The following matrix presents the results of a two- factor study with n = 10 scores in each of the six treatment conditions. Note that one of the treatment means is missing B1 B2 B3 A1 4 6 14 A2 2 4 A) What value for the missing mean would result in no main effect for factor A? B) What value for the missing mean would result in no interaction?
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- The following matrix presents the results of a two- factor study with n = 10 scores in each of the six treatment conditions. Note that one of the treatment means is missing
|
|
B1 |
B2 |
B3 |
|
A1 |
4 |
6 |
14 |
|
A2 |
2 |
4 |
|
A)
What value for the missing mean would result in no main effect for factor A?
B)
What value for the missing mean would result in no interaction?
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- Which of the independent variables retains the strongest association with the number of children a respondent has when all other variables in the model are controlled? What is that association? Which has the weakest when other variables are controlled?A manufacturing company designed a factorial experiment to determine whether the number of defective parts produced by two machines differed and if the number of defective parts produced also depended on whether the raw material needed by each machine was loaded manually or by an automatic feed system. following data give the numbers of defective parts produced. Loading System Manual Automatic 30 30 Machine 1 34 26 20 24 Machine 2 22 28 Use a = 0.05 to test for any significant effect due to machine, loading system, and interaction. Find the value of the test statistic for machine. (Round your answer to two decimal places.) Find the p-value for machine. (Round your answer to three decimal places.) p-value = State your conclusion about machine. O Because the p-value > a = 0.05, machine is not significant. O Because the p-value > a = 0.05, machine is significant. O Because the p-value sa = 0.05, machine is significant. O Because the p-value sa = 0.05, machine is not significant. Find the…A manufacturing company designed a factorial experiment to determine whether the number of defective parts produced by two machines differed and if the number of defective parts produced also depended on whether the raw material needed by each machine was loaded manually or by an automatic feed system. The following data give the numbers of defective parts produced. Loading System Manual Automatic 31 31 Machine 1 35 25 20 25 Machine 2 23 29 Use a = 0.05 to test for any significant effect due to machine, loading system, and interaction. Set up the ANOVA table. Assume that Factor A is Machine and Factor B is Loading System. If your answer is zero, enter "0". Source Sum of Squares Degrees Mean Square F p-value of Variation (to 2 decimals) of Freedom (to 2 decimals) (to 2 decimals) (to 2 decimals) Factor A Factor B Interaction Error Total The p-value for Factor A is - Select your answer - What is your conclusion with respect to Factor A? - Select your answer - The p-value for Factor B is -…
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- A sports psychologist studied the effect of a motivational program on number of injuries in one year among players of three different sports (baseball, football, and basketball). Players were randomly assigned to one of two conditions: either participate in a motivational program or none (control). Data was collected on the number of injuries sustained by each athlete that season. Question: If p = .024 for the main effect of sports, what should the researcher conclude?An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for pot differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect loading and unloading method, the type of ride, and interaction. Use a = 0.05. Factor A is method of loading and unloading; Factor B is the type of ride. Roller Coaster Method 1 48 50 Method 2 48 50 Type of Ride Screaming Demon Long Flume 51 45 43 41 49 46 42 Set up the ANOVA table (to whole number, but p-value to 4 decimals and F value to 2 decimal, if necessary). Do not round intermediate calculations. Source of Variation Sum of Squares Degrees of Freedom Mean Square Factor A F p-value × Factor B Interaction Error * * * * Total The p-value for…Suppose a study investigated the effects of vitamin A, vitamin C, and omega-3 fatty acids supplements on improving eye health and vision. 300 adults volunteered to take part in the study. In the study, participants were randomly assigned to one of 3 different levels of Vitamin A (Level A, Level B, or Level C) and randomly assigned to one of 2 different levels of Vitamin C (Level 1 or Level 2) and randomly assigned to one of 2 different levels of omega-3 fatty acid (Level I or Level II). a. Identify the subjects of the study. b. Identify the factor(s) for the study and the number of treatment level(s) for each factor. c. How many different treatment groups are there in this study?
- The effects of developer strength (factor A) and development time (factor B) on the density of photographic plate film were being studied. Two strengths and two development times were used, and four replicates in each of the four cells were evaluated. The results (with larger being best) are shown in the following table: At the 0.05 level of significance, a. is there an interaction between developer strength and development time? b. is there an effect due to developer strength? c. is there an effect due to development time?Which of the independent variables retains the strongest association with the number of children a respondent has when all other variables in the model are controlled?McAllister et al. (2012) compared varsity football and hockey players with varsity athletes from noncontact sports to determine whether exposure to head impacts during one season have an effect on cognitive performance. In the study, tests of new learning performance were significantly poorer for the contact sport athletes compared to the noncontact sport athletes. The following table presents data similar to the results obtained in the study. Noncontact Athletes: 10, 8, 7, 9, 13, 7, 6, 12 Contact Athletes: 7, 4, 9, 3, 7, 6, 10, 2 a. Are the test scores significantly lower for the contact sport athletes than for the noncontact athletes? Use a one-tailed test with =.05 t-critical= t= b. Compute the value of (percentage of variance accounted for) for these data. r^2= a. 0.123, b. 0.239, c. 0.138, d. 0.264