When re-working this into a book, you need to double check your conversions of log odds into decibels. By definition, decibels are calculated using log base 10, but some of your odds are natural logarithms, which confused the heck out of me when reading those paragraphs.
Probability .0001 = −40 decibels (This is the only correct one in this post, all “decibel” figures afterwards are listed as 10 * the natural logarithm of the odds.)
Probability 0.502 = 0.035 decibels
Probability 0.503 = 0.052 decibels
Probability 0.9999 = 40 decibels
Probability 0.99999 = 50 decibels
P.S. It’d be nice if you provided an RSS feed for the comments on a post, in addition to the RSS feed for the posts...
When re-working this into a book, you need to double check your conversions of log odds into decibels. By definition, decibels are calculated using log base 10, but some of your odds are natural logarithms, which confused the heck out of me when reading those paragraphs.
Probability .0001 = −40 decibels (This is the only correct one in this post, all “decibel” figures afterwards are listed as 10 * the natural logarithm of the odds.) Probability 0.502 = 0.035 decibels Probability 0.503 = 0.052 decibels Probability 0.9999 = 40 decibels Probability 0.99999 = 50 decibels
P.S. It’d be nice if you provided an RSS feed for the comments on a post, in addition to the RSS feed for the posts...