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Uncertainties 5

Uncertainties 5. 16.6.11. O utline. N ormal distribution R ank correlation. ways to think about the normal distribution. A continuous version of the binomial distribution w hen N (the number of trials) is big http://onlinestatbook.com/stat_sim/normal_approx/index.html

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Uncertainties 5

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  1. Uncertainties 5 16.6.11

  2. Outline • Normal distribution • Rank correlation

  3. ways to think about the normal distribution • A continuous version of the binomial distribution • when N (the number of trials) is big • http://onlinestatbook.com/stat_sim/normal_approx/index.html • A model for distribution of measurements of naturally occurring phenomena • Amazing that these coincide!!

  4. Parameters of the Normal distribution • Mean • Variance = (standard deviation)squared • Try out at: • http://www.stattucino.com/berrie/dsl/index.html

  5. Luskentyre shells

  6. Ranks’ data

  7. Spearman’s rank correlation coefficient Correlation measured by ‘least squares’ line of best fit has gradient called the product-moment correlation coefficient. Spearman’s rank correlation coefficient is another measure of correlation which can be used when ranks rather than measures are given. Here is the formula: Where (d-sub-i)-squared is the difference between the two rankings squared and ‘n’ is the number of items.

  8. MEI article on correlation • Please read (at least) the first four pages of this article: • http://www.mei.org.uk/files/pdf/Spearmanrcc.pdf • After you’ve read the pages you should be clearer about the differences between the two coefficients of rank with which you are familiar.

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