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Splitting the main Scoring Formula in the Numerator and Denominator formulas results in the following set of formulas:
About the Numerator and Denominator. In reality, both the Numerator and Denominator are also split in two parts: Critical and Non-critical. The sum of the Critical Numerator and Non-critical Numerator equals the Numerator of the score, the same applies to the Denominator of the score. This separation of Critical and Non-critical is mainly used for the Assessment Score and the Competency Class calculations, every other score uses the combination of Critical and Non-critical questions. The use of this distinction will be further explained in the Calculating the Critical and Non-critical Scores. In this example, we will assume that every question is Critical.
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Now, Score 1.1 which contains questions Q1, Q2 and Q3 would have the following set of formulas:
For Score 1.2 containing questions Q4, Q5, Q6 and Q7 the set of formulas would be the following:
The same process would be repeated for Score 2.1 and Score 3, which also only contain questions.
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In order to define the value of Score 1, which contains multiple sub-scores, the Numerators and Denominators of each sub-score are used instead of calculating the average of each section:
This means that, if a score contains more than two sub-scores, the formula would make use of the sub-scores Numerators and Denominators like this:
This formula applies even if a sub-score contains more sub-scores, there are no limits for the number of nested scores.
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The Assessment Score will always be defined by the Critical Score unless there are no Critical Questions in the Assessment. In the case that there are no Critical Questions, the Assessment Score will be defined by the Non-critical Score. Even if the Non-critical score is not always needed for the Assessment Score calculation, it's still used for the Competency Class Calculation.
Now, to define both formulas, the formula for Scores with multiple sub-scores is used as the base:
Then, taking into account that both the Numerator and Denominator can be split into Critical and Non-critical as briefly described previously, the Critical Score and Non-critical Score are defined as follows:
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