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Welch Two-Sample T Statistic

Calculate Welch’s t statistic and approximate degrees of freedom for independent samples.

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Welch Independent Sample T Statistic online

Calculate Welch’s t statistic and approximate degrees of freedom for independent samples. Use this for the specific transformation described above. Start with the fixed sample and compare its result before replacing it with your own representative input.

How to use it

Paste JSON matching the structure in the example. Supply independent comparison sample in the second input. Choose Calculate. Review the output, then copy or download it.

Worked examples

Use this for the specific transformation described above. Start with the fixed sample and compare its result before replacing it with your own representative input.

Reproducible worked example

Settings: No additional settings.

Input:

[10,11,12,13]

Independent comparison sample:
[8,9,10,11,12]

With the input and settings above, the tool produces:

Output:

{
  "t": 1.5666989036012806,
  "degreesOfFreedom": 6.980769230769232
}

For this input, “t” is 1.5666989036012806; “degreesOfFreedom” is 6.980769230769232. These are the named fields in the example output.

Limitations and common mistakes

Welch statistic only, without a p-value or inference. Samples must be independently collected and assumptions checked.
Combined input is bounded to 150,000 characters; output text is bounded to 1.2 million characters. Some algorithms impose smaller limits, stated in their error messages.
Both inputs must follow their own documented format. Changing direction or mode can require different input; the example is for the displayed settings.

Frequently asked questions

What format should I enter?

Paste JSON matching the structure in the example. The second input is independent comparison sample. The worked example shows the supported structure and actual output.

How can I compute Welch’s t statistic and approximate degrees of freedom for independent samples online?

Paste JSON matching the structure in the example. Supply independent comparison sample in the second input. Choose Calculate. Review the output, then copy or download it.

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.