- #1
thelema418
- 132
- 4
I have a psychological testing instrument that produces an ordinal measure (0, 1, 2, 3, 4, 5). I want to change this to a ratio scale with range 0 to 5.
The instrument is designed so the first 5 questions are very easy (Level 1), the next 5 questions are harder (Level 2), the next set is even harder (Level 3)... etc. A participant scores 0 if they cannot answer any questions. They reach the "Level" if they answer 4 out of 5 of any numbers at that level.
To make this a ratio scale, I was thinking about scoring with the following points per problem at each level:
Level 1: Each problem worth 1 point
Level 2: Each problem worth 6 points
Level 3: Each problem worth 36 points
Level 4: Each problem worth 216 points
Level 5: Each problem worth 1296 points
I was going to take the sum, ##x##, and then calculate ##\log_6{x}##.
I'm wondering if there are any other suggestions about how to do this.
The instrument is designed so the first 5 questions are very easy (Level 1), the next 5 questions are harder (Level 2), the next set is even harder (Level 3)... etc. A participant scores 0 if they cannot answer any questions. They reach the "Level" if they answer 4 out of 5 of any numbers at that level.
To make this a ratio scale, I was thinking about scoring with the following points per problem at each level:
Level 1: Each problem worth 1 point
Level 2: Each problem worth 6 points
Level 3: Each problem worth 36 points
Level 4: Each problem worth 216 points
Level 5: Each problem worth 1296 points
I was going to take the sum, ##x##, and then calculate ##\log_6{x}##.
I'm wondering if there are any other suggestions about how to do this.