Intensities observed from any sample can be reduced to any desired matrix by using interference free off-peak background as an internal standard. The normalized count IN is given by (Ip/IB) X B’, where Ip and IB are observed peak and background counts and B’, the normalization factor, is the background in the desired matrix. After blank corrections, the relation between the concentration and the intensity is IN = kC (for low concentrations), log IN = a log C (for intermediate concentrations), and log IN = a log C -b(log C)2 (for high concentrations), except when B’ is too small or too large. Adjustment of B’ is equivalent to altering experimental conditions. The second-degree curve can also be linearized by plotting log IN = log IN + b(log C)2 versus log C, or (log IN/ log C) versus log C. Analysis can be done by evaluating a and b from two standards and solving for log C. Transformation of this second-degree equation to the Siedel-Lomakin type of curve, the use of x-ray fluorescence as an absolute method of analysis without standards, with only the unknown sample and two dilutions, and the modification of influence coefficient method of Rasberry and Heinrich to a binary form consisting of only the element of interest and the matrix, all showed that such a unified approach enables analysis of all types of samples with standards in any available matrix.