Js. Krouwer et Kl. Monti, A SIMPLE, GRAPHICAL-METHOD TO EVALUATE LABORATORY ASSAYS, European journal of clinical chemistry and clinical biochemistry, 33(8), 1995, pp. 525-527
Evaluation methods of laboratory assays often fail to predict the larg
e, infrequent errors that are a major source of clinician complaints.
We present a simple, graphical method to evaluate laboratory assays, w
hich focuses on detecting large, infrequent errors. Our method, the fo
lded empirical cumulative distribution plot or, more simply, mountain
plot, is prepared by computing a percentile for each ranked difference
between the new and reference method. To get a folded plot, one perfo
rms the following subtraction for all percentiles over 50: percentile
= 100 - percentile. Percentiles (y axis) are then plotted against diff
erences or percent differences (x axis). The calculations and plots ar
e simple enough to perform in a spreadsheet We also offer Windows base
d software to perform all calculations and plots. The mountain plot co
mpared to the difference plot focuses attention on two features of the
data: the center and the tails. We prefer the mountain plot over othe
r graphical techniques because: 1. It is easier to find the central 95
% of the data. 2. It is easier to estimate percentiles for large diffe
rences (e.g., percentiles greater than 95%). 3. Unlike a histogram, th
e plot shape is not a function of the intervals. 4. Comparing differen
t distributions is easier. 5. The plot is easier to interpret than a s
tandard empirical cumulative distribution plot. Difference and moutain
plots each provide complementary perspectives on the data. We recomme
nd both plots. This method can also be used with data from a wide vari
ety of other applications, such as clinical trials and quality control
.