Exam 11: Statistical Inferences for Population Variances

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If the total sum of squares in a one-way analysis of variance is 25 and the treatment sum of squares is 17,then what is the error sum of squares?

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In one-way ANOVA,as the between-treatment variation decreases,the probability of rejecting the null hypothesis increases.

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Different levels of a factor are called ____________.

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

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If sample mean plots look essentially parallel,we can intuitively conclude that there is an interaction between the two factors.

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In one-way ANOVA,a large value of F results when the within-treatment variability is large compared to the between-treatment variability.

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In one-way ANOVA,other factors being equal,the further apart the treatment means are from each other,the more likely we are to reject the null hypothesis associated with the ANOVA F test.

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

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

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The ___________________ units are the entities (objects,people,etc. )to which the treatments are assigned.

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We have just performed a one-way ANOVA on a given set of data and rejected the null hypothesis for the ANOVA F test.Assume that we are able to perform a randomized block design ANOVA on the same data.For the randomized block design ANOVA,the null hypothesis for equal treatments will __________ be rejected.

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When using a randomized block design,the interaction effect between the block and treatment factors cannot be separated from the error term.

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

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A one-way analysis of variance is a method that allows us to estimate and compare the effects of several treatments on a response variable.

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