뒤로Two Variances and F Distribution definitions
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1/15뒤로Skip to main content뒤로F Distribution
An asymmetric, right-skewed distribution used to compare two sample variances, characterized by two degrees of freedom. Degrees of Freedom
Values calculated as sample size minus one for each sample, determining the shape of the F distribution. Sample Variance
A measure of spread within a sample, used as the numerator and denominator in the F statistic calculation. F Statistic
A ratio of two sample variances, with the larger variance placed in the numerator for hypothesis testing. Critical Value
A threshold from the F distribution table used to decide whether to reject the null hypothesis. P Value
A probability calculated from the F distribution indicating the likelihood of observing the test statistic under the null hypothesis. Null Hypothesis
The assumption that two population variances are equal, serving as the starting point for the test. Alternative Hypothesis
A statement suggesting a difference or inequality between two population variances. Significance Level
A predetermined threshold, often 0.05, used to assess whether the p value is small enough to reject the null hypothesis. Chi Squared Distribution
A right-skewed distribution used for one-sample variance tests, similar in shape to the F distribution. Right-Tailed Probability
The area under the F distribution curve to the right of the test statistic, representing the p value. Random Sample
A subset of data selected so each member of the population has an equal chance of inclusion, ensuring unbiased results. Normal Population
A population whose data follows a bell-shaped curve, a key assumption for valid F tests. Hypothesis Test
A structured procedure for comparing variances, involving calculation of test statistics and p values. Standard Deviation
A measure of spread related to variance, sometimes tested using the F distribution in two-sample scenarios.
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