Six Sigma
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…
Read MoreOne 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.…
Read MoreCentral 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…
Read MoreMulti 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…
Read MoreProcess 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…
Read MoreAttribute 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…
Read MoreVariable 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…
Read MoreBox 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…
Read MoreHistogram 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…
Read MoreScatter 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…
Read MoreMedian Test with SigmaXL
What is a Mood’s Median Test with SigmaXL? The Mood’s median test with SigmaXL 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…
Read MoreMann Whitney Test with SigmaXL
What is the Mann Whitney Test with SigmaXL? The Mann Whitney test with SigmaXL is a statistical 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…
Read MoreOne Way ANOVA with SigmaXL
What is a One Way ANOVA with SigmaXL? One way ANOVA with SigmaXL is a statistical method used to compare means of two or more populations. It is a generalized form of the two sample t-test since a two sample t-test compares two population means and one way ANOVA compares k population means where k…
Read MorePaired t Test with SigmaXL
What is a Paired t Test with SigmaXL The third type of a Two Sample t-Test is the Paired t Test with SigmaXL. 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 using a…
Read MoreTwo Sample t Test with SigmaXL
What is a Two Sample t Test with SimgaXL Two sample t test 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 μ2 is…
Read MoreOne Sample t Test with SigmaXL
What is a One Sample t Test with SigmaXL? A One sample t test with SigmaXL is a hypothesis test to study whether there is a statistically significant difference between a population mean and a specified value. Null Hypothesis (H0): μ = μ0 Alternative Hypothesis (Ha): μ ≠ μ0 Where: μ is the mean of…
Read MoreCentral Limit Theorem with SigmaXL
Understanding the Central Limit Theorem with SigmaXL The Central Limit Theorem with SigmaXL 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…
Read MoreMulti Vari Analysis with SigmaXL
Learning Multi-Vari Analysis with SigmaXL Multi Vari Analysis with SigmaXL 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 used…
Read MoreRun Chart with SigmaXL
Why we use a Run Chart with SigmaXL A run chart with SigmaXL is a chart used to present data in time order. These charts capture process performance over time. The X axis indicates time and the Y axis shows the observed values. A run chart is similar to a scatter plot in that it…
Read MoreCapability Analysis with SigmaXL
Understanding Process Capability with SigmaXL Process capability with SigmaXL 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 improvement…
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