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The sum of squares (SS) is the sum of squared distances, and is a measure of the variability that is from different sources.

- SS
_{Operator} -
Term Description a number of parts n number of replicates mean for each operator grand mean - SS
_{Part (Operator)} -
Term Description n number of replicates mean for each part, i, within operator, j mean for operator j - SS
_{Repeatability} -
Term Description each observation mean for each part, i, within operator, j - SS
_{Total} - SS
_{Total}= SS_{Operator}+ SS_{Part (Operator)}+ SS_{Repeatability}

The degrees of freedom (DF) for each SS (sums of squares). In general, DF measures how much information is available to calculate each SS.

- DF
_{Operator} -
Term Description b number of operators - DF
_{Part (Operator)} -
Term Description a number of parts measured by each operator b number of operators - DF
_{Repeatability} -
Term Description a number of parts b number of operators n number of replicates - DF
_{Total} -
Term Description a number of parts b number of operators n number of replicates

The mean squares (MS) is the variability in the data from different sources. MS accounts for the fact that different sources have different numbers of levels or possible values.

- MS
_{Operator} - MS Part (Operator)
- MS Repeatability

The F-statistic is used to determine whether the effects of Operator or Part (Operator) significantly impact the measurement.

- F
_{Operator} - F
_{Part(Operator)}

The p-value is the probability of obtaining a test statistic (such as the F-statistic) that is at least as extreme as the value that is calculated from the sample, if the null hypothesis is true.