UNIT3 Sampling, Calibration & Error Flashcards
What is sampling?
Process of obtaining a representative fraction
What are the steps to determine the sample?
Identify population –> gross sample (homogenization)–> Laboratory sample
What is a uniased mean estimate
All members have equal probability of being included
Unbiased variance estimate
every sample is equally likely to be drawn
What is Calibration?
The relationship between the analytical response and the analyte concentration
What do calibrations require?
Purified agents
Standardized methods
What do calibrations compare?
Compare a property of analyte with that of a standard
What is a series of concentrations of standard solutions?
Serial dilution
How do you prepare a serial dilution?
Seperatelt from the sample via purified chemicals
What can you obtain from a calibration function?
Graph or mathematical formula
What is the Least squares method?
Used to find the mathematical eq for calibration
What is the X and Y of a least squares method?
X- abscissa
Y- Ordinate
What is the equation for the regression model?
y=mx+b
What is the coefficient of determination and what does it mean?
R^2=0-1
Needs to be larger than 0.9
What is a blank?
Contain solvent and reagent but no analyte
What is the ideal blank? Does it exist?
The analytical response =0
–> DOES NOT EXIST
What is the corrected response?
Sample response-blank response
What is the corrected reading?
The corrected response, used for calibration
Why do we need to be careful with calibrations? What is the matrix effect?
Need to be careful to avoid contamination
The matrix effect can interfere with a sample migth enhance/reduce analyte response
What is the difference between measured data and predicted data?
A Residual
What is the equation for a residual?
=Yi-(AXi+B)
A lower amount of residuals results in?
Higher accuracy
What should the trendline be for residuals?
0
Cannot be over 20
What do you plot residuals against?
Concentration
What are some ways to minimize calibration error?
Certified reference materials
Seperation techniques
Internal standard
External Standard
What is an internal standard?
A known amount of reference species is added to sample standard and blanks
The ratio of analyte signal to reference species is recorded
What is the calibration curve of an internal standard plotting?
Ratio of the reading analyte to reading of fixed
X: analyte of concentration
Y: recorded ratio
Why do we use an internal standard?
Compensate for variations of measurement
- > regression model
- > compare R^2
- > calculate unknown
What are some figuresof merit?
sensitivity
detection limit
linear dynamic range
Calibration sensitivity
Slope of curve
X indicates conc differences
Analytical sensitivity
Ratio of calibration curve to std dev. of analytical at given analyte conc.
Detection Limit
Lowest concentration that can be reported within a certain level
How do you calculate detection limit?
y=3Sb1Sb=std. dev. of blank
–> calculate corresponding concentration
Linear Dynamic Range
Max, where calibration is no longer applicable
–> upper limit is concentration of analytical signal deviates 5% from linearity
What is standard deviation?
Measure eof precision
What are the standard deviations at 1,2,3?
μ+1σ=68.3%
μ+2σ=95.4%
μ+3σ=99.7%
Lower std dev
Increase precision
Lower standard error
Standard error
S/√ N
Relative Standard Deviation
RSD=S/x
Spread or Range?
w=largest value-smalled value
Sources of error
Instrumental–> correctable, periodic
Method–> most serious
Personal –> overcome by instrumentation
Absolute Error
Difference between easured value and true value
E=X(measured)-X(true)
Relative Error
Aboslute error devided by true value
Er= (Xi-Xt)/Xt
percent, ppm
Error can be…
constnat, independent of sample size
As sample size decreases
Error becomes more serious
What is a blank determination
solution contains all solvents and reganets of analyte, reveals error
What is error?
The measurement of uncertainty
What is normal distribution?
distribution of replicates of analysis
Can random error be eliminated?
No, it is uncertain
Cannot be detected
Why is it important for analytical results
errors have serious effect and must be detected for accuracy
What is error cause by?
Experimenter
Faulty calibration standardization
Random variation
What is measured data?
Est. of true value
What is analytical data w/o qualtity of unknown
WORTHLESS
Replicates
Sample of same size, analyzed the same way
Central Value
Mean: the average
Median
Median
The middle value in a set of data arranged in numerical order
What central value method is useful when there is a n outlier
Median
Outlier
A significantly different value
Accuracy
Closeness of a measured value to the true or accepted value
How is accuracy expressed?
absolute or relative error
What is percent recovery?
Measured value/reference value
Precision
Closeness of replicates of results in the same way
How is precision expressed?
Std. dev., variance, coefficient of variation
What is systematic error
Affects measurement accuracy, can cause the mean to differ from true/accepted value
Random Error
Indeterminate error
Affects measurement precision
What is Gross error
Outliers
Caused by humans
Determined statistically