American Journal of Theoretical and Applied Statistics

Volume 11, Issue 1, January 2022

  • Outlier Detection Technique for Univariate Normal Datasets

    Ooko Silas Owuor, Troon John Benedict, Otieno Okumu Kevin

    Issue: Volume 11, Issue 1, January 2022
    Pages: 1-12
    Received: 19 December 2021
    Accepted: 8 January 2022
    Published: 21 January 2022
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    Abstract: This paper presents an outlier detection technique for univariate normal datasets. Outliers are observations that lips an abnormal distance from the mean. Outlier detection is a useful technique in such areas as fraud detection, financial analysis, health monitoring and Statistical modelling. Many recent approaches detect outliers according to reas... Show More
  • The Determination of Sample Size in a Bayesian Estimation of Population Proportions: How and Why to Do It in a Regression Framework

    R. A. Weitzman

    Issue: Volume 11, Issue 1, January 2022
    Pages: 13-18
    Received: 28 December 2021
    Accepted: 17 January 2022
    Published: 21 January 2022
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    Abstract: Principally to reduce the cost by reducing the sample size required to conduct survey research, this article presents and illustrates the use of a method to determine the sample sizes required to obtain Bayesian estimates of population proportions with specified margins of error. The development proceeds within a regression framework derived from m... Show More
  • Control Chart and Its Applicationin Modelling Body Mass Index (BMI) of Students in Delta State Polytechnic, Oghara

    Akpojaro Ogheneochuko Owens, Agbogidi Bess Rioborue

    Issue: Volume 11, Issue 1, January 2022
    Pages: 19-26
    Received: 2 December 2021
    Accepted: 7 January 2022
    Published: 25 January 2022
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    Abstract: This study aimed to examine the health status of students as a function of the body mass index (BMI) using control chart. The utility of body mass index has proven very useful in helping managers to estimate the weight normality of individuals as a measure of healthy living among them. This study evaluated the reported BMI of students and problems ... Show More
  • On the Coefficient of Determination Ratio for Detecting Influential Outliers in Linear Regression Analysis

    Arimiyaw Zakaria, Benony Kwaku Gordor, Bismark Kwao Nkansah

    Issue: Volume 11, Issue 1, January 2022
    Pages: 27-35
    Received: 1 January 2022
    Accepted: 26 January 2022
    Published: 9 February 2022
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    Abstract: The initial procedure of the Coefficient of Determination Ratio (CDR) for determining outliers in linear regression model is suggested for centred data and declares an observation as an outlier if the CDR value deviates from unity. Although the method performs very well and detects more precisely the requisite outliers than those observed by other ... Show More
  • Multivariate Analysis of a Sequence of Paired Data Matrices: Succesive and Simultaneous Approaches

    Rodnellin Onesime Malouata, Chedly Gélin Louzayadio, Bernédy Nel Messie Kodia Banzouzi

    Issue: Volume 11, Issue 1, January 2022
    Pages: 36-44
    Received: 20 August 2021
    Accepted: 7 September 2021
    Published: 14 February 2022
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    Abstract: The relationship between two data matrices has been studied in the interbattery factor analysis. When two data matrices are partitioned in rows, the relationship between two data matrices has been studied in the STATICO method. The main advantage of this method is the optimality of the compromise of co-structures. It is well known that the weightin... Show More
  • Minimum Number of Replications for Tests in Four-Way ANOVA in Cross Classification and Split-Plot Design

    Rob Verdooren, Dieter Rasch

    Issue: Volume 11, Issue 1, January 2022
    Pages: 45-57
    Received: 17 January 2022
    Accepted: 9 February 2022
    Published: 25 February 2022
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    Abstract: In statistical books for the analysis of designed experiments one can finds sometimes also the computation of the number of replications for balanced one-factor and two-factors designs. Later there were papers published concerning the computation of the number of replications of at most three-factors crossed or nested balanced designs. In 2011 the ... Show More