A Business Encyclopedia

Properties of F-Distribution

Definition: The F-distribution 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 F-Distribution

There are several properties of F-distribution which are explained below:

  1. The F-distribution is positively skewed and with the increase in the degrees of freedom ν1 and ν2, its skewness decreases.
  2. The value of the F-distribution 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 .
  3. The statistic used to calculate the value of mean and variance is:Properties of F-distribution
  4. The shape of the F-distribution depends on its parameters ν1 and ν2 degrees of freedom.
  5. The values of the area lying on the left-hand side of the distribution can be found out by taking the reciprocal of F values corresponding to the right-hand side and the degrees of freedom in the numerator and the denominator are interchanged. This is called as Reciprocal Property of F-distribution. Symbolically, it can be represented as:roperties of F-distribution-2This 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 F-distribution that tells how the sample is distributed under study and what statistical inferences can be drawn therefrom.

Leave a Reply

Your email address will not be published. Required fields are marked *


Related pages

stacey adams equity theorybrand mark definitionwhat is fiscal deficit and revenue deficitdefinition of suasionmarket development strategy ansoffwhat is nbfc companydeterminants of demand curvelpp methodmonopolistic competitonhow to substitution methodbargaining means in hindijane moutonretrenchment strategies with examplesdelegating meaningexample of stratified sampling techniquemcgregor's theory x and ybusiness process reengineering frameworktypes of markets monopoly oligopolyoligopoly featurescash outlay definitionvms meaningapplication of administrative management theorydemand drafts definitionsole proprietor businesseswhat does stradle meanlearning theory pavlovdefinition of divesteddivest meansstrategic hrm planning processgdp at market prices formulaadvantages and disadvantages of sensitivity trainingtaylor's scientific theoryequity linked savings scheme elssitr financecurrency purchasing power parityfrank knight uncertaintyinformal formal communicationdeontology business ethicscardinal law definitionoligopolistic definitiondefine laissez faire leaderisoquant production functionpavlov behaviour theorycross elasticity of demand substitutesmeaning of regression in hindidebtors turnover ratio interpretationreinforcements meaningthe purpose of hrmuntapped market definitiondefinition of autocratic managementwhat is the meaning of fiscal deficitliquidity ratio meaningwith cost push inflation in the short runmeaning of delegation in hindiclassical conditioning theory of ivan pavlovfactors of demand pull inflationtrait theroygeocentric model definitionpf provident fundexplain demand pull inflationcurrency arbitrage exampledefine monetizing the debtkanban two bin systemdemand pull inflation theorythe meaning of rationingdeveloped the theory of conditioned responsekarl pearson coefficient of correlation formuladebt funds definitionhierarchical meaning in urducosting methods for pricingtypes of income elasticityan indifference curve showsdiminishing law of marginal utilitydefinition of carrotswhat is implicit and explicit cost