Parametric tests

Use parametric tests to determine whether a population parameter differs from either a specified value or a different population parameter.

1-sample z-test

Determine whether the mean of a group differs from a specified value. In Minitab, choose Stat > Basic Stats > 1-Sample Z.

Use a 1-sample z-test when you know the standard deviation of the population.

1-sample t-test

Determine whether the mean of a group differs from a specified value. In Minitab, choose Stat > Basic Stats > 1-Sample t.

2-sample t-test

Determine whether the means of two independent groups differ. In Minitab, choose Stat > Basic Stats > 2-Sample t.

You can use to compare measurements that are made on two different sets of items, such as satisfaction ratings from two different hospitals.

Paired t-test

Compare measurements that are made on the same items under different conditions. For example, compare the diameter measurements of ball bearings by two operators. In Minitab, choose Stat > Basic Stats > Paired t.

1 proportion test

Determine whether the proportion for a group differs from a specified value. Use when each observation can have only one of two values, such as pass or fail. In Minitab, choose Stat > Basic Stats > 1 Proportion.

2 proportions test

Determine whether the proportions of two groups differ. Use when each observation can have only one of two possible values, such as pass or fail. In Minitab, choose Stat > Basic Stats > 2 Proportions.

1-sample Poisson rate test

Determine whether the rate of occurrence for a group differs from a specified value. Use when you count occurrences, such as the number of defects per unit. In Minitab, choose Stat > Basic Stats > 1-Sample Poisson Rate.

2-sample Poisson rate test

Determine whether the rates of occurrence for two groups differ. Use when you count occurrences, such as the number of defects per unit. In Minitab, choose Stat > Basic Stats > 2-Sample Poisson Rate.

1 variance test

Determine whether the variance or the standard deviation of a group differs from a specified value. In Minitab, choose Stat > Basic Stats > 1 Variance.

2 variances test

Determine whether the variances or the standard deviations of two groups differ. In Minitab, choose Stat > Basic Stats > 2 Variances.

Goodness-of-fit tests

Use goodness-of-fit tests to determine whether a statistical distribution fits your data.

Normality test

Determine whether your data follow a normal distribution. In Minitab, choose Stat > Basic Stats > Normality Test.

Goodness-of-fit test for Poisson
Determine whether your data follow a Poisson distribution. In Minitab, choose Stat > Basic Stats > Goodness-of-Fit Test for Poisson.
Outlier test
Identify a single outlier in a sample of data. In Minitab, choose Stat > Basic Stats > Outlier Test.

Equivalence tests

Use equivalence tests to determine whether the means for product measurements or process measurements are close enough to be considered equivalent.

1-sample equivalence test
Compare the mean of a product or a process to a standard. In Minitab, choose Stat > Equivalence Tests > 1-Sample.
2-sample equivalence test
Compare two product means or two process means using 2 independent samples. In Minitab, choose Stat > Equivalence Tests > 2-Sample.
Equivalence test with paired data
Compare two product means or two process means when observations are paired, such as when measurements for two treatments are taken from the same person or part. In Minitab, choose Stat > Equivalence Tests > Paired.
Equivalence test for 2x2 crossover design
Compare treatment means for data that was collected in a 2x2 crossover study. 2x2 crossover studies are commonly used to test whether individual participants experience equivalent effects on 2 different drugs. In Minitab, choose Stat > Equivalence Tests > 2x2 Crossover Design.

Nonparametric tests

Use nonparametric tests when you cannot assume that the data follow a specific distribution. .

1-sample sign test

Determine whether the median of a group differs from a specified value. Use when you have a small sample size and you are not confident that the data are symmetric. In Minitab, choose Stat > Nonparametrics > 1-Sample Sign.

1-sample Wilcoxon test
Determine whether the median of a group differs from a specified value when you have data that are symmetric. In Minitab, choose Stat > Nonparametrics > 1-Sample Wilcoxon.
Mann-Whitney test
Determine whether the median of two groups differ when the data for both groups have similarly shaped distributions. In Minitab, choose Stat > Nonparametrics > Mann-Whitney.
Kruskal-Wallis test
Determine whether the medians of two or more groups differ when you have data that are not symmetric, such as skewed data. In Minitab, choose Stat > Nonparametrics > Kruskal-Wallis.
Mood's median test

Determine whether the medians of two or more groups differ. Use when you are not confident that the groups have similarly shaped distributions. In Minitab, choose Stat > Nonparametrics > Mood's Median Test.

Friedman test
Determine whether treatment effects differ in a randomized block design experiment when you have data that are not necessarily symmetric. In Minitab, choose Stat > Nonparametrics > Friedman.
Runs test
Determine whether the data are random over time. In Minitab, choose Stat > Nonparametrics > Runs Test.
Pairwise averages
Calculate averages for every pair of values in a column. In Minitab, choose Stat > Nonparametrics > Pairwise Averages.
Pairwise differences
Calculate differences between all pairs of values. In Minitab, choose Stat > Nonparametrics > Pairwise Differences.
Pairwise slopes
Calculate slopes between every pair of values from two columns. In Minitab, choose Stat > Nonparametrics > Pairwise Slopes.
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