Exam 15: Analysis of Variance

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In an FF ratio for a one-way ANOVA, the denominator degrees of freedom is __________.

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An educational researcher wants to compare four different teaching methods A, B, C, and D which she wants to try on freshmen (F)(\mathrm{F}) and juniors (J)(\mathrm{J}) who have three different ability levels: low (L), medium (M), and high (H). List the 24 tests she must perform so that each teaching method is used once with each combination of grade level and ability level.

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The degrees of freedom for blocks in a complete-block design equals

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In a complete-block design, the sum of squares for blocks measures the variation __________ samples.

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The treatment sum of squares measures the variation within samples.

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Under what circumstances would a Latin Square design be used in an experiment?

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The analysis of variance table below represents part of the calculations for testing the null hypothesis μ1=μ2=μ3=μ4=μ5\mu_{1}=\mu_{2}=\mu_{3}=\mu_{4}=\mu_{5} . Complete the table and test the null hypothesis at α=0.01\alpha=0.01 .  The analysis of variance table below represents part of the calculations for testing the null hypothesis  \mu_{1}=\mu_{2}=\mu_{3}=\mu_{4}=\mu_{5} . Complete the table and test the null hypothesis at  \alpha=0.01 .

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It is not true that the FF ratio for a one-way ANOVA

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Under what circumstances would a complete-block design be a desirable design for an experiment?

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