Exam 11: Experimental Design and Analysis of Variance

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

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A sum of squares that measures the total amount of variability in the observed values of the response variable is referred to as the:

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In one-way ANOVA,the numerator of the F statistic is an estimate of the population variance based on within-treatment variation.

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Different levels of a factor are called ____________.

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Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments. Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 treatments.   What is the calculated F statistic for blocks? What is the calculated F statistic for blocks?

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

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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 treatments?

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The advantage of the randomized block design over the completely randomized design is that we are comparing the treatments by using ________ experimental units.

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The dependent variable,the variable of interest in an experiment,is also called the ___________ variable.

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

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If factors being studied cannot be controlled,the data are said to be observational.

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The ANOVA procedure for a two-factor factorial experiment partitions the total sum of squares into three components,SS first factor,SS second factor,and SSE.

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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. 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.   Is there a significant difference in the fill amounts of the four machines at α = .05 to reject the null hypothesis? And the following partial ANOVA table. 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.   Is there a significant difference in the fill amounts of the four machines at α = .05 to reject the null hypothesis? Is there a significant difference in the fill amounts of the four machines at α = .05 to reject the null hypothesis?

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In general,a Tukey simultaneous 100(1 - α)percent confidence interval is _________ than the corresponding individual 100(1 - α)percent confidence interval.

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In one-way ANOVA,the numerator degrees of freedom equals the number of samples being compared.

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Consider the one-way ANOVA table. Consider the one-way ANOVA table.   What is the mean square error? What is the mean square error?

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

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

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