MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Why would a researcher choose to conduct an One-Way ANOVA rather than multiple independent samples t-tests?
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- We have presented partially completed two-way ANOVA tables for a balanced ANOVA. a. fill in the missing entries. b. determine the number of levels for each factor. c. determine the common sample size.arrow_forwardA start-up cell phone applications company is interested in determining whether household incomes are different for subscribers to two different service providers. A random sample of 25 subscribers to each of the two service providers was taken, and the annual household income for each subscriber was recorded. The partially completed ANOVA table for the analysis is below. Complete parts a and b below. 2 Click the icon to view the partially completed ANOVA table. a. Complete the ANOVA table by filling in the missing sums of squares, the degrees of freedom for each source, the mean square, and the calculated F-test statistic. ANOVA Source of Variation SS DF MS F Between groups 3,233,927,586 ? ? ? Within groups ? ? ? ? Total 9,519,942,048 ? ? ? (Round sums of squares, degrees of freedom, and mean squares to the nearest integer as needed. Round F to two decimal places as needed.) b. Based on the sample…arrow_forwardWhy do all cells in two-factor studies should have equal sample sizes?arrow_forward
- A certain HMO is attempting to show the benefits of managed care to an insurance company. The HMO believes that certain types of doctors are more cost-effective than others. One theory is that certification level is an important factor in measuring the cost-effectiveness of physicians. To investigate this, the HMO obtained independent random samples of 27 physicians from each of the three certification levels-Board certified (C): Uncertified, board eligible (E); and Uncertified, board ineligible (1)- and recorded the total per member per month charges for each (a total of 81 physicians). How many factors are present in this study? 0000 81 27 3 01arrow_forwardRightAid Inc. operates a regional chain of 120 pharmacies. Each pharmacy's floor plan includes a greeting card department which is relatively isolated. Cathy Eng, Marketing Manager, feels that the level of lighting in the greeting card department may affect sales in that department. She chooses three levels of lighting (soft, medium, and bright) and randomly assigns six pharmacies to each lighting level. Analysis of Cathy's data yielded the following ANOVA table: Source of Variation Treatment Error Total SS 49411.11 35529.17 84940.28 df 2 15 17 Using a = 0.05, the appropriate decision is MS 24705.56 2368.611 reject the null hypothesis μ₁ #2 #H3 do not reject the null hypothesis H₁ H2 H3 do not reject the null hypothesis µ1 ≥ H2 ≥ H3 reject the null hypothesis M₁ = M2 = μ3 O inconclusive F 10.4304arrow_forwardAcne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.arrow_forward
- In general, why does using a repeated-measures ANOVA increase statistical power compared to using a one-way between-groups ANOVA? Group of answer choices: a.MSbetween is lower b.MSerror is higher c.MSerror is lower d.MSbetween is higherarrow_forwardHomechooling has become very popular in the United States, and many colleges try to attract students from this group. Evidence suggests that approximately 90% of all homeschooled children attend college. To check this claim, a random sample of 208 homeschooled children was obtained, and 180 of them were found to have attended college. The researcher wishes to determine whether the proportion of homeschool children who attend college is different from 0.90. Test an appropriate hypothesis and state your conclusion. Make sure to state and check all conditions and state your conclusion in context.arrow_forwardSuppose in a two-way ANOVA table,the total sample size N is 30, factor Ahas 3 levels, and the degrees of freedom for interaction is 8. What is the degrees of freedom for error?arrow_forward
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