Exam 11: Experimental Design and Analysis of Variance

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. Calculate 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 following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. Determine the degrees of freedom for the blocks.

In a completely randomized ANOVA,with other things equal,as the sample means get closer to each other,the probability of rejecting the null hypothesis:

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. Test H₀: There is no difference between blocks at α = .05.

A vitamin-water manufacturer wants to compare the effects on sales of three water colors: green,blue,and red.Four regions are selected for the test,with the following ANOVA results. If there is no interaction effect,test the individual null hypotheses on the effect of each factor on mean sales at α = .01.

The F test for testing the difference between means is equal to the ratio of Mean Square _____________ over Mean Square __________________.

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 treatments. What is the mean square error?

Which of the following is not an assumption for one-way analysis of variance?

In one-way ANOVA,the treatment sum of squares equals:

The error sum of squares measures the between-treatment variability.

Consider the following calculations for a one-way analysis of variance from a completely randomized design with 20 total observations. Compute a 95 percent confidence interval for the second treatment mean.

In performing a one-way ANOVA,_________ measures the variability of the observed values around their respective means by summing the squared differences between each observed value of the response and its corresponding treatment mean.

After analyzing a data set using the one-way ANOVA model,the same data are analyzed using the randomized block design ANOVA model.SS (Treatment)in the one-way ANOVA model is _______________ the SS (Treatment)in the randomized block design ANOVA model.

In a one-way analysis of variance with three treatments,each with five measurements,in which a completely randomized design is used,what is the degrees of freedom for error?

A company that fills gallon containers of water has four machines.The quality control manager needs to determine whether the average fill for these machines is the same.Looking at 19 one-gallon containers,we have the following data of fill measures (x)in quarts. And the following partial ANOVA table. Determine the degrees of freedom for the treatment,error,and total,and state the critical value of the F statistic at α = .05.

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. Determine the degrees of freedom for error.

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. What is the mean square error?

In a completely randomized (one-way)ANOVA,with other things being equal,as the sample means get closer to each other,the probability of rejecting the null hypothesis decreases.

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. Determine the degrees of freedom for treatments.