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>obt</sub> for the interaction equals _________. F obt for the interaction equals _________.

(Multiple Choice)
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The column variance estimate increases as the effect of independent variable B increases.

(True/False)
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ΣSB for one-way ANOVA is conceptually similar to ΣSrows and ΣScolumns for two-way ANOVA.

(True/False)
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What is a factorial experiment?

(Short Answer)
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Define row sum of squares ( SSrows ).

(Short Answer)
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The two-way analysis of variance _________.

(Multiple Choice)
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Define column degrees of freedom (df columns ).

(Short Answer)
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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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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 B is _________. The conclusion regarding the main effect of variable B is _________.

(Multiple Choice)
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A significant interaction effect occurs when the effects of one of the variables is not the same at all levels of the other variable.

(True/False)
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One of the poorer students in your class insists that there is a direct relationship between MSwithin-cells and the size of real effect. Is he correct? Explain.

(Essay)
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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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A 2 * 4 factorial experiment has 2 levels of one variable and 4 levels of the other variable.

(True/False)
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It is not possible to have an interaction effect unless one of the variables also has a main effect.

(True/False)
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The two-way analysis of variance _________.

(Multiple Choice)
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The within-cells variance estimate measures treatment effects.

(True/False)
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ΣS total = ΣSrows + ΣScolumns + ΣSwithin-cells.

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

(Multiple Choice)
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In two-way ANOVA, it is possible for all or none, or any combination in between, of the F values to be significant.

(True/False)
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Differences among column means are used to assess the main effect of one of the variables

(True/False)
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