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7.14 Topic 14: Inference for More Than Two Groups: Chi-Square and ANOVA 105. Answer the following general questions about ANOVA. (a) ANOVA is used to compare the groups. (means/proportions) of at least (b) For a test of three groups, the correct null hypothesis would be (i) Ho: P1 = P2 = P3 (ii) Ho: p1 = P2 = P3 (iii) Ho: 41 = μ12 = μ13 (iv) Ho: 1 = 2 = 3 (i) HA: P1 P2 P3 (iii) HA: not all proportions are equal (one/two/three) (c) For a test of three groups, the correct alternative hypothesis would be (ii) Ho 1₂ # μ3 (iv) HA: not all means are equal

7.14 Topic 14: Inference for More Than Two Groups: Chi-Square and ANOVA 105. Answer the following general questions about ANOVA. (a) ANOVA is used to compare the groups. (means/proportions) of at least (b) For a test of three groups, the correct null hypothesis would be (i) Ho: P1 = P2 = P3 (ii) Ho: p1 = P2 = P3 (iii) Ho: 41 = μ12 = μ13 (iv) Ho: 1 = 2 = 3 (i) HA: P1 P2 P3 (iii) HA: not all proportions are equal (one/two/three) (c) For a test of three groups, the correct alternative hypothesis would be (ii) Ho 1₂ # μ3 (iv) HA: not all means are equal

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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M.. ww !!! 7.14 Topic 14: Inference for More Than Two Groups: Chi-Square and ANOVA 105. Answer the following general questions about ANOVA. (a) ANOVA is used to compare the groups. (b) For a test of three groups, the correct null hypothesis would be (i) Ho: P1 = P2 = P3 (iii) Ho: 1 = μ2 = μ3 3.5 (c) For a test of three groups, the correct alternative hypothesis would be (i) HA: P1 P2 P3 (ii) Ho: M1 M2 = μ3 (iii) HA: not all proportions are equal (iv) HA: not all means are equal 3.0 2.5 2.0 106. Use the two scenarios presented in Figure 7.12 to answer the following question about the two sources of variability in ANOVA. 1.5 1.0 (means/proportions) of at least Scenario A Figure 7.12: Within vs Between Variability in ANOVA 2 (d) Recall that, - (ii) Ho: p1 = P2 = P3 (iv) Ho: 1 = 2 = 3 O F = 2.05 2.10 2.15 2.20 2.25 2.30 2.35 1 Scenario B MSFactor = MSError 2 O O 3 127 (one/two/three) (a) Which scenario provides stronger evidence that the difference in factor level means represents true differences in the population means? Explain why in your own words. (b) Which scenario exhibits more variability within each factor level? Is this measured by SSError or SSFactor? L (c) Which scenario exhibits more variability between each factor level? Is this measured by SSError or SSFactor? Differences due to the factor Differences due to the error so that the more variability that is explained by the factor, the larger the test statistic. Therefore, which scenario will produce a larger test statistic?
Transcribed Image Text:M.. ww !!! 7.14 Topic 14: Inference for More Than Two Groups: Chi-Square and ANOVA 105. Answer the following general questions about ANOVA. (a) ANOVA is used to compare the groups. (b) For a test of three groups, the correct null hypothesis would be (i) Ho: P1 = P2 = P3 (iii) Ho: 1 = μ2 = μ3 3.5 (c) For a test of three groups, the correct alternative hypothesis would be (i) HA: P1 P2 P3 (ii) Ho: M1 M2 = μ3 (iii) HA: not all proportions are equal (iv) HA: not all means are equal 3.0 2.5 2.0 106. Use the two scenarios presented in Figure 7.12 to answer the following question about the two sources of variability in ANOVA. 1.5 1.0 (means/proportions) of at least Scenario A Figure 7.12: Within vs Between Variability in ANOVA 2 (d) Recall that, - (ii) Ho: p1 = P2 = P3 (iv) Ho: 1 = 2 = 3 O F = 2.05 2.10 2.15 2.20 2.25 2.30 2.35 1 Scenario B MSFactor = MSError 2 O O 3 127 (one/two/three) (a) Which scenario provides stronger evidence that the difference in factor level means represents true differences in the population means? Explain why in your own words. (b) Which scenario exhibits more variability within each factor level? Is this measured by SSError or SSFactor? L (c) Which scenario exhibits more variability between each factor level? Is this measured by SSError or SSFactor? Differences due to the factor Differences due to the error so that the more variability that is explained by the factor, the larger the test statistic. Therefore, which scenario will produce a larger test statistic?
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