Respond to all of the following questions in your posting for this week: Describe the characteristics of...

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Basic Math

Respond to all of the following questions in your posting forthis week:
Describe the characteristics of the F distribution. Provideexamples.
What are we testing when we test for two population variances?Explain your answer and provide an example.
What are the assumptions of an ANOVA, and when would you use anANOVA?

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Definition The Fdistribution depends on the degrees of freedom and is usually defined as the ratio of variances of two populations normally distributed and therefore it is also called as Variance Ratio Distribution Properties of FDistribution There are several properties of Fdistribution which are explained below The Fdistribution is positively skewed and with the increase in the degrees of freedom 1 and 2 its skewness decreases The value of the Fdistribution is always positive or zero since the variances are the square of the deviations and hence cannot assume negative values Its value lies between 0 and The statistic used to calculate the value of mean and variance is The shape of the Fdistribution depends on its parameters 1 and 2 degrees of freedom The values of the area lying on the lefthand side of the distribution can be found out by taking the reciprocal of F values corresponding to the righthand side and the degrees of freedom in the numerator and the denominator are interchanged This is called as Reciprocal Property of Fdistribution Symbolically it can be represented asThis property is mainly used in the situations when the values of the lower tail F values are to be determined corresponding to the upper tail F values Thus these are the properties of Fdistribution that tells how the sample is distributed under study and what statistical inferences can be drawn therefrom Properties of FDistribution There are several properties of Fdistribution which are explained below The Fdistribution is positively skewed and with the increase in the degrees of freedom 1 and 2 its skewness decreases The value of the Fdistribution is always positive or zero since the variances are the square of the deviations and hence cannot assume negative See Answer

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