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
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%
“…Assuming that every parameter value is equally likely before we see any data, we assign a uniform prior distribution across the parameter vector θ, such that, p(θ | H e ) ∼ Dirichlet(α) with all concentration parameters set to 1. Using the observed frequencies from Haberman (1978), that is, x = (15,11,14,17,5,11,10,4,8,10,7,9,11,3,6,1,1,4) ′ , the Bayes factor comparing the null and encompassing hypotheses is:…”
Section: Bayes Factor Hypothesis Testing Without Inequality Constraintsmentioning
In this dissertation, I examine research practices and reform ideas aiming to combat the crisis of confidence in psychology (Pashler & Wagenmakers, 2012). I do so through theoretical contributions and empirical work, propose practical guidelines for researchers, and demonstrate how principles of good research can be conveyed to students. The research methods and statistical practices I present facilitate the adherence to the following three principles: (1) respect the empirical cycle; (2) acknowledge uncertainty; and (3) enrich statistical models with theoretical knowledge.
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%
“…Assuming that every parameter value is equally likely before we see any data, we assign a uniform prior distribution across the parameter vector θ, such that, p(θ | H e ) ∼ Dirichlet(α) with all concentration parameters set to 1. Using the observed frequencies from Haberman (1978), that is, x = (15,11,14,17,5,11,10,4,8,10,7,9,11,3,6,1,1,4) ′ , the Bayes factor comparing the null and encompassing hypotheses is:…”
Section: Bayes Factor Hypothesis Testing Without Inequality Constraintsmentioning
In this dissertation, I examine research practices and reform ideas aiming to combat the crisis of confidence in psychology (Pashler & Wagenmakers, 2012). I do so through theoretical contributions and empirical work, propose practical guidelines for researchers, and demonstrate how principles of good research can be conveyed to students. The research methods and statistical practices I present facilitate the adherence to the following three principles: (1) respect the empirical cycle; (2) acknowledge uncertainty; and (3) enrich statistical models with theoretical knowledge.
“…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
Individuals' decisions under risk tend to be in line with the notion that "losses loom larger than gains." This loss aversion in decision making is commonly understood as a stable individual preference that is manifested across different contexts. The presumed stability and generality, which underlies the prominence of loss aversion in the literature at large, has been recently questioned by studies reporting how loss aversion can disappear, and even reverse, as a function of the choice context. The present study investigated whether loss aversion reflects a trait-like attitude of avoiding losses or rather individuals' adaptability to different contexts. We report three experiments investigating the within-subject context sensitivity of loss aversion in a two-alternative forced-choice task. Our results show that the choice context can shift people's loss aversion, though somewhat inconsistently. Moreover, individual estimates of loss aversion are shown to have a considerable degree of stability. Altogether, these results indicate that even though the absolute value of loss aversion can be affected by external factors such as the choice context, estimates of people's loss aversion still capture the relative dispositions toward gains and losses across individuals.
Public Significance StatementLoss aversion is a core feature of prospect theory, and is widely relied upon by researchers and practitioners when characterizing the causes behind real-world phenomena; for example, why people generally dislike stocks despite them having higher returns than risk-free bonds. The present work shows systematic changes in loss aversion across contexts, alongside stable individual differences. These results legitimize the comparison of people's loss aversion relative to one another, while undermining the comparability of estimates to different contexts.
“…(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).…”
Individuals’ decisions under risk tend to be in line with the notion that “losses loom larger than gains”. This loss aversion in decision making is commonly understood as a stable individual preference that is manifested across different contexts. The presumed stability and generality, which underlies the prominence of loss aversion in the literature at large, has been recently questioned by studies showing how loss aversion can disappear, and even reverse, as a function of the choice context. The present study investigated whether loss aversion reflects a trait-like attitude of avoiding losses or rather individuals’ adaptability to different contexts. We report three experiments that investigated the within-subject context sensitivity of loss aversion in a two-alternative forced-choice task. The results show beside interindiviudal differences in loss aversion, that the context affects the extent of loss aversion. This indicates that even though the absolute value of loss aversion can be affected by external factors such as the choice context, estimates of people’s loss aversion still capture the relative dispositions towards gains and losses across individuals.
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