The dominance analysis approach for comparing predictors in multiple regression.

Azen, Razia; Budescu, David V.

doi:10.1037/1082-989x.8.2.129

Cited by 822 publications

(936 citation statements)

References 49 publications

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“…If explanatory variables are correlated, this does not hold anymore. For this case, Azen and Budescu (2003) propose to estimate the additional contribution of an explanatory variable by estimating the average R 2 increase of adding the variable to all regression models that contain a subset of the other explaining variables. For n explanatory variables one obtains 2 n − 1 semipartial correlation estimates for each variable, which are averaged.…”

Section: Methods and Datamentioning

confidence: 99%

“…For n explanatory variables one obtains 2 n − 1 semipartial correlation estimates for each variable, which are averaged. Azen and Budescu (2003) propose a special averaging method that conserves additivity, so that the sum of all squared semipartial correlations adds up to R 2 . Moreover, the variation of the squared semipartial correlations constitutes a proxy for the collinearities between the explanatory variables and can serve as a form of uncertainty estimation.…”

Section: Methods and Datamentioning

confidence: 99%

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Global Contributions of Incoming Radiation and Land Surface Conditions to Maximum Near‐Surface Air Temperature Variability and Trend

Schwingshackl

Hirschi

Seneviratne

2018

Geophysical Research Letters

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The evolution of near‐surface air temperature is influenced by various dynamical, radiative, and surface‐atmosphere exchange processes whose contributions are still not completely quantified. Applying stepwise multiple linear regression to Coupled Model Intercomparison Project phase 5 (CMIP5) model simulations and focusing on radiation (diagnosed by incoming shortwave and incoming longwave radiation) and land surface conditions (diagnosed by soil moisture and albedo) about 79% of the interannual variability and 99% of the multidecadal trend of monthly mean daily maximum temperature over land can be explained. The linear model captures well the temperature variability in middle‐to‐high latitudes and in regions close to the equator, whereas its explanatory potential is limited in deserts. While radiation is an essential explanatory variable over almost all of the analyzed domain, land surface conditions show a pronounced relation to temperature in some confined regions. These findings highlight that considering local‐to‐regional processes is crucial for correctly assessing interannual temperature variability and future temperature trends.

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Section: Methods and Datamentioning

confidence: 99%

Section: Methods and Datamentioning

confidence: 99%

Global Contributions of Incoming Radiation and Land Surface Conditions to Maximum Near‐Surface Air Temperature Variability and Trend

Schwingshackl

Hirschi

Seneviratne

2018

Geophysical Research Letters

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“…For example, if there are three predictors (A, B, and C), then predictor C can be added to four possible subset models (i.e., containing only the intercept term, intercept and predictor A, intercept and predictor B, and intercept and predictors A and B, respectively). A predictor's general dominance weight (GDW; Azen & Budescu, 2003) is found by averaging the squared semipartial correlations across all of the possible subset models. This measure indexes a variable's contribution to the prediction of the dependent variable, by itself and in combination with the other predictors.…”

Section: Visual-only Conditionmentioning

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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“…In particular, they recommend the use of dominance weights (e.g. see Azen & Budescu, 2003). These weights are designed to compare the relative importance of predictors in a multiple regression model and are based on the average increase in the criterion variance that is explained when a given predictor is added to models containing subsets of the other predictors.…”

Section: Influence Of Advicementioning

confidence: 99%

The relative influence of advice from human experts and statistical methods on forecast adjustments

Önkal

Goodwin

Thomson

et al. 2009

Behavioral Decision Making

234

123

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Decision makers and forecasters often receive advice from different sources including human experts and statistical methods. This research examines, in the context of stock price forecasting, how the apparent source of the advice affects the attention that is paid to it when the mode of delivery of the advice is identical for both sources. In Study 1, two groups of participants were given the same advised point and interval forecasts. One group was told that these were the advice of a human expert and the other that they were generated by a statistical forecasting method. The participants were then asked to adjust forecasts they had previously made in light of this advice. While in both cases the advice led to improved point forecast accuracy and better calibration of the prediction intervals, the advice which apparently emanated from a statistical method was discounted much more severely. In Study 2, participants were provided with advice from two sources. When the participants were told that both sources were either human experts or both were statistical methods, the apparent statistical-based advice had the same influence on the adjusted estimates as the advice that appeared to come from a human expert. However when the apparent sources of advice were different, much greater attention was paid to the advice that apparently came from a human expert. Theories of advice utilization are used to identify why the advice of a human expert is likely to be preferred to advice from a statistical method.

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The dominance analysis approach for comparing predictors in multiple regression.

Cited by 822 publications

References 49 publications

Global Contributions of Incoming Radiation and Land Surface Conditions to Maximum Near‐Surface Air Temperature Variability and Trend

Global Contributions of Incoming Radiation and Land Surface Conditions to Maximum Near‐Surface Air Temperature Variability and Trend

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

The relative influence of advice from human experts and statistical methods on forecast adjustments

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