Calculation of Normal Ranges by Methods Used for Resolution of Overlapping Gaussian Distributions

1970 ◽  
Vol 16 (2) ◽  
pp. 124-128 ◽  
Author(s):  
E Melvin Gindler

Abstract Distribution of a quantity, e.g., concentration of a serum constituent, in a typical general hospital population is considered. It is assumed that the distribution within any subpopulation is Gaussian and that adjacent subpopulations overlap somewhat, presenting overlapping Gaussian distributions. Bhattacharya’s procedure for resolving such overlapping distributions, based upon differentiation of the Gaussian distribution equation, is applied to the determination of the apparent normal range as well as, in some cases, an abnormal range. Gaussian probability paper is used for estimating the normal range and the conditions discussed under which this method may be expected to give a valid estimate. Use of the chi-square test to evaluate the long-term constancy of clinical laboratory data distribution, normal and abnormal, is also considered.

1979 ◽  
Vol 25 (12) ◽  
pp. 2011-2014 ◽  
Author(s):  
J Y Tsay ◽  
I W Chen ◽  
H R Maxon ◽  
L Heminger

Abstract Determination of normal ranges from laboratory data containing undectable values is a frequently encountered problem in the radioimmunoassay of peptide hormones. In the past, such determinations usually have been based on the mid-point method or the one-end Winsorized method. A graphic method involving the use of probability paper has also been reported. We propose that the maximum-likelihood estimation is a more appropriate statistical method for the determination of normal range from this type of data (Type I censored data). With this method, the mean and standard deviation, and hence the tolerance limits, can be estimated. We used the maximum-likelihood estimation method to determine the normal range of serum thyrotropin values obtained from 93 healthy subjects, based on a log normal distribution. Although the serum thyrotropin content was undetectable in 14% of the subjects, a normal range could be calculated. Using tolerance limits for 95% coverage of the population with 90% confidence, we calculated the normal range of thyrotropin to be 0.51-5.75 milliunits/L, with a mean value of 1.71 milliunits/L, and predicted that 91.4% of undetectable serum thyrotropin values will fall within the normal range.


1968 ◽  
Vol 14 (10) ◽  
pp. 979-988 ◽  
Author(s):  
George J Neumann

Abstract A method is described which is potentially capable of closely estimating the normal range from laboratory data. The estimation is made on probability paper using a purposely truncated form of the "normal" distribution. A fictitious set of data has been used to illustrate the efficiency of estimation of normals. The method has been used to estimate the normal range of blood urea.


2021 ◽  
Vol 19 (1) ◽  
Author(s):  
Marco Cattalini ◽  
◽  
Sara Della Paolera ◽  
Fiammetta Zunica ◽  
Claudia Bracaglia ◽  
...  

Abstract Background There is mounting evidence on the existence of a Pediatric Inflammatory Multisystem Syndrome-temporally associated to SARS-CoV-2 infection (PIMS-TS), sharing similarities with Kawasaki Disease (KD). The main outcome of the study were to better characterize the clinical features and the treatment response of PIMS-TS and to explore its relationship with KD determining whether KD and PIMS are two distinct entities. Methods The Rheumatology Study Group of the Italian Pediatric Society launched a survey to enroll patients diagnosed with KD (Kawasaki Disease Group – KDG) or KD-like (Kawacovid Group - KCG) disease between February 1st 2020, and May 31st 2020. Demographic, clinical, laboratory data, treatment information, and patients’ outcome were collected in an online anonymized database (RedCAP®). Relationship between clinical presentation and SARS-CoV-2 infection was also taken into account. Moreover, clinical characteristics of KDG during SARS-CoV-2 epidemic (KDG-CoV2) were compared to Kawasaki Disease patients (KDG-Historical) seen in three different Italian tertiary pediatric hospitals (Institute for Maternal and Child Health, IRCCS “Burlo Garofolo”, Trieste; AOU Meyer, Florence; IRCCS Istituto Giannina Gaslini, Genoa) from January 1st 2000 to December 31st 2019. Chi square test or exact Fisher test and non-parametric Wilcoxon Mann-Whitney test were used to study differences between two groups. Results One-hundred-forty-nine cases were enrolled, (96 KDG and 53 KCG). KCG children were significantly older and presented more frequently from gastrointestinal and respiratory involvement. Cardiac involvement was more common in KCG, with 60,4% of patients with myocarditis. 37,8% of patients among KCG presented hypotension/non-cardiogenic shock. Coronary artery abnormalities (CAA) were more common in the KDG. The risk of ICU admission were higher in KCG. Lymphopenia, higher CRP levels, elevated ferritin and troponin-T characterized KCG. KDG received more frequently immunoglobulins (IVIG) and acetylsalicylic acid (ASA) (81,3% vs 66%; p = 0.04 and 71,9% vs 43,4%; p = 0.001 respectively) as KCG more often received glucocorticoids (56,6% vs 14,6%; p < 0.0001). SARS-CoV-2 assay more often resulted positive in KCG than in KDG (75,5% vs 20%; p < 0.0001). Short-term follow data showed minor complications. Comparing KDG with a KD-Historical Italian cohort (598 patients), no statistical difference was found in terms of clinical manifestations and laboratory data. Conclusion Our study suggests that SARS-CoV-2 infection might determine two distinct inflammatory diseases in children: KD and PIMS-TS. Older age at onset and clinical peculiarities like the occurrence of myocarditis characterize this multi-inflammatory syndrome. Our patients had an optimal response to treatments and a good outcome, with few complications and no deaths.


2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Víctor O. Costa ◽  
Eveline M. Nicolini ◽  
Bruna M. A. da Costa ◽  
Fabrício M. Teixeira ◽  
Júlia P. Ferreira ◽  
...  

This study aims to assess the risk of severe forms of COVID-19, based on clinical, laboratory, and imaging markers in patients initially admitted to the ward. This is a retrospective observational study, with data from electronic medical records of inpatients, with laboratory confirmation of COVID-19, between March and September 2020, in a hospital from Juiz de Fora-MG, Brazil. Participants (n = 74) were separated into two groups by clinical evolution: those who remained in the ward and those who progressed to the ICU. Mann–Whitney U test was taken for continuous variables and the chi-square test or Fisher’s exact test for categorical variables. Comparing the proposed groups, lower values of lymphocytes ( p  = <0.001) and increases in serum creatinine ( p  = 0.009), LDH ( p  = 0.057), troponin ( p  = 0.018), IL-6 ( p  = 0.053), complement C4 ( p  = 0.040), and CRP ( p  = 0.053) showed significant differences or statistical tendency for clinical deterioration. The average age of the groups was 47.9 ± 16.5 and 66.5 ± 7.3 years ( p  = 0.001). Hypertension ( p  = 0.064), heart disease ( p  = 0.048), and COPD ( p  = 0.039) were more linked to ICU admission, as well as the presence of tachypnea on admission ( p  = 0.051). Ground-glass involvement >25% of the lung parenchyma or pleural effusion on chest CT showed association with evolution to ICU ( p  = 0.027), as well as bilateral opacifications ( p  = 0.030) when compared to unilateral ones. Laboratory, clinical, and imaging markers may have significant relation with worse outcomes and the need for intensive treatment, being helpful as predictive factors.


2020 ◽  
Vol 60 (3) ◽  
pp. 182-187 ◽  
Author(s):  
Neeti Kapoor ◽  
Swati Dubey Mishra ◽  
Ashish Badiye

In fingerprint analysis, the determination of hand (right or left) is one of the keys to resolving questions regarding the identity of the donor of the print. It is rare to encounter a complete set of 10-digit fingerprints from the scene of a crime. Although vital and imperative, except for a few studies on whorl patterns, the use of single-digit prints and patterns to ascertain the hand of the donor is scarcely reported in the literature. This research describes a novel approach whereby an analysis of twinned loops was carried out to identify the various parameters that may be helpful in ascertaining the hand of the donor. Bilateral rolled fingerprints from 180 healthy consenting adults belonging to a heterogeneous population of central India were collected. Out of the total of 1800 prints taken, 100 twinned loops (50 on the right hand and 50 on the left hand) were analysed. The following six parameters were considered: the slope of the flow of the apex ridges, the distance between the left delta and the ascending core, the distance between the right delta and the ascending core, mid-core position, the position of the loop and ridge tracing. On applying the chi-square test, the results were found to be statistically significant. Therefore, these parameters were found suitable for the determination of the hand from a single twinned-loop print.


2017 ◽  
Vol 5 ◽  
pp. 44-55
Author(s):  
Nabin Bahadur Adhikari

Change is indispensible for the survival of the firm. Managing change become more challenging when it includes massive human involvement. This research paper aims to investigate employee commitment towards organization and own career during the merger. For this hypothesis were set to test under some constraints. The study applied empirical approach in which a survey questionnaire was used to collect quantitative data and other statistical techniques like Chi square test, Pearson correlation was applied and conclude that there is no effect of age factor in the determination of employee commitment towards the organization. Moreover the employee commitment towards their career has relative influence to employee commitment towards organization.Janapriya Journal of Interdisciplinary Studies, Vol. 5 (December 2016), page: 44-55


2018 ◽  
Vol 55 (3) ◽  
pp. 359-370
Author(s):  
G. CONCENÇO ◽  
A. ANDRES ◽  
F. SCHREIBER ◽  
I. S. MOISINHO ◽  
M. C. CORADINI ◽  
...  

SUMMARYWe aimed to assess the potential of the characterization of association among weed species as a tool to understand weed occurrence for further supporting long-term management programs. After a sequence of summer crops, which included irrigated rice and sorghum, the experimental area was submitted to subsoiling, limestone was applied, and ryegrass was planted in the winter season. Six months later, an ACCase-inhibitor herbicide was used to select only non-grassweed species. Field survey was carried out on 100 quadrats with 0.5-m width that were randomly sampled. Plant species were organized in 2 × 2 contingency tables. The results of the calculated chi-squares were compared to the respective tables, and results were presented as a paired chi-square matrix. The species–area curve was also obtained. The relative occurrence of species was determined by its frequency and presented as a wordcloud. The network analysis was obtained by using the Fruchterman–Reingold layout. The hypothesis of plant association aiming survival in arable fields was validated. The methodology of plant association based on the chi-square test was applicable to arable fields, where weed species (usually competitor plant types) occur in clusters. From a practical point of view, preference should be given to herbicides that are efficient on most species within a given cluster.


2019 ◽  
Vol 7 (1) ◽  
Author(s):  
Ni Made Wahyuni Dewi ◽  
Nila Wahyuni ◽  
Luh Putu Ratna Sundari

Non-specific neck pain is a neck pain caused by bad posture in the long term. Laundry workers who everyday often perform activities ironing for a long time at risk of non-specific neck pain due to working position that are not ergonomic. The purpose of this research is to determine the relation between working position with non-specific neck pain on laundry worker in Denpasar City. This research is cross sectional analytic research with purposive sampling. The number of sample is 60 workers with the range of age 20-40 years. Independent variable measured is working position with RULA method, while the dependent variable measured is non-specific neck pain with Neck Disability Index Questionnaire. Hypothesis test used is Chi-Square Test. The resulted of Chi-Square Test on working position with non-specific neck pain variable shown the result of p value is 0,00 or p < 0,05. Based on the results of this study it can be concluded that found a significant relationship between working position against non-specific neck pain on laundry worker in Denpasar City. Keywords: Working Position, Non-Specific Neck Pain, Laundry Worker.


1960 ◽  
Vol 6 (6) ◽  
pp. 564-571 ◽  
Author(s):  
Donald A Sones ◽  
Warren F McGuckin ◽  
Khalil G Wakim

Abstract Our experiences with the automatic titration method of quantitating serum calcium and magnesium are presented. In addition, modifications of the original procedure to allow determination of intraerythrocyte concentrations of magnesium are described. It appears that adoption of a separate magnesium standard in addition to the calcium standard, plus certain other minor modifications designed to minimize the variables inherent in the procedure, provides a significant increase in accuracy and reproducibility of results. Values for intraerythrocyte magnesium concentration in 9 normal dogs were found to range from 4.69 to 5.77 mg./100 ml. Values for 4 dogs that received long-term administration of chlorothiazide also fell within this normal range.


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