Calibration Curve - Error in Calibration Curve Results

Error in Calibration Curve Results

As expected, the concentration of the unknown will have some error which can be calculated from the formula below. This formula assumes that a linear relationship is observed for all the standards. It is important to note that the error in the concentration will be minimal if the signal from the unknown lies in the middle of the signals of all the standards (the term goes to zero if )

s_x=\frac{s_y}{|m|}\sqrt{\frac{1}{n}+\frac{1}{k}+\frac{(y_{unk}-\bar{y})^2}{m^2\sum{(x_i-\bar{x})^2}}}

  • is the standard deviation in the residuals
  • is the slope of the line
  • is the y-intercept of the line
  • is the number standards
  • is the number of replicate unknowns
  • is the measurement of the unknown
  • is the average measurement of the standards
  • are the concentrations of the standards
  • is the average concentration of the standards

Read more about this topic:  Calibration Curve

Famous quotes containing the words error in, error, curve and/or results:

    “Theoretically, I grant you, there is no possibility of error in necessary reasoning. But to speak thus “theoretically,” is to use language in a Pickwickian sense. In practice, and in fact, mathematics is not exempt from that liability to error that affects everything that man does.”
    —Charles Sanders Peirce (1839–1914)

    “Knowledge, like matter, [my father] would affirm, was divisible in infinitum;Mthat the grains and scruples were as much a part of it, as the gravitation of the whole world.—In a word, he would say, error was error,—no matter where it fell,—whether in a fraction,—or a pound,—’twas alike fatal to truth.”
    —Laurence Sterne (1713–1768)

    “The years-heired feature that can
    In curve and voice and eye
    Despise the human span
    Of durance—that is I;
    The eternal thing in man,
    That heeds no call to die.”
    —Thomas Hardy (1840–1928)

    “We do not raise our children alone.... Our children are also raised by every peer, institution, and family with which they come in contact. Yet parents today expect to be blamed for whatever results occur with their children, and they expect to do their parenting alone.”
    —Richard Louv (20th century)