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:

    “Truth on our level is a different thing from truth for the jellyfish, and there must certainly be analogies for truth and error in jellyfish life.”
    —T.S. (Thomas Stearns)

    “When a scientist is ahead of his times, it is often through misunderstanding of current, rather than intuition of future truth. In science there is never any error so gross that it won’t one day, from some perspective, appear prophetic.”
    —Jean Rostand (1894–1977)

    “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)

    “Different persons growing up in the same language are like different bushes trimmed and trained to take the shape of identical elephants. The anatomical details of twigs and branches will fulfill the elephantine form differently from bush to bush, but the overall outward results are alike.”
    —Willard Van Orman Quine (b. 1908)