Improved non-parametric statistical methods for the estimation of Michaelis-Menten kinetic parameters by the direct linear plot

W R Porter; W F Trager

doi:10.1042/bj1610293

Improved non-parametric statistical methods for the estimation of Michaelis-Menten kinetic parameters by the direct linear plot

Biochemical Journal ◽

10.1042/bj1610293 ◽

1977 ◽

Vol 161 (2) ◽

pp. 293-302 ◽

Cited By ~ 79

Author(s):

W R Porter ◽

W F Trager

Keyword(s):

Statistical Methods ◽

Data Fitting ◽

Confidence Limits ◽

Estimated Parameters ◽

Lower Confidence ◽

Proper Design ◽

Linear Plot ◽

Replicate Measurements ◽

Menten Kinetic ◽

Non Parametric

The theoretical basis for the direct linear plot [Eisenthal & Cornish-Bowden (1974) Biochem. J. 139, 715-720], a non-parametric statistical method for the analysis of data-fitting the Michaelis-Menten equation, was reinvestigated in order to accommodate additional experimental designs and to provide estimates of precision more directly comparable with those obtained by parametric statistical methods. Methods are given for calculating upper and lower confidence limits for the estimated parameters, for accommodating replicate measurements and for comparing the results of two separate experiments. Factors that influence the proper design of experiments are discussed.

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Non-parametric Bootstrap Confidence Limits for Age-Dependent Failure Tendency Using Incomplete Data

Lecture Notes in Mechanical Engineering - Proceedings of the 7th World Congress on Engineering Asset Management (WCEAM 2012) ◽

10.1007/978-3-319-06966-1_26 ◽

2014 ◽

pp. 277-286 ◽

Cited By ~ 1

Author(s):

Per-Erik Hagmark ◽

Jouko Laitinen

Keyword(s):

Incomplete Data ◽

Parametric Bootstrap ◽

Confidence Limits ◽

Age Dependent ◽

Dependent Failure ◽

Non Parametric

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Use of Statistical Methods for Audit Purposes

Statistics of Ukraine ◽

10.31767/su.1(76).2017.01.05 ◽

2017 ◽

pp. 36-39

Author(s):

Т. О. Kamenska

Keyword(s):

Statistical Methods ◽

Sequential Analysis ◽

Computer Software ◽

Causal Link ◽

Random Numbers ◽

Population Parameters ◽

Estimated Parameters ◽

Sample Representativeness ◽

Statistical Sample

The issue related with use of statistical methods in practical work of auditors, for sample studies purposes, is discussed. Detailed description of one method, the method of sequential analysis, is given. It is demonstrated that the required conditions for use of the sequential statistical sample is homogeneity of the population elements and the sample representativeness. Recommendations on defining the homogeneity and number of elements in a sample are given. To assure high quality of a sample study, an auditor needs to set the value of reliability or trust, characterizing the level of requirements to the accuracy of the obtained results which are the input for estimating the distortion and the size of population. The risk of sample as a factor affecting the reliability is described, their causal link is highlighted. The elements are sampled by use of the table of random numbers or computer software. Results of tests of sampled elements and estimated parameters of the population are presented in table and graph forms. Results of tests of each population element are estimated by an auditor, with the distortion of the sum of the sample elements taken as the benchmark. Formulae for computation of the required indexes are given, used at each phase of the study. The algorithm for use of the sequential statistical sample in audit for document verification procedures, and the algorithm for estimating the population parameters by the results of a sample study are shown.

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Non-Parametric Anova Methods Applied on Students' Performance Development in Course of Statistics

Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis ◽

10.11118/actaun202068010281 ◽

2020 ◽

Vol 68 (1) ◽

pp. 281-289 ◽

Cited By ~ 1

Author(s):

Martina Zámková ◽

Martin Prokop ◽

Radek Stolín

Keyword(s):

Statistical Methods ◽

Statistics Education ◽

Ordinal Scale ◽

Mean Values ◽

Travel And Tourism ◽

Equality Of Means ◽

Two Samples ◽

Performance Development ◽

Management Students ◽

Non Parametric

This study intends to use non-parametric statistical methods for comparison of mean values in assessing the changes of overall grades in basic statistics at the College of Polytechnics in Jihlava. The data covering students' grades were transferred to the ordinal scale and evaluated with the use of the corresponding non-parametric statistical methods, due to failing the data normality test. In order to identify statistically significant grade differences over the years 2006–2018, we have used the test of equality of means as well as the relevant analyses of variance, i.e. the Mann-Whitney U test to compare two samples, the Kruskal-Wallis test to compare multiple samples, and the post hoc analysis. All tests that were carried out confirm that on average, women and Finance and Management students tend to achieve better grades in statistics, as opposed to men, and Travel and Tourism students. Mean grades have rather fluctuated over the years. In the beginning (2006–2009) and in the end (2014–2017) of the observed period the grades have been significantly superior to the grades in the in-between stage (2010–2013). The identified fluctuation in grades shall lead to implementation of measures aimed at achieving an overall increase in statistics' education quality and students' grades.

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