Question 1

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the treatment mean square?

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Question 2

What is the degrees of freedom treatment (between-group variation) of a completely randomized design (one-way) ANOVA test with 4 groups and 15 observations per each group?

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Question 3

Consider the following one-way ANOVA table.
  What is the value of the F statistic?

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 ...

Question 4

Looking at four different diets, a researcher randomly assigned 20 equally overweight individuals into each of the four diets. What are the degrees of freedom for the error?

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Question 5

ANOVA table Post hoc analysis Tukey simultaneous comparison t-values The Excel/MegaStat output given above summarizes the results of a one-way analysis of variance in an attempt to compare the performance characteristics of four brands of vacuum cleaners. The response variable is the amount of time it takes to clean a specific size room with a specific amount of dirt. Use the information above and determine a Tukey simultaneous 95 percent confidence interval for μ₁ − μ₂. The mean and sample sizes for brand 1 and brand 2 are as follows: = 2.95, = 2.28, n₁ = 4, and n₂ = 5.

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  Post hoc analysis
Tukey simultaneous...

Question 6

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the block sum of squares?

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Question 7

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the total sum of squares?

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Question 8

Consider the randomized block design with 4 blocks and 3 treatments given above. What are the degrees of freedom for blocks?

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Question 9

What is the degrees of freedom error for a randomized block design ANOVA test with 4 treatments and 5 blocks?

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Question 10

Consider the randomized block design with 4 blocks and 3 treatments given above. What are the degrees of freedom for error?

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Question 11

Consider the randomized block design with 4 blocks and 3 treatments given above. What are the degrees of freedom for treatments?

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Question 12

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the treatment sum of squares?

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Question 13

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the error sum of squares?

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Question 14

Find a Tukey simultaneous 95 percent confidence interval for μ₁ − μ₂, where = 33.98, = 36.56, and MSE = .669. There were 15 observations total and 3 treatments. Assume that the number of observations in each treatment is equal.

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Question 15

ANOVA table
  Post hoc analysis
Tukey simultaneous comparison t-values
  The Excel/MegaStat output given above summarizes the results of a one-way analysis of variance in an attempt to compare the performance characteristics of four brands of vacuum cleaners. The response variable is the amount of time it takes to clean a specific size room with a specific amount of dirt.
How many total observations were there in this experiment?

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The answer of ANOVA table
  Post hoc analysis
Tukey simultaneous...

Question 16

Looking at four different diets, a researcher randomly assigned 20 equally overweight individuals into each of the four diets. What are the degrees of freedom total?

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Question 17

Find a Tukey simultaneous 95 percent confidence interval for μ_C − μ_B, where = 51.5, = 55.8, and MSE = 6.125. There were 4 treatments and 24 observations total, and the number of observations were equal in each group.

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Question 18

Looking at four different diets, a researcher randomly assigned 20 equally overweight individuals into each of the four diets. What are the degrees of freedom for the treatments?

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Question 19

Looking at four different diets, a researcher randomly assigned 20 equally overweight individuals into each of the four diets. What are the degrees of freedom for the individual confidence intervals?

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Question 20

In a one-way analysis of variance with three treatments, each with five measurements, in which a completely randomized design is used, compute the F statistic where the sum of squares treatment is 17.0493 and the sum of squares error is 8.028.

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Quiz 12: Experimental Design and Analysis of Variance

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the treatment mean square?

What is the degrees of freedom treatment (between-group variation) of a completely randomized design (one-way) ANOVA test with 4 groups and 15 observations per each group?

Consider the following one-way ANOVA table. What is the value of the F statistic?

Looking at four different diets, a researcher randomly assigned 20 equally overweight individuals into each of the four diets. What are the degrees of freedom for the error?

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the block sum of squares?

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the total sum of squares?

Consider the randomized block design with 4 blocks and 3 treatments given above. What are the degrees of freedom for blocks?

What is the degrees of freedom error for a randomized block design ANOVA test with 4 treatments and 5 blocks?

Consider the randomized block design with 4 blocks and 3 treatments given above. What are the degrees of freedom for error?

Consider the randomized block design with 4 blocks and 3 treatments given above. What are the degrees of freedom for treatments?

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the treatment sum of squares?

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the error sum of squares?

Find a Tukey simultaneous 95 percent confidence interval for μ1 − μ2, where = 33.98, = 36.56, and MSE = .669. There were 15 observations total and 3 treatments. Assume that the number of observations in each treatment is equal.

Looking at four different diets, a researcher randomly assigned 20 equally overweight individuals into each of the four diets. What are the degrees of freedom total?

Find a Tukey simultaneous 95 percent confidence interval for μC − μB, where = 51.5, = 55.8, and MSE = 6.125. There were 4 treatments and 24 observations total, and the number of observations were equal in each group.

Looking at four different diets, a researcher randomly assigned 20 equally overweight individuals into each of the four diets. What are the degrees of freedom for the treatments?

Looking at four different diets, a researcher randomly assigned 20 equally overweight individuals into each of the four diets. What are the degrees of freedom for the individual confidence intervals?

In a one-way analysis of variance with three treatments, each with five measurements, in which a completely randomized design is used, compute the F statistic where the sum of squares treatment is 17.0493 and the sum of squares error is 8.028.

Find a Tukey simultaneous 95 percent confidence interval for μ₁ − μ₂, where = 33.98, = 36.56, and MSE = .669. There were 15 observations total and 3 treatments. Assume that the number of observations in each treatment is equal.

Find a Tukey simultaneous 95 percent confidence interval for μ_C − μ_B, where = 51.5, = 55.8, and MSE = 6.125. There were 4 treatments and 24 observations total, and the number of observations were equal in each group.