Lagrange interpolation approach to experimental data

Interpolation is an estimate of the unknown inter values via the use of the known values. In this study, it is reported that Lagrange interpolation could be applied to the experimental data obtained from trials which has ratio or scale of levels of at least one factor. For example, with Lagrange interpolation, it is possible to form the following: the result values of any intermediate levels, the absolute and local maxima/minima, turning points, the intermediate level of a desired result value and the standard errors of all the estimated ones and a desired result value, confidence limits, the result value of a level outside the range, estimates of missing observations, as well as the response surface estimates for the value and results in the form of graphic interaction in three-dimensional surface. By using Lagrange interpolation, the investigator is shown to obtain new ideas and interpretations in addition to the information of the well-known classical analysis.