- The first three rows of the test table fall under the general category Most Extreme Differences. The differences referred to are the largest positive and negative points of divergence between the CDFs of the two sample distributions.
- The first difference value, labeled Absolute, is the absolute value of the larger of the two difference values printed directly below it. This value will be required to calculate the test statistic.
- The Positive difference is the point at which the CDF for yield 8 exceeds the CDF for yield 4 by the greatest amount. It is 0 in this case, meaning that the distribution of aflatoxin in yield 8 never exceeds that of yield 4.
- At the opposite end of the continuum, the Negative difference is the point at which the CDF for yield 4 exceeds the CDF for yield 8 by the greatest amount.
- The Z test statistic is a function of the combined sample size and the largest absolute difference between the two cumulative distribution functions.
- The probability of the Kolmogorov-Smirnov Z statistic falls well below 0.05. By that standard, the distributions of the two yields are significantly different from each other.
- On the other hand, the Z statistic and associated significance value for Centered toxin level confirm that the shape of the two distributions is not significantly different.
From this table, we can conclude that the significance of the difference between the two distributions is due only to their different locations on the scale, not to any differences in shape.