Stats Ch 13

In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments. The following information is provided. SSTR = 200 (Sum Square Between Treatments) SST = 800 (Total Sum Square) The mean square within treatments (MSE) is _____.

10

Part of an ANOVA table is shown below. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 64 8 Within Treatments 2 Error Total 100 The number of degrees of freedom corresponding to within treatments is _____.

18

An ANOVA procedure is used for data obtained from three populations. There were three samples, each comprised of 20 observations, taken from the three populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F are _____.

2 and 57

The critical F value with 9 numerator and 60 denominator degrees of freedom at α = 0.05 is _____.

2.04

Part of an ANOVA table is shown below. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 64 8 Within Treatments 2 Error Total 100 If at a 5% significance level we want to determine whether or not the means of the populations are equal, the critical value of F is _____.

2.93

SSTR = 6,750 SSE = 8,000 H0: μ1 = μ2 = μ3 = μ4 Ha: At least one mean is different nT = 20 The null hypothesis is to be tested at the 5% level of significance. The critical value from the table is _____.

3.24

Part of an ANOVA table is shown below. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 180 3 Within Treatments Error Total 480 18 If at a 5% level of significance, we want to determine whether the means of the populations are equal, the critical value of F is _____.

3.29

The critical F value with 7 numerator and 27 denominator degrees of freedom at α = 0.01 is _____.

3.39

The following is part of an ANOVA table, which was the result of three treatments and a total of 15 observations. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 64 Within Treatments 96 Error Total The mean square between treatments (MSTR) is _____.

32

In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments. The following information is provided. SSTR = 200 (Sum Square Between Treatments) SST = 800 (Total Sum Square) The number of degrees of freedom corresponding to between treatments is _____.

4

Part of an ANOVA table is shown below. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 64 8 Within Treatments 2 Error Total 100 The number of degrees of freedom corresponding to between treatments is _____.

4

An ANOVA procedure is used for data obtained from five populations. Five samples, each comprised of 20 observations, were taken from the five populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F are _____.

4 and 95

In a completely randomized experimental design involving six treatments, 11 observations were recorded for each of the six treatments. The following information is provided. SSTR = 400 (Sum Square Between Treatments) SST = 700 (Total Sum Square) The mean square within treatments (MSE) is _____.

5

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

5 and 36

Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 2,073.6 4 Between Blocks 6,000 5 1,200 Error 20 288 Total 29 The sum of squares due to error equals _____.

5,760

SSTR = 6,785 SSE = 8,000 H0: μ1 = μ2 = μ3 = μ4 Ha: At least one mean is different nT = 20 The test statistic to test the null hypothesis equals _____.

5.17

SSTR = 6,750 SSE = 8,000 H0: μ1 = μ2 = μ3 = μ4 Ha: At least one mean is different nT = 20 The mean square within treatments (MSE) equals _____.

500

Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 2,073.6 4 Between Blocks 6,000 5 1,200 Error 20 288 Total 29 The mean square between treatments equals _____.

518.4

In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments. The following information is provided. SSTR = 300 (Sum Square Between Treatments) SST = 900 (Total Sum Square) The sum of squares within treatments (SSE) is _____.

600

In a completely randomized experimental design involving eight treatments, 13 observations were recorded for each of the eight treatments. The following information is provided. SSTR = 300 (Sum Square Between Treatments) SST = 800 (Total Sum Square) The number of degrees of freedom corresponding to between treatments is _____.

7

In a completely randomized experimental design involving seven treatments, 14 observations were recorded for each of the seven treatments. The following information is provided. SSTR = 100 (Sum Square Between Treatments) SST = 900 (Total Sum Square) The number of degrees of freedom corresponding to within treatments is _____.

91

When an analysis of variance is performed on samples drawn from k populations, the mean square between treatments (MSTR) is _____.

SSTR/(k - 1)

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

factor

An experimental design that permits statistical conclusions about two or more factors is a _____.

factorial design

In factorial designs, the response produced when the treatments of one factor interact with the treatments of another in influencing the response variable is known as _____.

interaction

The mean square is the sum of squares divided by _____.

its corresponding degrees of freedom

Part of an ANOVA table is shown below. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 180 3 Within Treatments Error Total 480 18 The conclusion of the test is that the means _____.

may be equal

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the three treatments. You are given the results below. Treatment Observation A 20 30 25 33 B 22 26 20 28 C 40 30 28 22 The null hypothesis _____.

should not be rejected

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

two or more populations are equal

In ANOVA, which of the following is NOT affected by whether or not the population means are equal?

within-samples estimate of σ2