You can modify the default data or input new measurements. Ensure that all fields are filled before performing the ANOVA analysis.

This table displays the measurement data for each operator and part combination. Each operator has measured each part multiple times.

The Initial ANOVA Table presents the analysis of variance for the components analyzed:

• Operator: Effect due to different operators.
• Part-to-Part: Variability between different parts.
• Interaction between Operator and Part: Effect when the operator's measurements depend on the part.
• Repeatability: Variability when the same operator measures the same part multiple times.

Each component includes the following variables:

• Degrees of Freedom (DF): Number of independent values that can vary.
• Sum of Squares (SS): Total variation attributed to each component.
• Mean Square (MS): Average variation (SS divided by DF).
• Variance: Estimated variance component.
• F-Statistic: Used to determine if the component is significant.
• Critical Value: Threshold for significance at the 5% level.

Instructions for Analysis:

• Compare the F-Statistic to the Critical Value for each component.
• If F-Statistic > Critical Value, the effect is significant.
• Determine if the Interaction effect is significant to decide on pooling.

The Modified ANOVA Table adjusts the analysis by pooling the Interaction effect into Repeatability if the Interaction is not significant.

Components and Variables:

• Operator: Effect due to different operators.
• Part-to-Part: Variability between different parts.
• Repeatability (pooled): Combined variability of Interaction and Repeatability.
• Degrees of Freedom (DF): Adjusted to reflect pooling.
• Sum of Squares (SS) and Mean Square (MS): Updated values after pooling.
• Variance: Recalculated variance components.
• F-Statistic and Critical Value: Used to reassess significance.

Instructions for Analysis:

• Reevaluate the significance of Operator and Part effects using the pooled error term.
• Use the updated F-Statistics and Critical Values to determine significance.

This section presents the final uncertainty components based on the ANOVA analysis.

Uncertainty Components:

• u_AV: Standard uncertainty from the operator's variability.
• u_EVO: Standard uncertainty from equipment variation and other sources.
• u_AVint: Standard uncertainty considering interaction effects (if significant).
• u_INT: Standard uncertainty from the interaction effect (if significant).

Instructions for Analysis:

• Use these components to assess the measurement system's capability.
• Higher uncertainty values indicate greater variability from that source.
• Consider these uncertainties when making decisions about process improvements.