12.79 Triano et al. (Transactions of the ASME, 2003)

conducted uniaxial tension/compression tests on a servo-hydraulic test machine. Tests were run for four different materials at total strains of 1%, 2%, 3%, and 4%. The resulting Bauschinger modulus reduction (BMR) was recorded. The data is given in table below.

a Analyze the data, assuming there is no interaction between the total strain and material used. State the hypotheses that can be tested clearly.
b Suppose no randomization was used for these test runs. Then discuss its effect on the results.

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Material Total PH13- PH13- Strain A 723-1130 A723-1330 8-ST-1355 8-1380 1% 0.917 0.925 0.953 0.948 2% 0.863 0.874 0.852 0.876 3% 0.813 0.819 0.842 0.835 4% 0.798 0.808 0.827 0.788