Consider the data that is summarized in the ANOVA table below. Source d.f. Sum of Squares...
Consider the data that is summarized in the ANOVA table
below.
Test the hypothesis H0 : μ1 = μ1 = … = μk vs H1 : μi ≠ μj for at least one pair (i, j) |
| (a) | [2 marks] What is the value of the test statistic? |
| (b) | [1 mark] What is the 5% critical value? |
Homework Answers
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Consider the data that is summarized in the ANOVA table
below.
Source
d.f.
Sum of Squares...
The ANOVA summary table for an experiment with six groups, with five values in each group,...
The ANOVA summary table for an experiment with six groups, with five values in each group, is shown to the right. Complete parts (a) through (d) below. Source Degrees of Freedom Sum of Squares Mean Square (Variance) F Among groups C −1 =55 SSA=150 MSA =3030 FSTAT =3.003.00 Within groups n- c = 2424 SSW =240 MSW =1010 Total N −1 =2929 SST = 390 a. At the 0.05 level of significance, state the decision rule...
Consider the partially completed one-way ANOVA summary table below. a) Complete the remaining entries in the...
Consider the partially completed one-way ANOVA summary table below. a) Complete the remaining entries in the table. b) How many population means are being tested? c) Using alphaαequals=0.010.01, what conclusions can be made concerning the population means? Source Sum of Squares Degrees of Freedom Mean Sum of Squares F Between 129129 ? ? ? Within ? 2020 ? Total 269269 2323 LOADING... Click the icon to view a table of critical F-scores. a) Complete the ANOVA table below. Source Sum...
Source Between treatments Within treatments Sum of Squares (Ss) df Mean Square (MS) 2 310,050.00 2,650.00 In some ANOVA summary tables you will see, the labels in the first (source) column are Treatm...
Source Between treatments Within treatments Sum of Squares (Ss) df Mean Square (MS) 2 310,050.00 2,650.00 In some ANOVA summary tables you will see, the labels in the first (source) column are Treatment, Error, and Total Which of the following reasons best explains why the within-treatments sum of squares is sometimes referred to as the "error sum of squares"? O Differences among members of the sample who received the same treatment occur when the researcher O Differences among members of...
The following represents partial results for a one-way ANOVA: Source d.f. Sums of Squares Mean Squares...
The following represents partial results for a one-way ANOVA: Source d.f. Sums of Squares Mean Squares F-test Between 2 300 Within Total 23 800 Given the above partially completed ANOVA table, what is the value of the F-test to determine if there is a significant difference in population means? A. 15.67 B. 6.3 C. .375 D. 2.67
3. Complete the regression ANOVA table below: n=26 (x.y) pairs Source of Variance Sum of Squares...
3. Complete the regression ANOVA table below: n=26 (x.y) pairs Source of Variance Sum of Squares DOF d.f. Mean Squares F Regression 1746 FSTAT= Error 8640 Fcrit= Total 10386 XXXXXXXXXXXXXXX Α = .05
What is the treatment sum of squares? What is the error sum of squares? What is...
What is the treatment sum of squares?
What is the error sum of squares?
What is the treatment mean square?
What is the block mean square?
What is the mean square error?
What is the value of the F statistic for blocks?
Can we reject the Null Hypothesis? Why?
Test H0: there is no difference between treatment
effects at α = .05.
Block Treatment Mean Treatment Tr1 T2 Tr3 Block Mean 2 1 3 1 4 4 რ Nw NN...
21) Consider the partially completed one-way ANOVA summary table. Degrees of Mean Sum Freedom of Squares...
21) Consider the partially completed one-way ANOVA summary table. Degrees of Mean Sum Freedom of Squares Sum of Source Squares Between 330 Within Total 1810 1 16 9 The F-test statistic for this ANOVA procedure is A) 2.33 B) 7.33 C) 5.67 D) 3.67
Consider the partially completed cne-way ANOVA summary table below. a) Complete the remaining entries in the...
Consider the partially completed cne-way ANOVA summary table below. a) Complete the remaining entries in the table. b) How many population means are being tested? c) Using α-0.05, what conclusions can be made concerning the population means? Source Between Within Total Sum of Squares De of Freedom Mean Sum of Squares 112 193 19 Click the icon to view a table of critical F-sccres for a 0.05. a) Complete the ANOVA table below. Sum of Degrees of Mean Sum of...
e. Set up the ANOVA table for this problem. Round all Sum of Squares to nearest...
e. Set up the ANOVA table for this problem. Round all Sum of Squares to nearest whole numbers. Round all Mean Squares to one decimal places. Round F to two decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatments Error Total f. At the α-.05 level of significance, test whether the means for the three treatments are equal The p-value is less than.01 What is your conclusion? Select The following data are from a...
Exhibit 13-5 Part of an ANOVA table is shown below. Source of Variation Sum of Squares...
Exhibit 13-5 Part of an ANOVA table is shown below. Source of Variation Sum of Squares Degrees of Freedom F Mean Square 180 3 Between treatments Within treatments (Error) Total 480 18 Refer to Exhibit 13-5. The mean square between treatments (MSTR) is a. 300 b. 60 O c. 15 O d. 20
Source Between treatments Within treatments Sum of Squares (Ss) df Mean Square (MS) 2 310,050.00 2,650.00 In some ANOVA summary tables you will see, the labels in the first (source) column are Treatment, Error, and Total Which of the following reasons best explains why the within-treatments sum of squares is sometimes referred to as the "error sum of squares"? O Differences among members of the sample who received the same treatment occur when the researcher O Differences among members of...
What is the treatment sum of squares?
What is the error sum of squares?
What is the treatment mean square?
What is the block mean square?
What is the mean square error?
What is the value of the F statistic for blocks?
Can we reject the Null Hypothesis? Why?
Test H0: there is no difference between treatment
effects at α = .05.
Block Treatment Mean Treatment Tr1 T2 Tr3 Block Mean 2 1 3 1 4 4 რ Nw NN...
21) Consider the partially completed one-way ANOVA summary table. Degrees of Mean Sum Freedom of Squares Sum of Source Squares Between 330 Within Total 1810 1 16 9 The F-test statistic for this ANOVA procedure is A) 2.33 B) 7.33 C) 5.67 D) 3.67
Consider the partially completed cne-way ANOVA summary table below. a) Complete the remaining entries in the table. b) How many population means are being tested? c) Using α-0.05, what conclusions can be made concerning the population means? Source Between Within Total Sum of Squares De of Freedom Mean Sum of Squares 112 193 19 Click the icon to view a table of critical F-sccres for a 0.05. a) Complete the ANOVA table below. Sum of Degrees of Mean Sum of...
e. Set up the ANOVA table for this problem. Round all Sum of Squares to nearest whole numbers. Round all Mean Squares to one decimal places. Round F to two decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatments Error Total f. At the α-.05 level of significance, test whether the means for the three treatments are equal The p-value is less than.01 What is your conclusion? Select The following data are from a...
Exhibit 13-5 Part of an ANOVA table is shown below. Source of Variation Sum of Squares Degrees of Freedom F Mean Square 180 3 Between treatments Within treatments (Error) Total 480 18 Refer to Exhibit 13-5. The mean square between treatments (MSTR) is a. 300 b. 60 O c. 15 O d. 20
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