F statistics are produced in a two-way ANOVA, and for this particular study what do the *F* statistics represent?
]]>F statistic representing whether there were any significant differences among the means of the four cells of the experiment.
]]>F statistics: one for the main effect of depletion level and one for the main effect of perseverance.
]]>F statistics: one for the main effect of depletion level, one for the main effect of perseverance, and one for the interaction of depletion level and perseverance.
]]>F statistics result from the two-way ANOVA, because the researchers could choose to calculate as many *F* statistics as they want.
]]>M = 9.40, *SD* = 5.64) than non-depleted individuals (*M* = 12.44, *SD* = 7.34), *F*(1, 108) = 6.03, *p* = .016, *η*^{2} = .05. This effect was qualiﬁed by the expected interaction with [perseverance], *F*(1, 108) = 4.52, *p* = .036, *η*^{2} = .05” (p. 70). Recall that *η*^{2} can be interpreted in the same way as *R*^{2}. What size are the effects for the main effect of depletion and for the interaction between depletion and perseverance, according to Cohen’s conventions?
]]>η^{2}/*R*^{2} statistics.
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