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One-sample z-test
A test to compare the sample mean with a constant when sigma is _known_ and the population is large or normally distributed.
One-sample t-test
A test to compare the sample mean with a constant when sigma is _unknown_ and the population is large or normally distributed.
Two-sample z-test
A test to compare the mean of two independent normally distributed variables when both sigmas are _known_.
Welch–Satterthwaite equation
An approximation of the effective degrees of freedom of a linear combination of independent sample variances.
Welch's t-test
A test to compare the mean of two independent normally distributed variables when both sigmas are _unknown_ and different.
Two-sample pooled t-test
A test to compare the means of two independent normally distributed variables when both sigmas are _unknown_ and identical.
Two-proportion z-test (pooled)
A test to determine whether two processes produce the same proportion of defectives or not.
Chi-squared test of variance
A test to determine whether a normal population has a specified variance.
F-test for equality of variances
A test for the hypothesis that two normal distributions have the same variance.
One-way ANOVA
A test for the hypothesis that the means of several normally distributed populations, all having the same standard deviation, are equal.
Chi-squared test of goodness of fit
A test to determine whether or not an observed frequency distribution differs from a theoretical distribution.
Chi-squared test of independence
A test used to evaluate contingency tables for reasonably large samples.
Bartlett's test
A test to confirm homogeneity of variances for a series of normally distributed samples.
Levene's test
A test to confirm homogeneity of variances for a series of random samples which are possibly not normally distributed.
Fisher's exact test
A test used to evaluate two by two contingency tables for a small sample.
Barnard's test
A more expensive alternative to Fisher's exact test which can be more powerful in certain cirumstances.
G-test
A likelihood-ratio test which is increasingly being used in situations where chi-squared tests were previously recommended.
Binomial test
A test to determine whether a repeated observation with two possible outcomes satisfies a predicted frequency probability.
Sign test
A simple test to compare the medians of two paired i.i.d. samples. Is based on the binomial distribution and does not assume normal distribution.