2023
DOI: 10.1037/met0000411
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Evaluating multinomial order restrictions with bridge sampling.

Abstract: Hypotheses concerning the distribution of multinomial proportions typically entail exact equality constraints that can be evaluated using standard tests.Whenever researchers formulate inequality constrained hypotheses, however, they must rely on sampling-based methods that are relatively inefficient and computationally expensive. To address this problem we developed a bridge sampling routine that allows an efficient evaluation of multinomial inequality constraints. An empirical application showcases that bridg… Show more

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Cited by 8 publications
(6 citation statements)
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References 77 publications
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“…x 9 : (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0) ′ x 10 : (1,2,3,4,5,6,7,8,9,9,8,7,6,5,4,3,5,6) ′ x 11 : (1,2,3,4,5,6,7,8,9,9,8,7,6,5,4,4,4, 3) ′ x 12 : (1,2,3,4,5,6,7,8,9,9,8,7,6,5,4,3,6,7) ′ x 13 : (1,2,3,4,5,6,…”
Section: A2 Models With a Higher Number Of Categories 8a21 Methodsmentioning
confidence: 99%
See 2 more Smart Citations
“…x 9 : (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0) ′ x 10 : (1,2,3,4,5,6,7,8,9,9,8,7,6,5,4,3,5,6) ′ x 11 : (1,2,3,4,5,6,7,8,9,9,8,7,6,5,4,4,4, 3) ′ x 12 : (1,2,3,4,5,6,7,8,9,9,8,7,6,5,4,3,6,7) ′ x 13 : (1,2,3,4,5,6,…”
Section: A2 Models With a Higher Number Of Categories 8a21 Methodsmentioning
confidence: 99%
“…Note that all but four teams used the same dependent variable for research question 1 and 2. 8 In the online appendix, we show the included items separately for each team.…”
Section: Variable Inclusionmentioning
confidence: 99%
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“…However, these results would also be consistent with the hypothesis that there is no real difference in terms of risky-choice probabilities beyond being above/below 50% (e.g., André & de Langhe, 2021b). One way to evaluate this hypothesis while sidestepping the challenges associated with order-constrained inference (e.g., Davis-Stober, 2009; Heck & Davis-Stober, 2019; Sarafoglou et al, 2021) is to sample choice probabilities from the posterior distributions and check the proportions that conform to a weaker version of the aforementioned inequalities that omit the 1/2 terms (in red) 12 . The ratio of these proportions is expected to be 1 if choice probabilities are roughly the same across the board (i.e., mirrored opposite patterns are equally likely to be sampled).…”
Section: A Focused Analysis Of Shared Lottery Problemsmentioning
confidence: 99%
“…(e.g., André & de Langhe, 2021b). One way to evaluate this hypothesis while sidestepping the challenges associated with order-constrained inference (e.g., Davis-Stober, 2009;Heck & Davis-Stober, 2019;Sarafoglou et al, 2021) is to sample choice probabilities from the posterior distributions and check the proportions that conform to a weaker version of the aforementioned inequalities that omit the 1 2 terms (in red). 9 The ratio of these proportions is expected to be 1 if choice probabilities are roughly the same across the board (i.e., mirrored opposite patterns are equally likely to be sampled).…”
Section: Tablementioning
confidence: 99%