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What’s A One-Way ANOVA?

The One-Way ANOVA Test is a hypothesis test that determines whether a statistically significant difference (aka variance) exists between the averages of two or more independent sets of normally distributed continuous data. It is useful for determining if a particular strata or group could provide insight into the root cause of process issues.

An example would be if Assembly Line A products weigh an average of 10.4 pounds, Assembly Line B products weigh an average of 9.2 pounds and Assembly Line C products weigh an average of 11 pounds and you want to determine if any of the 3 lines truly has a different average from the others or if the difference is just due to random chance.

Learn more about One-Way ANOVA in Analyze Phase, Module 4.3.5 of Black Belt Training.

How To Run A One-Way ANOVA In SigmaXL

Download the One-Way ANOVA Data Set for SigmaXL here. 

1. Select Raw Data:


2. In The Menu Click Statistical Tools > One-way ANOVA & Means Matrix > One-way ANOVA:


3. Select unstacked column format. Then select the data sets and click once on “Numeric Data Variables” to enter the data into the tab:


4. Click OK:

OneWayANOVA-SigmaXL-1 OneWayANOVA-SigmaXL-2

To learn more about One-Way ANOVA, register for Black Belt Training and review Analyze Phase, Module 4.3.5.