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

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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 MS<sub>within-cells</sub> ? What is the value for MSwithin-cells ?

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An assumption of two-way ANOVA is that the sample column and row scores are normally distributed.

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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 MS<sub>rows</sub> ? What is the value for MSrows ?

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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>obt</sub> for the A variable equals _________. F obt for the A variable equals _________.

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

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Define within-cells variance estimate ( MSwithin-cells ).

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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 crit for the interaction equals _________. F crit for the interaction equals _________.

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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>obt</sub> for the B variable equals _________. F obt for the B variable equals _________.

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Define main effect.

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Two-way ANOVA is like two one-way ANOVA experiments, plus it gives us the ability to analyze the interaction of the two variables.

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In general, the alternative hypothesis for two-way ANOVA can be directional.

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Which of the following are called "main effects" in a two-way analysis of variance?

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Define within-cells sum of squares ( SSwithin-cells ).

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The row variance estimate MSrows and the column variance estimate MScolumns are used to measure _________.

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The assumptions underlying two-way ANOVA and one-way ANOVA are different.

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

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Define two-way analysis of variance.

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Which of the following are called "main effects" in a two-way analysis of variance?

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Define within-cells degrees of freedom (df within-cells ).

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In a two-way ANOVA, we do three F tests.

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