summed so the total discrepancy and degrees of freedom remain visible.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Observed counts — Enter 2 to 50 nonnegative counts separated by commas or spaces.
- Expected counts — Enter the same number of positive expected counts.
Worked example
| Input | Value |
|---|---|
| Observed counts | 18, 22, 20, 25, 15 |
| Expected counts | 20, 20, 20, 20, 20 |
χ² = 2.5 with 4 degrees of freedom.
Assumptions and limits
- Observed counts are nonnegative and expected counts are positive with the same list length.
- The lists describe one compatible goodness-of-fit table.
- P-values, small-expected-count corrections, parameter fitting, and model conclusions are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
No saved result was found. Please run the calculation first, then choose Download again.