How does score calculation work for section wise weighted forms?

UpRaise allows you to create a section-wise weighted form by using any of the base templates available. Check how to Design section-wise weighted form template? You can add different types of questions in each section of the template. Some of these question types - like star rating, multiple choice, opinion scale, drop-down can be assigned scores at the time of template creation. Let us see how does this scoring work.

While creating a template, UpRaise admin/super admin can decide whether they want to associate scores & weightage with the given section by checking or unchecking score checkbox in the field settings. When UpRaise admin/super admin click on scores checkbox scores will be associated with relevant questions that section. Default weightage of 5 is assigned to any scored section. The weightage is relative. So the section with weightage 10 will carry double importance as compared to the one with weightage 5, on the final score calculation at the form level.

Calculation of score

In section wise weighted forms, scores are calculated twice -

  • Score calculation of individual section - reflected in the form in front of each section

  • Aggregated score of all sections as final score of the form - reflected on my forms page and view responses page(visible here only to admins)

Score calculation of individual section

Score calculation of the each individual section happens based on the selected answers as response and the weightage of questions in that section. According to the below image, if user selects one star then the score will be 1, if user selects 2 stars as his answer then the score will 2 and so on. And then it will be multiplied with the assigned weightage of the question.


scores.png

Let us see an example of the section level score calculation. In the image below, goals section has 5 questions. Question 1 & 2 are not associated with score, question 3,4 & 5 are associated with scores with equal weightage of 5. Weightage comes into picture when the average score of the section is being calculated. 

full form scores sections.png

In the image above, it is shown that the team member has obtained 3.33 scores in goals section whereas reviewer gives 3.67. The following formula is applicable for these calculations.

Calculation of score at section level  (formula) sum of (weightage for respective question multiplied by corresponding score received) / total weightage of all scored questions


Team member's score of goals section -

15(weightage: 5 x score:3) + 20(weightage:5 x score: 4) + 15(weightage:5 x score: 3)           

       =  50  / 15 (total weightage: 5+5+5) = 3.33


Reviewer's score of goals section -

20(weightage: 5 x score:4) + 15(weightage:5 x score: 3) + 20(weightage:5 x score: 4)

      =  55  / 15 (total weightage: 5+5+5) = 3.67

In this way, each section's score is calculated and then reflected in front of the section title. 

Aggregated score of all sections as final score of the form 

Now let us see how the final score of all sections is calculated and reflected as the final score of the users involved in the form. 

There are two steps when the aggregate score of all sections is calculated. The system calculates possible scores and actual scores of each section and then it retrieves the final actual and possible score of the form. Check the top highlighted part of the image below.  Actual score 3.44 / possible score 4.67 for team member. In same way, the system calculates actual & possible score for reviewer. Here in the example (we have added calculation only for team member's scores in example). 

sectionwise form.png

Actual scores 

While calculating actual scores system considers the achieved score in the question that is option selected by user as answer. 

Step 1- In step one system calculates actual score of each section

Actual Section wise score (formula) - sum of (weightage for respective question multiplied by the corresponding score received) / total weightage of all scored questions

Productivity section -

5(weightage: 5 x score:1) + 20(weightage:5 x score: 4) + 20(weightage:5 x score: 4)

      = 45 / 15 (total weightage: 5+5+5) = 3


Skills section - 

25(weightage: 5 x score:5) + 15(weightage:5 x score: 3) + 20(weightage:5 x score: 4)

      = 60 / 15 (total weightage: 5+5+5) = 4

Goals section - 

15(weightage: 5 x score:3) + 20(weightage:5 x score: 4) + 15(weightage:5 x score: 3)

     = 50 / 15 (total weightage: 5+5+5) = 3.33


Step 2 - In step two system calculates the actual aggregate score from all sections. 

Actual aggregate score of all scored sections (formula) - sum of (weightage for respective section multiplied by the corresponding score received) / total weightage of all scored sections

Actual aggregate score of all scored sections -

15(weightage of section: 5 x score:3) + 20(weightage of section:5 x score: 4) + 16.65(weightage of section:5 x score: 3.33) 

       = 51.65 / 15 (total weightage of all sections: 5+5+5) = 3.44

Possible scores

While calculating possible scores system considers the maximum possible score in the question that is last option in the answer/choices given

Step 1-  In step one system calculates possible score of each section

Calculation of these possible scores (formula) - sum of (weightage of each question multiplied by corresponding maximum possible score) / total weightage of all scored questions

Productivity section - 

20(weightage: 5 x score:4) + 25(weightage:5 x score: 5) + 25(weightage:5 x score: 5)

      = 70 / 15 (total weightage: 5+5+5) = 4.67

Skills section - 

25(weightage: 5 x score:5) + 25(weightage:5 x score: 5) + 20(weightage:5 x score: 4)

        = 70 / 15 (total weightage: 5+5+5) = 4.67

Goals section -

 20(weightage: 5 x score:4) + 25(weightage:5 x score: 5) + 25(weightage:5 x score: 5)

        = 70 / 15 (total weightage: 5+5+5) = 4.67

Step 2 -  In step two system calculates the possible aggregate score from all sections. 

Possible aggregate score of all scored sections (formula) - sum of (weightage of each section multiplied by corresponding maximum possible score) / total weightage of all scored section

Possible aggregate score of all scored sections -

 23.33(weightage of section: 5 x score of section:4.67) + 23.33(weightage of section: 5 x score of section: 4.67) +23.33(weightage of section: 5 x score of section: 4.67)

     = 69.99 / 15 (total weightage of all sections: 5+5+5) = 4.67

You can refer these scores to compare performance of two different users. You will be able to see these scores in reports, on my form page and on view responses page along with maximum possible scores that can be achieved in the distributed form. 

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