The data below was collected from a two-factor ANOVA experiment, factor A has 4 levels and factor B has 3 levels: Factor B 1 2 3 1 60 48 50 Factor A 53 50 48 46 44 49 4 51 43 52
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- Researchers investigate how the presence of cell phones influence the quality of human interaction. Subjects are randomly selected from a population and divided into an experimental group that is asked to leave their phones in the front of the room and a control group that are not asked to leave their cell phones at the front of the room. Subjects are left alone for 10 minutes and then asked to take a survey designed to measure quality of interactions they had with others in the experiment. What statistical test is appropriate?An experiment was conducted to study the life (in hours) of two different brands of batteries in threedifferent devices (radio, camera, and portable DVD player). A completely randomized two-factorexperiment was conducted, and the following data resulted.Brand Deviceof Battery Radio Camera DVD PlayerA 8.6 7.9 5.48.2 8.4 5.7B 9.4 8.5 5.88.8 8.9 5.9(a) Analyze the data and draw conclusions, using α = 0.05. (b) Investigate model adequacy by plotting the residuals. (c) Which brand of batteries would you recommend?In a single-factor ANÓVA if the value of MSreatments = 50 and MSE = 10, the value of the test statistic is: %3D O 5 O 15 O 20 O 25
- A CBS News poll involved a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below. better same worse Republican 38 104 44 Democrat 12 87 137 none 21 90 118 If we randomly select one of the adults who participated in this study, compute: (round to four decimal places) a. P(affiliated with neither party) = b. Р(same) % c. P(same | affiliated with neither party) = d. P(affiliated with neither party | same) = е. P(affiliated with neither party and same) =In a randomized block experiment with treatment Factor T , what is the purpose of doing a multiple comparison if the treatment factor effect is significant?Acne 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.
- The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 282, SSA = 27, SSB = 21, SSAB = 175. Set up the ANOVA table. (Round your values for mean squares and F to two decimal places, and your p-values to three decimal places.) Source Sum Degrees of Freedom Mean F p-value of Variation of Squares Square Factor A Factor B Interaction Error Total Test for any significant main effects and any interaction effect. Use a = 0.05. Find the value of the test statistic for factor A. (Round your answer to two decimal places.) Find the p-value for factor A. (Round your answer to three decimal places.) p-value = State your conclusion about factor A. O Because the p-value s a = 0.05, factor A is significant. O Because the p-value > a = 0.05, factor A is significant. O Because the p-value > a = 0.05, factor A is not significant. O Because the p-value sa = 0.05, factor A is not significant. Find…A mail-order catalog firm designed a factorial experiment to test the effect of the size of a magazine advertisement and the advertisement design on the number of catalog requests received (data in thousands). Three advertising designs and two different-size advertisements were considered. The data obtained follow. Size of Advertisement Small Large 8 12 12 8 26 22 Design B 18 26 6 22 14 18 Use the ANOVA procedure for factorial designs to test for any significant effects due to type of design, size of advertisement, or interaction. Use a = 0.05.Which of the following is a component of a 2 x 3 Factorial ANOVA? Factor A main effect Factor B main effect Interaction effect All of the above
- A team of epidemiologists at the Mayo Clinic wanted to find whether there is an association between obesity and cardiovascular disease (CVD). They conducted a prospective cohort study following obese and non-obese individuals who were free of CVD at the beginning of study for five years. The investigators were also interested in assessing age as a potential confounder, effect modifier, or both. Use the data below to answer the accompanying questions. CVD No CVD Total Obese 10 90 100 Not Obese 35 465 500 Total 45 555 600 CVD No CVD Total Obese 36 164 200 Not Obese 25 175 200 Total 61 339 400 1. Compute the appropriate measure of association for those who were less than age 50. 2. Compute the appropriate measure of association for those who were older or equal to age 50. 3. Compute the crude measure of association? 4. List three attributes that age must satisfy before it could…I need help with this table.A CBS News poll involved a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below. better same worse Republican 38 104 44 Democrat 12 87 137 none 21 90 118 If we randomly select one of the adults who participated in this study, compute: (round to four decimal places)a.P(Republican) = b.P(same) = c.P(same|Republican) = d.P(Republican|same) = e.P(Republican and same) =