Figure XXa shows the actual data and their average results from improvement in each condition. Consistent with goals and inventions, speed of improvements also increased with increase in group size similar to a gentle upward convex function. When speed of group size-1 was increased to compare with other other group size, the two lines seemed to overlap with one another. This indicated that the speed of improvements increased linearly with increase in group size. Just as in invention, we fitted the data with OLS. The results indicated that improvement was roughly proportional to the square root times the group size, but there was a pattern in which the estimated value of the index increased as the group size increased. This suggested that as the group size increased, the rate of increase of the slope became steeper. The results from OLS also suggested that the properties of invention and improvement differed.
Figure XX shows the results from junk. The accumulation of junk increased as the group size increased (figure XXa). When the speed of group size-1 was increased, the results overlapped with the increased data set.