A small N design withoutbaselines used in psychophysicalresearch, where the impact of different levels of the IV is averaged across 100s to 1000s of trials
Why might a clinical psychologist use small N designs?
To test a treatment when there are insufficient subjects to conduct a large N study and when she wants to avoid theethical problem of an untreated control group
Why is statistical analysis of small N data controversial?
Critics are concerned about generalizing from a single subject to a population, and unless 50 measurements are taken during each baseline and treatment phase, important assumptions underlying inferential tests may be violated
The large number of data points produced by 100s to 1000s of trials provides a very reliable measurement of the effect of the independent variable, and the similarity of human sensory systems allows researchers to generalize from a small number of subjects
Why doesn't a large N study always have greater generality than a small N study?
If a large N study's sample is biased, we will be unable to generalize its findings to a larger population. Also, if it is poorly controlled, there will be no valid findings to generalize. In contrast, a well-controlled small N experiment using a single subject might be successfully replicated across sufficient subjects to generalize its results to the population from which they were drawn.
Why a clinical psychologist might use small N designs
To test a treatment when there are insufficient subjects to conduct a large N study and when she wants to avoid the ethical problem of an untreated control group
Where small N designs have been most extensively used
Operant conditioning research, where B. F. Skinner examined the continuous behavior of individual subjects in preference to analyzing discrete measurements from separate groups of subjects