Percentiles
main topic
 

At what stress level do half of the units fail? How much pesticide do you need to apply to kill 90% of the insects? You are looking for percentiles.

Common percentiles used are the 10th, 50th, and 90th percentiles, also known in the life sciences as the ED 10, ED 50 and ED 90 (ED = effective dose).

The probit analysis automatically displays a table of percentiles in the Session window, along with 95% fiducial confidence intervals. You can also request:

·    additional percentiles to be added to the table

·    normal approximation rather than fiducial confidence intervals

·    a confidence level other than 95%

The Percentile column contains the stress level required for the corresponding percent of the events to occur.

In this example, you exposed light bulbs to various voltages and recorded whether or not the bulb burned out before 800 hours.

Table of Percentiles

 

 

Standard

95.0% Fiducial CI

Percent

Percentile

Error

Lower

Upper

1

104.9931

1.3715

101.9273

107.3982

2

106.9313

1.2661

104.1104

109.1598

3

108.1795

1.1997

105.5144

110.2980

4

109.1281

1.1504

106.5795

111.1656

As shown in the first and second columns of the first row, at 104.9931 volts, 1% of the bulbs burn out before 800 hours.