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Within-Subjects Design

A within-subjects design refers to a study design where two or more measures are obtained from a sample of subjects. This type of design is also referred to as a repeated measures design. Three common circumstances lead to within-subjects designs. First, each subject is observed repeatedly in different conditions and the same measure is used as the outcome variable across the conditions. A main goal is to compare mean differences of the outcome variable across the conditions. Second, several related outcomes are measured collectively from each subject, such as an instrument with sub-scales, or related behavioral measures. Profile analysis is often conducted to evaluate the mean profile of subjects’ scores across measures. Third, subjects’ behaviors are measured at multiple occasions over time to study phenomena related to learning or developmental processes. Trend analysis is often used to examine linear, quadratic, and other forms of change in such studies. Sometimes the term repeated measures design is used for referring specifically to this latter application. More generally, within-subjects designs and repeated measures designs are used interchangeably, and these designs include but are not limited to longitudinal studies.

In contrast to within-subjects designs, when only one measure is obtained for each subject or unit, but the subjects are distinguished by some factors, the design is referred to as a between-sub-jects design. In examining the effects of a studied factor, a between-subjects factor compares different groups of subjects (e.g., treatment vs. comparison groups), whereas a within-subject factor compares different measurements within the same group of subjects (e.g., pretreatment vs. posttreatment measures). When a design consists of both between-subjects and within-subjects factors, the design is referred to as a mixed design or split-plot design. A split-plot design can encompass the advantages of both between-subjects and within-subjects factors and thus is commonly used in the social and behavioral sciences.

Advantages and Disadvantages

In experimental settings, subjects often differ substantially from one another for reasons unrelated to the studied factor(s). In between-subjects designs, differences among subjects are uncontrolled and are treated as random error. By contrast, in within-sub-jects designs, individual differences can be separated from the error term, as the same subjects are observed under multiple conditions, and thus, each subject can serve as his or her own control. Consequently, a major advantage of within-subjects designs is their ability to control for individual differences or heterogeneity among subjects. Moreover, one can obtain substantially greater information by collecting multiple scores from each subject. A practical implication of both the removal of individual differences from the error term and the collection of a larger number of observations from the same subjects is that statistical power can be increased to detect treatment effects in within-subjects designs.

Along with these important advantages, within-subjects designs also bring complexities and challenges to data analysis. In some experiments, treatment conditions are administered simultaneously in such a way that their order is not relevant. More commonly, however, treatments are administered one after the other and thus the order of treatments is a matter for concern because subjects might systematically change depending on the order. Order effects or practice effects exist if treatments administered earlier to a subject continue to have an effect that carries over to influence the subject's behavior during subsequent treatment conditions. For example, there might exist a general improvement on related tests (e.g., learning effect) or a decrease in performance (e.g., fatigue effect). A strategy commonly implemented to prevent order effects from contaminating the treatment effects is counterbalancing, which is a technique of ordering sequences of conditions so that each treatment is administered first, second, third, and so on, an equal number of times across subjects. This type of design is known as a crossover or counterbalanced design. The logic behind the crossover design is that any main effect of order will be controlled for and, as a result, the crossover within-subjects design possesses stronger internal validity than a design without counterbalancing.

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