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Latent trait standardization of the benzodiazepine dependence self-report questionnaire using the Rasch scaling model.

The aim of the present study was to obtain standardized scores that correspond with the raw scores on the four Rasch scales of the Benzodiazepine Dependence-Self Report Questionnaire (Bendep-SRQ). The eligible normative group for standardization of the Bendep-SRQ scales consisted of 217 general practice (GP) patients, all using benzodiazepines. Two standardization methods were used and compared: "classical standardization," which transforms raw scores into standard scores on the unit normal distribution, and "latent trait standardization," which transforms raw scores into latent trait scores. The latter requires the Rasch model with the additional assumption of a normally distributed latent trait, which held true for the scales "problematic use," "lack of compliance," and "withdrawal," but not for "preoccupation." The observed unequal item spacing on the "preoccupation" scale was hypothesized to induce a response tendency of nondeviation, causing a local violation of the assumption of a normally distributed latent trait. Nevertheless, comparison of the results of the two standardization methods revealed such a high degree of resemblance, that latent trait standardization could be used for "preoccupation" just as well as classical standardization. The presented standard scores and corresponding percentile ranks make raw Bendep-SRQ scores clinically interpretable in relation to the normative GP sample. Incorporation of the Rasch scaling methodology into the development of the Bendep-SRQ marks the adoption of the item response theory in the field of applied test methodology. In this process, it appears that equal item spacing has to be taken into account to prevent local violations of the Rasch model with the additional assumption of a normally distributed latent trait.

Adolescent↗

Theophylline tissue partitioning and volume of distribution in normal and dietary-induced obese rats.

Theophylline tissue distribution was examined in normal and dietary-induced obese Sprague-Dawley rats following constant infusion to steady-state. Theophylline distribution was linear among all tissues and uniform throughout body water spaces. The apparent distribution coefficient, Kd,app (tissue: serum concentration) ranged from 0.55 to 0.69 for all lean tissues, but averaged 0.08 in fat. Obese rats had a consistently higher Kd,app in several tissues including muscle, heart, and liver caused by reduced (from 42 to 33 per cent) serum protein binding. Muscle slice uptake of theophylline from buffer was similar in normal and obese animals, confirming serum binding as the factor altering Kd,app. The conceptual and applied bases of calculating and measuring steady-state volume of distribution (VSS) by various methods were explored. The physiological perturbations of theophylline VSS by obesity can be accounted for by alterations in serum binding and expanded lean and fat tissue masses, rather than changes in tissue partitioning.

Animals↗

Simulated percentage points for the null distribution of the likelihood ratio test for a mixture of two normals.

We find the percentage points of the likelihood ratio test of the null hypothesis that a sample of n observations is from a normal distribution with unknown mean and variance against the alternative that the sample is from a mixture of two distinct normal distributions, each with unknown mean and unknown (but equal) variance. The mixing proportion pi is also unknown under the alternative hypothesis. For 2,500 samples of sizes n = 15, 20, 25, 40, 50, 70, 75, 80, 100, 150, 250, 500, and 1,000, we calculated the likelihood ratio statistic, and from these values estimated the percentage points of the null distributions. Our algorithm for the calculation of the maximum likelihood estimates of the unknown parameters included precautions against convergence of the maximization algorithm to a local rather than global maximum. Investigations for convergence to an asymptotic distribution indicated that convergence was very slow and that stability was not apparent for samples as large as 1,000. Comparisons of the percentage points to the commonly assumed chi-squared distribution with 2 degrees of freedom indicated that this assumption is too liberal; i.e., one's P-value is greater than that indicated by chi 2(2). We conclude then that one would need what is usually an unfeasibly large sample size (n greater than 1,000) for the use of large-sample approximations to be justified.

Biometry↗

Characterization of the distribution of the cocaine priming threshold and the effect of SCH23390.

The cocaine-induced reinstatement (priming) of cocaine self-administration occurs when the cumulative concentration of cocaine reaches a threshold level that we have previously termed the cocaine priming threshold. The present studies used a modified procedure to measure the cocaine priming threshold over 4-8-month periods in individual rats. The values for the priming threshold varied between days but there was no evidence of a systematic change in the priming threshold over time, indicating that neither tolerance nor sensitization occurred. The frequency distribution of the priming threshold was significantly different from a normal distribution but was not significantly different from a log-normal distribution. Therefore, the geometric mean with its associated variance estimates, but not the arithmetic mean, appropriately describe the distribution of the cocaine priming threshold. The estimate of the geometric mean value of the priming threshold for this group of Sprague-Dawley rats was 284 (CI(95): 234-344) microg/kg of cocaine. The log-normal distribution of equieffective doses of cocaine is typical of agonist-induced pharmacological responses. In the presence of the D(1) dopamine receptor-selective antagonist SCH23390, the geometric means of the cocaine priming threshold were significantly increased in a dose-dependent manner, implying a role for D(1) dopamine receptors in the priming response. This technique provides a quantitative method for the measurement of antagonist-induced increases in the cocaine priming threshold.

Algorithms↗

Hair density, hair diameter and the prevalence of female pattern hair loss.

BACKGROUND: Female pattern hair loss is common but estimates of its prevalence have varied widely. The relationships between the clinical diagnosis of female pattern hair loss and objective measurements of hair density and hair diameter have not previously been evaluated. OBJECTIVES: To determine the prevalence of female pattern hair loss and to relate the clinical findings to hair density and hair diameter. METHODS: We examined 377 women, aged 18--99 years, who presented to a general dermatology clinic with complaints unrelated to hair growth (the unselected sample). A second group of 47 women referred with typical female pattern hair loss was included in analyses of the relationships between hair density, hair diameter and the clinical diagnosis. Hair density was measured using a photographic method. In each subject the major and minor axis diameters were measured in a random sample of 50 hairs. RESULTS: Six per cent of women aged under 50 years were diagnosed as having female pattern hair loss, increasing to 38% in subjects aged 70 years and over. The mean +/- SEM hair density was 293 +/- 61.3 hairs cm(-2) at age 35 years, falling to 211 +/- 55.1 hairs cm(-2) at age 70 years. Hair density showed a normal distribution in the unselected sample. Most women classified as having female pattern hair loss had hair densities within the lower half of the normal distribution. The perception of hair loss was determined mainly by low hair density (ANOVA P < 0.001), but there was overlap in hair density between women classified as having Ludwig I hair loss and the no hair loss group, which was partly accounted for by differences in mean hair diameter (ANOVA P < 0.001). Low hair density was associated with fewer hairs of all diameters. CONCLUSIONS: Hair density in women is distributed as a normal variable, indicating that it is determined as a multifactorial trait. Women with female pattern hair loss have a hair density which falls below the mean but lies within the spectrum of the normal distribution, although other factors, including hair diameter, may affect the subjective impression of hair loss. The hair diameter data suggest that low hair density is not due to progressive diminution in hair follicle size and that follicular miniaturization may occur within the space of a single hair cycle.

Adolescent↗

Expression of the platelet-activating factor receptor in human spermatozoa: differences in messenger ribonucleic acid content and protein distribution between normal and abnormal spermatozoa.

OBJECTIVE: To determine the expression and distribution of the platelet-activating factor (PAF) receptor in normal and abnormal specimens of human spermatozoa. DESIGN: Prospective analysis of membrane-bound PAF receptors by immunofluorescence and PAF receptor messenger RNA by quantitated reverse transcription-polymerase chain reaction in normal and abnormal spermatozoa. SETTING: University-based reproductive genetics laboratory. PATIENT(S): Men undergoing routine semen analysis. INTERVENTION(S): Normal and abnormal spermatozoa were exposed to rabbit anti-PAF receptor antibody, fluorescein isothiocyanate-conjugated goat anti-rabbit antibody, and fluorescent microscopy or subjected to RNA isolation by acid-phenol extraction and quantitated (MIMIC Construction Kit [Clontech Laboratories, Inc., Palo Alto, CA]) reverse transcription-polymerase chain reaction. MAIN OUTCOME MEASURE(S): Fluorescent intensities at six locations along spermatozoa (end piece, principal tail, midpiece, neck, proximal head, and acrosomal region) and PAF receptor expression (messenger RNA) levels. RESULT(S): Immunofluorescence demonstrated a significant difference in PAF receptor distribution between normal and abnormal human spermatozoa, specifically at the neck region. Additionally, abnormal spermatozoa were found to have statistically significantly more PAF receptor messenger RNA than normal spermatozoa. CONCLUSION(S): Platelet-activating factor receptor expression and distribution are significantly altered in abnormal spermatozoa and this may be the result of some defect in gene transcription.

Animals↗

Factors determining the size frequency distribution of beta-amyloid (A beta) deposits in Alzheimer's disease.

The size frequency distributions of discrete beta-amyloid (A beta) deposits were studied in single sections of the temporal lobe from patients with Alzheimer's disease. The size distributions were unimodal and positively skewed. In 18/25 (72%) tissues examined, a log normal distribution was a good fit to the data. This suggests that the abundances of deposit sizes are distributed randomly on a log scale about a mean value. Three hypotheses were proposed to account for the data: (1) sectioning in a single plane, (2) growth and disappearance of A beta deposits, and (3) the origin of A beta deposits from clusters of neuronal cell bodies. Size distributions obtained by serial reconstruction through the tissue were similar to those observed in single sections, which would not support the first hypothesis. The log normal distribution of A beta deposit size suggests a model in which the rate of growth of a deposit is proportional to its volume. However, mean deposit size and the ratio of large to small deposits were not positively correlated with patient age or disease duration. The frequency distribution of A beta deposits which were closely associated with 0, 1, 2, 3, or more neuronal cell bodies deviated significantly from a log normal distribution, which would not support the neuronal origin hypothesis. On the basis of the present data, growth and resolution of A beta deposits would appear to be the most likely explanation for the log normal size distributions.

Aged↗

Genetic contributions to LDL-C, Apo-B and LDL-C/Apo-B ratio in a sample of Israeli offspring with a parental history of myocardial infarction.

One hundred and forty sibships consisting of 280 brothers and 256 sisters with a family history of myocardial infarction were investigated for the possible involvement of a major gene in the determination of LDL-C, Apo-B and LDL-C/ Apo-B ratio (as a surrogate for LDL subclasses). The mean ages were 29.5 years (range 15-48) and 29.2 years (range 15-47), for brothers and sisters, respectively, and values were initially adjusted for age effects through multiple regression analysis. Results from commingling analysis indicated that for LDL-C a single normal distribution fitted the data as well as a mixture of two distributions. For Apo-B, a mixture of two normal distributions fitted the data significantly better than a single distribution (chi 2 = 7.8, df = 2, p = 0.02). For LDL-C/ Apo-B ratio a mixture of three normal distributions fitted the data significantly better than two distributions (chi 2 = 9.2, df = 2, p = 0.01). A regression analysis applied to the logarithm of the sex- and age-adjusted mean and variance within sibship, showed no indication of a major gene involvement for LDL-C. For Apo-B and LDL-C/Apo-B ratio, there existed, however, significant linear relationships between the logarithmically transformed means and within sibship variances which support the involvement of major genes. In addition, the Bartlett test applied to the data of within-sibship variances also rejected the null hypothesis of multifactorial transmission for Apo-B and LDL-C/Apo-B ratio (p < 0.0001). Lastly, the results from sib-pair linkage analyses provided significantly positive evidence for linkage between ApoB levels and the Apo-B XbaI restriction site.

Adolescent↗

Genetic determination of plasma apolipoprotein AI in a population-based sample.

Apolipoprotein AI (apo AI) is the major protein of high-density lipoprotein (HDL). Using radioimmunoassay, we measured plasma apo AI levels in 1,880 individuals in 283 pedigrees randomly selected from the population with respect to disease status and risk factors for coronary artery disease. Apo AI levels were first adjusted for date of assay (6.8% of apo AI variation) and then adjusted for variability in age and body mass index (an additional 6.6%, 20.4%, and 23.0% of apo AI variations for males, females not using exogenous hormones, and females using exogenous hormones, respectively). A mixture of two normal distributions fit the adjusted data better than did a single normal distribution. Genetic and environmental models that could explain the mixture of normal distributions were investigated using complex segregation analysis. Heterogeneous etiologies for individual differences in adjusted apo AI levels were suggested by the data in the 283 pedigrees. In a subset of 126 pedigrees, there is evidence for the major effect of a nontransmitted environmental factor that explains the mixture of distributions as well as polygenic loci that influence apo AI levels within each distribution. The environmental factor and polygenic loci account for 32% and 65% of the adjusted variation, respectively. In the other 157 pedigrees there is strong support for a single locus with a major effect that accounts for 27% of the adjusted variation. The effect of the polygenic loci is not different from zero in these 157 pedigrees. This is the first study to present evidence for the segregation of a single unmeasured locus with a major effect on levels of apo AI in a population-based sample of pedigrees.

Adolescent↗

Use of the generalised linear model with Poisson distribution to compare caries indices.

In dental epidemiological studies, an analysis of variance assuming a normal distribution is commonly used to compare caries indices, which are often not normally distributed. As these indices represent discontinuous data, it would be preferable to use the negative binomial or the Poisson distribution. In this study, in order to compare the DMFS indices of adults working in the confectionery manufacturing industry in France, the results of the generalised linear model obtained using the normal and the Poisson distribution with identity or log built-in link function were compared. The negative binomial distribution was not used because it is very often unavailable in the most used statistical software. Analysis of the caries indices showed that the use of the normal distribution could lead to an incorrect interpretation of the data. Therefore it is concluded that the generalised linear model with Poisson distribution and over dispersion is to be preferred when comparing caries levels.

Adult↗

Caliber and distribution of normal coronary arterial anatomy.

Selective coronary arteriograms of 125 patients with normal coronary arteries were reviewed to establish the caliber and distribution of normal coronary arterial anatomy. Measurements established the following normal values for coronary arterial caliber in right (R), (M), and left (L) inferior emphasis systems expressed in mm (+/-SEM): (See article). Significant differences in the caliber of right coronary arterial systems and left circumflex coronary arterial systems validate the separation of coronary arterial anatomy into right, mixed, and left inferior emphasis systems, depending upon the blood supply to the inferior wall of the left ventricle. Classification of the anatomical pattern into right, mixed, and left inferior emphasis systems is useful in the cardiac catheterization laboratory at the time of selective coronary arteriography. If the expected distribution of the coronary vessels is not found, then missing vessels must be sought out. A knowledge of the range of normal size for the coronary arterial tree should be of value in defining the severity of coronary arterial narrowing.

Arteries↗

A proposed method to evaluate brain stem auditory evoked potential amplitude: pilot study.

The distribution and variability of brain stem auditory evoked potentials (BAEP) were studied in 30 guinea pigs under controlled conditions. Coefficient of variation showed amplitude variables to have a greater intersubject variability than latency variables. However, amplitude variables were not found to be normally distributed. Therefore, evaluation of amplitude variables using statistics which assume that the underlying data are normally distributed can be misleading. One must either transform the data so they fit a normal distribution or use statistical methods that do not depend on a normal distribution. A nonparametric analysis study on amplitude variables in humans in recommended to update its clinical applicability.

Animals↗

Distribution of normal T lymphocytes in tumor-bearing rats.

Changes in distribution properties of T lymphocytes from lymphoid organs of normal rats 3H-uridine labeled in vitro and i. v. injected to tumor-bearing recipients were studied at different stages of tumor growth and rejection. Comparisons were made with T cell migration from normal donors to syngeneic recipients. A temporary decrease in the ability of normal spleen T lymphocytes to migrate into the spleen of tumor-bearing recipients at early stages of tumor growth was in correlation with their enhancement in trapping by the liver of this recipient. At this stage the migrations into tumor-draining lymph nodes and peripheral blood were rather pronounced. The growing tumor evoked an increased migration rate of donor spleen cells into each of the recipient organs studied except for liver. Tumor rejection potentiated the distribution mainly in the draining lymph node and liver. Normal lymph node T lymphocytes migrated at the beginning of tumor growth into spleen, node and liver of tumor-bearing recipients. A sharp decrease of distribution in spleen at the time of maximum tumor growth was compensated by an enhanced migration into draining nodes, peripheral blood and liver. This enhancement was seen also during tumor rejection. Distribution of normal blood T lymphocytes into spleen and peripheral blood of tumor-bearing recipients was equal to normal values. There was only a transitional reduction in their migration rates into draining nodes caused by tumor growth. Migration rates of thymocytes in tumor-bearing recipients remained unaltered. The results presented indicate that the distribution pattern of i. v. injected labeled T lymphocytes from normal donors into lymphoid organs of tumor-bearing recipients was determined by changes in the immune status of the recipients brought about by tumor development.

Animals↗

Aspects of line-fitting in bivariate allometric analyses.

One of the fundamental problems involved in analyses of the scaling effects of body size (allometric analysis is the choice of an appropriate best-fit line in bivariate logarithmic plots. Following a discussion of some basic aspects of allometric analysis, the tow mai procedures for the determination of a best-fit line - the least-squares regression and the major axis - are examined with respect to their different properties and underlying models. It is important to distinguish intraspecific from interspecific scaling and to recognize the distinction between use of a best-fit line to define a relationship and use of the line for prediction. An alternative model to the bivariate normal distribution, referred to as the 'extruded normal distribution', is presented and its implications are examined with respect to two test cases (scaling of basal metabolic rate in human males; scaling of population density in mammals).

Animals↗

Determination of reference intervals for 10 serum proteins measured by rate nephelometry, taking into consideration different sample groups and different distribution functions.

Reference intervals were established for 10 serum proteins (IgA, IgG, IgM, transferrin, haptoglobin, complement C3, complement C4, alpha 1-acid-glycoprotein, alpha 1-antitrypsin, alpha 2-macroglobulin) measured by rate nephelometry. The reference individuals - 200 blood donors - were divided into 5 subgroups: men aged 19-39 and 40-60 years, women aged 19-39 and 40-60 years and women aged 19-48 years using oral contraceptives. Where possible, two or more subgroups were combined to give reference sample groups. Criteria for this procedure are given. The reference limits of the sample groups were estimated by parametric methods. Assuming that for a specified serum protein the type of distribution is the same in each subgroup, the data were standardized with estimated group specific parameter values and combined into one big sample. This permitted an improved determination of the underlying type of distribution. As a possible form of distribution we also considered the normal distribution truncated on the left side at c greater than or equal to 0. In some cases, after determination of an optimal c, this unusual distribution fitted the data significantly better than the generally used normal or log-normal distribution.

Adult↗

An investigation of the distribution of the protein content of samples of corn, meat and bone meal, and soybean meal.

This study examines the critical assumption of a normal distribution for protein content in feedstuffs. Data were collected from broiler feed mills on the nutrient content of corn, meat and bone meal, and soybean meal. Tests of normality for protein within each feedstuff were performed by each of two methods: 1) the Shapiro-Wilk test (n < 50) or Kolmogorov-Smirnov test (n > 50); and 2) the D'Agostino-Pearson K2 test. Results indicate that protein is non-normally distributed in corn and in meat and bone meal, but protein is normally distributed in soybean meal.

Animal Feed↗

The genetic and environmental sources of body mass index variability: the Muscatine Ponderosity Family Study.

The role of genetic and environmental factors in determining the variability in body mass index (BMI; kg/m2) was investigated in 1,302 relatives identified through 284 schoolchildren from Muscatine, IA. BMI levels were first adjusted for variability in age, by gender and by relative type. There was significant familial aggregation of adjusted BMI in the pedigrees, as indicated by inter- and intraclass correlation coefficients significantly different from zero. A mixture of two normal distributions fit the adjusted BMI data better than did a single normal distribution. Genetic and environmental models that could explain both the familial aggregation and the mixture of normal distributions were investigated using complex segregation analysis. There was strong support for a single recessive locus with a major effect that accounted for almost 35% of the adjusted variation in BMI. Polygenic loci accounted for an additional 42% of the variation. Approximately 23% of the adjusted variation was not explained by genetic factors. For spouses living in the same household, their shared environment accounted for 12% of their variation. For siblings living in the same household, their shared environment accounted for 10% of their variation. While shared environments contributed to variation in adjusted BMI, more than 75% of the variation was explained by genetic factors that include a single recessive locus. Approximately 6% of the individuals in the population from which these pedigrees were sampled are predicted to have two copies of the recessive gene, while 37% of the individuals are predicted to have one copy of the gene.

Adolescent↗

Brownian Coagulation of Fractal Agglomerates: Analytical Solution Using the Log-Normal Size Distribution Assumption.

An analytical solution to Brownian coagulation of fractal agglomerates in the continuum regime that provides time evolution of the particle size distribution is presented. The theoretical analysis is based on representation of the size distribution of coagulating agglomerates with a time-dependent log-normal size distribution function and employs the method of moments together with suitable simplifications. The results are found in the form that extends the spherical particle solution previously obtained by K. W. Lee (J. Colloid Interface Sci. 92, 315-325 (1983)). The results show that the mass fractal dimension has a significant effect on the size distribution evolution during coagulation. When the obtained solution was compared with numerical results, good agreement was found. The self-preserving size distribution of nonspherical agglomerates is discussed. Copyright 2000 Academic Press.

Journal Article↗