Da. Labianca et G. Simpson, STATISTICAL-ANALYSIS OF BLOOD-ALCOHOL TO BREATH-ALCOHOL RATIO DATA INTHE LOGARITHM-TRANSFORMED AND NONTRANSFORMED MODES, European journal of clinical chemistry and clinical biochemistry, 34(2), 1996, pp. 111-117
The statistical analysis of non-transformed and logarithm-transformed
blood- to breath-alcohol ratios (''blood/breath ratios'') is detailed.
The data analyzed were derived from 137 simultaneous blood-alcohol an
d breath-alcohol concentration measurements made between 15 and 179 mi
n after the end of drinking, with 136 of the measurements obtained dur
ing the 15- to 124-min time frame. Although the distribution of the no
n-transformed ratios is positively skewed, and that of the logarithm-t
ransformed data more closely approximates the normal distribution upon
visual inspection, both analyses generated results that do not differ
significantly from each other when considered in the context of ''mea
n ratios +/- 2SD''. This is in accord with the results of the Kolmogor
ov-Smirnov goodness-of-fit test, which does not reject either dataset
and demonstrates that both are approximately normal. Since the logarit
hm-transformed data generate more conservative statistical blood/breat
h ratio ranges than the non-transformed data, they were selected as th
e basis for the principal conclusion of this work. That conclusion is
a refutation of the argument that, breath-alcohol analyzers relying on
a 2100:1 blood/breath ratio tend to underestimate the blood-alcohol c
oncentrations of driving-while-intoxicated arrestees because the commo
nly accepted mean postabsorptive ratio is 2300:1. In fact, whenever th
e absorption status of a driving-while-intoxicated arrestee at the tim
e of a breath test cannot be definitively established, the results of
this work support the application of a relative error range of -40% to
+ 28% for 95% of the population, based on a statistical blood/breath
ratio range of 1259:1 to 2679:1, and -46% to + 42% for 99% of the popu
lation, based on a statistical range of 1128:1 tp 2989:1.