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PubMed1975

Population distribution of Frank-vectorcardiographic measurements of healthy Japanese men.

For elucidation of the type of population distribution of Frank-vectorcardiographic items of normal Japanese population, forty-eight measurements were obtained from 364 healthy Japanese men in the fourth decade. These measurements were studied with Fisher's g test of normality of population distribution, which showed that normal population distribution could be assumed in only six items (12.5%)-the maximal QRS vector angle and the directional QRS-T angle in the frontal plane, RX and TZ height, OZ duration, and anteorior accession time. The frontal maximal T vector angle was regarded to have an approximately normal population distribution. In the remaining forty-one items logarithmic normalization of distribution was attempted with a transformation formula, Y=Log10 (kX+c). Being applied to Y's, the variate logarithm-transformed with an appropriate value of c, Fisher's g test accepted the null hypothesis of normality of population distribution in 27 items (56.3%); in other words, the population distribution of 27 items was lognormal. These included the magnitudes of maximal QRS and T vectors and T/QRS ratios in the three projection planes, and some of vector angles. The population distribution was usually lognormal in scalar amplitudes and ratios except for items related to Q and S waves in leads X and Y. Bimodality of distribution was seen in six items (12.5%), which consisted of the maximal QRS vector angle and the QRS-T angles in the horizontal and left sagittal planes. In these planes the maximal QRS vector and the directional QRS-T angles showed biomodality attributed to combination of two normal distributions. Three of the four QRS-T angles in these planes and also the horizontal maximal QRS vector angle were lognormalized, although a lesser degree of bimodality still remained after seemingly successful logarithmic transformation in respect to the tg statistics. Chi-square test accepted the null hypothesis of exponential population distribution in four items (8.4%), which included the depth of QX, SX, and SY, and S/(S+R) ratio in lead Y. Exponential approximation appeared much better than normal one in the rest of measurements related to Q and S waves in leads X and Y. The following conclusions were drawn from the present study: i) statistical tests based on normal population distribution should be carefully applied to Frank-vectorcardiographic measurements of healthy Japanese men in the fourth decade and, presumably, of healthy Japanese adults regardless of age and sex; and ii) logarithmic transformation is an efficient means to normalize a skewed distribution in the majority of measurements.

Adult↗

PubMed1975

Introversion-extraversion and psychiatric diagnoses: a test of Eysenck's hypothesis.

Eysenck has stated that dysthymics were introverted and psychopaths were extraverted This study tested this hypothesis. The Ss were 28 male and 7 female inpatients from a state mental hospital. Twenty were diagnosed as neurotics, 15 as psychopaths. The sample was divided into extravert-introvert groups on the basis of scores on the Meyers-Briggs Type Indicator. Chi-square analysis revealed no significant differences in patient distribution by type and diagnosis. It was concluded that extraversion-introversion scores would not aid in the diagnosis of neurosis or psychopathy.

Adolescent↗

PubMed1975

A consideration of the chi-square test of Hardy--Weinberg equilibrium in a non-multinomial situation.

The multinomial Dirichlet distribution was used to study the effect of correlation between observations in a sample on the frequency of rejection of the Hardy--Weinberg Law when in fact it was true in the population being sampled. It was shown that the usual X2 goodness-of-fit test of Hardy--Weinberg is very sensitive to non-multinomial sampling. In view of the lack of statistical power of the test to detect deviations due to in breeding, it is likely that whenever H--W is rejected using samples of size 100 or less, the underlying causation is sample correlation rather than failure of the H--W law to be true. Related to these findings is, of course, the effect of pooling heterogeneous frequencies or, in the case of contingency tables, Simpson's paradox (see Simpson, 1951).

Gene Frequency↗

PubMed2026

Low Prevalence of the HBB c.20A > T (HbS) Allele in a Turkish Cypriot Cohort: A Molecular Screening Study.

Sickle cell disease is caused by the HBB c.20A > T (p.Glu6Val; HbS) variant. Although Cyprus has a long-standing hemoglobinopathy prevention program, current population-specific data on HbS among Turkish Cypriots remain limited. Two hundred unrelated Turkish Cypriot adults were included. The HBB c.20A > T variant was genotyped by PCR-RFLP and confirmed by allele-specific real-time PCR. Genotype distribution was evaluated for Hardy-Weinberg equilibrium. No homozygous HbS genotype was detected. Three individuals were heterozygous carriers (AS), corresponding to a carrier frequency of 1.5%. The HbS allele frequency was 0.7%, and the genotype distribution was consistent with Hardy-Weinberg equilibrium (p = 0.916; chi-square = 0.011). HbS was uncommon in this Turkish Cypriot cohort. These findings support continued hemoglobinopathy surveillance and the integration of HbS counseling into existing premarital and population screening strategies, particularly as migration may alter local carrier frequencies over time.

Humans↗

PubMed1975

Stochastic model of contractions at a point in the duodenum.

Contractions at one point in the human duodenum were studied as a time series. Manometric records were made over long time periods from the duodenum in fed human subjects. A 5-s grid was superimposed on the time axis of the records. Each 5-s interval was treated as a slow-wave cycle within which either a contraction or a no-contraction could occur. The resulting series of alternating runs of contractions and no-contractions was tested for the existence of trends. Trends were found indicating possible temporal dependence. A Markov-type model was used to try to generate data similar to the real data. Success was achieved by a model that assumed a probability of contraction dependent on the three previous slow-wave cycles. The frequency distributions obtained from the real and generated data were compared using Chi-square goodness-of-fit tests and found to be statistically similar. The correlations in time found for the contractions might be due to a time dependency in the controls for contraction over four successive slow-wave periods, 20 s in humans.

Animals↗

PubMed1977

Joint Committee on Aviation Pathology: XVIII. Correlation of occurrence of aircraft accidents with biorhythmic criticality and cycle phase in U.S. Air Force, U.S. Army, and civil aviation pilots.

The correlation of occurrence of aircraft accidents to critical and negative phases of the biorhythm cycles was investigated. Data from 880 U.S. Air Force pilot-involved accident cases were studied and added to 4,279 previously reported cases. The data were tested by chi-square analysis under the null hypothesis that there is no effect of biorhythm on aviation accidents. Under this hypothesis, the expected number of accidents occurring on critical days should be 179.13 for the U.S. Air Force; there were 179. In analyzing the effect of biorhythmic criticality for pilot-involved cases from all sources, there were were 300 individual chi-square values computed. The frequency of these values by their percentile distribution so closely matched the theoretical distribution that there was no evidence whatsoever to indicate an effect of biorhythmic criticality. There no correlation between multiply negative or individually negative phases of the biorhythm cycles and aircraft accidents in the U.S. Air Force or in the combined pilot-involved accident group.

Accidents, Aviation↗

PubMed1976

Distribution of survival times of 12,000 head and neck cancer patients who died with their disease.

The lognormal parametric statistical model can provide, for groups of carcinoma cervix patients, good estimates of long-term survival fractions several years earlier than would otherwise be possible. The present paper extends this model work to head and neck cancer by using a minimum chi-squared test for goodness of fit (P greater than 0-05), to study the distribution of survival times of patients who died with their cancer present. Some 12,000 case histories were available from 7 hospital registries, 4 regional cancer registries and one national registry (the OPCS). All histories were followed up for at least 10 years subsequent to treatment and could be grouped into one of 8 cancer sites: antrum, floor of mouth, larynx, nasopharynx, pyriform fossa, post cricoid, tonsil and tongue. The theoretical distributions investigated were the lognormal, negative exponential and skew exponential. The results showed that the lognormal provided the best overall fit to the data, although the range of optimum values for the lognormal parameter, S, differed with cancer site. The optimum range did, however, usually include the value S=0-45. These results will now permit the second stage of validation of the lognormal model to proceed for head and neck cancers.

England↗

PubMed1977

Nonparametric percentile estimate of clinical normal ranges.

In this study, the nonparametric percentile estimate (PE), a statistical procedure requiring no previous assumption regarding the distribution of the underlying population, was used to determine adult normal limits for fasting plasma glucose, serum alkaline phosphatase, and urine amylase. Comparisons to the gaussian distribution were performed with histograms, symmetry calculations, plots on probability paper, and the chi-square test. The nonparametric and traditional PEs agreed perfectly when the glucose data fit the gaussian and log-gaussian curves. The nonparametric PE varied from the gaussian PE but was identical to the log-gaussian PE when the alkaline phosphatase activities followed the log-gaussian form. It differed sharply from the gaussian PE and was similar to the log-gaussian PE when the amylase values did not follow either the gaussian or log-gaussian model. The non-parametric PE was as efficient as its gaussian theory competitors when the assumed distributions were correct and, in most instances, was more accurate when the assumed distributions were incorrect.

Adolescent↗

PubMed1976

[Individual variations in the frequency of chromosome aberrations following exposure to chemical mutagens. II. Interindividual variation in the frequency of chromosome aberrations in the presence of different mutagen concentrations].

The object of this investigation was the distribution of human periferal blood cultured obtained from different donors with respect to their sensitivity to different concentrations of thiophosphamide (10, 20 and 30 mcg/ml for 1 hour). Two test characteristics were studied, "the proportion of aberrant metaphases" and "the number of chromosome breaks per 100 cells". It is shown that the distribution of individuals does not depend on the mutagen concentration, being normal in all the series of experiments. The same results were obtained when two different statistical methods were used, viz. the method of four moments and the chi-square test. Since the former method is less labour-consuming, the authors recommend it for fitting the normal distribution in cytogenetic investigations. The variances of the test-characteristics studies ("percent aberrant metaphases" and "total number of breaks per 100 cells") increased with the increase of the mean values. Therefore, before the analysis of variance and the regression analysis the cytogenetic data should be preliminary transformed for the purpose of stabilization of variances.

Chromosome Aberrations↗

PubMed1977

Temporal patterns, their distribution and redundancy in trains of spontaneous neuronal spike intervals of the feline hippocampus studied with a non-parametric technique.

A modification of the non-parametric technique for the analysis of temporal patterns in long trains of single neuronal spike intervals has been described and tested empiracally. The technique is based on inequality testing of sequential pairs of intervals. If the second interval in a pair is longer or shorter than or equal to the first interval, a(+), a(-), and a (0) is recorded respectively in sequential bins of the computer memory. Subsequently, the long sequences of signs are arranged into transition frequency matrices which are then converted into transition probability matrices of various complexity. In this manner, the sign permutations composed of 4, 5, 6, etc. signs were studied. First of all, the theoretical distribution of various sign permutations was derived, assuming that the arrangement of intervals that generate the signs is totally independent. The theoretical distribution of signs permutations in tetragrams, pentagrams and hexagrams constitute the 'controls' with which the empirical data can be compared. In this manner, using the chi-square test, the total deviation of a studied neuronal output from an independent state can be quantified. The empirical data showed a consistent deviation from the theoretical distribution of sign permutations during REM sleep, as compared to slow wave sleep which was characterized by an almost perfect theoretical distribution of sign permutations. This indicates that slow wave sleep is associated with relaxation of constraints that are responsible for the emergence of specific patterns. In addition, redundancies in the occurrence of sign permutations, and the linear relationships between them, have been defined and tested empirically. The apparent discrepancies between the redundancies, based on theoretical symmetry in sign distribution and the linear redundancy that fits the empirical data, have been defined and discussed.

Action Potentials↗

PubMed1979

Perceptions of the school nurse's role.

This study identifies and compares perceptions of school personnel (principals, teachers, counselors and school nurses) about the nurse's role in secondary school settings. A two-art questionnaire was utilized. Part one elicited descriptive data, while part two consisted of 50 Likert-type items related to the school nurse's role. Mean perception scores on the 50 items were obtained by job category and compared using a one-way ANOVA. Chi-square analyses were performed on the frequencies of scale values to determine if their distributions, by item, were the same for all job categories. Correlation coefficients were utilized to determine relationships between training levels, experience, direct contact and perceptions. Analyses revealed: (1) Significant differences in perceptions of the school nurse's role between each group of educators and school nurses. (2) No significant relationship between training level, experience, number of contacts with the nurse and perceptions of the school nurse's role.

Administrative Personnel↗

PubMed2026

Three-Dimensional Fracture Mapping of the Terrible Triad of the Elbow: Morphological Characteristics and Clinical Implications.

BACKGROUND: The morphology of fractures in the terrible triad of the elbow (TTE) is complex, and precise management relies on a profound understanding of this morphology. This study aims to systematically analyze, for the first time, the distribution and morphological characteristics of TTE fracture lines using three-dimensional (3D) imaging technology. METHODS: Clinical data and thin-slice CT scans of 112 patients with TTE from January 2021 to December 2024 were retrospectively included. 3D fracture models were reconstructed using Mimics software. Virtual reduction and standardized alignment were performed using 3-matic software. Fracture lines were mapped onto standard ulnar and radial templates, and 3D fracture heat maps were generated using the E-3D software to demonstrate the high-frequency distribution zones of the fracture lines visually. Statistical analysis was performed using SPSS software (version 21.0, IBM Corp., Armonk, NY, USA). Continuous variables were compared using one-way analysis of variance (ANOVA), and categorical variables were compared using the chi-square test (χ2 test). A two-tailed p < 0.05 was considered statistically significant. RESULTS: The study revealed distinct patterns in the distribution of TTE fracture lines. In the coronoid process, the fracture "hot zone" presented as an annular high-density band extending from the lateral middle aspect to the tip. In the radial head, an oblique high-density band was observed in the anterolateral quadrant of the articular surface. The radial neck exhibited a circumferential high-density zone, which was most prominent in the anterolateral aspect. Statistical analysis indicated a significant correlation between age and fracture complexity; the proportion of Regan-Morrey type III coronoid fractures and Mason type III radial head fractures was significantly higher in elderly patients (> 60 years) (p < 0.05), suggesting that advanced age is a significant risk factor for complex fractures. CONCLUSION: This study is the first to visually reveal the Collaborative Distribution Patterns of TTE fracture lines using 3D fracture mapping technology. This model provides morphological evidence for understanding the injury mechanism of TTE and offers an anatomical framework that may assist surgeons in individualizing surgical approaches and fixation strategies.

Humans↗

PubMed2026

Distinct mutational landscapes for germline and somatic cancer variants in forty tumor suppressor genes.

Germline and somatic cancer variants in tumor suppressor genes (TSGs) share loss-of-function mechanisms, but studies of a few genes (DICER1 and CEBPA) have demonstrated differences in variant consequence and location. To systematically assess whether TSGs display distinct mutational patterns, we leveraged large public genetic databases and compared 32,941 high-quality pathogenic/likely pathogenic (P/LP) germline variants in ClinVar, with 12,907 oncogenic/likely oncogenic (O/LO) somatic tumor variants from cBioPortal across 40 TSGs. Only 3,863 (9.2%) variants were shared. Eighteen TSGs showed significantly different distributions of variant occurrences by molecular consequence, replicated with non-overlapping somatic data from the COSMIC database (chi-squared tests, false discovery rate = 5%). DICER1, TP53, and SMAD4 displayed excess somatic missense events, while nine TSGs (e.g., RB1 and APC) contained excess somatic stop-gain events throughout the coding sequence. Analysis by tumor type revealed excess stop-gain events in tissues exposed to environmental mutagens with corresponding mutation signatures. For several TSGs (WT1), germline variants predispose to tumors (Wilms' tumor) distinct from the majority source of somatic data (myeloid leukemia). Germline and somatic events are also distributed unevenly across cDNA locations, with 103 regions of preferential clustering in 39 TSGs (78 somatic and 25 germline). Twenty somatic clusters contained recurring frameshifts in homopolymer runs, many in tumors with microsatellite instability. Germline clusters contain more germline-exclusive variants, some driving non-cancer phenotypes reflecting genetic pleiotropy. Altogether, germline and somatic variants of TSGs represent unique sets with substantially different patterns shaped by selection pressures from gene-specific and somatic mutational mechanisms. Characterizing these distinctions enables more accurate clinical interpretation of TSG variants.

Humans↗

PubMed1977

Caries experience in orthodontically treated individuals.

The caries ecperience in 26 girls and 26 boys living on an island outside. Bergen, who had received orthodontic treatment with fixed appliances, was examined 1.5 to 2 years after the end of treatment. The children were then between 1l and 17 years old. The remaining children of the same age group, 58 girls and 53 boys, served as controls. The orthodontic patients had received repeated hygiene instructions during the treatment period and were expected to rinse their mouth with 0.05% sodium fluoride daily. The percentage distribution of DMF-surfaces indicated somewhat less caries experience in the treated group. A chi-square test showed significantly more intact surfaces on the maxillary first molars, second premolars, canines and central incisors, and mandibular molars and second premolars in treated than in untreated children, and also demonstrated significantly fewer new lesions in the upper second molars at the time of examination in the treated groups. A comparison of the caries experience of the different surfaces revealed significantly more intact surfaces in the treated group and significantly fewer new lesions on the mesial and distal surfaces in treated in untreated children at the time of examination.

Adolescent↗

PubMed1978

Use of the beta-binomial distribution in dominant-lethal testing for "weak mutagenic activity: part 2.

Experiments in Dominant-Lethal Testing have been simulated on the computer to estimate the type I error rates and the power of the Beta-Binomial test under various models. (1) The mating ratio is one; and p, the probability that an implant will die, is distributed over the couples. (2) The mating ratio is larger than one; and p is distributed over the males, the females mated to the same male being binomial observations of the value p supplied by the male. (3) The mating ratio is larger than one; and p is distributed over the females. The average rates of dead implants have been set at 0.08 and 0.10 for the control and treatment groups, respectively, and a nominal level of significance equal to 0.05 has been chosen. The type I error rate of the traditional chi-square test has also been estimated. A by-product of these simulations is the behaviour of the estimates alpha and beta of the beta-distribution parameters, which discloses that, in the actual experiments with mice, p is distributed over the females. Our results lead to the recommendations that, for a given number of animals per group, a mating ratio larger than one should be adopted and that the males should be considered as the experimental units for the calculations. With 300 and 450 animals per group, average powers of 0.72 and 0.85 are reached, respectively, for the chosen increment of 2% in the rate of dead implants. Under these models, the type I error rate of the traditional chi-square test may grow to 0.30 for the nominal level of 0.05.

Genes, Dominant↗

PubMed1979

Influence of a between-run component of variation, choice of control limits, and shape of error distribution on the performance characteristics of rules for internal quality control.

A computer-stimulation study has been performed to determine how the performance characteristics of quality-control rules are affected by the presence of a between-run component of variation, the choice of control limits (calculated from within-run vs. total standard deviations), and the shape of the error distribution. When a between-run standard deviation (Sb) exists and control limits are calculated from the total standard deviation (St, which includes Sb as well as the within-run standard deviation, Sw), there is generally a loss in ability to detect analytical disturbances or errors. With control limits calculated from Sw, there is generally an increase in the level of false rejections. The presence of non-gaussian error distribution appears to have considerably less effect. It can be recommended that random error be controlled by use of a chi-square or range-control rule, with control limits calculated from Sw. Optimal control of systematic errors is difficult when Sb exists. An effort should be made to reduce Sb, and this will lead to increased ability to detect analytical errors. When Sb is tolerated or accepted as part of the baseline state of operation for the analytical method, then further increases in the number of control observations will be necessary to achieve a given probability for error detection.

Chemistry, Clinical↗

PubMed1977

Is there an association between astrological data and personality?

A test was made of the hypothesis that personality characteristics can be predicted on the basis of various features of the individual's astrological chart. Astrological charts were prepared for 196 college-age Ss who also were administered the MMPI and the Leary Interpersonal Check List. Ss were divided into those who had extreme scores on any of the 13 personality variables studied and those who did not. For each personality variable, comparisons were made on a large number of astrological dimensions between distributions of Ss with and without extreme test scores. Six hundred thirty-two such comparisons were made and evaluated with chi-square tests. In that the obtained number of statistically significnat chi-squares was less than what would be expected on a chance basis, the hypothesis was rejected.

Astrology↗

PubMed1977

Evaluation of the non-randomness of protein compositions.

A method is described for assessing the non-randomness of protein compositions, based on the chi-squared statistic for the differences between the observed numbers of residues of each type and the numbers expected for a random distribution of codons. The analysis indicates that changes in at least 30% of the residues in natural proteins are selected against.

Amino Acids↗