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Running head: ANALYSIS OF VARIANCE1Analysis of VarianceStudents NameInstitutionYearANALYSIS OF VARIANCE2Analysis of Variance1. Explain how the F distribution is constructed by combining two chi-squareddistributions. What are the properties of the F distribution?In statistics, it is possible to construct an F distribution by combining two chi-squaredistributions. This can be done so by getting two independent chi-square random variables (Mand N) with different degrees of freedom R1 And R2 and then dividing these variables by thedegrees of freedom respectively, thus forming an F distribution from the chi-square distribution.Some of the properties of an F distribution include that it is positively skewed and when thedegrees of freedom increase from R1 and R2, its skewness decreases. Apart from this, the valuesof an F distribution are usually positive or zero since its variances are the square of thedeviations and hence cannot assume negative values. The other property of the F distribution isthat the shape of the F-distribution depends on its parameters M and N degrees of freedom.Finally, the mean of the distribution is equal to v2 / ( v2 - 2 ) for v2 > 2 ...


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