A function, written in R, for testing whether the distribution of responses in one condition can be considered a combination of the distributions from two other conditions is described. The important aspect of this function is that it does not make any assumptions about the shape of the distributions. It is based on the KolmogorovSmirnov D statistic. The function also allows the user to test more specific and, hence, more statistically powerful hypotheses. One hypothesis, that the mixture does not capture the middle third of the distribution, is included as a built-in option, and code is provided so that other alternatives can easily be run. A power analysis reveals that the function is most likely to detect a difference between the combined conditions' distribution and the other distribution when the center of the other distribution is near the midpoint of the two original distributions. Critical p values are estimated for each set of distributions, using bootstrap methods. An example from human memory research, exploring the blending hypothesis of the misinformation effect, is used for illustrative purposes. With stimuli like those in Figure 1, it is difficult to test for the blend explanation, because it is unclear what the blend of a stop sign and a yield sign should be. Because of this, some researchers (e.g., Belli, 1988; Loftus, 1977) have used original and postevent information that vary along a scale, so that it is easier to conceive of a blend of them. In our own research (Skagerberg & Wright, in press), we have used colors (where participants choose from a color chart), the height and build of a person, and count variables. In the example we use for illustration, we showed people several videos, including one of a train station. We consider three groups: (1) a control group who saw 18 people at the station, (2) a control group who saw 6 people at the station, and (3) an experimental group who saw 18 people at the station but then received postevent information from somebody who saw only 6 people.
Problem. Let Dist 1 andWhen the participants were given a memory test, the means for these three groups were 16.71, 6.10, and 12.08 people, respectively. So, the means for the two control groups were near their true values, and t tests showed that the experimental group was significantly different from each of these. However, both explanations shown in Fig-D