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Lecture 4 Normal distribution? Sample data at :

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1 Lecture 4 Normal distribution? Sample data at : http://www.smi.auc.dk/~cdahl/biostat/data/

2 List of nice things Equal variance Normal distribution Independent variables Linear relationship

3 Example 1 Is there a relation between the number of apples given to a teacher and the grade given by a teacher? Normality? –Standadized residuals –P-P plots (Q-Q plots) –Does it look nice?

4 Kolmogorov-Smirnov test Tests if a sample of variables are normal. Tests if the observed distribution function S(x) is significantly different from a hypothetical distribution function F(x). Lilliefors modification because F(x) is estimated from S(x).

5 Example 2 Is there a relation between the number of muffins given to a teacher and the grade given by a teacher?

6 Transformations Most statistical models are linear. Equal variance. c = 1: No transformation c = -1: reciprocal c = ½ : square root c = 0: logarithmic

7 Outliers Tjeck the data Tjeck the labbook Trimmed mean Common sense and your vast experience


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