Exam 12: Analysis of Variance

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A researcher calculated the ANOVA summary table for an experiment, but accidentally spilled grape juice over the first line of the output. From the data below, calculate the F test value. A researcher calculated the ANOVA summary table for an experiment, but accidentally spilled grape juice over the first line of the output. From the data below, calculate the F test value.

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A researcher can use the Scheffé or Tukey test to determine where the difference in the means lies, once the null hypothesis for the F-test has been rejected.

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The figure below is a result of a two-way ANOVA, which of the following statements would apply? The figure below is a result of a two-way ANOVA, which of the following statements would apply?

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Independent variables can also be called ______________.

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The F-test for comparing means is always right tailed.

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When performing an F-test, if the means differ significantly, the between-group variance will be much smaller than the within-group variance.

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The data consist of the weights in ounces of three different types of digital camera. Use The data consist of the weights in ounces of three different types of digital camera. Use   to see if the means are equal.  to see if the means are equal. The data consist of the weights in ounces of three different types of digital camera. Use   to see if the means are equal.

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In an Analysis of Variance Summary Table, if the Mean Square Between = 13 and the Mean Square Within = 21, then the null hypothesis of the groups having the same mean is

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The manager of a grocery store wants to determine if there is a difference in the amount of money that the store brings in at different times of the day for different days of the week. The amount of money spent by five randomly selected customers is listed below. Analyze the data using a two-way ANOVA at The manager of a grocery store wants to determine if there is a difference in the amount of money that the store brings in at different times of the day for different days of the week. The amount of money spent by five randomly selected customers is listed below. Analyze the data using a two-way ANOVA at   .  . The manager of a grocery store wants to determine if there is a difference in the amount of money that the store brings in at different times of the day for different days of the week. The amount of money spent by five randomly selected customers is listed below. Analyze the data using a two-way ANOVA at   .

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A Two-Way ANOVA Summary Table is shown below. A Two-Way ANOVA Summary Table is shown below.   The critical value for the F test using   = 0.05, d.f.N. = 2, and d.f.D = 36 is 3.26. Then, The critical value for the F test using A Two-Way ANOVA Summary Table is shown below.   The critical value for the F test using   = 0.05, d.f.N. = 2, and d.f.D = 36 is 3.26. Then, = 0.05, d.f.N. = 2, and d.f.D = 36 is 3.26. Then,

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To find the critical value for the Tukey test, the number of means, k, and the degrees of freedom associated with the between group variance, V, are needed.

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In a two-way ANOVA procedure, variable A has four levels and variable B has two levels. The d.f.N. for factor In a two-way ANOVA procedure, variable A has four levels and variable B has two levels. The d.f.N. for factor   would be 3. would be 3.

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The between-group variance and the within-group variance are sometimes referred to as

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Assume that the conclusion from an ANOVA is that the null hypothesis is rejected, in other words that the 7 population means are not all equal. We should expect that

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In the Scheffe test, if In the Scheffe test, if   = 8 for a group size   = 7,   = 11 for a group size   = 7, and the within-group variance   = 14, then the   test value for comparing these two groups is equal to = 8 for a group size In the Scheffe test, if   = 8 for a group size   = 7,   = 11 for a group size   = 7, and the within-group variance   = 14, then the   test value for comparing these two groups is equal to = 7, In the Scheffe test, if   = 8 for a group size   = 7,   = 11 for a group size   = 7, and the within-group variance   = 14, then the   test value for comparing these two groups is equal to = 11 for a group size In the Scheffe test, if   = 8 for a group size   = 7,   = 11 for a group size   = 7, and the within-group variance   = 14, then the   test value for comparing these two groups is equal to = 7, and the within-group variance In the Scheffe test, if   = 8 for a group size   = 7,   = 11 for a group size   = 7, and the within-group variance   = 14, then the   test value for comparing these two groups is equal to = 14, then the In the Scheffe test, if   = 8 for a group size   = 7,   = 11 for a group size   = 7, and the within-group variance   = 14, then the   test value for comparing these two groups is equal to test value for comparing these two groups is equal to

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For three groups, the F-test can show whether or not a difference exists among three means and where the difference lies.

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A Two-Way ANOVA Summary Table is shown below. A Two-Way ANOVA Summary Table is shown below.   The critical value for the F test using   = 0.05, d.f.N. = 2, and d.f.D = 27 is 3.35. Then, The critical value for the F test using A Two-Way ANOVA Summary Table is shown below.   The critical value for the F test using   = 0.05, d.f.N. = 2, and d.f.D = 27 is 3.35. Then, = 0.05, d.f.N. = 2, and d.f.D = 27 is 3.35. Then,

(Multiple Choice)
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Assume that the conclusion from an ANOVA is that the null hypothesis is rejected, in other words that the 9 population means (from equal sized samples) are not all equal. We should expect that

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A Two-Way ANOVA Summary Table is shown below. A Two-Way ANOVA Summary Table is shown below.   The critical value for the F test using   , d.f.N. = 2, and d.f.D = 45 is 3.20. Then, The critical value for the F test using A Two-Way ANOVA Summary Table is shown below.   The critical value for the F test using   , d.f.N. = 2, and d.f.D = 45 is 3.20. Then, , d.f.N. = 2, and d.f.D = 45 is 3.20. Then,

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For a disordinal interaction, the main effects can be interpreted independently of each other.

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