This is the fourth volume of this report.The six volumes of this report are: Volume 1. Overview; Volume 2. Experiment Design; Volume 3. Data Extraction; Volume 4. Data Reduction; Volume 5. Data Analysis; Volume 6. Data DisplayThis volume shows how the data reduction phase is implemented by a set of FORTRAN computer programs and associated I/0 files. These programs examine extracted performance data to identify individual trials and determine their outcomes. This volume outlines the data reduction process, describes input to the process, and discusses key concepts used by data reduction procedures.