Exam 1 Flashcards
what is the mean and how do you calculate it
-mean = average
-sum of values/ number of values
accuracy
-how close a measurement is to the true value
-compare mean to true value
-assess by absolute error or relative error
absolute error
diff btwn experimental value and true vlaue (Eabs = x - T)
relative error
-compare diff btwn experimental value and true value, against the true value
-(Erel = (x-T)/T
precision
-how close are replicate measurements to each other
-measure of repeatability
-assess by:
stdev
CV
CI
std error of the mean
relative deviation from the mean
standard deviation
-measures precision: how close vlaues are to each other
-use n in denominator for 30 + samples, otherwise use n-1
-SD = square root (sum (xi - mean)^2 / n-1)
sources of error with evaluation of analytical data
-systematic error
-random error
-blunders
systematic error
-results consistently deviate from true value
ex: pipette not calibrated correctly
random error
-can fluctuate and are unavoidable
-ex: differences btwn balances (drafts in the room)
blunders
-big “screw ups”
-ex: pipetting 0.5 ml instead of 1 ml
what is the reliability of analysis?
sensitivity vs. limit of detection
sensitivity
-magnitude of change in measurement with change in conc. of compound
-ex: how great is the change on y-axis relative to change on x-axis
limit of detection (LOD) & values similar to LOD
-lowest possible amount that we can detect with statistical significance
-values similar:
method detection limit
limit of quantitation
what is regression analysis & how is it used
-standard curves: estimates the linear relationship btwn a scalar response and one or more explanatory variables (dep. and indep.)
-used to determine unknown concentrations
->only if conc of substance is
proportional to measurement
what is linear regression most often used to construct?
curves
what is the importance of moisture content
-preservation and stability
-quality factor
-convenience in packaging or shipping
-meeting compositional standards and Standards of Identity
-required for nutrition label calculations
-express results of other analytical determinations on a dry weight basis, for comparison
what are total solids
dry matter that remains after moisture removal
how are challenges created in moisture and water activity analysis
-struct. of water molecules and its moving to and from the environment during sample handling
-measuring water in all its common states
-water interacts with food components
what are water’s common states
solid, liquid, gas
what do you need to do prior to moisture analysis?
minimize moisture losses and gains in sample collection and sampling
how do water molecules interact with each other
-hydrogen bonding
hydrogen bond characteristics
-relatively weak and short-lived
-ex: picoseconds for forming, breaking, and reforming
-stable enough overall for good interactions
dynamic equilibrium
-exists once reversible reaction occurs
-substances transition btwn states at equal rates, no net change
-there is a steady state
steady state
conc. of reactants and products form at such a rate that neither changes