File:inf-07-anova-sums-of-squares.png

Figure file · Analysis of variance

One factor at three levels. Each observation’s gap from its level mean, Y_{ij}-\overline Y_{\cdot j}, goes into \mathrm{SS}_{\mathrm{error}}. Each level mean’s gap from the grand mean, \overline Y_{\cdot j}-\overline Y, counted once per observation, goes into \mathrm{SS}_{\mathrm{treatment}}.

One factor at three levels. Each observation’s gap from its level mean, Y_{ij}-\overline Y_{\cdot j}, goes into \mathrm{SS}_{\mathrm{error}}. Each level mean’s gap from the grand mean, \overline Y_{\cdot j}-\overline Y, counted once per observation, goes into \mathrm{SS}_{\mathrm{treatment}}.

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Summary

Description. One factor at three levels. Each observation’s gap from its level mean, Y_{ij}-\overline Y_{\cdot j}, goes into \mathrm{SS}_{\mathrm{error}}. Each level mean’s gap from the grand mean, \overline Y_{\cdot j}-\overline Y, counted once per observation, goes into \mathrm{SS}_{\mathrm{treatment}}.

Appears in. Analysis of variance

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