FIG. 1 is a top, front and left side perspective view of the housing device for measuring fluorescence polarization; FIG. 2 is a front elevational view thereof; FIG. 3 is a left side elevational view thereof; FIG. 4 is a right side elevational view thereof; FIG. 5 is a rear elevational view thereof; FIG. 6 is a top plan view thereof; FIG. 7 is a bottom plan view thereof; FIG. 8 is a top, rear and right side perspective view thereof; and, FIG. 9 is a top, front and left side perspective view thereof showing the sample tray thereof in an open position for insertion of a test tube sample. The broken line showing in the figures is for illustrative purposes only and forms no part of the claimed design.