How ARPEDIO Calculates Assessment Scores

ARPEDIO calculates scores at four levels (Overall, Area, Topic, and Answer) to give you a clear picture of how complete and healthy each assessment is. Every score is scaled to a maximum of 5.

The four score levels

1. An Overall score for the full assessment
2. A score for each Area
3. A score for each Topic within an Area
4. A weight for each Answer to a question

Importance and weighting

Areas, Topics, and Questions can each be assigned an Importance level, which influences the final score. The three Importance levels carry the following weights:

How the overall score is calculated

The Overall Score is the weighted average of all Area scores, based on each Area's Importance:

Score(Overall) = (S(A1)*I(A1) + S(A2)*I(A2) + … + S(An)*I(An)) / (I(A1) + I(A2) + … + I(An))

Where S(A2) is the score of the second Area and I(A2) is the Importance of the second Area.

How an area score is calculated

An Area score is the weighted average of all Topic scores within that Area:

Score(Area) = (S(T1)*I(T1) + S(T2)*I(T2) + … + S(Tn)*I(Tn)) / (I(T1) + I(T2) + … + I(Tn))

Where S(T2) is the score of the second Topic and I(T2) is the Importance of the second Topic.

How a topic score is calculated

A Topic score is based on the Answer weights and Importance of each Question within the Topic:

Score(Topic) = (A(Q1)*I(Q1) + A(Q2)*I(Q2) + … + A(Qn)*I(Qn)) / (I(Q1) + I(Q2) + … + I(Qn)) * 5

Where A(Q2) is the Answer weight for the second Question and I(Q2) is the Importance of the second Question.

How answer weights are distributed

Each Answer option carries a weight between 0 and 1, distributed progressively across the available options. The first option always carries a weight of 0 and the last always carries a weight of 1:

The weight for each option is calculated using the formula below, where Ax is the x'th Answer option out of # total options, and Step = 1 + 2 + … + (#-1):

Weight(Ax) = x/Step + (x-1)/Step + (x-2)/Step + …
Weight(A0) = 0
Weight(A#) = 1