Massei's statistics
I'm struggling a bit with Massei's statistical interpretation on p.175 (PMF translation) of the Report - perhaps someone can help? At the top of the page, Massei references Prof. Introna's TOD estimate derived from body cooling data. The TOD estimate is a normal (Gaussian) distribution with a mean value of 2250h and a 95% "tolerance" (culminative probability?) of about 9 hours centred on the mean TOD. Therefore, in a normal distribution, 2 standard deviations should be about 4 1/2 hours from the mean TOD. This all seems reasonable enough.
However, at the bottom of p.175 Massei opines that "it is possible to formulate hypotheses of the time of death that lie some "tens of minutes" before or after 22:50PM". He assigns these hypotheses a "tolerance" which is "near..95%". My interpretation of the normal distribution curve would suggest about a 50% probability of a TOD more than 90 minutes from the mean TOD. I'm not sure how Massei was able to assign such a high probability (near 95%) to a brief interval (tens of minutes) around the mean TOD. Is Massei's interpretation a bit shaky, or was I asleep that day in statistics class?
I'm struggling a bit with Massei's statistical interpretation on p.175 (PMF translation) of the Report - perhaps someone can help? At the top of the page, Massei references Prof. Introna's TOD estimate derived from body cooling data. The TOD estimate is a normal (Gaussian) distribution with a mean value of 2250h and a 95% "tolerance" (culminative probability?) of about 9 hours centred on the mean TOD. Therefore, in a normal distribution, 2 standard deviations should be about 4 1/2 hours from the mean TOD. This all seems reasonable enough.
However, at the bottom of p.175 Massei opines that "it is possible to formulate hypotheses of the time of death that lie some "tens of minutes" before or after 22:50PM". He assigns these hypotheses a "tolerance" which is "near..95%". My interpretation of the normal distribution curve would suggest about a 50% probability of a TOD more than 90 minutes from the mean TOD. I'm not sure how Massei was able to assign such a high probability (near 95%) to a brief interval (tens of minutes) around the mean TOD. Is Massei's interpretation a bit shaky, or was I asleep that day in statistics class?
