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

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In a two-way ANOVA, if there is a significant interaction between Factor A and Factor B , which of the following may be true?

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A significant interaction effect occurs when _________.

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MScolumns is a measure of only s 2 , regardless of whether the variables have a main effect.

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An experiment was conducted to assess the effects of a minor tranquilizer on a performance task at different levels of stress. The levels of stress (Factor A ) were moderate and high and the levels of tranquilizer (Factor B ) were none and moderate. A two-way ANOVA was done on the data and there was a significant A x B interaction. Explain what this means.

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Define interaction variance estimate ( MSinteraction ).

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ΣStotal = ΣSrows + ΣScolumns + ΣSinteraction + ΣSwithin-cells .

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Define row variance estimate ( MSrows ).

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To answer this question, refer to the following two-way ANOVA summary table To answer this question, refer to the following two-way ANOVA summary table   What is the value for df <sub>within-cells</sub> ? What is the value for df within-cells ?

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Define factorial experiment.

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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 column effect is _________. The value of F crit for evaluating the row column effect is _________.

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

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In the one-way ANOVA, the within-groups variance estimate is like _________ in two-way ANOVA.

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In two-way ANOVA, the variability within each cell is used to produce an estimate of s 2 that is independent of any treatment effects.

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Define column variance estimate ( MScolumns).

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In a two-way ANOVA, how many F values are computed; what are they?

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In the two-way ANOVA, what is a main effect? What is an interaction?

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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 row column effect is _________. The value of F obt for evaluating the row column effect is _________.

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Define row degrees of freedom (df rows ).

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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 interaction effect of variables A and B is _________. The conclusion regarding the interaction effect of variables A and B is _________.

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Although not covered in the textbook, generalizing from one-way ANOVA, identify four variables, other than beta, that affect power, and state how power is affected by increases in each. (Remember there are two independent variables, not just one.)

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