Download e-book for iPad: Advanced Statistics from an Elementary Point of View by Michael J. Panik

By Michael J. Panik

ISBN-10: 0120884941

ISBN-13: 9780120884940

The hugely readable textual content captures the flavour of a direction in mathematical statistics with out implementing an excessive amount of rigor; scholars can be aware of the statistical options with out getting misplaced within the idea.
scholars who use this e-book could be good on their solution to considering like a statistician. working towards statisticians will locate this ebook worthy in that it truly is replete with statistical try tactics (both parametric and non-parametric) in addition to a number of certain examples.

· finished insurance of descriptive statistics
· extra certain therapy of univariate and
bivariate chance distributions
· Thorough assurance of likelihood concept with
a number of occasion classifications

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Extra resources for Advanced Statistics from an Elementary Point of View

Example text

Why is the conversion mentioned in step two necessary? , if the data for distribution A is in miles per hour and that for distribution B is in metric tons, then clearly no reasonable comparison of absolute dispersion can be made). What about the different means issue? Even though units may not be a problem, it is 34 Chapter 2 Elementary Descriptive Statistical Techniques the case that a set of very large numbers invariably has a large standard deviation relative to a set of very small numbers, even though there may be more variability associated with the values within the latter.

Quantiles. The quantiles of a variable X (or of X’s absolute frequency distribution) are positional measures that divide the observations on X (or the total area under the absolute frequency distribution of X) into a number of equal portions, given that the said observations have been ordered in an increasing sequence. Such measures are: ● The median—splits an absolute frequency distribution into two equal parts ● Quartiles—split an absolute frequency distribution into four equal parts ● Deciles—split an absolute frequency distribution into 10 equal parts ● Percentiles—split an absolute frequency distribution into 100 equal parts The three quartiles Q1 , Q2 , and Q3 divide the absolute frequency distribution into four equal parts.

23), that is, we divide σXY by the product of the standardized deviations of the X and Y variables to obtain the Pearson product moment correlation coefficient ρXY = COV(X , Y) σXY = . 4 39 Correlation between Variables X and Y Here ρXY serves as a measure of linear association between X and Y, is independent of units, and varies between ±1, inclusively. That is, −1 ≤ ρXY < 1, with the sign of ρXY determined by the sign of σXY . Specifically: (1) If σXY = 0, then ρXY = 0 and X and Y are said to be linearly related or correlated.

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Advanced Statistics from an Elementary Point of View by Michael J. Panik


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