On Logit Confidence Intervals for the Odds Ratio with Small Samples

Biometrics ◽  
1999 ◽  
Vol 55 (2) ◽  
pp. 597-602 ◽  
Author(s):  
Alan Agresti
2008 ◽  
Vol 19 (1) ◽  
pp. 34-39 ◽  
Author(s):  
Carlos Estrela ◽  
Cláudio Rodrigues Leles ◽  
Augusto César Braz Hollanda ◽  
Marcelo Sampaio Moura ◽  
Jesus Djalma Pécora

The aim of this study was to assess the prevalence and risk factors of apical periodontitis in endodontically treated teeth in a selected population of Brazilian adults. A total of 1,372 periapical radiographs of endodontically treated teeth were analyzed based on the quality of root filling, status of coronal restoration and presence of posts associated with apical periodontitis (AP). Data were analyzed statistically using odds ratio, confidence intervals and chi-square test. The prevalence of AP with adequate endodontic treatment was low (16.5%). This percentage dropped to 12.1% in cases with adequate root filling and adequate coronal restoration. Teeth with adequate endodontic treatment and poor coronal restoration had an AP prevalence of 27.9%. AP increased to 71.7% in teeth with poor endodontic treatment associated with poor coronal restoration. When poor endodontic treatment was combined with adequate coronal restoration, AP prevalence was 61.8%. The prevalence of AP was low when associated with high technical quality of root canal treatment. Poor coronal restoration increased the risk of AP even when endodontic treatment was adequate (OR=2.80; 95%CI=1.87-4.22). The presence of intracanal posts had no influence on AP prevalence.


2021 ◽  
Author(s):  
Isidoro J. Casanova ◽  
Manuel Campos ◽  
Jose M. Juarez ◽  
Antonio Gomariz ◽  
Marta Lorente-Ros ◽  
...  

BACKGROUND It is important to exploit all available data on patients in settings such as Intensive Care Burn Units (ICBUs), where several variables are recorded over time. It is possible to take advantage of the multivariate patterns that model the evolution of patients in order to predict their survival. However, pattern discovery algorithms generate a large number of patterns, of which only some are relevant for classification. The interpretability of the model is, moreover, an essential property in the clinical domain. OBJECTIVE We propose to use the Diagnostic Odds Ratio (DOR) to select the multivariate sequential patterns used in the classification in a clinical domain, rather than employing frequency properties. This makes it possible to employ a terminology closer to the language of clinicians, in which a pattern is considered to be a risk factor or to have a protection factor. METHODS We employ data obtained from the ICBU at the University Hospital of Getafe, where six temporal variables for 465 patients were registered every day during 5 days, and to model the evolution of these clinical variables we use multivariate sequential patterns. We compare four ways in which to employ the DOR for pattern selection: 1) We use it as a threshold in order to select patterns with a minimum DOR; 2) We select patterns whose differential DORs are higher than a threshold as regards their extensions; 3) We select patterns whose DOR confidence intervals do not overlap; and 4) We propose the combination of threshold and non-overlapping confidence intervals in order to select the most discriminative patterns. As a baseline, we compare our proposals with Jumping Emerging Patterns (JEPs), one of the most frequently used techniques for pattern selection that utilize frequency properties. RESULTS We have compared the number and length of the patterns eventually selected, classification performance, and pattern and model interpretability. We show that discretization has a great impact on the accuracy of the classification model, but that a trade off must be found between classification accuracy and the physicians' capacity to interpret the patterns obtained. We have, therefore, opted to use expert discretization without losing too much accuracy. We have also identified that the experiments combining threshold and non-overlapping confidence intervals (Option 4) obtained the fewest number of patterns but also with the smallest size, thus implying the loss of an acceptable accuracy as regards clinician interpretation. CONCLUSIONS A method for the classification of patients’ survival can benefit from the use of sequential patterns, since these patterns consider knowledge about the temporal evolution of the variables in the case of ICBU. We have proved that the DOR can be used in several ways, and that it is a suitable measure with which to select discriminative and interpretable quality patterns.


PEDIATRICS ◽  
1989 ◽  
Vol 83 (3) ◽  
pp. A72-A72
Author(s):  
Student

The believer in the law of small numbers practices science as follows: 1. He gambles his research hypotheses on small samples without realizing that the odds against him are unreasonably high. He overestimates power. 2. He has undue confidence in early trends (e.g., the data of the first few subjects) and in the stability of observed patterns (e.g., the number and identity of significant results). He overestimates significance. 3. In evaluating replications, his or others', he has unreasonably high expectations about the replicability of significant results. He underestimates the breadth of confidence intervals. 4. He rarely attributes a deviation of results from expectations to sampling variability, because he finds a causal "explanation" for any discrepancy. Thus, he has little opportunity to recognize sampling variation in action. His belief in the law of small numbers, therefore, will forever remain intact.


2020 ◽  
Vol 30 (10) ◽  
pp. 1445-1451
Author(s):  
Anda Zhao ◽  
Kena Zhao ◽  
Yuanqing Xia ◽  
Yong Yin ◽  
Jianzhen Zhu ◽  
...  

AbstractObjective:To explore if there is association between vitamin D supplementation through cod liver oil ingestion around the periconceptional period and the risk of developing severe CHD in offspring. Furthermore, we would examine the interaction between vitamin D and folic acid supplementation in the association.Methods:A case–control study was conducted in Shanghai Children’s Medical Center, in which, a total of 262 severe CHD cases versus 262 controls were recruited through June 2016 to December 2017. All children were younger than 2 years. To reduce potential selection bias and to minimise confounding effects, propensity score matching was applied.Results:After propensity score matching, vitamin D supplementation seemed to be associated with decreased odds ratio of severe CHD (odds ratio = 0.666; 95% confidence intervals: 0.449–0.990) in the multivariable conditional logistic analysis. Furthermore, we found an additive interaction between vitamin D and folic acid supplementation (relative excess risk due to interaction = 0.810, 95% confidence intervals: 0.386–1.235) in the association.Conclusion:The results suggested that maternal vitamin D supplementation could decrease the risk of offspring severe CHD; moreover, it could strengthen the protective effect of folic acid. The significance of this study lies in providing epidemiological evidence that vitamin D supplementation around the periconceptional period could be a potential nutritional intervention strategy to meet the challenge of increasing CHD.


SIMULATION ◽  
1991 ◽  
Vol 56 (2) ◽  
pp. 119-127 ◽  
Author(s):  
Krishnamurty Muralidhar ◽  
Gary Adna Ames ◽  
Rathindra Sarathy

2015 ◽  
Vol 21 (2) ◽  
pp. 138-142 ◽  
Author(s):  
Harrison Ndetan ◽  
Cheryl Hawk ◽  
Vishaldeep Ka Sekhon ◽  
Miguel Chiusano

The purpose of this study was to explore the role of chiropractic in the treatment of dizziness or balance disorders through an analysis of data from the 2008 National Health Interview Survey. Odds ratios and 95% confidence intervals (CIs) were used to assess the likelihood that respondents with dizziness or balance problems perceived that they were helped by specified practitioners. Eleven percent of respondents reported having had a balance or dizziness problem; more than 35% were aged 65 years and older. The odds ratio for perceiving being helped by a chiropractor was 4.36 (95% CI, 1.17-16.31) for respondents aged 65 years or older; 9.5 (95% CI, 7.92-11.40) for respondents reporting head or neck trauma; and 13.78 (95% CI, 5.59-33.99) for those reporting neurological or muscular conditions as the cause of their balance or dizziness.


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