An operator approach to interactive data processing. II. Some applications of scalars and vectors

A modular software system for interactive data processing is described in part I of this series. Flexibility and portability are stressed. The system works as an interpreter and new functions may be introduced instantly. A simple graphical user interface controls performance. Arbitrary data types are supported. In the current work, the system has been implemented for numerical data (scalars and one-dimensional arrays). Some commonly used parametric and non-parametric statistical procedures (such as Students t-test, linear regression, Mann-Whitney and Wilcoxon tests) illustrate the use of scalars. Arrays can indicate complex quantities, used in signal analysis. The fast Fourier transform is a basic building block. It is included into other functions such as convolution, cross-correlation and digital filter design. The benefit of such constructions is illustrated by adaptive filtering of evoked potentials.