Inferential statistics Statistical inference is the process of using data analysis to deduce properties of an underlying probability distribution.Upton, G., Cook, I. (2008) Oxford Dictionary of Statistics, OUP. . Inferential statistical analysis infers properties of a population, for example by testing hypotheses and deriving estimates. It is assumed that the observed data set is sampled from a larger population. Inferential statistics can be contrasted with descriptive statistics. Descriptive statistics is solely concerned with properties of the observed data, and it does not rest on the assumption that the data come from a larger population.
inFERenTiAl StatiStIcs STAtIstiCal INfErencE Is the prOcesS oF usIng daTa AnaLysIS tO dedUcE PRopeRties of AN underlying prObabIlItY disTRIbutioN.UpTOn, g., coOK, I. (2008) oxforD DIctionaRY of statiStiCS, oUp. . iNfereNtiAl staTistiCal anaLySiS infers propeRTieS OF a PoPulation, fOr examplE by TesTINg HyPoTheSes and Deriving eStimatEs. it iS AsSuMed THat The obseRved dAta set iS saMpLed frOM a Larger popULation. inferEntial StaTiStICs caN BE ContrASted WIth descRiptive statiStIcs. deScriPTive statistics iS Solely coNceRnEd With pRopeRties of The obsErvEd dAta, aNd It doeS noT ResT on ThE aSsuMPTION That the DatA CoMe FrOm A LArger PopuLAtioN.