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.(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Seeking advice on creating ratio scales from ordinal scale instruments

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