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 enforcing an excessive amount of rigor; scholars can pay attention to the statistical techniques with no getting misplaced within the concept.

scholars who use this ebook might be good on their technique to considering like a statistician. working towards statisticians will locate this ebook important in that it truly is replete with statistical try tactics (both parametric and non-parametric) in addition to quite a few designated examples.

Â· accomplished assurance of descriptive statistics

Â· extra distinctive therapy of univariate and

bivariate likelihood distributions

Â· Thorough assurance of chance concept with

various occasion classifications

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**Extra info for Advanced Statistics from an Elementary Point of View**

**Sample text**

Let us assume that we have a data set involving N ordered pairs (Xi , Yi ), i = 1, . . 5 43 Rank Correlation between Variables X and Y ith observation on the variable Y. , Xi = rank (Wi ), i = 1, . . , N), where the ranks are specified from low to high or from 1 through N. Additionally, let the Yi ’s constitute a second ranking of the Wi ’s, i = 1, . . , N. The question that now emerges is: How much agreement is there between the two sets of rankings depicted by the X and Y variables? It should be intuitively clear that if the rank orders agree, then the ranks appearing in the sets of X and Y values should be positively associated or positively correlated.

Once V has been obtained, we may conclude that the standard deviation is V% of the mean. ” So, given distributions A and B, we compute V for each. Then the distribution with the smaller V value has a greater degree of uniformity or homogeneity among its values (or the distribution with the larger V has a greater degree of variability or heterogeneity among its values). 1 Is there more variation among incomes received by nurses affiliated with a certain large urban hospital (distribution A) or a group of private practice nurses (distribution B)?

Finally, if ρS = 0, then clearly these variables exhibit no relationship at all. Since the Spearman coefficient only measures the degree of monotone association between X and Y over rank values, its characterization of the relationship between X and Y is not as narrowly focused as that of ρXY ; that is, ρS measures the tendency toward monotonicity and ρXY measures the tendency toward linearity, with the tendency toward linearity emerging as a special case of the tendency toward monotonicity. ) Since the X and Y values are simply ranks, it should be evident that any outliers present in a data set will distort the value of ρXY but will not affect the magnitude of ρS since the latter measure treats all observations equally.

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

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