11,261 research outputs found
Error-free milestones in error prone measurements
A predictor variable or dose that is measured with substantial error may
possess an error-free milestone, such that it is known with negligible error
whether the value of the variable is to the left or right of the milestone.
Such a milestone provides a basis for estimating a linear relationship between
the true but unknown value of the error-free predictor and an outcome, because
the milestone creates a strong and valid instrumental variable. The inferences
are nonparametric and robust, and in the simplest cases, they are exact and
distribution free. We also consider multiple milestones for a single predictor
and milestones for several predictors whose partial slopes are estimated
simultaneously. Examples are drawn from the Wisconsin Longitudinal Study, in
which a BA degree acts as a milestone for sixteen years of education, and the
binary indicator of military service acts as a milestone for years of service.Comment: Published in at http://dx.doi.org/10.1214/08-AOAS233 the Annals of
Applied Statistics (http://www.imstat.org/aoas/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Analytical study of aerodynamic means of controlling supersonic inlet flow, part I Technical report no. 495B
Means for achieving variable geometry supersonic inlet without using mechanical device
Analytical study of aerodynamic means of controlling supersonic inlet flow, part II TECHNICAL report no. 496E
Aerodynamic means of controlling supersonic inlet flo
Cross-screening in observational studies that test many hypotheses
We discuss observational studies that test many causal hypotheses, either
hypotheses about many outcomes or many treatments. To be credible an
observational study that tests many causal hypotheses must demonstrate that its
conclusions are neither artifacts of multiple testing nor of small biases from
nonrandom treatment assignment. In a sense that needs to be defined carefully,
hidden within a sensitivity analysis for nonrandom assignment is an enormous
correction for multiple testing: in the absence of bias, it is extremely
improbable that multiple testing alone would create an association insensitive
to moderate biases. We propose a new strategy called "cross-screening",
different from but motivated by recent work of Bogomolov and Heller on
replicability. Cross-screening splits the data in half at random, uses the
first half to plan a study carried out on the second half, then uses the second
half to plan a study carried out on the first half, and reports the more
favorable conclusions of the two studies correcting using the Bonferroni
inequality for having done two studies. If the two studies happen to concur,
then they achieve Bogomolov-Heller replicability; however, importantly,
replicability is not required for strong control of the family-wise error rate,
and either study alone suffices for firm conclusions. In randomized studies
with a few hypotheses, cross-split screening is not an attractive method when
compared with conventional methods of multiplicity control, but it can become
attractive when hundreds or thousands of hypotheses are subjected to
sensitivity analyses in an observational study. We illustrate the technique by
comparing 46 biomarkers in individuals who consume large quantities of fish
versus little or no fish.Comment: 33 pages, 2 figures, 5 table
Isolation in the construction of natural experiments
A natural experiment is a type of observational study in which treatment
assignment, though not randomized by the investigator, is plausibly close to
random. A process that assigns treatments in a highly nonrandom, inequitable
manner may, in rare and brief moments, assign aspects of treatments at random
or nearly so. Isolating those moments and aspects may extract a natural
experiment from a setting in which treatment assignment is otherwise quite
biased, far from random. Isolation is a tool that focuses on those rare, brief
instances, extracting a small natural experiment from otherwise useless data.
We discuss the theory behind isolation and illustrate its use in a reanalysis
of a well-known study of the effects of fertility on workforce participation.
Whether a woman becomes pregnant at a certain moment in her life and whether
she brings that pregnancy to term may reflect her aspirations for family,
education and career, the degree of control she exerts over her fertility, and
the quality of her relationship with the father; moreover, these aspirations
and relationships are unlikely to be recorded with precision in surveys and
censuses, and they may confound studies of workforce participation. However,
given that a women is pregnant and will bring the pregnancy to term, whether
she will have twins or a single child is, to a large extent, simply luck. Given
that a woman is pregnant at a certain moment, the differential comparison of
two types of pregnancies on workforce participation, twins or a single child,
may be close to randomized, not biased by unmeasured aspirations. In this
comparison, we find in our case study that mothers of twins had more children
but only slightly reduced workforce participation, approximately 5% less time
at work for an additional child.Comment: Published in at http://dx.doi.org/10.1214/14-AOAS770 the Annals of
Applied Statistics (http://www.imstat.org/aoas/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Possible Implications of Asymmetric Fermionic Dark Matter for Neutron Stars
We consider the implications of fermionic asymmetric dark matter for a "mixed
neutron star" composed of ordinary baryons and dark fermions. We find examples,
where for a certain range of dark fermion mass -- when it is less than that of
ordinary baryons -- such systems can reach higher masses than the maximal
values allowed for ordinary ("pure") neutron stars. This is shown both within a
simplified, heuristic Newtonian analytic framework with non-interacting
particles and via a general relativistic numerical calculation, under certain
assumptions for the dark matter equation of state. Our work applies to various
dark fermion models such as mirror matter models and to other models where the
dark fermions have self interactions.Comment: 20 pages, 6 figure
Interplay of disorder and geometrical frustration in doped Gadolinium Gallium Garnet
The geometrically-frustrated, triangular antiferromagnet GGG exhibits a rich
mix of short-range order and isolated quantum states. We investigate the
effects of up to 1% Neodymium substitution for Gallium on the ac magnetic
response at temperatures below 1 K in both the linear and nonlinear regimes.
Substitutional disorder actually drives the system towards a more perfectly
frustrated state, apparently compensating for the effect of imperfect
Gadolinium/Gallium stoichiometry, while at the same time more closely
demarcating the boundaries of isolated, coherent clusters composed of hundreds
of spins. Optical measurements of the local Nd environment substantiate the
picture of an increased frustration index with doping.Comment: 5 pages, 5 figure
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