Normality 07A

# Normality 07A - Testing for normality transforming data ESM...

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Testing for normality; transforming data ESM 206A Nov 19 2007

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Recall our mercury data 0.853511661, 0.391905707, 0.143344303, 0.198267857, 0.266572367, 0.327306702, 0.834747834, 5.32261822, 0.817037696, 0.157247167, 0.328456677, 3.793153524, 0.513433215, 0.502938253, 0.733454663, 0.279345254, 0.95247347, 0.742740502, 0.178309271, 0.469049646, 0.764546106, 1.819858816, 0.830187557, 0.369993886, 0.644729374, 0.841576129, 0.734056277, 0.773035692, 0.810722543, 0.357449318 The mean of the data is 0.858; the standard deviation is 1.08; the sample size is 30. 2 0.858; 1.166; 30. x x s n = = =
Are these data a random sample from a normally distributed population? Visual inspection of data suggests not – can we quantify that? Graphical examination: Quantile- Quantile plot (QQ Plot) Hypothesis test: Shapiro-Wilk test

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QQ plot Introduce Cumulative Distribution Function (CDF) Probability of being less than a specified value Integral of PDF Show for normal distribution Rcmdr: Distributions -> Continuous Distributions -> Normal Distribution -> Plot Normal Distribution;
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## This note was uploaded on 08/06/2008 for the course ESM 206 taught by Professor Kendall,berkley during the Spring '08 term at UCSB.

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Normality 07A - Testing for normality transforming data ESM...

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