28. In a Two-Way ANOVA, it is possible to get a significant interaction effect even if the main effects of factors A and B are not significant.
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Q: 31. An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading…
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- 9. A researcher finds that for female applicants, the likelihood of being hired for a job increases as their work experience increases. However, for male applicants, the likelihood of being hired decreases as their work experience increases. This finding would suggestgender and work experience have no effect on likelihood of being hired for a job. a main effect of work experience (little or a lot). an interaction between gender and work experience. a main effect of gender (male or female).True or False: In a model with an interaction variable, we can drop the interaction term if its pvalue>.052
- Psychologists have identified 20 clients, 10 women and 10 men, and divided them into groups of five to determine the effect of matching the sex of the client and the sex of the therapist on the number of activities of daily living (ad1) performed by depressed clients. (a) Identify one of the independent variables. (b) Identify the other independent variable. (c) identify the dependent variable. (d) Using SPSS test all main and interaction effects at the .05 level of significance. Create a table including the cell means and marginal means and label each variable and level. State your null decision and conclusion (step 5 hypothesis testing) for all main and interaction effects. Label each effect clearly. Report in APA format the F statistics for all main and interaction effects. Be sure to report the best p-value possible.4. A pharmaceutical company wants to test whether the incidence of side effects (i.e. adverse events)differs between the treatment and placebo groups at theα= 0.05. Letp1= the proportion of subjects in the treatment groups who experienced at least one adverse event and letp2= the proportion of subjects in the placebo group who experience at least one adverse event. 8 out of 30 people in the treatment group experienced at least one adverse event and 5 out of 30 people in the placebo group experienced at least one adverse event. (a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret them in the context of the problem) (b) Calculate the test statistic (c) Calculate the critical value (d) Draw a picture of the distribution of the test statistic under H0. Label and provide values for the critical value and the test statistic, and shade the critical region. (e) Make and justify a statistical decision at theα= 0.05 level and state your conclusions in…A group of psychologists recently examined the how odor influences emotion between male and female. Three groups of participants (half male, half female) were first subjected to different types of smell (pleasant, neutral, and unpleasant), and then filled out questionnaire of happiness. The data present the pattern of results obtained in the study, higher score indicating a higher level of happiness. Conduct a hypothesis testing with α = .05 to evaluate the main effects and interactions (follow the four-step procedure).(15 points, be careful with the computation) Calculate the effect size (partial η2) for the main effects and the interaction. (2 points) Report your results in APA style (2 points) Odor pleasant neutral unpleasant Male n = 5 n = 5 n = 5 M = 5 M =10 M =15 SS = 10 SS = 10 SS = 10 Female n = 5 n = 5 n = 5 M =10 M =15 M =20 SS = 10 SS = 10 SS =10
- 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 potential 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 due to the 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. Type of Ride Roller Coaster Screaming Demon Long Flume Method 1 49 50 47 51 42 43 Method 2 48 46 47 50 42 43 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 F p-value Factor A Factor B Interaction Error Total The p-value…And conduct a two-factor ANOVA to investigate the effects of gender (The name of the variable in SPSS is "gender" and it has two levels, "male" vs. "female") and "minority classification" (In SPSS, the name of the variable is "minority", its label is "Minority Classification" ,and it has two levels "yes" and "no"; referring to whether an individual is part of a minority or not ) on beginning salary (In SPSS the name of the variable is "salbegin", and its label is "Beginning Salary). Use α = .05 a. If the main effect of Minority Classification is significant, describe the main effect of Minority Classification. Include the overall means and corresponding standard deviations in your description. Example = If there is a main effect of maternal diet, is the main effect of maternal diet significant? Why? Provide F-statistic, df of numerator, df of denominator, and p- value? Yes, the main effect of maternal diet is significant because p is less than alpha, F(1,16) = 40.67, p = .0001In the vast country of China lives one of the critically endangered species in the world, called the South China Tiger. Suppose enough jungle preserve is set aside so that there is suffcient room for more territories of this tiger specie than there are actual South China Tigers themselves. Hence, there will be no danger of overcrowding. But if the population is too small, the South China Tigers will have difficulty finding each other during mating season. 1. Identify the independent and dependent variables, and the parameters to be used. 2. Construct a population model based on the relevant assumptions. 3. Write a differential equation that models the population of South China Tigers.
- It is hypothesized that the total sales of a corporation should vary more in an industry with active price competition than in one with duopoly and tacit collusion. In a study of the merchant ship production industry it was found that in 4 years of active price competition, the variance of company A’s total sales was 114.09. In the following 7 years, during which there was duopoly and tacit collusion, this variance was 16.08. Assume that the data can be regarded as an independent random sample from two normal distributions. 1. Test, at the 5% level, the null hypothesis that the two population variances are equal against the alternative that they are not equal.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 potential 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 due to the loading and unloading method, the type of ride, and interaction, Use a = ,05. Factor A is method of loading and unloading; Factor B is the type of ride. Type of Ride Roller Coaster Screaming Demon Long Flume Method 1 48 56 51 50 48 47 Method 2 51 55 52 53 51 48 a. Set up the ANOVA table (to 2 decimal, if necessary). Round p-value to four decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square p-value Factor A Factor B Interaction Error TotalAn 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 potential 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 due to the 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. Type of Ride Roller Coaster Screaming Demon Long Flume Method 1 47 51 54 49 43 50 Method 2 51 47 50 53 43 46 Set up the ANOVA table (to whole number, but -value to 2 decimals and value to 1 decimal, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F -value Factor A Factor B Interaction…
