Analyze each of the following scientific reports, explaining how the pattern of the method of agreement is manifested by each. Discuss, in each case, the limitations of the method of agreement as applied to that quest for a causal connection.

Researchers at the University of California at Irvine have theorized that listening to Mozart’s piano music significantly improves performance on intelligence tests. Dr. Frances H. Rauscher and her colleagues reported:
We performed an experiment in which students were each given three sets of standard IQ spatial reasoning tasks; each task was preceded by 10 minutes of
1. Listening to Mozart’s Sonata for Two Pianos in D major, K. 488; or
2. Listening to a relaxation tape; or
3. Silence.
Performance was improved for those tasks immediately following the first condition compared to the second two.
Test scores rose an average of 8 or 9 points following the Mozart sonata. Some of the students had reported that they liked Mozart, and some that they did not, but there were no measurable differences attributable to varying tastes. “We are testing a neurobiological model of brain function with these experiments,” Dr. Rauscher said, “and we hypothesize that these patterns may be common in certain activities—chess, mathematics, and certain kinds of music. . . . Listening to such music may stimulate neural pathways important to cognition.”
—Frances H. Rauscher, Gordon L. Shaw, Katherine N. Ky,
“Music and Spatial Task Performance,” Nature, 14 October 1993