How Digital SAT Scaled Score is calculated on EdisonOS
The Digital SAT on EdisonOS follows a scoring system where raw scores are awarded during the assessment. Raw score and question difficulty values are used to calculate scaled SAT score.
The Digital SAT is divided into two sections: Reading and Writing and Math. Each section has a minimum score of 200 and a maximum of 800. The cumulative of these two sections results in the final score ranging from 400 to 1600.
Each assessment has 2 sections
Each section has 2 modules (baseline and adaptive)
The 1st section (Reading and Writing) has a total of 54 questions (27 questions in each module) and 64 minutes (32 minutes for each module) in total to complete the section.
The 2nd section (Math) has a total of 44 questions (22 questions in each module) and 70 minutes (35 minutes for each module) in total to complete the section.
Admins can create separate sections for each assessment.
Admins can set the difficulty level for each question (no difficulty, very easy, easy, medium, hard, very hard).
Admins add each question to a particular section in the assessment along with options, correct answers, explanations, tags, difficulty levels and hints.
EdisonOS follows a “difficulty value - difficulty level” mapping system in order to calculate the weighted mean score using raw score.. Below is the mapping system for each difficulty level:
The weighted mean score will be calculated based on the difficulty level set by the admin for each question.
For every correct answer a student provides, the raw score is 1.
For every incorrect answer a student provides, the raw score is 0.
For every question skipped by a student, the raw score is 0.
After a student attempts to answer all the module questions, the weighted mean score is calculated for that particular section against the difficulty level.
Weighted mean score = Sum [(raw score awarded for the question) * (difficulty value of the question)] / total question count
Let’s take an example:
Example 1:- Let’s assume that there are 6 questions in module 1 (considered 6 questions to keep the explanation simpler)
Question 1: 0 incorrect (medium⟶3)
Question 2: 1 correct (hard⟶4)
Question 3: 1 correct (easy⟶2)
Question 4: 1 correct (very easy⟶ 1)
Question 5: 1 correct (very hard⟶5)
Question 6: 1 correct (no difficulty⟶0)→(medium⟶3)
Each question must have a difficulty tag calculating the maximum weighted mean scores to convert raw scores to scaled scores. ‘No difficulty’ is a default option provided. In any case, if ‘No difficulty’ is not replaced (in the above example, question 6) with any of the other difficulty levels offered, EdisonOS assumes the medium difficulty level for that particular question.
Calculating weighted mean score:
Weighted mean score = (0*3 + 1*4 + 1*2 + 1*1 + 1*5 + 1*3)/6 = 15/6 = 2.5
EdisonOS follows a formula to convert raw scores to scaled scores.
Section scaled score = Min scaled score for section + (Weighted mean score / Max weighted mean score) * (Max scaled score for section - Min scaled score for section)
(As per the official Digital SAT, the total Min possible scaled score is 400, and Max possible scaled score is 1600. For each section, the minimum score is 200, and the maximum score is 800.)
Hence,
Max scaled score for section = 800
Min scaled score for section = 200
Section scaled score = 200 + (Weighted mean score / Max weighted mean score) * (800 - 200)
Weighted mean score = 2.5 (as calculated above)
Calculating, Max weighted mean score = Sum [(correct raw score of a question) * (difficulty value of the question)] / total question count
Max weighted mean score = (1*3 + 1*4 + 1*2 + 1*1 + 1*5 + 1*3) / 6 = 3
Therefore, Module scaled score = 200 + (2.5 / 3) * (800 - 200) = 700
The scaled score for the above section with 6 questions is 700.
Difficulty level of the question because difficulty gives the weightage.
Min and Max scaled score sections (the Min and Max scaled score values vary for SAT, PSAT/NMSQT and PSAT 8/9)
The scaled score calculation is subject to EdisonOS and in no way replicates the official College Board scoring algorithm.
The Digital SAT is divided into two sections: Reading and Writing and Math. Each section has a minimum score of 200 and a maximum of 800. The cumulative of these two sections results in the final score ranging from 400 to 1600.
Digital SAT assessment structure
Each assessment has 2 sections
Each section has 2 modules (baseline and adaptive)
The 1st section (Reading and Writing) has a total of 54 questions (27 questions in each module) and 64 minutes (32 minutes for each module) in total to complete the section.
The 2nd section (Math) has a total of 44 questions (22 questions in each module) and 70 minutes (35 minutes for each module) in total to complete the section.
Setting up assessments (Admin. dashboard)
Admins can create separate sections for each assessment.
Admins can set the difficulty level for each question (no difficulty, very easy, easy, medium, hard, very hard).
Admins add each question to a particular section in the assessment along with options, correct answers, explanations, tags, difficulty levels and hints.
Raw score calculation on EdisonOS
EdisonOS follows a “difficulty value - difficulty level” mapping system in order to calculate the weighted mean score using raw score.. Below is the mapping system for each difficulty level:
| Difficulty value | Difficulty Level |
|---|---|
| 0 | No difficulty |
| 1 | Very easy |
| 2 | Easy |
| 3 | Medium |
| 4 | Hard |
| 5 | Very hard |
The weighted mean score will be calculated based on the difficulty level set by the admin for each question.
For every correct answer a student provides, the raw score is 1.
For every incorrect answer a student provides, the raw score is 0.
For every question skipped by a student, the raw score is 0.
After a student attempts to answer all the module questions, the weighted mean score is calculated for that particular section against the difficulty level.
Weighted mean score = Sum [(raw score awarded for the question) * (difficulty value of the question)] / total question count
Let’s take an example:
Example 1:- Let’s assume that there are 6 questions in module 1 (considered 6 questions to keep the explanation simpler)
Question 1: 0 incorrect (medium⟶3)
Question 2: 1 correct (hard⟶4)
Question 3: 1 correct (easy⟶2)
Question 4: 1 correct (very easy⟶ 1)
Question 5: 1 correct (very hard⟶5)
Question 6: 1 correct (no difficulty⟶0)→(medium⟶3)
Each question must have a difficulty tag calculating the maximum weighted mean scores to convert raw scores to scaled scores. ‘No difficulty’ is a default option provided. In any case, if ‘No difficulty’ is not replaced (in the above example, question 6) with any of the other difficulty levels offered, EdisonOS assumes the medium difficulty level for that particular question.
Calculating weighted mean score:
Weighted mean score = (0*3 + 1*4 + 1*2 + 1*1 + 1*5 + 1*3)/6 = 15/6 = 2.5
Converting weighted mean score to scaled scores on EdisonOS
EdisonOS follows a formula to convert raw scores to scaled scores.
Section scaled score = Min scaled score for section + (Weighted mean score / Max weighted mean score) * (Max scaled score for section - Min scaled score for section)
(As per the official Digital SAT, the total Min possible scaled score is 400, and Max possible scaled score is 1600. For each section, the minimum score is 200, and the maximum score is 800.)
Hence,
Max scaled score for section = 800
Min scaled score for section = 200
Section scaled score = 200 + (Weighted mean score / Max weighted mean score) * (800 - 200)
Weighted mean score = 2.5 (as calculated above)
Calculating, Max weighted mean score = Sum [(correct raw score of a question) * (difficulty value of the question)] / total question count
Max weighted mean score = (1*3 + 1*4 + 1*2 + 1*1 + 1*5 + 1*3) / 6 = 3
Therefore, Module scaled score = 200 + (2.5 / 3) * (800 - 200) = 700
The scaled score for the above section with 6 questions is 700.
Note: Scaled score depends on the following parameters
Difficulty level of the question because difficulty gives the weightage.
Min and Max scaled score sections (the Min and Max scaled score values vary for SAT, PSAT/NMSQT and PSAT 8/9)
Disclaimer
The scaled score calculation is subject to EdisonOS and in no way replicates the official College Board scoring algorithm.
Updated on: 29/09/2023
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