COMM 87 Lecture 13: The F-Ratio

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11 Apr 2018
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F-(cid:409)atio: a (cid:409)atio o(cid:310) di(cid:310)(cid:310)e(cid:409)ent types o(cid:310) (cid:461)a(cid:409)ian(cid:272)e. F = within groups variance between groups variance. Bet(cid:462)een (cid:311)(cid:409)oups (cid:461)a(cid:409)ian(cid:272)e : tells us ho(cid:462) di(cid:310)(cid:310)e(cid:409)ent the (cid:311)(cid:409)oup means a(cid:409)e (cid:310)(cid:409)om ea(cid:272)h othe(cid:409) (cid:614)ie. ho(cid:462) mu(cid:272)h ea(cid:272)h (cid:311)(cid:409)oup (cid:461)a(cid:409)ies (cid:310)(cid:409)om the (cid:637)(cid:311)(cid:409)and mean(cid:638)(cid:615) Within (cid:311)(cid:409)oups (cid:461)a(cid:409)ian(cid:272)e: tells us ho(cid:462) mu(cid:272)h the indi(cid:461)idual s(cid:272)o(cid:409)es (cid:461)a(cid:409)y (cid:462)ithin ea(cid:272)h (cid:311)(cid:409)oup (cid:614)aka (cid:637)e(cid:409)(cid:409)o(cid:409) (cid:461)a(cid:409)ian(cid:272)e(cid:638)(cid:615) F = mean squares within mean squares between = msb. Ss bet(cid:462)een : the sum o(cid:310) s(cid:408)ua(cid:409)ed di(cid:310)(cid:310)e(cid:409)en(cid:272)es (cid:271)et(cid:462)een ea(cid:272)h (cid:311)(cid:409)oup mean and the (cid:311)(cid:409)and mean.

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