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

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Define interaction degrees of freedom (df interation ).

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In two-way ANOVA, the total sum of squares is partitioned into several different sums of squares. What are they?

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The variability of cell means is used as a basis of both the interaction effect and the within-cell variance estimate.

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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 ΣS<sub>within-cells</sub> ? What is the value for ΣSwithin-cells ?

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An assumption of two-way ANOVA is that the sample cell variances are equal.

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

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In a two-way ANOVA, it is possible to have significant main effects without a significant interaction.

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Define interaction effect.

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A main effect refers to the average effect of the variable.

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A two factor experiment yields no more information than two single factor experiments.

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A main effect for variable A means that _________.

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If there are no main effects, then _________.

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What are the assumptions underlying two-way ANOVA?

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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 factorial experiment is one in which the effect of two or more factors is assessed in one experiment.

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The homogeneity of variance assumption assumes the population scores from which each of the samples are drawn are normally distributed.

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Fill in the blanks in the following table. There are 5 subjects per cell. Fill in the blanks in the following table. There are 5 subjects per cell.   a. What are the null hypotheses for this experiment? b. Using the two-way ANOVA with a = 0.05, what do you conclude? a. What are the null hypotheses for this experiment? b. Using the two-way ANOVA with a = 0.05, what do you conclude?

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It is not possible to have a significant interaction effect unless one of the variables also has a significant main effect.

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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 of F <sub>obt</sub> for Rows? What is the value of F obt for Rows?

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