4.5 | Fisher exact test h0
Hereweconsiderthefamous teatastingexample!Inasummertea-partinCambridge,England,aladyclaimedtobeabletodiscern,bytastealone,whetheracupofteawithmilkhadtheteapouredfirstorthemilkpouredfirst.AnexperimentwasperformedbySirR.A.Fisherhimself,thenandthere,toseeifherclaimwas valid.Eightcupsofteawerepreparedandpresentedtoherinrandomorder.Fourhadthemilkpouredfirst,andotherfourhadtheteapouredfirst.Theladytastedeachoneandrenderedheropinion.Theresultsaresummarizedinthefollowing (2imes 2)table:Actuallypoure...
Here we consider the famous tea tasting example! In a summer tea-part in Cambridge, England, a lady claimed to be able to discern, by taste alone, whether a cup of tea with milk had the tea poured first or the milk poured first. An experiment was performed by Sir R.A. Fisher himself, then and there, to see if her claim was valid. Eight cups of tea were prepared and presented to her in random order. Four had the milk poured first, and other four had the tea poured first. The lady tasted each one and rendered her opinion. The results are summarized in the following (2 imes 2) table:
Actually poured first Lady says poured first tea milk tea 3 1 milk 1 3The row totals are fixed by the experimenter. The column totals are fixed by the lady, who knows that four of the cups are "tea first" and four are "milk first." Under (H_0), the lady has no discerning ability, which is to say the four cups she calls "tea first" are a random sample from the eight....