Exam 12: Analysis of Variance

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The ______________ test to detect where the difference is among the means can be used even if the sample sizes are not equal.

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Scheffé

Complete the formula for the Tukey test: q =

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Use the following to answer questions : A vending machine company wants to check three of its machines to determine if they are properly dispensing 12 ounces of coffee. Their data is given below. Use the following to answer questions : A vending machine company wants to check three of its machines to determine if they are properly dispensing 12 ounces of coffee. Their data is given below.   -Compute the test value for the coffee machines. -Compute the test value for the coffee machines.

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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 = 54 is 3.17. 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 = 54 is 3.17. Then = 0.05, d.f.N. = 2, and d.f.D = 54 is 3.17. Then

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A researcher is performing a two-way ANOVA using two factors. The first factor has 4 levels and the second factor has 5 levels. In the ANOVA Summary Table, the degrees of freedom for the first and second factors will be

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If there are 4 means to be compared, then how many possible different comparisons (such as If there are 4 means to be compared, then how many possible different comparisons (such as   compared to   ) are there altogether? compared to If there are 4 means to be compared, then how many possible different comparisons (such as   compared to   ) are there altogether? ) are there altogether?

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Use the following to answer question: The head of the English department wants to determine if the average number of students taking an English course differs depending upon the time of day that the course is being offered. Use the following to answer question: The head of the English department wants to determine if the average number of students taking an English course differs depending upon the time of day that the course is being offered.   -Is there a significant difference between the mean attendance for the classes given for   ? -Is there a significant difference between the mean attendance for the classes given for Use the following to answer question: The head of the English department wants to determine if the average number of students taking an English course differs depending upon the time of day that the course is being offered.   -Is there a significant difference between the mean attendance for the classes given for   ? ?

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The figure below is an example of what type of interaction? The figure below is an example of what type of interaction?

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In the Tukey test, if In the Tukey test, if   = 8 for a group size   = 7,   = 13 for a group size   = 7, and the within-group variance   = 21, then the q test value for comparing group 2 to group 4 is = 8 for a group size In the Tukey test, if   = 8 for a group size   = 7,   = 13 for a group size   = 7, and the within-group variance   = 21, then the q test value for comparing group 2 to group 4 is = 7, In the Tukey test, if   = 8 for a group size   = 7,   = 13 for a group size   = 7, and the within-group variance   = 21, then the q test value for comparing group 2 to group 4 is = 13 for a group size In the Tukey test, if   = 8 for a group size   = 7,   = 13 for a group size   = 7, and the within-group variance   = 21, then the q test value for comparing group 2 to group 4 is = 7, and the within-group variance In the Tukey test, if   = 8 for a group size   = 7,   = 13 for a group size   = 7, and the within-group variance   = 21, then the q test value for comparing group 2 to group 4 is = 21, then the q test value for comparing group 2 to group 4 is

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A researcher is comparing 6 groups to test if they have the same means. There are 53 data values altogether. The degrees of freedom for the Between (dfB) and the degrees of freedom for the Within (dfW) are

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The ________________ variance is made by computing the variance using all the data and is not affected by differences in the means.

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In 2-way ANOVA, effects of the independent variables are also referred to as the ________________.

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Which of the following assumptions does not apply to the two-way ANOVA?

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The figure below is an example of what type of interaction? The figure below is an example of what type of interaction?

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In a two-way ANOVA design, variable A has four levels and variable B has two levels. There are eight data values in each cell. What is the d.f.N. for factor B?

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ANOVA is an abbreviation for the following term:

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A portion of an ANOVA summary table is shown below. Calculate the F test value. A portion of an ANOVA summary table is shown below. Calculate the F test value.

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A portion of an ANOVA summary table is shown below. A portion of an ANOVA summary table is shown below.   The critical value for this problem should have dfN (degrees of freedom in the numerator) and dfD (degrees of freedom in the denominator) of The critical value for this problem should have dfN (degrees of freedom in the numerator) and dfD (degrees of freedom in the denominator) of

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Use the following to answer questions : A vending machine company wants to check three of its machines to determine if they are properly dispensing 12 ounces of coffee. Their data is given below. Use the following to answer questions : A vending machine company wants to check three of its machines to determine if they are properly dispensing 12 ounces of coffee. Their data is given below.   -Is there a significant difference between the vending machines A, B, and C? Use   . -Is there a significant difference between the vending machines A, B, and C? Use Use the following to answer questions : A vending machine company wants to check three of its machines to determine if they are properly dispensing 12 ounces of coffee. Their data is given below.   -Is there a significant difference between the vending machines A, B, and C? Use   . .

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When finding the degrees of freedom for the F-distribution, d. f. N is equal to one less than the number of groups.

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