Quiz 7_CH13_Experimental Design and ANOVA

An experimental design where the experimental units are randomly assigned to the treatments is known as _____.

completely randomized design

Exhibit 13-7The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations. Source of Variation Sum ofSquares Degrees ofFreedom MeanSquare F Between treatments 64 Within treatments (Error) 96 Total ​ Refer to Exhibit 13-7. The number of degrees of freedom corresponding to within treatments is _____.

12

The number of times each experimental condition is observed in a factorial design is known as a(n) _____.

replication

Exhibit 13-7The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations. Source of Variation Sum ofSquares Degrees ofFreedom MeanSquare F Between treatments 64 Within treatments (Error) 96 Total ​ Refer to Exhibit 13-7. The computed test statistic is _____.

4

The F ratio in a completely randomized ANOVA is the ratio of _____.

MSTR/MSE

In an analysis of variance where the total sample size for the experiment is nT and the number of populations is k, the mean square within treatments is _____.

SSE/(nT - k)

The independent variable of interest in an ANOVA procedure is called _____.

a factora factor

The ANOVA procedure is a statistical approach for determining whether the means of _____.

two or more populations are equal

In an analysis of variance problem involving three treatments and 10 observations per treatment, SSE = 399.6. The MSE for this situation is _____.

14.8

Exhibit 13-7The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations. Source of Variation Sum ofSquares Degrees ofFreedom MeanSquare F Between treatments 64 Within treatments (Error) 96 Total ​Refer to Exhibit 13-7. The number of degrees of freedom corresponding to between treatments is _____.

2

Exhibit 13-1 SSTR = 6,750H0: μ1 = μ2 = μ3 = μ4SSE = 8,000Ha: At least one mean is differentnT = 20 ​​Refer to Exhibit 13-1. The mean square between treatments (MSTR) equals _____.

2,250

The critical F value with 6 numerator and 60 denominator degrees of freedom at α = .05 is _____.

2.25

An ANOVA procedure is used for data that were obtained from four sample groups each comprised of five observations. The degrees of freedom for the critical value of F are _____.

3 and 16

Exhibit 13-1 SSTR = 6,750H0: μ1 = μ2 = μ3 = μ4SSE = 8,000Ha: At least one mean is differentnT = 20 ​ Refer to Exhibit 13-1. The null hypothesis is to be tested at the 5% level of significance. The critical value from the table is _____.

3.24

Exhibit 13-7The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations. Source of Variation Sum ofSquares Degrees ofFreedom MeanSquare F Between treatments 64 Within treatments (Error) 96 Total ​Refer to Exhibit 13-7. If at a 5% level of significance, we want to determine whether or not the means of the populations are equal, the critical value of F is _____.

3.89

Exhibit 13-7The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations. Source of Variation Sum ofSquares Degrees ofFreedom MeanSquare F Between treatments 64 Within treatments (Error) 96 Total ​ Refer to Exhibit 13-7. The mean square between treatments (MSTR) is _____.

32

Question 12 (1.25 points) Exhibit 13-1 SSTR = 6,750H0: μ1 = μ2 = μ3 = μ4SSE = 8,000Ha: At least one mean is differentnT = 20 ​Refer to Exhibit 13-1. The test statistic to test the null hypothesis equals _____.

4.5

In an analysis of variance problem, if SST = 120 and SSTR = 80, then SSE is _____.

40

Exhibit 13-1 SSTR = 6,750H0: μ1 = μ2 = μ3 = μ4SSE = 8,000Ha: At least one mean is differentnT = 20 ​Refer to Exhibit 13-1. The mean square within treatments (MSE) equals _____.

500

Exhibit 13-7The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations. Source of Variation Sum ofSquares Degrees ofFreedom MeanSquare F Between treatments 64 Within treatments (Error) 96 Total ​ Refer to Exhibit 13-7. The conclusion of the test is that the means _____.

are not equal

In the ANOVA, treatment refers to _____.

different levels of a factor

A term that means the same as the term "variable" in an ANOVA procedure is _____.

factor

The required condition for using an ANOVA procedure on data from several populations is that the _____.

selected samples are dependent on each other

Exhibit 13-1 SSTR = 6,750H0: μ1 = μ2 = μ3 = μ4SSE = 8,000Ha: At least one mean is differentnT = 20 ​Refer to Exhibit 13-1. The null hypothesis _____.

should be rejected

In the analysis of variance procedure (ANOVA), factor refers to _____.

the independent variable