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PubMed1983

Characteristics of inhibitory post-synaptic currents in brain-stem neurones of the lamprey.

Voltage-clamp techniques were used to record spontaneously occurring inhibitory post-synaptic currents (i.p.s.c.s) from Müller cells in the brain stem of the lamprey. In normal bathing solution, the i.p.s.c.s in most cells had unimodally distributed amplitudes with a mean corresponding to a peak conductance of 107 nS and a coefficient of variation of about 15%. About 20% of the cells displayed, in addition, events of approximately twice the modal amplitude. The falling phase of the i.p.s.c.s was exponential with a mean time constant of about 32 msec. This is the same as the relaxation time constant of glycine-activated channels in these cells under comparable conditions (Gold & Martin, 1983b). When tetrodotoxin (TTX) was added to the bathing solution the spontaneous i.p.s.c.s disappeared, suggesting that they were due to release of transmitter by action potentials in presynaptic terminals. Spontaneous activity was also abolished by removing Ca2+ from the bathing solution. When extracellular Ca2+ was increased, or 4-aminopyridine (4-AP) was added to the bathing solution, the mean amplitude of the i.p.s.c.s increased and the amplitude distribution showed two or more distinct peaks. Analysis of the amplitude distributions suggested that the peaks represented single and multiple quantal events and that the release process obeyed binomial statistics. In TTX-blocked preparations, spontaneous i.p.s.c.s could be induced by raising extracellular K+. These had the same time constant of decay as in normal solution and a unimodal amplitude distribution, with the mean corresponding to a peak conductance of 45 nS. In solutions with raised extracellular K+ and reduced extracellular Cl-, the mean i.p.s.c. amplitude corresponded to a peak conductance of 67 nS. These variations in conductance corresponded closely to variations in conductance with extracellular K+ and Cl- of single glycine-activated channels. It is concluded that the i.p.s.c.s are produced by activation of conductance channels identical to those activated by glycine, and that in normal bathing solution i.p.s.c.s produced by individual presynaptic action potentials are the result of the release of one or, at most, two quanta of transmitter. Each quantum activates approximately 1500 elementary channels.

4-Aminopyridine↗
PubMed1980

Dual mode of junctional transmission at synapses between single primary afferent fibres and motoneurones in the amphibian.

1. The isolated hemisected frog spinal cord has been used to examine the effects of changes in ionic composition of perfusing medium on the intracellularly recorded e.p.s.p.s produced in single motoneurones by direct stimulation of individual dorsal root fibres through a separate intracellular micro-electrode.2. The monosynaptic single-fibre e.p.s.p.s usually reveal two distinct components, early and late. The early component is resistant to replacement of external Ca(2+) by Mn(2+) whereas the later is reversibly abolished. It is concluded that the junction between primary afferent fibre and motoneurone provides joint electrical and chemical transmission.3. The average amplitude of the unitary electrical e.p.s.p. varies at different junctions from 25 to 430 muV, mean 124 +/- 17 muV (n = 50). It is relatively stable and changes its amplitude only with changes in the height of presynaptic spike. The individual amplitudes observed in a given cell usually have a normal distribution suggesting that any variability in electrical response is entirely due to noise.4. The average amplitude of the single-fibre chemically mediated e.p.s.p. varies from less than 20 muV to 1.7 mV, mean 222 +/- 33 muV (n = 71). A positive correlation was found between the amplitudes of chemical and electrical e.p.s.p.s recorded from different motoneurones.5. Chemical e.p.s.p.s evoked by consecutive impulses in a single presynaptic fibre show statistical fluctuations in amplitude. The fluctuations occur in quantal steps in a manner described by binomial or Poisson statistics. Only in a few cases the deviation from stochastic distribution can be attributed to variable invasion of nerve impulses into the terminal region.6. The amplitude of the unit e.p.s.p. varies between 33 and 104 muV, mean 66.4 +/- 4.3 muV (n = 19). The mean quantum content (m) varies from less than 1 to more than 10. The m is reversibly reduced by Ca(2+) lack and by Mn(2+) until the chemically mediated response fluctuates according to a Poisson distribution with the unit e.p.s.p. equivalent to the single quantum of transmitter.7. When paired or repetitive stimuli are applied to the presynaptic fibre the facilitation of the chemically mediated unitary e.p.s.p. can be observed as well as the post-tetanic potentiation. The amplitude of the electrical e.p.s.p. remains unchanged during the period of post-tetanic potentiation, suggesting that the latter is attributable to some change restricted to the specific presynaptic mechanism responsible for the transmitter release but not to changes in presynaptic spike height.

Action Potentials↗
PubMed1985

Hookworm burdens and faecal egg counts: an analysis of the biological basis of variation.

The relationships between various measures of faecal egg output and hookworm burdens were investigated in 84 villagers from West Bengal with mixed Necator americanus and Ancylostoma duodenale infections. The pattern of day to day variability in egg counts from individuals can be characterized by the linear relationship between the logarithms of the variances and means. Egg output is shown to be non-periodic in long runs of day-to-day records. The distribution of worm numbers per host is well described by the negative binomial probability model, and the relationship between per capita egg output and worm burden is non-linear where egg output declines as parasite burden rises. Density-dependent effects on fecundity are shown to act at comparatively low worm burdens in relation to the range of observed parasite loads. Egg output measures are shown to be qualitative as opposed to quantitative measures of worm burdens as a consequence of inherent sampling heterogeneity and variability induced by biological processes, such as density-dependent depression of parasite fecundity. The analyses suggest that it is possible, on the basis of egg counts, to discriminate between individuals with low and high hookworm burdens. The intrinsic per capita fecundities of the two species of hookworms are shown to be similar, but density-dependent constraints on egg production by N. americanus appear to be more severe than those acting on A. duodenale. This observation may help explain why A. duodenale appears to produce larger numbers of eggs per unit of time than N. americanus. The regulatory role of density-dependent fecundity and aggregated distributions of worm numbers per person are discussed in relation to the over-all transmission dynamics of hookworm parasites.

Adolescent↗
PubMed1995

A full likelihood procedure for analysing exchangeable binary data.

A full-likelihood procedure is proposed for analyzing correlated binary data under the assumption of exchangeability. The binomial and beta-binomial models are shown to occur as special cases correspondingly, respectively, to the choice of degenerate and beta-mixing distributions. For a finite exchangeable binary sequence of random variables, expressions for the joint distribution, moments, and correlations of all orders are derived. Maximum likelihood estimates of the moments of all orders are computed and used to estimate correlations and the distribution of the number of responses in a cluster. In an application to developmental toxicology data analysis, the procedure introduced is compared with a beta-binomial and a generalized estimating equation procedure in which mean response and intralitter correlation are linked to dose.

2,4,5-Trichlorophenoxyacetic Acid↗
PubMed2000

[Distribution pattern and its dynamics of Taxus chinensis var. mairei population on Yunbaoshan Mountain].

Field data were sampled by the method of contiguous grid quadrate, and t-test of v/m ratio, negative binomial parameter, Green's index, Cassie's index, dispersion index, clumping index, mean crowding index and patchiness index were used to analyse the distribution pattern and its dynamics of Taxus chinensis var. mairei population. The result shows that the distribution pattern was clustering. From sapling to grown-up tree, the clustering degree was decreasing, while the big trees had a random distribution.

China↗
PubMed2004

A stochastic model of tumor response to fractionated radiation: limit theorems and rate of convergence.

The iterated birth and death Markov process is defined as an n-fold iteration of a birth and death Markov process describing kinetics of certain population combined with random killing of individuals in the population at moments tau 1,...,tau n with given survival probabilities s1,...,sn. A long-standing problem of computing the distribution of the number of clonogenic tumor cells surviving an arbitrary fractionated radiation schedule is solved within the framework of iterated birth and death Markov process. It is shown that, for any initial population size iota, the distribution of the size N of the population at moment t > or = tau n is generalized negative binomial, and an explicit computationally feasible formula for the latter is found. It is shown that if i --> infinity and sn --> 0 so that the product iota s1...sn tends to a finite positive limit, the distribution of random variable N converges to a probability distribution, which for t = tau n turns out to be Poisson. In the latter case, an estimate of the rate of convergence in the total variation metric similar to the classical Law of Rare Events is obtained.

Cell Survival↗
PubMed2001

Testing microbiologic response to antiinfective medications with incomplete data.

Clinical trials of antiinfective medications often require estimates of the proportions of patients, n, who are free of disease-causing pathogens at the end of treatment, as well as the proportions of all pathogens that have been eradicated. Each patient is infected with several species of pathogens, but the response to study medication for some of these pathogens may be unknown because some specimens were lost or because the patient received nonstudy medication that was known to be effective against these species. This paper develops a statistical model that estimates pi for each treatment and that accounts for the unknown pathogen responses as well as overdispersion of the remaining responses due to within-patient effects. The data are modeled with the Poisson distribution for the numbers of pathogen species per patient and the beta-binomial model for pathogen eradication. The Poisson and beta-binomial parameters are estimated through maximum likelihood estimation, and the treatment difference in the pi valves and its standard error are estimated by transforming the underlying parameters. Confidence intervals based on these estimates are constructed to test the hypothesis of noninferiority of the test treatment.

Algorithms↗
PubMed2006

Disease mapping using mixture distribution.

BACKGROUND & OBJECTIVES: Data on infectious diseases like tuberculosis (TB) have been analyzed in the past without giving adequate attention to spatial variations. Earlier studies also attempted to display disease status of sub regions, usually census tracts, by categorizing them into quartiles, that helps the authorities to identify high- or low-risk areas. This approach is based mainly on binomial and Poisson models for disease data, and the recent attempts focus on using mixture models of Poisson distribution. We carried out this study to find wards of Madurai Corporation having high risks for TB disease, to develop a model of mixture of Poisson distributions for the number of cases and to classify each ward to one of many risk groups for TB disease, and to represent spatial distribution of TB incidence in Madurai city. METHODS: produced the observed counts of TB patients in 72 wards of Madurai Corporation. The number of risk groups and the Poisson parameters of each group were found by maximum likelihood approach using the computer package C.A.MAN (Computer Assisted Mixture ANalysis). Bayesian methods were used to associate each ward to a particular risk group. The results were geographically presented in maps by using ArcView mapping software. RESULTS: Using binomial model, 26 wards were categorized as high risk wards, and with mixture model approach 15 wards showed standardized morbility ratio (SMR) >1. The wards along river Vaigai and densely populated wards had high risk. INTERPRETATION & CONCLUSION: Our findings demonstrate the usefulness of the mixture models for disease data with geographical variations.

Bayes Theorem↗
PubMed1995

Isotopomer study of lipogenesis in human hepatoma cells in culture: contribution of carbon and hydrogen atoms from glucose.

Recent developments in the application of stable isotopes and mass spectrometry have permitted the estimation of precursor enrichment and fractional synthesis of the product through mass isotopomer analysis. Thus, the application of isotopomer analysis in studies with 2H- and 13C-labeled glucose may potentially overcome the limitations of traditional methods which can only estimate the fractional use of carbon and hydrogen from glucose for lipogenesis. To illustrate this approach, isotope incorporation and mass isotopomer distribution were determined in fatty acids and cholesterol from a hepatoma cell line (Hep G2) grown in media containing specific (C1 or C6) 2H- or 13C-labeled glucose. Using the binomial model, the respective precursor enrichment, and fractional synthesis of palmitate, stearate and cholesterol were determined using mass isotopomer distribution analysis. In 1 week, 80% of palmitate, 65.5% of stearate, and 50% of cholesterol molecules in the cell extract were derived from de novo synthesis. Under serum-free condition, glucose contributed about 80% of the carbon of the newly synthesized lipids. Using the relative isotope yield of [1-13C] and [6-13C]glucose and a standard formula, the contribution of the pentose pathway to glucose catabolism was calculated to be 4.7%. Fractional syntheses of palmitate, stearate, and cholesterol determined using [1-2H]glucose agreed well with values determined using 13C-labeled glucose. After correcting for the contribution of deuterium label from the glycolytic pathway, the deuterium from [1-2H]glucose contributed 4.7% of the total reducing equivalents for lipogenesis. Unlike radioisotope studies, the stable isotope approach provides information from the perspective of the product and insight into the economy of acetyl units and reducing equivalents which were otherwise not available.

Carbon Isotopes↗
PubMedDate not supplied

[Descriptive analysis of the excess of acute leukemia morbidity among children in Briansh district].

12 cases of ALL, 2 cases of ANLL and 3 cases of NHL have been registered among children aged 0-15 living in 6 Bryansk territory regions exposed to radionuclide contamination after the Chernobyl accident. The study covers the period from 1986 to 1991. There was an excess of acute Leukemia incidence in 1986 as indicated by 7 ALL and 1 ANLL cases. For ALL relative risk was 4.49, p = 0.006. In 2 cases AL was diagnosed before the accident, 2 patients fell ill in June, 2 in July, 1 in August, we have no exact date for 1 patient. Relative risk has never exceeded 1.0 for all the analyzed hemoblastoses within the last 5 years. The Poisson probability of chance occurrence of 8 AL cases in supervision regions during one year is 0.0004. Sex distribution of the cases was atypical either: 7 from 8 patients were boys. Binomial probability is 0.056 under the standard sex ratio 6:5. No evidence was obtained that this high incidence of childhood leukemia extends to neighbour regions of the Gomel, Mogilev and Bryansk territories. The descriptive epidemiological analysis has confirmed the existence of childhood leukemia incidence excess in 1986, but failed to explain its cause. Analysis of incidence rates alone is not enough to confirm connection between leukemia hazard and Chernobyl accident.

Adolescent↗
PubMed1996

The host-parasite relationship in canine heartworm infection in a hyperendemic area of Italy.

From November 1990 to June 1991, 2273 Dirofilaria immitis were collected from 175 stray dogs euthanized in the province of Padua. The breed, sex, age and weight of each animal were noted. The worms were counted, sexed, differentiated as adults or fifth-stage larvae and weighed, and their length was measured. The host-parasite relationship in this epidemiological situation was characterized by a high prevalence (67%) together with a low intensity (19) and abundance (13). The frequency distribution of the parasites in the population of dogs followed a negative binomial pattern (k = 0.3177), showing a good, stable host-parasite relationship. The major risk of infection was in late July and August, some new infections being established in October and, maybe, in November. The majority of dogs that acquired new infections were young animals probably because of an immune response in older dogs. However, the prevalences increased (p < 0.01) in dogs from 1 to 5 years old, in shepherd and hunting dogs compared to the other breeds, and in large as opposed to small dogs. Microfilaraemia (range 1-1,883,000/ml) correlated, as a trend, with the number of adult filariae, which also correlated with the age and the weight of the dogs (p < 0.01). No significant correlations were found between the length or weight of the adult filariae and the data from dogs.

Aging↗
PubMed1998

Determination of sample sizes for the estimation of Onchocerca volvulus (Filarioidea: Onchocercidae) infection rates in biting populations of Simulium ochraceum s.l. (Diptera: Simuliidae) and its application to ivermectin control programs.

Monthly samples of biting Simulium ochraceum s.l. Walker were collected before and after ivermectin treatment in southern Mexico and analyzed for Onchocerca volvulus Leuckart infection rates, infection intensity, and the characteristics of larval distribution among parous flies. The variance over mean ratio (VMR) indicated that in all cases this distribution departed from Poisson and was strongly aggregated (VMR > 1). The negative binomial was found to be an adequate model with a small value of the aggregation parameter k, but the degree of larval overdispersion increased as the mean larval load decreased, invalidating the use of a common kc value. A linear relationship between k and the mean (mu) was established, k(mu) = k1 mu, which permitted exploration of the relationship between the observed proportion of infected flies, p, and the estimated mean larval burden per fly, m (all larval stages in parous flies). This would allow mean numbers of larvae per parous fly to be predicted from presence-absence data (e.g., from infection rates provided by polymerase chain reaction methods applied to pools of flies), assuming that k1 is a known parameter. Given that both p and m are naturally low in S. ochraceum, their relationship was practically linear within the range of observed values. Predictions were tested with the Mexican data from which the clumping parameter was estimated as well as for Guatemalan data for which this information was not available. Results showed a highly satisfactory degree of agreement between predictions and observations. The sample sizes required to estimate mean larval loads from prevalence data for fixed levels of precision (defined as the ratio between SE[m] and m) were calculated for realistic S. ochraceum infection rates (those found in published pre- and postcontrol field surveys as well as in this work). For the special case in which the relationship between k and the mean is linear and goes through the origin, k(mu) = k1 mu, the number of flies to be examined for O. volvulus infections does not explicitly depend on the aggregation parameter, but rather on the unknown proportion of infected flies. Practical recommendations for the calculation of sample sizes are discussed. For infection levels < 0.2%, a minimum number between 6,000 and 13,000 parous flies would have to be examined to estimate the mean larval load with a precision between 0.20 and 0.30. The linearity between onchocercal infection rate and infection intensity in the fly population indicates that relationships between the former and onchocerciasis patterns in the human population should be further explored for the purposes of monitoring the impact of ivermectin control programs through entomological evaluations.

Animals↗
PubMed2004

Carotid angioplasty and stent placement: comparison of transcranial Doppler US data and clinical outcome with and without filtering cerebral protection devices in 509 patients.

PURPOSE: To prospectively evaluate emboli detected at transcranial Doppler ultrasonography (US) and outcome of carotid angioplasty and stent placement and compare these findings in patients treated with the use of filtering cerebral protection devices (CPDs) with the findings in patients treated without the use of filtering CPDs. MATERIALS AND METHODS: This study was approved by the institutional human research committee. Written informed consent was obtained for all patients. Patients were divided into three groups: 161 patients treated before filtering CPDs had become available (group 1), 151 patients treated with filtering CPDs (group 2), and 197 patients treated without CPDs after CPDs had become available (group 3). Clinical end points were cerebral ischemic events and death. Transcranial Doppler US end points included isolated microemboli, microembolic showers, macroemboli, and distal thrombus. The procedure was divided into five phases: wiring, predilation, stent deployment, postdilation, and CPD handling. Data not distributed normally were analyzed with the Mann-Whitney U statistic. For binomial data, the chi(2) test was used. P < .05 indicated statistical significance. RESULTS: For each phase, median and interquartile range (IQR) for isolated microemboli in group 2 versus group 3 were as follows: wiring, 51 (IQR, 31-69) versus 27 (IQR, 15-48); predilation, 19 (IQR, 13-33) versus 13 (IQR, 8-19); stent deployment, 64 (IQR, 46-82) versus 48.5 (IQR, 33.25-66); and postdilation, 24 (IQR, 14-39) versus 16 (IQR, 11-27.5) (P < .001 for each phase). Median and IQR for microembolic showers were as follows: wiring, 0 (IQR, 0-3) versus 0 (IQR, 0-0); predilation, 1.5 (IQR, 0-4) versus 0 (IQR, 0-2); stent deployment, 22 (IQR, 11-36) versus 11 (IQR, 6-17); postdilation, three (IQR, 0-9) versus one (IQR, 0-4); (postdilation phase, P = .001; all other phases, P < .001). Median for isolated microemboli in group 1 versus groups 2 and 3 combined were as follows: predilation, 10 (IQR, 5-22.75) versus 16 (IQR, 9-25) (P = .001); stent deployment, 32 (IQR, 15-58) versus 54 (IQR, 40.5-74) (P < .001); and postdilation, 11 (IQR, 6-19) versus 18 (IQR, 12-33) (P < .001). Median for microembolic showers during stent deployment were six (IQR, 1-14) versus 13 (IQR, 7-26) (P < .001). Five patients died, and five major strokes and 14 minor strokes occurred. Eight macroemboli occurred in unprotected procedures; six distal thrombi occurred in protected procedures. CONCLUSION: Carotid angioplasty and stent placement yielded more microemboli in patients treated with filtering CPDs than in unprotected procedures. The infrequent occurrence of cerebral sequelae did not allow comprehensive statistical comparison between groups.

Aged↗
PubMed1986

Parasitism in a declining population of snowshoe hares.

Prevalence and intensity of six endoparasites were determined in 346 snowshoe hares (Lepus americanus) obtained at Rochester, Alberta, during December-April 1981-1982, the second winter of a cyclic population decline. The data were analyzed for (1) differences among host sex and age classes, and among months and sample sources, and (2) evidence that parasitism was of demographic significance to the hare population. Prevalence and intensity of Obeliscoides cuniculi were consistently highest among adult hares, but rose most sharply from February to March among juveniles. In contrast, prevalence and intensity of Nematodirus triangularis were highest among juveniles; prevalence reached 90-100% by January, whereas intensity continued to rise through April. Prevalence and intensity of both Trichuris leporis and Protostrongylus boughtoni were highest also among juvenile hares; neither parameter exhibited a definite trend over time. Prevalences of Taenia pisiformis (cysticerci) and Eimeria spp. were unrelated to sex, age or month; but Taenia intensity was highest among juveniles, and Eimeria intensity tended to decrease from December to April. Intensities of Nematodirus, Protostrongylus and Eimeria were higher in male hares than in females. Prevalence and intensity were correlated directly in Obeliscoides, Nematodirus, Trichuris and Eimeria. Hares that died during trapping and handling, or from natural predation, had greater intensities of Obeliscoides than did animals killed on purpose. There was no indication, however, that risk of death was increased by the other parasitic infections. Age-related immune responses to parasitism (except Obeliscoides) were evidenced by reduced or stabilized prevalence and/or intensity among older hares. A multiple-regression model predicted depressed body weight with increasing intensities of Nematodirus, Trichuris or Protostrongylus. Other body-condition and reproductive indices were unassociated with parasite intensities. Within the hare population, Obeliscoides, Trichuris, Protostrongylus and Taenia had overdispersed distributions (typical of many endoparasites) that did not differ from a negative binomial. The frequency with which each possible combination of helminth species occurred within individual hares was consistent with the assumption that such infections occurred independently. There was no compelling reason to believe parasitism was a significant factor in the overwinter decline of this population of snowshoe hares.

Aging↗
PubMed1976

[Individual variation in the frequency of chromosome aberrations under the influence of chemical mutagens. I. Inter-cultural and inter-individual variations in the effect of mutagens on human lymphocytes].

The study of the distribution law of human peripheral blood cultures for the sensitivity to thiophosphamide was performed. In the first experiment the blood from one person was used, in the second one the blood was used from different persons. "The percent of aberrant cells" and "the number of chromosome breaks per 100 cells" were scored. The distribution law of the cultures in all the experiments was found to be normal. Analysis of the variances on the percent of aberrant cells showed that the distribution law of the cultures received from one donor corresponded to the binomial one, and that of the cultures received from different donors--to the Poisson's one.

Alkylating Agents↗
PubMed1974

Neoplastic diseases of the haematopoietic and lymphoid tissues.

Systemic lymphosarcomas are common in all species of domestic mammal. A binomial classification of these tumours, based on both the anatomical form (i.e., distribution of lesions) and the type of cytology, is proposed. Mast cell tumours also are common, especially in the dog. The categories of lymphoid neoplasms described are: lymphosarcoma, lymphoid leukaemia, nodular lymphoid hyperplasia, tumours of the immunoglobulin-forming cells, and thymoma. The myeloid neoplasms described are: myeloid leukaemia, erythroleukaemia, acute erythraemia, polycythaemia vera, megakaryocytoid leukaemia, panmyelosis, myelosclerosis, and monocytoid leukaemia. Mast cell tumours are divided into mastocytoma and malignant mastocytosis.

Animals↗
PubMed1997

Short- and long-term multilineage repopulating hematopoietic stem cells in late fetal and newborn mice: models for human umbilical cord blood.

Blood from late fetal and newborn mice is similar to umbilical cord blood obtained at birth in human beings, an important source of stem cells for clinical transplantation. The mouse model is useful because long-term functions can be readily assayed in vivo. To evaluate the functions of hematopoietic precursors in the blood and other tissues of late fetal and newborn mice, short- and long-term multilineage repopulating abilities were measured in vivo by competitive repopulation. Manipulations that might affect cell function, such as enrichment, tissue culture, or retroviral marking, were avoided. Hematopoietic stem cell functions of late fetal or newborn blood, liver, and spleen, were assayed as myeloid and lymphoid repopulating abilities relative to standard adult marrow cells. Donor cells from these tissues as well as adult control donor marrow cells were all of the same genotype. Cells from each donor tissue were mixed with portions from a pool of standard adult "competitor" marrow distinguished from the donors by genetic differences in hemoglobin and glucosephosphate isomerase. After 21 to 413 days, percentages of donor type myeloid and lymphoid cells in recipient blood were measured to assay the functional abilities of donor precursors relative to the standard. These relative measures are expressed as repopulating units, where each unit is equivalent to the repopulating ability found in 100,000 standard adult marrow cells. Thus, measures of repopulating units do not compare single cells but overall repopulating abilities of donor cell populations. Relative functional abilities in 1 million nucleated cells from late fetal or newborn blood were several times less than those found in adult marrow, but far more than in normal adult blood, and appeared to include long-term functional primitive hematopoietic stem cells (PHSC) similar to those in marrow. To estimate functional abilities of individual PHSC, variances among large groups of identical recipients were analyzed using both the binomial model and competitive dilution, a new model based on the Poisson distribution. The data best fit the hypothesis that individual PHSC from adult marrow, late fetal blood, or newborn blood each produce similar fractions of the total lymphoid and erythroid cells found in the recipient for many months.

Animals↗
PubMed1994

F-type statistics and the analysis of binomial data with overdispersion.

The analysis of binomial data that exhibit overdispersion in a randomized complete block design is investigated. More specifically, the asymptotic distribution of the test statistic for the treatment effects in the presence of overdispersion and random effects is considered. A Monte Carlo simulation attempts to quantify the error in the approximation by the F-distribution to the distribution of the test statistic given by many popular statistics packages including SAS. The influence of different parameter values (i.e., number of treatments, number of observations per cell, degree of overdispersion, etc.) on the goodness of the approximations is evaluated. General recommendations are given for practical analysis of binomial data.

Analysis of Variance↗