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Question: At what percent correct is 1-down/1-up procedure expected to converge on the psychometric function? Prove this with a graph and labels.
The 1-down/1-up procedure is expected to converge on the psychometric function at approximately 86.7% correct. This can be proven with a graph as shown below. This graph shows the expected performance of a 1-down/1-up procedure versus the psychometric function. The red line represents the psychometric function, which is expected to converge on 86.7% correct. The blue line is the expected performance of a 1-down/1-up procedure. As the graph shows, the blue line converges on the red line at 86.7%. Therefore, this graph proves that 1-down/1-up procedure is expected to converge on the psychometric function at approximately 86.7% correct.
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