Refer to the Microcomputers in Civil Engineering study of lateral drift in a building, Exercise 14.76. The data shown in the table are the lateral displacements (in inches) estimated by three different computer programs at each of five different building levels. Compare the distributions of lateral displacement estimated by the three computer programs with the appropriate nonparametric test. Use α = .05.

Data from Exercise 14.76

A commonly used index to estimate the reliability of a building subjected to lateral loads is the drift ratio. Sophisticated computer programs such as STAAD-III have been developed to estimate the drift ratio based on variables such as beam stiffness, column stiffness, story height, moment of inertia, and so on. Civil engineers at the State University of New York at Buffalo and the University of Central Florida performed an experiment to compare drift ratio estimates using STAAD-III with the estimates produced by a new, simpler microcomputer program called DRIFT (Microcomputers in Civil Engineering, 1993). Data for a 21-story building were used as input to the programs. Two runs were made with STAADIII: Run 1 considered axial deformation of the building columns, and run 2 neglected this information. The goal of the analysis is to compare the mean drift ratios (where drift is measured as lateral displacement) estimated by the three computer runs (the two STAAD-III runs and DRIFT). The lateral displacements (in inches) estimated by the three programs are recorded in the next table for each of five building levels (1, 5, 10, 15, and 21). A MINITAB printout of the analysis of variance for the data.

Transcribed Image Text:

STAAD Level STAAD-II (1) STAAD-III (2) Drift 1 .17 .16 .16 2 1.35 1.26 1.27 3 3.04 2.76 2.77 4.54 3.98 3.99 5.94 4.99 5.00 4.