An Analysis of Means in a Three-Way Factorial

Enrick, Norbert Lloyd

doi:10.1080/00224065.1976.11980745

Cited by 9 publications

(3 citation statements)

References 5 publications

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“…We are not taken any developed ANOM tables or techniques. Many authors worked on Analysis of means for different distributions some references are quoted such as: Rao (2005) [15], Ott(1967) and Enrick (1976) [4], Schilling (1979) [6], Ohta (1981) [11], Ramig (1983) [13], Bakir (1994) [8], Nelson and Dudewiczand Nelson (2002) [10], Farnum (2004) [5], Guirguis and Tobias (2004) [6],Srinivasa Rao B et.al. (2012) [17], Srinivasa Rao.…”

Section: Introductionmentioning

confidence: 99%

Extreme Value Charts and ANOM Based on Gumbel Distribution

Cheepuri

2022

IJMCR

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The quality is assessable by its feature is implicit with a probability model which follow Gumbel distribution. From each subgroups extreme values are used to construct extreme value charts and variable control charts. Probability model of the extreme order statistics and the size of each sub group are used in control chart constants. To find the decision lines of Gumbel distribution we implement a method of analysis of means (ANOM). The proposed ANOM decision lines are constructed for given number of subgroup within means category and between means category given by Ott (1967). These decision lines are illustrated by giving few examples.

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Section: Introductionmentioning

confidence: 99%

Extreme Value Charts and ANOM Based on Gumbel Distribution

Cheepuri

2022

IJMCR

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“…Resting upon basic ideas outlined by Halperin and colleagues Halperin et al (1955), Ott published his pioneering ANOM paper (Ott, 1967, reprinted in Ott (1983) in which he coined the phrase 'analysis of means'. Various extensions have been proposed since then, and ANOM has been adopted to match with a variety of experimental designs, randomization structures, and data types (e.g., Schilling, 1973a,b;Enrick, 1976;Subramani, 1992). Well-written and concise overviews of ANOM methodology are available e.g., Ramig's synopsis of applications Ramig (1983), Rao's review article Rao (2005), and the textbook by Nelson Nelson et al (2005).…”

Section: Introductionmentioning

confidence: 99%

Analysis of means: a generalized approach using R

Pallmann

Hothorn

2016

Journal of Applied Statistics

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Papers on the analysis of means (ANOM) have been circulating in the quality control literature for decades, routinely describing it as a statistical stand-alone concept. Therefore we clarify that ANOM should rather be regarded as a special case of a much more universal approach known as multiple contrast tests (MCTs). Perceiving ANOM as a grand-mean-type MCT paves the way for implementing it in the opensource software R. We give a brief tutorial on how to exploit R's versatility and introduce R package ANOM for drawing the familiar decision charts. Beyond that, we illustrate two practical aspects of data analysis with ANOM: firstly, we compare merits and drawbacks of ANOM-type MCTs and ANOVA F-test and assess their respective statistical powers, and secondly, we show that the benefit of using critical values from multivariate t-distributions for ANOM instead of simple Bonferroni quantiles is oftentimes negligible.

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“…However, a detailed literature about ANOM is available in Rao (2005) and some related works in this direction are Enrick (1976), Schilling (1979), Ohta (1981), Ramig (1983) The rest of the paper is organized as follows. The basic exposure to extreme value control chart is given in Section 2.…”

Section:  mentioning

confidence: 99%

Extreme Value Charts & ANOM based on IRD

Rao¹,

Jakkam

Rosaiah

2012

Pak.j.stat.oper.res.

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A measurable quality characteristic is assumed to follow Inverse Rayleigh distribution. Variable control charts based on the extreme values of each subgroup are constructed. The technique of analysis of means (ANOM) is adopted to work out the decision lines of Inverse Rayleigh distribution. The preferability of the proposed ANOM decision lines over that of Ott (1967) [11] is illustrated by some examples.

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An Analysis of Means in a Three-Way Factorial

Cited by 9 publications

References 5 publications

Extreme Value Charts and ANOM Based on Gumbel Distribution

Extreme Value Charts and ANOM Based on Gumbel Distribution

Analysis of means: a generalized approach using R

Extreme Value Charts & ANOM based on IRD

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