Transformations of the explanatory variables in the logistic regression model for binary data

Kay, Richard; Little, Sarah E

doi:10.1093/biomet/74.3.495

Cited by 140 publications

(86 citation statements)

References 9 publications

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“…Because the number of males in our study troops varied considerably (21), we used logistic regression to test the prediction that the probability of conceptions accruing to alpha males would be a negative function of male number, with male number log-transformed to improve linearity (32). We found, instead, that alpha male conception success was positively associated with cohort size (β = 1.4 ± 0.7 SE χ 2 = 3.98, P = 0.046; odds ratio = 4.05).…”

Section: Resultsmentioning

confidence: 99%

Infanticide and reproductive restraint in a polygynous social mammal

Henzi

Clarke

Schaik

et al. 2010

Proc. Natl. Acad. Sci. U.S.A.

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Alpha male chacma baboons experience uncontested access to individual estrus females. Consequently, alpha male paternity certainty is high and underpins significant levels of infanticide by immigrant males that, in turn, has selected for male defense of infants. There is also, however, a high probability that alpha males will be absent during the period when their own offspring are vulnerable, suggesting selection for additional countermeasures. We use data from a long-term study to test the prediction that alpha male chacma baboons cede reproductive opportunities to subordinate males and that this leads to the presence of other fathers that can serve as a buffer against infanticidal attack. We found that subordinate males obtained significantly more conceptive opportunities than predicted by priority of access alone, and that this occurred because alpha males did not consort all receptive periods. There was no evidence that this was due to energetic constraint, large male cohorts, alpha male inexperience, or the competitive strength of queuing subordinates. The number of males who benefited from concession and the length of time that they were resident relative to those who did not benefit in this way greatly reduced the probability that infants of alpha males would face immigrant males without a surrogate father whose own offspring were vulnerable. The absence of such males was associated with observed infanticide as well as, unexpectedly, an increased likelihood of takeover when alpha males with vulnerable infants were present. chacma baboons | paternity certainty | reproductive concession | sexual conflict

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Section: Resultsmentioning

confidence: 99%

Infanticide and reproductive restraint in a polygynous social mammal

Henzi

Clarke

Schaik

et al. 2010

Proc. Natl. Acad. Sci. U.S.A.

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“…I used a 9-pixel (3x3) test window, a 56-pixel reference window, and a 60-pixel variability window, as shown in figure 1, where J = 60. For a statistical decision, high values obtained by using (23), or equivalently (14B), reject the hypothesis H o in Proposition 1, thus, detecting anomalies. Set a decision threshold based on a choice of type I error using, as the base distribution, the chi-square distribution with 1 degree of freedom.…”

Section: Asemip Anomaly Detectormentioning

confidence: 95%

“…Semiparametric approaches are commonly used in analyzing binary data that arise in studying relationships between disease and 22 Casella, 1990. 23 Kay, 1987. environment of genetic characteristics. 18,19,20 Equation 4 has its roots in the standard logistic function having the general form…”

Section: Logistic Modelmentioning

confidence: 99%

Innovative Statistical Inference for Anomaly Detection in Hyperspectral Imagery

Rosario¹

2004

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Sensors and Electron Devices Directorate, ARLApproved for public release; distribution unlimited. Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing the burden, to Department of Defense, Washington Headquarters Services, Directorate for Information Operations and Reports (0704-0188), 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. ii REPORT DOCUMENTATION PAGE

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“…Different forms of γ(·) correspond to various conventionally used densities in the literature. Commonly used forms of γ(·) include γ(y) = y and γ(y) = log(y) (Anderson, 1979;Kay and Little, 1987;Qin et al, 2002).…”

Section: Semiparametric Random-effects Conditional Density Modelsmentioning

confidence: 99%

Semiparametric random-effects conditional density models for longitudinal analysis with concomitant intervention

Wu¹,

Liu²,

Li³

et al. 2018

STAT SINICA

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Longitudinal data in biomedical studies often involve concomitant interventions in addition to the pre-specified repeatedly measured outcome and covariate variables. Since a concomitant intervention is often initiated when a patient exhibits an undesirable health trend, adequate statistical methods should properly incorporate the starting time of a concomitant intervention in order to reduce the potential bias of the estimated intervention effects. We propose in this paper a class of semiparametric random-effects conditional density models for evaluating the distributions and concomitant intervention effects with longitudinal observations. These models simultaneously incorporate concomitant intervention effects and intra-subject longitudinal dependence structures, and quantify the change of the distribution functions through the ratio of two conditional density functions.The conditional density ratio is assumed to have a parametric form, while the baseline density function is nonparametric. We develop a likelihood-based method for estimating the parameters and a goodness-of-fit test for testing the validity of the Statistica Sinica: Newly accepted Paper (accepted version subject to English editing) Tianqing Liu, Colin O. Wu, Zhaohai Li and Yuanzhang Li models. Finite sample properties of our estimation and testing procedures are illustrated through a simulation study and an application to a longitudinal clinical trial in depression and heart disease.

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Transformations of the explanatory variables in the logistic regression model for binary data

Cited by 140 publications

References 9 publications

Infanticide and reproductive restraint in a polygynous social mammal

Infanticide and reproductive restraint in a polygynous social mammal

Innovative Statistical Inference for Anomaly Detection in Hyperspectral Imagery

Semiparametric random-effects conditional density models for longitudinal analysis with concomitant intervention

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