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As one of the oldest multivariate statistical methods of data reduction, Principal Component Analysis (PCA)simplifies a dataset by producing a small number of derived variables that are uncorrelated and that account for most of the variation in the original data set. Eventually, the derived variables are combinations of the original variables. For example, it might be ?hat students take 10 examinations and some students do well in one exam whilst other students do better in another. It is difficult to compare one student with another when we have marks from 10 examinations to consider. One obvious way of comparing students is to calculate tlie mean score. This is a constructed combination of the existing variables,. However. we may get a more useful comparison of overall performances by considering other constructed combinations of the 10 exam marks. The PCA is one way of constructing such combinations, doing so in such ewakas to account for as much as possible of the variation in the original data. One can then compare students' performance by considering this much sn~aller number of variables.
Lorenz Curve It is a graphic method of measuring dispersion. This curve was devised by Dr. Max o Lorenz a famous statistician. He used this technique for wealth it i
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Mode Mode is the value of the observation which occurs with the greatest frequency and thus it is the most fashionable value, Mode has been derived from French word La m
Standard Deviation The concept of standard deviation was first introduced by Karl Pearson in 1893. The standard deviation is the most important and the popular measure of disp
You were recently hired by E&T Boats, Inc. to assist the company with its financial planning and to evaluate the company's performance. E&T Boats, Inc. builds and sells boats to o
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You are currently working with a supplier who is producing a shaft whose diameter specification is 6.00 ± .003 inches. Currently, the process is yielding shafts wit
Question: (a) A normal distribution is thought to have a mean of 50. A random sample of 100 gave a mean of 52.6 and a standard deviation of 14.5. A significance test was carri
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Definition of Correlation According to prof, king correlation means that between two series or group of data there exists some casual connection prof, king has also exp
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