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At least 1,225 records · Page 68Linked to original sources
PubMed1994

Sporogonic development of Plasmodium yoelii in five anopheline species.

Sporogonic development of Plasmodium yoelii yoelii 17XNL was examined in 5 species of Anopheles mosquitoes; A. albimanus, A. dirus, A. freeborni, A. gambiae, and A. stephensi. The kinetics of ookinete formation differed among species. In A. freeborni, A. gambiae, and A. stephensi, mature ookinetes formed synchronously at 8 hr, then quickly subsided. In A. albimanus and A. dirus, ookinete formation was more protracted, and ookinete densities peaked from 12 to 24 hr. Losses in parasite abundance during the conversion of ookinetes to oocysts were similar between A. dirus and A. gambiae (55- and 41-fold losses, respectively) but were an order of magnitude less in A. stephensi (1.3-fold loss). Ookinete conversion to oocysts in A. albimanus was nil. Melanotic encapsulation of oocysts occurred in 25-30% of infected A. gambiae and A. dirus. Melanized parasites in A. gambiae at days 7-10 were small (10 microns diameter) and retort-shaped, whereas melanized parasites in A. dirus were generally as large as normal oocysts (60 microns) and many were incompletely melanized. Melanotic encapsulation did not occur in A. stephensi, A. freeborni, or A. albimanus. On day 16, sporozoites were present in the salivary glands of A. freeborni, A. gambiae, and A. stephensi, but only half of mosquitoes were mature oocysts also had gland infections. When present in the glands, sporozoites were successfully transmitted to mice via mosquito bite. Parasite populations were not normally distributed in any mosquito species but were adequately described by a negative binomial type of distribution.

Analysis of Variance↗
PubMed2003

Probability in radiology.

In this article, a summary of the basic rules of probability using examples of their application in radiology is presented. Those rules describe how probabilities may be combined to obtain the chance of "success" with either of two diagnostic or therapeutic procedures or with both. They define independence and relate it to the conditional probability. They describe the relationship (Bayes rule) between sensitivity, specificity, and prevalence on the one hand and the positive and negative predictive values on the other. Finally, the two distributions most commonly encountered in statistical models of radiologic data are presented: the binomial and normal distributions.

Bayes Theorem↗
PubMed2006

On identifiability in capture-recapture models.

We study the issue of identifiability of mixture models in the context of capture-recapture abundance estimation for closed populations. Such models are used to take account of individual heterogeneity in capture probabilities, but their validity was recently questioned by Link (2003, Biometrics 59, 1123-1130) on the basis of their nonidentifiability. We give a general criterion for identifiability of the mixing distribution, and apply it to establish identifiability within families of mixing distributions that are commonly used in this context, including finite and beta mixtures. Our analysis covers binomial and geometrically distributed outcomes. In an example we highlight the difference between the identifiability issue considered here and that in classical binomial mixture models.

Animals↗
PubMed1993

Confidence limits based on the first occurrence of an event.

Confidence limits for population prevalence based on the first occurrence of an item in a medical database, or for incidence based on time to first occurrence, should be based on the geometric or exponential distributions, respectively. These intervals are presented and compared with the corresponding intervals based on the binomial and Poisson distributions. The lower confidence limits are shown to be the same, but the upper limits are smaller, hence leading to shorter intervals. Applications of these intervals are also presented.

Confidence Intervals↗
PubMedDate not supplied

Testing green coffee for ochratoxin A, part II: Observed distribution of ochratoxin A test results.

The suitability of 4 theoretical distributions (normal, lognormal, negative binomial, and gamma) to predict the observed distribution of ochratoxin A (OTA) in green coffee was investigated. One symmetrical and 3 positively skewed theoretical distributions were each fitted to 25 empirical distributions of OTA test results for green coffee beans. Parameters of each theoretical distribution were calculated by using Methods of Moments. The 3 skewed theoretical distributions provided acceptable fits to each of the 25 observed distributions. Because of its simplicity, the lognormal distribution was selected to model OTA test results for green coffee. Using variance equations determined in previous studies, mathematical expressions were developed to calculate the parameters of the log normal distribution for a given OTA lot concentration and test procedure. Observed acceptance probabilities were compared to an operating characteristic curve predicted from the lognormal distribution, and all 25 observed acceptance probabilities were found to lie within the 95% confidence band associated with the predicted operating characteristic curve. The parameters of compound gamma distribution were used to calculate the fraction of OTA contamination beans within a contaminated lot. The percent-contaminated beans were a function of the lot concentration and increased with lot concentration. At a lot concentration of 5 microg/kg, approximately 6 beans per 10,000 beans are contaminated.

Buffers↗
PubMedDate not supplied

Statistics of the LS-detector in the case of low counting efficiency.

In the case of high-quenched 3H and 63Ni sources a distinct incompatibility of theoretical and experimental detection efficiency in the triple liquid scintillation (LS) detector was observed (Appl. Radiat. Isot. 52 (2000) 643). The authors concluded, that the Poisson distribution does not properly describe the detection process, when less than one photoelectron is expected in one of the photomultipliers. Application of other distributions of photoelectrons, e.g. binomial, does not solve the observable problem of incompatibility. Measurements of a set of 55Fe sources have been performed with phototubes defocusing and grey filters for decreasing the counting efficiency of the TDCR detector. Differences between counting results of the 55Fe source and the light emitting diode (LED), simulating the scintillation source, excited by a pulse generator have been observed. Various distributions (Poisson, binomial and Polya) were used for the determination of the theoretical counting efficiency in both cases. The Poisson law gave a good result in the case of the LED but the Polya law had to be applied in the case of 55Fe. The results were independent of the scintillator volume. It seems that the validity of the Polya law in the case of LS-sources is related to the scintillator itself. Measurements of the 3H solution confirmed that conclusion.

Algorithms↗
PubMed1997

Reexamination of the hyper thermodynamic stability of asymmetric cyanomet valency hybrid hemoglobin, (alpha+CN-beta+CN-)(alpha beta): no preferentially populating asymmetric hybrid at equilibrium.

It has been reported that hybridization of the equimolar mixture of cyanomethemoglobin and deoxyhemoglobin through dimer exchange reaction results in establishment of an approximately binomial (1:2:1) equilibrium distribution of these parental hemoglobins and their hybrid molecule, (alpha+CN-beta+CN-)(alpha beta), within several days under anaerobic conditions at pH 7.4, 21.5 degrees C, leading to a hyper (i.e., about 170 times) thermodynamic stability of (alpha+CN-beta+CN-)(alpha beta) relative to the stability of the other diliganded species at pH 7.4, 21.5 degrees C [Daugherty, M. A., Shea, M. A., Johnson, J. A., LiCata, V. J., Turner, G. J., & Ackers, G. K. (1991) Proc. Natl. Acad. Sci. U.S.A. 88, 1110-1114]. To examine whether the published "binomiality" for this deoxy-cyanomet hybrid system really reflects the thermodynamic stability of (alpha+CN-beta+CN-)(alpha beta), we used a binomial (1:2:1) equilibrium distribution of the equimolar mixture of cyanomethemoglobin and fully oxygenated hemoglobin as a starting condition, and then this system was rapidly deoxygenated. We found that the relative population of the hybrid was reduced to 8.6% of the total upon deoxygenation. It was also found that the hybridization experiment under anaerobic conditions was not allowed to continue for a long time due to a valency exchange reaction between deoxy and cyanomet derivatives. For instance, a 48 h incubation resulted in the oxidation of 44% of Fe2+ to Fe3+ hemes in the original deoxyhemoglobin and the reduction of 42% of Fe3+ to Fe2+ hemes in the original cyanomethemoglobin. These results suggest that a real distribution of the deoxy-cyanomet hybrid system at equilibrium is fairly far from 1:2:1 (binomial distribution), and the thermodynamic stability of (alpha+CN-beta+CN-)(alpha beta) is less than one-tenth of the hyperstability previously reported. In addition, most of the previous results on deoxy-cyanomet valency hybrids placed under long anaerobic conditions should be subject to reexamination due to possible valency exchange reactions.

Adult↗
PubMed1994

Confidence intervals for weighted proportions.

We investigate methods for the construction of confidence intervals for a proportion in a stratified two-stage sampling design with few events occurring in a small number of large, unequal size strata. The critical aspect is the incorporation of the weighting scheme into the construction of a single overall confidence interval. With small numbers of events, the binomial based methods may be inadequate since the normal approximation is not valid. Computer simulations compare coverage probability and bias for five methods of obtaining confidence intervals for proportions by combining: (1) binomial variances; (2) confidence intervals based on the F-distribution approximation to the cumulative binomial; (3) the binomial variance method with exact confidence limits when a zero prevalence occurs in any stratum; (4) confidence intervals based on the F-distribution using a rescaling factor; and (5) the binomial variance method with exact confidence limits using a rescaling factor. The method that performs best in terms of coverage probability is the combination of stratum specific confidence intervals based on the F-distribution using a rescaling factor. The methods involving the binomial variance tend to be negatively biased and the methods based on the F-distribution tend to be positively biased. Application of these methods with data from a study of adolescent depression that employs a stratified two-stage sampling design is consistent with these results.

Adolescent↗
PubMed2001

Misspecifying latent class models by mixture binomials.

Four scenarios of homogeneity/heterogeneity with respect to the performance of the subjects and the task difficulties are considered: first, the unconstrained latent class model providing for heterogeneity with respect to both; second, the mixture binomial assuming constant task difficulty within each mixing component, but different levels of performance of the subjects; third, the model of independence which is equivalent to the one-class latent class model allowing for different task difficulties but no variability of the subjects; and fourth, the binomial with success probability constant across tasks and subjects. It is shown that both over- and underdispersion may arise in latent class models of which the other three are special cases. As a consequence, the latent class model and the mixture binomial may generate nearly indistinguishable score distributions where overdispersion is present. So the score distribution is not always indicative of the lack of fit of the mixture binomial when in fact the latent class model is true. It may, therefore, be misleading to accept mixture binomials as well-fitting models without having additionally assessed the fit of latent class models. This, however, is often the case in empirical research. A long series of investigations on Piaget's water-level tasks serves as a good example.

Adolescent↗
PubMed2006

Parametric survival models for interval-censored data with time-dependent covariates.

We present a parametric family of regression models for interval-censored event-time (survival) data that accomodates both fixed (e.g. baseline) and time-dependent covariates. The model employs a three-parameter family of survival distributions that includes the Weibull, negative binomial, and log-logistic distributions as special cases, and can be applied to data with left, right, interval, or non-censored event times. Standard methods, such as Newton-Raphson, can be employed to estimate the model and the resulting estimates have an asymptotically normal distribution about the true values with a covariance matrix that is consistently estimated by the information function. The deviance function is described to assess model fit and a robust sandwich estimate of the covariance may also be employed to provide asymptotically robust inferences when the model assumptions do not apply. Spline functions may also be employed to allow for non-linear covariates. The model is applied to data from a long-term study of type 1 diabetes to describe the effects of longitudinal measures of glycemia (HbA1c) over time (the time-dependent covariate) on the risk of progression of diabetic retinopathy (eye disease), an interval-censored event-time outcome.

Biometry↗
PubMed1994

The distribution of nematode egg counts and larval counts in grazing sheep and their implications for parasite control.

The frequency distribution of gastrointestinal nematode egg and lungworm larval counts was examined in 101 and 87 naturally infected ewes on two farms. The egg and larval outputs of the two flocks followed the negative binomial pattern of distribution (with k values below unity) at each time of sampling, which suggests highly overdispersed worm burdens. The results of the statistical analysis indicated that a relatively small part of the two flocks was responsible for the excretion of the majority of both gastrointestinal nematode eggs and Dictyocaulus filaria larvae. It is concluded that by eliminating "wormy" individuals of flocks either by selective breeding or by their selective anthelmintic treatment, effective control of parasite transmission can be achieved. Because of the phenomenon of nematode "clumping" it seems necessary to expand new methods for estimation of flock productivity caused by nematodes in livestock and to incorporate negative binomial parameter (k) in mathematical models of nematode population dynamics.

Animals↗
PubMed1995

Exposure of Gambian children to Anopheles gambiae malaria vectors in an irrigated rice production area.

Variation in exposure of children to malaria vectors of the Anopheles gambiae complex was recorded in a Gambian village situated near an irrigated area of rice cultivation. Observations were made in 1987 and 1988 during two dry seasons, when pumped water was used to grow rice, and two rainy seasons, when rice was produced using a combination of irrigated and rainfed paddies. Routine collections of mosquitoes were made from under bednets. Most of these specimens were assumed to have fed on the occupants of the net and thus represented a crude measure of exposure to malaria. Most nets in the village were in good condition, but even these were a poor defence against blood-seeking mosquitoes. Two annual peaks in the numbers of An.gambiae s.l. corresponded with the irrigation of rice paddies in the dry and wet seasons. When there were few vectors in the village the frequency distribution of mosquitoes caught under nets was described best by a Poisson process. When high numbers were present the daily distributions were over-dispersed and fitted a negative binomial model. The spatial distribution of mosquitoes varied between dry and wet seasons and was related to the predominant wind direction at night, suggesting that wind assisted the dispersal of mosquitoes from their breeding sites.(ABSTRACT TRUNCATED AT 250 WORDS)

Agriculture↗
PubMed1999

[Logistic regression vs other generalized linear models to estimate prevalence rate ratios].

In cross-sectional studies, to quantify the association between a risk factor and a disease (possibly adjusted for confounders), in the framework of the multiplicative model, the more obvious effect measure is a prevalence rate ratio with an associated confidence interval. The validity of this confidence interval requires an unbiased estimator and an appropriate estimate of the variance. In numerous epidemiological studies however, routine use is made of odds ratios and logistic regression. As the odds ratio per se is difficult to understand, prevalence odds ratios are often interpreted as prevalence rate ratios. But this latter approximation is valid only under the rare disease assumption. Moreover, in the logistic regression model, the variance of the estimates is based on the assumption of binomial variability, which is not always supported by the data; in the frequent case of overdispersion, this leads to under-estimation of the type I error rate. Yet, within the generalized linear model, it is easy to choose a link function other than the logit. For example, the log link (log-binomial model) is appropriate to directly estimate adjusted prevalence rate ratios. In case of overdispersion, it is also possible to achieve a better fit of the model, either by choosing another distribution in the exponential family or by estimating a dispersion parameter for the binomial distribution. Thus, there are no valid reasons for the systematic choice of odds ratio and of the logistic regression model to estimate prevalence rate ratios, unless the type of study imperatively requires their use.

Humans↗
PubMed1997

Estimation of distribution parameters of some avian parasites.

Occurrence of nematodes (mostly dominating and common species of Porrocaecum ensicaudatum and P. semiteres) in host populations of birds (Turdus merula, T. philomelos, Sturnus vulgaris and Scolopax rusticola) was summarized in frequency distributions, and tests of agreement with the Poisson model as well as the modified binomial have been computed. Comparisons of the observed frequencies with the expected ones showed the high values (3--257) of the coefficient of dispersion, the so-called "overdispersion", characteristic for the negative binomial which is an extension of the Poisson model. A nearly perfect fitness of the counted (observed) with the expected frequencies was found for S. vulgaris both in the analysis of nematode metapopulation and their common species of P. ensicaudatum. Some deviations from the expectations were found for tracing of all nematode species distributions in T. merula, T. philomelos. On the other hand, the same model (negative binomial distribution according to moment method) has fitted quite well to each for common or dominating nematode species.

Animals↗
PubMed2000

The beta-binomial model for host specificity among organisms in trophic interactions.

In this paper, we present a new stochastic model where the host specificity among organisms in trophic interactions in a community, say parasite-host interactions, is estimated by a beta-binomial model. The expected proportion of the host species in a community that a given parasite species is utilizing is modeled as a realization from an inhomogeneous Poisson process, where the rate of this process is assumed to be proportional to a beta probability distribution. The observed number of host species utilized by the parasites is then binomially distributed with the number of trials equaling the number of different host species in the sample. When the degree of polyphagy is estimated by the parameters of the beta-binomial model, quantities like community host specificity and the expected total number of parasite species that will utilize the host species in the community can be predicted as functions of the number of host species available. The predictions can then be applied in analysis of, e.g., symbiotic interactions among organisms, local species richness, and community structure.

Animals↗
PubMed1996

Ishihara test performance and dementia.

Ishihara trail-tracing (TT) and number-naming (NN) tests were administered to a clinical sample of 378 demented patients. Error counts on TT and NN tests were best fit by a negative binomial (overdispersed Poisson) distribution. TT, NN, and combined (TT + NN) error counts were regressed on patient characteristics (sex, age, and education), severity of cognitive impairment (Mini-Mental State Exam: MMSE), dementia stage (Clinical Dementia Rating: CDR), etiology, onset age, and symptom duration in a negative binomial generalized linear model. Patient characteristics, onset age, and symptom duration had no significant effects on any error count. The effects of MMSE, CDR, and etiology, on the other hand, were highly significant and appear to help discriminate vascular dementia from Alzheimer's disease. MMSE (which taps cognitive skills) correlated with both TT and NN errors. CDR (which taps both cognitive and functional skills) correlated only with TT errors and dementia etiology correlated only with NN errors. These distinct correlational patterns reflect differences between the TT and NN tasks (i.e., trail-tracing vs. number-naming) related to specific brain loci and associated functions. This aspect of the phenomenon suggests that Ishihara tests have useful clinical applications in dementia.

Aged↗