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
