Distribution-free tests for main effects and interactions in multivariate repeated measures designs

2000 ◽  
Vol 12 (6) ◽  
pp. 807-817
Author(s):  
Ronald H. Randles ◽  
Peter W. Gieser
1972 ◽  
Vol 34 (2) ◽  
pp. 379-382 ◽  
Author(s):  
William Fullard ◽  
Glenn E. Snelbecker ◽  
Stephen Wolk

8 female Ss made absolute judgments of pure tones ac 4 levels of stimulus uncertainty, with 300 trials/level on each of 2 testing days. Sequence effects were balanced by a 4 × 4 Latin square design. Main effects in an analysis of variance showed significantly more correct responses in expected directions for stimulus uncertainty and higher scores on second testing day. Somewhat surprisingly, nonsignificant uncertainty-by-test-day interactions indicated homogeneous increases across uncertainty levels. Discussion focused on assumptions from information theory about asymptotic performance and on potential methodological value of Latin square repeated-measures designs for calculating T at different uncertainty levels.


Author(s):  
SCOTT CLIFFORD ◽  
GEOFFREY SHEAGLEY ◽  
SPENCER PISTON

The use of survey experiments has surged in political science. The most common design is the between-subjects design in which the outcome is only measured posttreatment. This design relies heavily on recruiting a large number of subjects to precisely estimate treatment effects. Alternative designs that involve repeated measurements of the dependent variable promise greater precision, but they are rarely used out of fears that these designs will yield different results than a standard design (e.g., due to consistency pressures). Across six studies, we assess this conventional wisdom by testing experimental designs against each other. Contrary to common fears, repeated measures designs tend to yield the same results as more common designs while substantially increasing precision. These designs also offer new insights into treatment effect size and heterogeneity. We conclude by encouraging researchers to adopt repeated measures designs and providing guidelines for when and how to use them.


2018 ◽  
Vol 3 (3) ◽  
pp. 2473011418S0005
Author(s):  
Erin Futrell ◽  
Irene Davis

Category: Sports Introduction/Purpose: Vertical impact forces are highly influenced by the way the foot contacts the ground. These impact forces are associated with high loading rates which have been related to running injuries. As a result, clinicians have begun to use gait retraining interventions to reduce loadrates and prevent future impact-related injuries. Two types of gait retraining techniques have been promoted to reduce excessive running impacts. The first involves increasing cadence (CAD), or number of steps per minute, by 5-10%, thereby reducing stride length. The second type of gait retraining involves landing on the ball of the foot at ground contact, or using a forefoot strike (FFS). Both of these gait-retraining styles have been reported to reduce impacts, but they have not been compared with each other. Methods: 33 healthy runners (9M, 24F), running 5-15 mpw, with a rearfoot strike pattern with cadence < 170 steps/min were recruited. Subjects were randomly allocated to either FFS or CAD retraining. All subjects underwent an 8-session gait retraining program (over 2-3 wks) with auditory feedback on a treadmill. The CAD group ran to a digital metronome to increase cadence by 7.5%. The FFS group wore a wireless accelerometer that provided an auditory signal on footstrike pattern. A gait analysis was conducted at baseline, 1 wk, 1 month, and 6 months. Variables included vertical average and instantaneous load rates (VALR, VILR). A 2 x 4 repeated measures ANOVA was used to compare differences within and between the CAD and FFS groups at baseline, 1 week, 1 month and 6 months post retraining. For variables with significant interactions, simple main effects of group, as well as time were further explored using one-way ANOVA Results: There were significant interaction effects of time*group for VALR (p= 0.001), VILR (p=0.001) and foot angle (p< 0.001), but not cadence. For the simple main effects for the CAD group, VALR reduced by 14%, 7% and 16% at 1 week, 1 month, and 6 months post gait retraining respectively, compared with baseline (Figure 1). However, these reductions were not significant. For the FFS group, VALR was significantly reduced by 50%, 51% and 51% at 1 week, 1 month, and 6 months post gait retraining respectively. Interestingly, both the CAD and FFS groups increased cadence by similar amounts. Conclusion: Transitioning to a FFS pattern is significantly more effective than increasing CAD when reducing vertical loadrate (both VALR and VILR) is the goal. These changes persisted out to 6 months post gait retraining, suggesting permanence of the new pattern.


1991 ◽  
Vol 16 (4) ◽  
pp. 371-372 ◽  
Author(s):  
Bruno Lecoutre

The routine ε̃ approximate test procedure in repeated measures designs when the condition of circularity is not fulfilled uses an erroneous formula in the case of two or more groups. This may lead to a substantial underestimation of the deviation from circularity when the total number of subjects is small.


Sign in / Sign up

Export Citation Format

Share Document