Grams, Ralph R., Johnson, Eugene A., and Benson, Ellis S.: Laboratory data analysis system. Section III: Multivariate normality. Am. J. Clin. Pathol. 58: 188–200, 1972. A new form of laboratory data interpretation, called “multivariate analysis,” is described. This process is feasible because of a sampling of normal people, a transformation scheme designed to create variable uniformity around a standard Gaussian distribution, and a practical experience of data analysis which shows the technic to be functioning. Examples are shown for two- and three-space models as applied to actual subject data. Multivariate analysis allows more specificity of interpretation, eliminates the problem of the “abnormal-normal,” and provides a mathematical foundation for an advanced data processing technic which can summarize vast amounts of information in a convenient mode for clinical decision making. The process is described as a phase two element in a Laboratory Data Analysis System. In this situation, multivariate analysis serves to screen the raw data to detect any significant abnormality and flag the system for further investigation.