One-Sample t-Statistic Calculator
Calculate a one-sample t statistic and its degrees of freedom from summary statistics.
Calculate a one-sample t statistic and its degrees of freedom from summary statistics.
Move between weighted summaries, t statistics, chi-square goodness-of-fit and one-way ANOVA calculations.
Calculate a weighted arithmetic mean from values and their non-negative weights.
Open calculatorCalculate the pooled standard deviation for two independent samples under the equal-variance model.
Open calculatorCalculate a one-sample t statistic and its degrees of freedom from summary statistics.
Calculate Welch’s two-sample t statistic and approximate degrees of freedom without assuming equal variances.
Open calculatorCalculate a paired-sample t statistic from the mean and standard deviation of paired differences.
Open calculatorCalculate the chi-square goodness-of-fit statistic from observed and expected category counts.
Open calculatorCalculate a one-way ANOVA F statistic from summary statistics for three independent groups.
Open calculatorCalculate a one-sample t statistic and its degrees of freedom from summary statistics.
Enter compatible statistical values. The calculator validates the inputs and applies t = (x̄ − μ₀) / (s / √n), with df = n − 1.
Variables: x̄ = Sample mean; μ₀ = Hypothesized mean; s = Sample standard deviation; n = Sample size.
Example: x̄=105, μ₀=100, s=10 and n=25 give t=2.5 with 24 degrees of freedom.
It is an educational tool for descriptive and inferential statistical calculations from supplied values or summary statistics.
No. Where a test statistic is calculated, the tool does not automatically replace study design, assumption checks, p-value interpretation, confidence intervals or subject-matter judgment.
These sources are used to verify terminology, formulas, and information related to this calculator.