## One Sample Wilcoxon Test with Minitab

What is the One Sample Wilcoxon Test? The one sample Wilcoxon test is a hypothesis test to compare the median of one population with a specified value. Null Hypothesis (H0): η = η0 Alternative Hypothesis (Ha): η ≠ η0 It is an alternative test of one sample t-test when the distribution of the data is non-normal. It is…

## Kruskal Wallis Test with Minitab

Kruskal Wallis One-Way Analysis of Variance The Kruskal Wallis test with Minitab is a one-way analysis of variance, a statistical hypothesis test to compare the medians among more than two groups. Null Hypothesis (H0): η1 = η2 = … = ηk Alternative Hypothesis (Ha): at least one of the medians is different from others Where:…

## Moods Median Test with Minitab

What is Mood’s Median Test? Mood’s median test is a statistical test to compare the medians of two or more populations. Null Hypothesis (H0): η1 = … = ηk Alternative Hypothesis (Ha): At least one of the medians is different from the others The symbol k is the number of groups of our interest and…

## Mann Whitney Testing with Minitab

What is the Mann Whitney Test? The Mann Whitney test (also called Mann–Whitney U test or Wilcoxon rank-sum test) is a statistical hypothesis test to compare the medians of two populations that are not normally distributed. In a non-normal distribution, the median is the better representation of the center of the distribution. Null Hypothesis (H0): η1…

## One Way ANOVA with Minitab

What is One Way ANOVA with Minitab? The One way ANOVA with Minitab is a statistical method to compare means of two or more populations. Null Hypothesis(H0): Alternative Hypothesis(Ha): At least one μi is different, where i is any value from 1 to k It is a generalized form of the two sample t-test since…

## Paired t Test with Minitab

What is a Paired t Test with Minitab? A Third type of a Two Sample t-Test using Minitab is the Paired t Test with Minitab.  This test is used when the two populations are dependent of each other, so each data point from one distribution corresponds to a data point in the other distribution. When…

## Two Sample t Test with Minitab

What is Two Sample T Test with Minitab? Two sample t test with Minitab is a hypothesis test to study whether there is a statistically significant difference between the means of two populations. Null Hypothesis (H0): μ1 = μ2 Alternative Hypothesis Ha) : μ1 ≠ μ2 Where: μ1 is the mean of one population and…

## One Sample t Test with Minitab

What is a t Test? In statistics, a t test is a hypothesis test in which the test statistic follows a Student’s t distribution if the null hypothesis is true. We apply a one sample t test with Minitab when the population variance (σ) is unknown and we use the sample standard deviation (s) instead.…

## Central Limit Theorem with Minitab

What is the Central Limit Theorem with Minitab? The Central Limit Theorem is one of the fundamental theorems of probability theory. It states a condition under which the mean of a large number of independent and identically-distributed random variables, each of which has a finite mean and variance, would be approximately normally distributed. Let us…

## Multi Vari Analysis with Minitab

What is Multi Vari Analysis with Minitab? Multi Vari analysis with Minitab is a graphic-driven method to analyze the effects of categorical inputs on a continuous output. It studies how the variation in the output changes across different inputs and helps us quantitatively determine the major source of variability in the output. Multi-Vari charts are…

## Process Capability with Minitab

What is Process Capability with Minitab? Process capability with Minitab measures how well the process performs to meet given specified outcome. It indicates the conformance of a process to meet given requirements or specifications. Capability analysis helps to better understand the performance of the process with respect to meeting customer’s specifications and identify the process…

## Attribute MSA with Minitab

Implement an Attribute MSA with Minitab Data File: “Attribute MSA” tab in “Sample Data.xlsx” (an example in the AIAG MSA Reference Manual, 3rd Edition). Steps in Minitab to run an attribute MSA: Step 1: Reorganize the original data into four new columns (i.e., Appraiser, Assessed Result, Part, and Reference). Click Data → Stack → Blocks…

## Variable Gage R&R with Minitab

What is Variable Gage R&R with Minitab? Whenever something is measured repeatedly or by different people or processes, the results of the measurements will vary. Variation comes from two primary sources: Differences between the parts being measured The measurement system We can use a variable Gage R&R to conduct a measurement system analysis to determine…

## Box Plot with Minitab

What is a Box Plot with Minitab? A box plot with Minitab is a graphical method to summarize a data set by visualizing the minimum value, 25th percentile, median, 75th percentile, the maximum value, and potential outliers. A percentile is the value below which a certain percentage of data fall. For example, if 75% of…

## Histogram Rendering with Minitab

What is Histogram Rendering with Minitab? A histogram is a graphical tool to present the distribution of the data. The X axis represents the possible values of the variable and the Y axis represents the frequency of the value occurring. This graphical summary consists of adjacent rectangles erected over intervals with heights equal to the frequency…

## Scatter Plot with Minitab

What is a Scatter Plot with Minitab? A scatter plot with Minitab is a diagram to present the relationship between two variables of a data set. A scatter plot consists of a set of data points. On the scatter plot, a single observation is presented by a data point with its horizontal position equal to…