Statistical Testing for Treatment of Data Flashcards
The most common central value used
By chemists is the __________, which is obtained by dividing the
sum of the individual values by the
number of values.
arithmetic mean,
x
It is the middle numerical value in a set of values
Median
which is not so common in analytical chemistry, of data is the value that is most frequently repeated in the data set.
Mode
refers to how closely individual measurements agree with the correct, or “true,” value.
Accuracy
measure of how closely individual measurements agree with one another
Precision
describes the nearness of an experimental value, xi , or a mean, to the true value,
accuracy
Absolute error is calculated
error =xi - µ
is used when comparing errors at different quantities
Relative error
Relative error =𝑒𝑟𝑟𝑜𝑟 / µ
Relative error is often expressed by statisticians as
Parts per hundred (pph) or percent error is the relative
error multiplied by 100. Parts per thousand (ppt) error is
the relative error multiplied by 1000
refers to the agreement between values in a set of data
Precision
It is one of the methods of showing dispersion or way of ascertaining the deviation, taken without regard to sign, of the experimental value from the central value
Average deviation (or mean deviation)
is the preferred measure of precision
and is calculated from the equation
Standard deviation of the sample
is the absolute difference between the largest and smallest values in the data set
Range
Another term to describe the precision of a set of replicate results.
Spread or Range (w)