Welch's t-Statistic Calculating System

A Welch's t-Statistic Calculating System is a computing system that can be solved a Welch's t-statistic.

• Context:
  • It can be solved a function [math]\displaystyle{ f(\hat{\theta}_1, \hat{\theta}_2, s_w,D) }[/math] for the input parameters defined by the Welch's t-statistic.
• Example(s):
  • A computing system based on the SciPy statistical function scipy.stats.ttest_ind(a, b, equal_var=False) where a and b two data samples, "equal_var=False" must be set for performing Welch’s t-test.
  • …
• Counter-Example(s):
  • An Independent Two-Sample t-Statistic Calculating System.
  • An One-Sample t-Statistic Calculating System.
• See: Student's t-Test, t-Statistic, Pooled Standard Deviation, Welch–Satterthwaite Equation.

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References

2017

• (Scipy docs, 2017) ⇒ https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.ttest_ind.html
  • scipy.stats.ttest_ind(a, b, axis=0, equal_var=True, nan_policy='propagate')[source]

Calculates the T-test for the means of two independent samples of scores.

This is a two-sided test for the null hypothesis that 2 independent samples have identical average (expected) values. This test assumes that the populations have identical variances by default.

(...) equal_var : bool, optional - If True (default), perform a standard independent 2 sample test that assumes equal population variances [R643]. If False, perform Welch’s t-test, which does not assume equal population variance [R644].

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