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

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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 B variable equals _________. F crit for the B variable equals _________.

(Multiple Choice)
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How many variance estimates are there in a 2 x 2 factorial design?

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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 _________.

(Multiple Choice)
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Consider the following graphic results from a 2 x 2 factorial experiment. Consider the following graphic results from a 2 x 2 factorial experiment.   Do you think there is a significant A x B interaction? Do you think there is a significant A x B interaction?

(Multiple Choice)
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In two-way ANOVA, ΣStotal is partitioned into ΣSrows , ΣSwithin-cells , ΣScolumns and ΣSinteraction .

(True/False)
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The conclusion regarding the A variable is _________.

(Multiple Choice)
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In two-way ANOVA, which variance estimate is a measure of s 2 alone (no treatment effects)? Explain.

(Short Answer)
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In a two-way ANOVA, there are three possible main effects and one interaction.

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Which of the following are not true statements?

(Multiple Choice)
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Define column sum of squares ( SScolumns ).

(Short Answer)
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MSwithin-cells is sensitive to the effects of variable A or B .

(True/False)
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Which of the following increase(s) as the interaction effect increases?

(Multiple Choice)
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The row variance estimate MSrows and the column variance estimate MScolumns are used to measure _________.

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MStotal = MSrows + MScolumns + MSinteraction + MSwithin-cells .

(True/False)
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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 Columns? What is the value of F obt for Columns?

(Multiple Choice)
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