An example of a complex contrast would be comparing 5 standard treatments to a new treatment, hence giving each old treatment mean a weight of 1/5, and the new sixth treatment mean a weight of −1 (using the equation above). If this new linear combination has a mean zero, this will mean that there is no evidence that the old treatments are different from the new treatment on average. If the sum of the new linear combination is positive, there is some evidence (the strength of the evidence is often associated with the p-value computed on that linear combination) that the combined mean of the 5 standard treatments is higher than the new treatment mean. Analogous conclusions obtain when the linear combination is negative. However, the sum of the linear combination is not a significance test, see testing significance (below) to learn how to determine if the contrast computed from the sample is significant.