analytical selectivity and sensitivity, assay quality control and statistical computations Flashcards
what are the 5 steps to analytical methodology
plan sampling sample prep analytical measurement data analysis
plan
Qualitative, quantitative or both?
What kind of information do we have?
What technique is suitable?
sampling
Accuracy depends on proper sampling, characteristic of sample is important, required good representative sample (from top, middle and bottom and mix up and take average sample)
sample prep
Depends on analytical techniques
analytical measurement
Which techniques are best?
data analysis
Whether data acquires make sense or not
what 7 points should be considered when choosing an instrument for any measurement
Accuracy and precision required
Available sample amount
Concentration range of the analyte
Interference in sample
Physical and chemical properties of the sample matrix
Number of samples to be analysed
Speed, ease, skill and cost of analysis
6 figures of merit for an analytical method
Precision
Bias
Sensitivity
Detection limit
Concentration range
Selectivity
what is precision
How close the same measurements made on the same material are to one another. The degree of mutual agreement amongst data that have been obtained in the same manner. Precision provides a measure of the random or indeterminate error of an analysis.
what is accuracy
How close the measurement approached the real value?
what is bias
Bias provides a measure of the systematic, or determine error of an analytical method
bias: x’ = x + δ +
where is x’ is the population mean, δ is the bias (perhaps caused by an interfering component), is a random component (experimental error), and x is the true value.
see powerpoint for
terms on calculation precision
see powerpoint for
normal distribution
see powerpoint for
standard deviation
absorption - concentration relationships
If various different concentrations of a sample are subjected to
UV/Vis radiation the different absorbance readings obtained
can be plotted on a graph against concentration.
see powerpoint for
absorbance - concentration relationships graph
correlation and regression
Is there a relationship between x and y?
What is the strength of this relationship?
- Pearson’s r
Can we describe this relationship and use it to predict y from x?
- Regression
- Fitting a line using the Least Squares solution
Is the relationship we have described statistically significant?
- Significance tests
what do correlation coefficient values tell us
how well our data fit a LINEAR relationship
see powerpoint for
person’s correlation coefficient
best line fit
Aim of linear regression is to fit a straight line, ŷ = ax + b to data that gives best prediction of y for any value of x
This will be the line that minimises distance between data and fitted line, i.e. the residuals
see powerpoint for
best fit line equation graph
how to find a from the equation
now we find the value of a that gives the least sum of squares
trying out different values of a is equivalent to changing the slope of the line, while b stays constant
how to find b from the equation
First we find the value of b that gives the least sum of squares
Trying different values of b is equivalent to shifting the line up and down the scatter plot
what are two regression fit warnings
outliners
more than 1 different population or contrast