scholarly journals Formal statistical analysis of the data in disparate impact cases provides sounder inferences than the U. S. government's 'four-fifths' rule: an examination of the statistical evidence in Ricci v. DeStefano

2009 ◽  
Vol 8 (2) ◽  
pp. 171-191 ◽  
Author(s):  
J. L. Gastwirth ◽  
W. Miao
Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 541
Author(s):  
Giovanni Amelino-Camelia ◽  
Giacomo D’Amico ◽  
Fabrizio Fiore ◽  
Simonetta Puccetti ◽  
Michele Ronco

Some recent studies exposed preliminary but rather intriguing statistical evidence of in vacuo dispersion-like spectral lags for gamma-ray bursts (GRBs), a linear correlation between time of observation and energy of GRB particles, which is expected in some models of quantum geometry. Those results focused on testing in vacuo dispersion for the most energetic GRB particles, and in particular only included photons with energy at emission greater than 40 GeV. We here extend the window of the statistical analysis down to 5 GeV and find results that are consistent with what had been previously noticed at higher energies.


2020 ◽  
Author(s):  
Ian Lundberg ◽  
Rebecca Johnson ◽  
Brandon Stewart

We make only one point in this article. Every quantitative study must be able to answer the question: what is your estimand? The estimand is the target quantity—the purpose of the statistical analysis. Much attention is already placed on how to do estimation; a similar degree of care should be given to defining the thing we are estimating. We advocate that authors state the central quantity of each analysis—the theoretical estimand—in precise terms that exist outside of any statistical model. In our framework, researchers do three things: (1) set a theoretical estimand, clearly connecting this quantity to theory, (2) link to an empirical estimand, which is informative about the theoretical estimand under some identification assumptions, and (3) learn from data. Adding precise estimands to research practice expands the space of theoretical questions, unlocks new tools with which to answer them, and heightens clarity about the link between theory and evidence.


2013 ◽  
Vol 21 (02) ◽  
pp. 1350014
Author(s):  
YI CAI ◽  
DEJIAN LAI ◽  
DOROTHY KIM WALLER ◽  
XIANGLIN DU ◽  
KEITH BURAU ◽  
...  

The frequency of births by day of the week has been reported by several studies without a formal statistical analysis. Births occurring on weekends have been consistently found to be less frequent than births on weekdays. In this study, we compared different statistical methods to assess the effect of the day of the week on the timing of births. We employed two statistical methods, two-way ANOVA and two-way Friedman's test, to analyze the daily variations of 222,735 births from 2005 to 2007 in Harris County, Texas. Both of the statistical tests indicated that births were not uniformly distributed by day of the week. Pairwise comparisons demonstrated that the births occurring on weekends were significantly less frequent than births occurring on weekdays. Our study together with other empirical studies would provide useful information for improving hospital management and the health of infants and their mothers.


Author(s):  
Veljanovski Cento

This chapter examines some of the legal and evidential issues surrounding statistical evidence. Courts are wary of statistical analysis and treat it as complex and difficult to reconcile with legal methods of determining damages based on documentary evidence. Indeed, the problem of estimated averages can conflict with the court’s approach. Moreover, there are statistical, economic, and legal issues surrounding statistical significance. The general concern is that reliance on conventional statistical significance levels may not reflect the legal standard of proof. The court can be assisted by the Practical Guide and Pass-on Guidelines of the European Commission, but also the best practice guidance of competition authorities for the submission of economic evidence.


1969 ◽  
Vol 130 (3) ◽  
pp. 467-480 ◽  
Author(s):  
G. M. Shearer ◽  
G. Cudkowicz ◽  
R. L. Priore

Thymocytes and marrow cells of unprimed donor mice were mixed in vitro and transplanted into X-irradiated syngeneic mice. 18 hr later, sheep erythrocytes were injected to induce immune responses. Splenic plaque-forming cells (PFC) secreting IgM (direct PFC) or IgG (indirect PFC) hemolytic antibody were enumerated at the time of peak responses. By transplanting graded and limiting numbers of thymocytes with 4 x 107 marrow cells, inocula were found which contained one or a few thymic antigen-reactive cells (ARC) reaching the recipient spleens, interacting with marrow cells, and inducing PFC formation. The frequency values of ARC inferred from direct and indirect plaque assays were very similar, 1 in ∼107 thymocytes. Furthermore, statistical analysis indicated that the formation of direct PFC was not independent of the formation of indirect PFC. This was interpreted to mean that ARC were not specialized themselves and did not determine the molecular class of antibody to be secreted after interaction with marrow cells. Spleens of thymus-marrow grafted mice containing one or two ARC and non-limiting numbers of marrow precursors of PFC (P-PFC), had direct and indirect PFC clustered in several focal areas. Assuming that each focal area represented the progeny of one P-PFC that had interacted with ARC, these results confirmed the statistical evidence for lack of class differentiation in thymic ARC, and also indicated that each ARC or its progeny cells interacted with more than one P-PFC of either class.


Blood ◽  
2012 ◽  
Vol 120 (21) ◽  
pp. 2239-2239
Author(s):  
Valerie Arias ◽  
Ehsan Shabbir ◽  
Daniel Victorio ◽  
Emily Sperling ◽  
Naznin Haq ◽  
...  

Abstract Abstract 2239 Introduction: Socioeconomic, environmental, lifestyle and genetic factors play a role in the etiology of ITP but are poorly understood. A self-reported questionnaire was designed to study these relationships and how these factors prior to the diagnosis of ITP relate to treatment response and disease progression in order to gain insight into the etiology of ITP. Methods: To design the questionnaire that would address topics of interest: 1) 60 ITP patient interviews were performed and 2) the questionnaire was reviewed by project coordinators, nurse practitioners, Platelet Disorder Support Association (PDSA) members, and hematologists. The input was incorporated into a further-revised questionnaire, which was then administered to both “pediatric” (patients <18 years of age at the time of diagnosis) and adult ITP patients from the Platelet Disorders Center at Weill Cornell - New York Presbyterian Hospital. Formal statistical analysis to relate responses to one question to responses of another to define sub-groups of patients is ongoing. Results: 109 patients were enrolled. Ages ranged from 2–78 years of age; median age was 55 years, with 21 females and 33 “pediatric” patients. The most frequent environmental exposures in adults were automotive exhaust (n=14) and Teflon (n=12). In pediatrics, preservatives and insecticides (n=8) and Teflon (n=7) were most common. The most prevalent hazardous substances in both groups were cleaning supplies (n=16 adults, n=9 “pediatric”) and chlorinated water (n=13 adult, n=9 “pediatric”). 13 adults also had exposure to gasoline or diesel fumes. Refer to figure 1. 51(47%) patients reported at least one infection prior to diagnosis with ITP. The most common were Strep throat (n=12); influenza (n=9), and respiratory tract infections (n=8). Twenty-four (22%) patients reported at least one autoimmune disease, including celiac (n=2) and discoid lupus (n=2).Twenty-one patients reported a family history of Type II diabetes, 12 Type I diabetes, 13 osteoarthritis and 10 rheumatoid arthritis. Eight (7%) patients reported at least one inflammatory disease including: Crohn's disease (n=3), Inflammatory bowel disease (n=7), Systemic lupus erythematous and Vitiligo(each n=1). Thirty-seven (34%) patients reported surgeries prior to diagnosis of ITP, especially: appendectomy (n=8) and tonsil removal (n=8). Twenty-three patients traveled close to date of diagnosis, 58 patients reported more stress than usual (i.e. death of a relative, loss of employment); 13 patients reported a drastic change in diet (i.e. decreasing calories (n=7) or becoming vegetarian (n=5)). Vitamin supplementation for vitamin C and D (each n=17), E (n=12) and B (n=11) were common. In addition, 11 vitamin deficiencies were reported, vitamin D (n=5), vitamin B12 (n=3) and other (n=3). The most frequent allergic reactions included: 31 (28%) patients with hay fever, 9 patients with allergies to milk, 7 patients with poison ivy or skin irritation, 6 patients with eczema, and 4 with allergic rhinitis. Other medical conditions reported were: hypothyroidism (n=10), hyperthyroidism (n=9), high blood pressure (N=16), high cholesterol (N=14), and anemia (N=13) [9 additional patients included 4 with iron deficiency anemia and 5 with a family history of iron deficiency anemia]. Seven patients reported a lack of prenatal care in their mothers' pregnancy and 7 were premature. Medications reported include: acetaminophen (n=53), antibiotics (n=36), antihistamines (n=22), and hormone therapy (n=17). Vaccinations received close to date of diagnosis include: flu vaccine (n=10) and T-dap (n=9). Prednisone was reported most frequently as both the best therapy to minimize symptoms (n=18) and the worst (n=16). Conclusion: Our pilot study intended to capture critical information and to further development of the questionnaire. We can see if there are groups of patients in whom onset and other characteristics relate to outcomes including response to treatment. Following formal statistical analysis of the material acquired (in progress and anticipated by early September), the next step will be for a final updated version of the questionnaire to be posted on the PDSA web site in order to accrue responses from a much larger number of patients. The questionnaire will also be given to a non-ITP patient population to serve as controls. Disclosures: Bussel: Amgen: Family owns Amgen stock Other, Membership on an entity's Board of Directors or advisory committees, Research Funding; Cangene: Research Funding; GlaxoSmithKline: Family owns GSK stock, Family owns GSK stock Other, Membership on an entity's Board of Directors or advisory committees, Research Funding; Genzyme: Research Funding; IgG of America: Research Funding; Immunomedics: Research Funding; Ligand: Membership on an entity's Board of Directors or advisory committees, Research Funding; Eisai: Membership on an entity's Board of Directors or advisory committees, Research Funding; Shionogi: Membership on an entity's Board of Directors or advisory committees, Research Funding; Sysmex: Research Funding; Portola: Consultancy. Off Label Use: The use of romiplostim in pediatric patients was examined in this study.


1991 ◽  
Vol 71 (2) ◽  
pp. 571-573 ◽  
Author(s):  
L. P. Lefkovitch

Rating scale data need not be manipulated to satisfy the assumptions of the analysis of variance, but formed into an incidence table classified by the ratings and other factors, and compacted over factors to focus on those which are important. References are given to methods for formal statistical analysis of these tables. Key words: Subjective rating, ordinal logistic


2021 ◽  
pp. 000312242110041
Author(s):  
Ian Lundberg ◽  
Rebecca Johnson ◽  
Brandon M. Stewart

We make only one point in this article. Every quantitative study must be able to answer the question: what is your estimand? The estimand is the target quantity—the purpose of the statistical analysis. Much attention is already placed on how to do estimation; a similar degree of care should be given to defining the thing we are estimating. We advocate that authors state the central quantity of each analysis—the theoretical estimand—in precise terms that exist outside of any statistical model. In our framework, researchers do three things: (1) set a theoretical estimand, clearly connecting this quantity to theory; (2) link to an empirical estimand, which is informative about the theoretical estimand under some identification assumptions; and (3) learn from data. Adding precise estimands to research practice expands the space of theoretical questions, clarifies how evidence can speak to those questions, and unlocks new tools for estimation. By grounding all three steps in a precise statement of the target quantity, our framework connects statistical evidence to theory.


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