Statistical Details for Attribute Gauge Charts

For the first chart in Figure 6.5 that plots all X, Grouping variables on the x-axis, the percent Agreement is calculated as follows:

Equation shown here

For the second chart in Figure 6.5 that plots all Y, Response variables on the x-axis, the percent Agreement is calculated as follows:

Equation shown here

Note the following:

• n = number of parts (grouping variables)

• ri = number of reps for part i (i = 1,...,n)

• m = number of raters

• k = number of levels

• Ni = m x ri. Number of ratings on part i (i = 1,...,n). This includes responses for all raters, and repeat ratings on a part. For example, if part i is measured 3 times by each of 3 raters, then Ni is 3 x 3 = 9.

For example, consider the following table of data for three raters, each having three replicates for one part.

Table 6.1 Three Replicates for Raters A, B, and C
	A	B	C
1	1	1	1
2	1	1	0
3	0	0	0

Using this table, you can make these calculations:

% Agreement = Equation shown here

% Agreement [rater A] = percent Agreement [rater B] = Equation shown here and

% Agreement [rater C] = Equation shown here

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