Exam 16: Introduction to the Two-Way Analysis of Variance

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The sum of df rows , df columns , df interaction , and df within-cells is N - 1.

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If the null hypothesis is correct, which of the following is (are) an estimate of s 2 ?

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If the A variable has a real effect, _________.

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The conclusion regarding the interaction is _________.

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Given the following data, collected from an independent groups design. When analyzing the data, assume that a = 0.05. Given the following data, collected from an independent groups design. When analyzing the data, assume that a = 0.05.   The value of F <sub>crit</sub> for evaluating the row effect is _________. The value of F crit for evaluating the row effect is _________.

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Given the following data, collected from an independent groups design. When analyzing the data, assume that a = 0.05. Given the following data, collected from an independent groups design. When analyzing the data, assume that a = 0.05.   The value of F <sub>obt</sub> for evaluating the column effect is _________. The value of F obt for evaluating the column effect is _________.

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MSrows is sensitive to the effects of variable A .

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Given the following data, collected from an independent groups design. When analyzing the data, assume that a = 0.05. Given the following data, collected from an independent groups design. When analyzing the data, assume that a = 0.05.   The conclusion regarding the main effect of variable A is _________. The conclusion regarding the main effect of variable A is _________.

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MSwithin-cells is the standard for evaluating the main and interaction effects.

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ΣSw for one-way ANOVA and ΣSwithin-cells for two-way ANOVA are conceptually similar.

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An investigator collects the following data on variables A and B , using a two-way independent groups design. Use a = 0.05 in analyzing the data. An investigator collects the following data on variables A and B , using a two-way independent groups design. Use a = 0.05 in analyzing the data.   F <sub>crit</sub> for the A variable equals _________. F crit for the A variable equals _________.

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What are the advantages of two-way ANOVA as compared to one-way ANOVA?

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If there is an interaction between the variables of "activity level" and "time of day," this means that activity level does not have the same effect at different times of day.

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Which of the following increase(s) as the effect of the B variable increases?

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Define interaction sum of squares ( SSinteraction ).

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In general, when an experimenter does a two-way ANOVA, he has no interest in which levels of the variable have a real effect.

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The row variance estimate does not change as the effect of independent variable A increases.

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Consider the following graphic results from a 2 2 factorial experiment. These results show _________. Consider the following graphic results from a 2 2 factorial experiment. These results show _________.

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A "mean square" is the same thing as a "variance estimate".

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Differences among cell means are used to assess the interaction effect.

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