**Moment Matching Method**

The moment-matching methods are also called the Krylov subspace methods, as well as Padé approximation methods. They belong to the Projection based MOR methods. These methods are applicable to non-parametric linear time invariant systems, often descriptor systems … … **Lagrange Multiplier**

In mathematical optimization, the method of Lagrange multipliers is a strategy for finding the local maxima and minima of a function subject to equality constraints. … **Analysis of Means (ANOM)**

The analysis of means (ANOM) is a graphical procedure for comparing a collection of means, rates, or proportions to see if any of them differ significantly from the overall mean, rate, or proportion. The ANOM is a type of multiple comparison procedure. The results of the analysis are summarized in an ANOM decision chart. This chart is similar in appearance to a control chart. It has a centerline, located at the overall mean (rate, or proportion), and upper and lower decision limits. Group means (or rates, or proportions) are plotted on this chart and if one falls beyond a decision limit then that group is said to be statistically different from the overal mean (rate or proportion).

In many situations, you need to examine differences among more than two groups. When you are interested in comparing multiple group means, you can use the analysis of means (ANOM) as an alternative to the one-way analysis of variance F test. The ANOM provides a “confidence interval type of approach” that allows you to determine which, if any, of the c groups has a mean significantly different from the overall average of all the group means combined. Instead of looking at the lower and upper limits of a confidence interval, you will be studying which of the c group means are not contained in an interval formed between a lower decision line and an upper decision line. Any individual group mean not contained in this interval is deemed significantly higher than the overall average of all groups if it lies above the upper decision line. Similarly, any group mean that falls below the lower decision line is declared significantly lower than the overall group average. …

# If you did not already know

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Oct 2017

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