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Have mixed model with 1 between 2 level factor; 1 repeated 2 level factor; 1 rpeated 5 level factor
Dependent is some form of deviation form 'correct'
Want to know best form of that deviation
Possibilities are: raw(observed-correct), ratio(observed/correct), ln[ratio(observed/correct)]
BIC value, with smaller being better are:
BIC raw(observed-correct)       = 2196
BIC ratio(observed/correct)      =    57.5
BIC ln[ratio(observed/correct)] =    11.4

I already knew the raw was a non-starter
Now would like, for theoretical reasons, to claim that ln(ratio) is better than ratio.
Obviously 11 is lower than 57, but is it 'ENOUGH' lower?
How would one know what is a difference in BIC large enough to be useful?
Or put another way what IS the distribution of the BIC

All help gratefully received

Best

Diana
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Emeritus Professor Diana Kornbrot
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