Isn an ordinal scale just an interval scale with error?
You can view an ordinal scale as an interval scale with error if you really want to, but the errors are not independent, additive, or identically distributed as required for many statistical methods. The errors would involve complicated dependencies to maintain monotonicity with the interval scale. In the example above with number of pellets as a measure of duration, the errors would be cumulative, not additive, and the error variance would increase over time. Hence for most statistical purposes, it useless to consider an ordinal scale as an interval scale with measurement error.
Related Questions
- Although i do think that using both ordinal and interval scale in predicting mortality will produce better results, is it possible to use just one scale if so what are the implications?
- How is the margin of error (also known as the confidence interval or standard error of proportion) calculated? Does the district need to calculate it?
- Isn an ordinal scale just an interval scale with error?
