How many separate groups of participants would be needed for a two-factor ANOVA with 3 levels of factor A and 3 levels of factor B?
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Q: What is the Two-Factor ANOVA which is in one set of possible outcomes for the two-factor study?
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Q: Describe In what sense does a two-factor ANOVA use observations more efficiently than a one-factor…
A: Solution: One-Way ANOVA compares three or more levels of one factor.However, some experiments…
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Q: What is Two-Factor ANOVA?
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How many separate groups of participants would be needed for a two-factor ANOVA with 3 levels of factor A and 3 levels of factor B?
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- A researcher uncovers that there is a significant interaction between the factor of marital status (i.e., married or non-married) and participant sex (i.e., male or female) regarding well-being among a sample with n = 6 participants in each condition. A researcher decides to compare the difference in well-being between married men and women. The MSwithin treatments from the original two-factor analysis is MSwithin treatments = 1.00. What is the F-ratio for this comparison using the matrix below, which depicts descriptive statistics regarding married participants? __________________________________________________________________________________________ Participant Sex Males Females __________________________________________________________________ n = 6 n = 6 N =12 M = 4…An epidemiologist found five cases of “big toe cancer” in the Yukon Territory. Because there were only a few cases, the epidemiologist decided to conduct a matched case-control study to determine whether shoe size larger than 9 is a risk factor for big toe cancer. Cases were individually matched to one control for daily activity, history of athlete’s foot, and history of ingrown toenails. The following data were gathered: Shoe size > 9 Pair Case Control 1 Yes No 2 No No 3 No Yes 4 Yes Yes 5 No Yes Compute the proper measure of association. Interpret your results. If you were to investigate a rare cancer in Lynchburg, where might you look for data? What would be necessary legally and ethically to be able to utilize this data set(s)? Submit your thread by 11:59 p.m. (ET) on Thursday of Module/Week 3, and submit your replies by 11:59 p.m. (ET) on Sunday of the same module/week. 1Last year, an engineer assigned to manage Salalah festival in which he conducted a survey for the visitors who received a tourism promotion for Salalah. Out of all people received the tourism promotion for Salalah, 60% of the promoted people visited Salalah. Due to effective marketing advertisement during the festival and the good engineering management for the event, 3s% out of the promoted people who have not visited Salalah yet, want to visit it during the coming years. At the same time, 40% of the promoted people who have been to the city, want to visit Salalah again during the coming years.
- How many degrees of freedom will the error have in a randomized block design with five treatments and three blocks?Obesity and being overweight is caused by excessive adipose tissues, or body fat. Visceral fat, surrounding internal organs, is clearly associated with heart disease and diabetes. Subcutaneous fat, found just below the skin (often in the buttocks and thighs), is not. A study examined the impact of exercise type on visceral and subcutaneous fat. Overweight, sedentary, but otherwise disease-free adults were randomly assigned to 3 exercise regimens for eight months: aerobic training, resistance training, aerobic plus resistance training. All exercise sessions were supervised to ensure correct completion. The subjects' body fat amount was assessed with computed tomography imaging (in cm2) at the beginning and end of the experiment. The study report contains the following information about the visceral fat reduction (in cm2) achieved by the subjects in each group (note that the reduction is indicated as a positive value): Treatment n x s Aerobic training 36 25.7 32 Resistance…Write a short note on Two-Factor ANOVA.
- In a research study to test a new drug on patients with brain cancer, patients were divided into 2 groups randomly. One group received the drug and the other group did not receive the drug. After 6 weeks, the measured results showed reduction in symptoms among the first group who received the drug. Is this an example of an observational study or experimental study? If it is an experiment, what is the controlled factor?A banana grower has three fertilizers from which to choose. He would like to determine which fertilizer produces banana trees with the largest yield (measured in pounds of bananas produced). The banana grower has noticed that there is a difference in the average yields of the banana trees depending on which side of the farm they are planted (South Side, North Side, West Side, or East Side), therefore, a randomized block design is used in the study. Because of the variation in yields among the areas on the farm, the farmer has decided to randomly select three trees within each area and then randomly assign the fertilizers to the trees. After harvesting the bananas, he calculates the yields of the trees within each of the areas. Can the banana grower conclude that there is a significant difference among the average yields of the banana trees for the three fertilizers? The results are as follows. Average Yield of Banana Trees Side of Farm Fertilizer A Fertilizer B Fertilizer C…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 Gender by Minority Classification interaction is significant, describe the interaction. Include individual means and their corresponding standard deviations in your description.
- A banana grower has three fertilizers from which to choose. He would like to determine which fertilizer produces banana trees with the largest yield (measured in pounds of bananas produced). The banana grower has noticed that there is a difference in the average yields of the banana trees depending on which side of the farm they are planted (South Side, North Side, West Side, or East Side), therefore, a randomized block design is used in the study. Because of the variation in yields among the areas on the farm, the farmer has decided to randomly select three trees within each area and then randomly assign the fertilizers to the trees. After harvesting the bananas, he calculates the yields of the trees within each of the areas. Can the banana grower conclude that there is a significant difference among the average yields of the banana trees for the three fertilizers? The results are as follows. Average Yield of Banana Trees Side of Farm Fertilizer A Fertilizer B Fertilizer C…The FAA is interested in knowing if there is a difference in the average number of on-time arrivals for four of the major airlines. The FAA believes that the number of on-time arrivals varies by airport, therefore, a randomized block design is used for the study. To control for this variation, they randomly select 100100 flights for each of the major airlines at each of four randomly selected airports and record the number of on-time flights. Can the FAA conclude that there is a significant difference among the average number of on-time arrivals for the four major airlines? The results of the study are as follows. Average Number of On-Time Arrivals Airport Airline A Airline B Airline C Airline D Airport A 9090 8282 8080 8383 Airport B 8282 7070 7474 7979 Airport C 8787 8484 7676 8888 Airport D 9090 7979 7979 9090 Copy DataANOVA Source of Variation SSSS dfdf MSMS Rows 181.6875181.6875 33 60.562560.5625 Columns 278.6875278.6875 33 92.895892.8958 Error…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?
