Exam 12: Experimental Design and Analysis of Variance

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

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

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?

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

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.

Find a Tukey simultaneous 95 percent confidence interval for μ₁ - μ₂,where

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

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.

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.

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

Experimental data are collected so that the values of the dependent variables are set before the values of the independent variable are observed.

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.

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

Consider a two-way analysis of variance experiment with treatment factors A and B Feedback: MSE = 300/90 = 3.33B.The results are summarized below. Source of Variation df SS Factor A 4 86 Factor B 5 75 Interaction 20 75 Error 90 300 Total 119 536 Compute the mean square and F,and test the null hypothesis that no interaction exists between factors A and B at α = .05. F_int = 1.13 < F_.05,20,90 = 1.75,so we cannot reject the null hypothesis.Thus,we conclude that no interaction exists between Factors A and B

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

Consider a two-way analysis of variance experiment with treatment factors A and B,with factor A having four levels and factor B having three levels.The results are summarized below.

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.

Consider the one-way ANOVA table.

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