2019
DOI: 10.1093/mnras/stz1239
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Yule-Simpson’s paradox in Galactic Archaeology

Abstract: Simpson's paradox, or Yule-Simpson effect, arises when a trend appears in different subsets of data but disappears or reverses when these subsets are combined. We describe here seven cases of this phenomenon for chemo-kinematical relations believed to constrain the Milky Way disk formation and evolution. We show that interpreting trends in relations, such as the radial and vertical chemical abundance gradients, the age-metallicity relation, and the metallicity-rotational velocity relation (MVR), can lead to co… Show more

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Cited by 43 publications
(36 citation statements)
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“…As inferred from earlier figures, the proto-disc and starburstdisc components occupy a common region in rotation velocitymetallicity space at all locations in real space. Their distribution follows a positive slope, which is often discussed to be associated with the inside-out formation of the thick disc in the context of an isolated galaxy formation scenario (Schönrich & McMillan 2017;Kawata et al 2018;Minchev et al 2019). In our simulation, however, the positive relation between metallicity and rotation velocity is built up by mergers: as the proto-disc evolves and self-enriches prior to the GES merger, multiple smaller mergers impart dynamical heating such that the older, relatively metal-poor proto-disc stars are heated more relative to the younger, more metal-rich stars, thus establishing the positive trend in rotation velocity-metallicity space for this component.…”
Section: The Rotation Velocity-metallicity Planementioning
confidence: 99%
“…As inferred from earlier figures, the proto-disc and starburstdisc components occupy a common region in rotation velocitymetallicity space at all locations in real space. Their distribution follows a positive slope, which is often discussed to be associated with the inside-out formation of the thick disc in the context of an isolated galaxy formation scenario (Schönrich & McMillan 2017;Kawata et al 2018;Minchev et al 2019). In our simulation, however, the positive relation between metallicity and rotation velocity is built up by mergers: as the proto-disc evolves and self-enriches prior to the GES merger, multiple smaller mergers impart dynamical heating such that the older, relatively metal-poor proto-disc stars are heated more relative to the younger, more metal-rich stars, thus establishing the positive trend in rotation velocity-metallicity space for this component.…”
Section: The Rotation Velocity-metallicity Planementioning
confidence: 99%
“…Therefore, the global thick discs' scale heights are going to be flattened by the MAPs that dominate the surface density at each radius, which are not the ones that flare the most. This is an example of a Yule-Simpson's paradox, characterized as 'weak' by Minchev et al (2019).…”
Section: Flaring Of Maps Flaring Of Thick Discs and Bimodalitymentioning
confidence: 99%
“…Yong et al (2012) find a similar trend for [Al/Fe] of 0.03 ± 0.01 dex/kpc; for [Na/Fe], however, they find a flat trend with significant scatter. Minchev et al (2019) discuss the effect that sample selection can have on measured abundance gradients, in particular the bias introduced by most samples containing a majority of young clusters. To more accurately compare to previous work, and provide more meaningful comparisons for galactic evolution models, in this section we compare mono-age samples.…”
Section: "Odd-z" Gradientsmentioning
confidence: 99%