The following matrix presents the results from an independent-measures, two-factor study with a sample of n = 10 participants in each treatment condition. Note that one treatment mean is missing.
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The following matrix presents the results from an independent-measures, two-factor study with a sample of n = 10 participants in each treatment condition. Note that one treatment
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B1 |
B2 |
A1 |
5 |
8 |
A2 |
3 |
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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 main effect for factor B?
C)
What value for the missing mean would result in no interaction?
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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?A researcher conducts a two-way ANOVA to determine how eating breakfast affects children's grades in school. Factor A has three levels: no breakfast, sugary breakfast, high protein breakfast. Factor B has two levels: males and females. Factor B has no main effect and there is no interaction effect. It is safe to conclude that _________. a. Factor A does not influence the participant's grades b. Factor B does not influence the participant's grades c. Factor A has an influence on the participant's grades d. Factor B has an influence on the participant's grades Clear my choiceA 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…
- 3. A researcher was interested in the effects of a drug on depression. Subjects were randomly assigned to one of the three groups. Subjects in the control group received a placebo and the subjects in the two treatment groups received either a 0.2 mg or a 0.4 mg dosage of the drug. After several weeks of drug (or placebo) treatment, the researcher measured the subjects' level of depression (a low score indicating greater depression) The following data were obtained. Placebo 0.2 mg 0.4 mg 12 11 12 8 10 9 9 14 11 11 17 13 13 16 15 7 16 12 Mean of X = 10 14 12 S^2 = 5.6 8.4 4 Using 5% of significance, test the hypothesis that the three groups differ in their effectiveness.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. 0.264McAllister 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 two-tailed test with =.05 b. What sampling technique was most likely employed by the researcher? justify your answer c. Does exposure to head impacts have an effect on cognitive performance? why or why not
- Siegel (1990) found that elderly people who owned dogs were less likely to pay visits to their doctors after upsetting events than were those who did not own pets. Similarly, consider the following hypothetical data. A sample of elderly dog owners is compared to a similar group (in terms of age and health) who do not own dogs. The researcher records the number of doctor visits during the past year for each person. The data are as follows. Control group:10,8,7,9,13,7,6,12 Dog owners: 7, 4,9,3,7 a. In words and symbols, state the null hypothesis and the alternative hypothesis using a two-tailed test. By hand, compute the degrees of freedom and report the appropriate critical value for a two-tailed test at the α < .05 level. By hand, compute the SS for both groups. By hand, compute the pooled variance for these data. By hand, compute the appropriate test to determine if significant differences occur between these groups. By hand, calculate the appropriate statistical test to…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 Contact Athletes 10 7 8 4 7 9 9 3 13 7 7 6 6 10 12 2 Are the neurological test scores significantly lower for the contact athletes than for the noncontact athletes in the control group? Use a one-tailed test with α = .05. Compute the value of r² (percentage of variance accounted for) for these data.A researcher conducts an independent-measures, two factor study with two levels of factor A and two levels of factor B, using a sample of n = 8 participants in each treatment condition. a. What are the df values for the F-ratio evaluating the main effect of factor A? b. What are the df values for the F-ratio evaluating the main effect of factor B? c. What are the df values for the F-ratio evaluating the interaction?
- A U.S. study published in The American Journal of Preventive Medicine compared state-level prevalence of firearm ownership in 2002 with state-level rates of firearm assault and firearm robbery in the subsequent year. The investigators found a positive association - meaning that states with higher prevalence of firearm ownership also tended to be the states with higher rates of firearm assault. Which design best describes this study? a)Observational cohort study b)Randomized trial c)Case-control study d)Ecological studyWhich 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. 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 -…