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Tilastollinen tietojenk¨asittely Exercise 6 05.12.2006 1. Test the hypothesis H

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Tilastollinen tietojenk¨asittely Exercise 6

05.12.2006

1. Test the hypothesisH0:µ= 0 (Hα:µ >0) by using randomization test when the sample is

0.13,−0.01,−0.01,0.42,−0.02,0.01,0.09,0.03,0.04,0.06,0.12,0.03.

2. Using testing based on the normal distribution make a function, which calculates the sample size needed whene=|x¯−µ|,σandαare given.

3-4. Inwtlossdata (Library MASS) find the appropriate degree of polynomial by using cross-validation whenWeightis the dependent variable andDays is the explanatory variable.

5-7. The datapuut(in the R-workspace of the same name) in course directory contain locations (x, y) of trees of a certain measured stand. Investigate if the measured trees are uniformly distributed around the measured area.

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The noiseless data is also a polynomial of degree 6, and the estimate based on the noisy data gets reasonably close, much closer than the observed noisy data points.. In this sense

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In wtlos data (Library MASS) test the degree of polynomial model needed when the dependent variable is Weight and the explanatory variable is Days.. Investigate the distribution

Työn merkityksellisyyden rakentamista ohjaa moraalinen kehys; se auttaa ihmistä valitsemaan asioita, joihin hän sitoutuu. Yksilön moraaliseen kehyk- seen voi kytkeytyä

The US and the European Union feature in multiple roles. Both are identified as responsible for “creating a chronic seat of instability in Eu- rope and in the immediate vicinity

Finally, development cooperation continues to form a key part of the EU’s comprehensive approach towards the Sahel, with the Union and its member states channelling

Indeed, while strongly criticized by human rights organizations, the refugee deal with Turkey is seen by member states as one of the EU’s main foreign poli- cy achievements of