A Correction for the ε̃ Approximate Test in Repeated Measures Designs With Two or More Independent Groups

Lecoutre, Bruno

doi:10.3102/10769986016004371

Cited by 58 publications

(63 citation statements)

References 2 publications

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“…Age Group (younger and older) was a between-subjects factor. The degrees of freedom were Huynh-Feldt corrected to account for violations of sphericity (Huynh & Feldt, 1976;Lecoutre, 1991), and the correction factorε is reported.…”

Section: Resultsmentioning

confidence: 99%

Estimating the relative weights of visual and auditory tau versus heuristic-based cues for time-to-contact judgments in realistic, familiar scenes by older and younger adults

Keshavarz

Campos

DeLucia

et al. 2017

Atten Percept Psychophys

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Estimating time to contact (TTC) involves multiple sensory systems, including vision and audition. Previous findings suggested that the ratio of an object's instantaneous optical size/sound intensity to its instantaneous rate of change in optical size/sound intensity (τ) drives TTC judgments. Other evidence has shown that heuristic-based cues are used, including final optical size or final sound pressure level. Most previous studies have used decontextualized and unfamiliar stimuli (e.g., geometric shapes on a blank background). Here we evaluated TTC estimates by using a traffic scene with an approaching vehicle to evaluate the weights of visual and auditory TTC cues under more realistic conditions. Younger (18-39 years) and older (65+ years) participants made TTC estimates in three sensory conditions: visual-only, auditory-only, and audio-visual. Stimuli were presented within an immersive virtual-reality environment, and cue weights were calculated for both visual cues (e.g., visual τ, final optical size) and auditory cues (e.g., auditory τ, final sound pressure level). The results demonstrated the use of visual τ as well as heuristic cues in the visual-only condition. TTC estimates in the auditory-only condition, however, were primarily based on an auditory heuristic cue (final sound pressure level), rather than on auditory τ. In the audio-visual condition, the visual cues dominated overall, with the highest weight being assigned to visual τ by younger adults, and a more equal weighting of visual τ and heuristic cues in older adults. Overall, better characterizing the effects of combined sensory inputs, stimulus characteristics, and age on the cues used to estimate TTC will provide important insights into how these factors may affect everyday behavior.

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Section: Resultsmentioning

confidence: 99%

Estimating the relative weights of visual and auditory tau versus heuristic-based cues for time-to-contact judgments in realistic, familiar scenes by older and younger adults

Keshavarz

Campos

DeLucia

et al. 2017

Atten Percept Psychophys

View full text Add to dashboard Cite

show abstract

“…Assuming that all JK cells have identically shaped distributions with a common variance (i.e., IID[0, σ ε 2 ] for all j and k), then rejection of the null hypothesis (16) must be due to shifts in the location parameters (Lehmann, 1998). To illustrate the shift model for the univariate approach to the split-plot design, define the null hypothesis in (16) as:…”

Section: Assumptions and Hypotheses For Interaction Tests Performed Omentioning

confidence: 99%

“…If the pooled covariance matrix is non-spherical, the F-ratio is valid if the degrees-of-freedom (dfs) are corrected by a factor epsilon (see Huynh & Feldt, 1970). Methods for estimating epsilon have been investigated for over four decades (e.g., Box, 1954;Greenhouse & Geisser, 1959;Huynh & Feldt, 1970, 1976Lecoutre, 1991). Also, general approximate methods to correct the dfs have been developed (Huynh, 1978).…”

Section: The Interaction Is Tested With An F-ratio F (Y) That Is Dmentioning

confidence: 99%

“…Regardless of whether (a) the univariate ANOVA test with possible df-corrections (e.g., Huynh, 1978;Huynh & Feldt, 1976;Lecoutre, 1991), or (b) the multivariate approach to analyzing repeated measures design is employed, there are normality assumptions for parametric models. Unfortunately, the normality assumption is violated frequently in a variety of research fields including genetics (e.g., Allison et al, 1999) and behavioral research (e.g., Bradley, 1968;Cliff, 1996;Micceri, 1989;Zumbo & Coulombe, 1997).…”

Section: Rank-based Testsmentioning

confidence: 99%

See 1 more Smart Citation

Aligned Rank Tests for Interactions in Split-Plot Designs: Distributional Assumptions and Stochastic Heterogeneity

Beasley

Zumbo

2009

J. Mod. App. Stat. Meth.

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Three aligned rank methods for transforming data from multiple group repeated measures (split-plot) designs are reviewed. Univariate and multivariate statistics for testing the interaction in split-plot designs are elaborated. Computational examples are presented to provide a context for performing these ranking procedures and statistical tests. SAS/IML and SPSS syntax code to perform the procedures is included in the Appendix.

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“…Huynh and Feldt (1976) developed an ε-adjusted test for split-plot models. Lecoutre (1991) corrected this formula so that in split-plot designs ˆ ε is replaced with ˜ ε :…”

Section: ε-Adjusted F-testmentioning

confidence: 99%

Aligned Rank Tests As Robust Alternatives For Testing Interactions In Multiple Group Repeated Measures Designs With Heterogeneous Covariances

Lei¹,

Holt²,

Beasley³

2004

J. Mod. App. Stat. Meth.

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A Correction for the ε̃ Approximate Test in Repeated Measures Designs With Two or More Independent Groups

Cited by 58 publications

References 2 publications

Estimating the relative weights of visual and auditory tau versus heuristic-based cues for time-to-contact judgments in realistic, familiar scenes by older and younger adults

Estimating the relative weights of visual and auditory tau versus heuristic-based cues for time-to-contact judgments in realistic, familiar scenes by older and younger adults

Aligned Rank Tests for Interactions in Split-Plot Designs: Distributional Assumptions and Stochastic Heterogeneity

Aligned Rank Tests As Robust Alternatives For Testing Interactions In Multiple Group Repeated Measures Designs With Heterogeneous Covariances

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