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When studying the behaviour of the sum of independent, identically distributed (iid) Gaussian (normal) variables. The F-distribution is used mainly in the analysis of variance where the errors - between the observed value and those predicted by a model - are assumed to be iid Normal.
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When we use f distribution?
When comparing the sums of squares of normal variates.
Is the F distribution a symmetric distribution?
No.It is asymmetric.
What is exponential distribution?
The exponential distribution is a continuous probability distribution with probability density definded by: f(x) = ke-kx for x ≥ 0 and f(x) = 0 otherwise.
What is F Probability Distribution?
Given U_i~χ_(ν_i)^2, (U_1/ν_1)/(U_2/ν_2 ) follows which distribution? F_(ν_1,ν_2 ) F Probability Distribution with ν degree of freedom Given T=Z/√(U/ν), Z~N(0,1) and U~χ_ν^2, T^2 follows an F-Distribution F_(1,ν) F Probability Distribution with one degree of freedom in the numerator and ν in the denominator
What is sampling distribution of a statistic called?
The parent probability distribution from which the statistic was calculated is referred to as f(x) and cumulative distribution function as F(x). The sampling distribution and cumulative distribution of a statistic is commonly referred to as g(y) and G(y) where Y is the random variable representing the statistic. There are numerous other notations.
