The following results are from an independent-measures, two-factor study 5 participants in each treatment condition. Use a two-factor ANOVA with .05 to evaluate the main effects and the interaction. = Source Between Treatments SS 400 df LO 5 MS F
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For the null and alternative hypotheses for A and B (there is a main effect due to A/B), they are the same. Why? (There might have been an error here so I'm trying to clear it up).
- The following results are from an independent-measures, two-factor study with n=5 participants in each treatment condition. Use a two-factor ANOVA with α=.05 to evaluate the main effects and the interaction.For a two-factor ANOVA with two levels of factor A, two levels of factor B, and a separate sample of n = 8 participants in each treatment condition, the two means for level A1 are 3 and 5, and the two means for level A2 are 4 and 2. For these data, what is the value of SSbetween treatments?A cross-sectional study is conducted to investigate cardiovascular disease (CVD) risk factors among a sample of patients seeking medical care at one of three local hospitals. A total of 500500 patients are enrolled. Based on the following data, we would like to determine if there is a significant association between the family history of CVD and the enrollment site. Enrollment Site Family History of CVD Hospital 1 Hospital 2 Hospital 3 Total Yes 34 8 58 100 No 104 72 224 400 Total 138 80 282 500 Given: The value of the test statistic is χ2= 6.912 Use α=0.1 as the level of significance. The superintendent of Hospital 2 performed the Goodness of Fit Test to test whether 25% of the patients go to Hospital 1, 15% of the patients go to Hospital 2 and 60% of the patients go to Hospital 3. Given: The superintendent found that the pp-value for the test is 0.25091 Let: p1=p1= be the proportion of patients at Hospital 1 p2=p2= be the proportion of patients at…
- A study was performed on 200 elementary school students to investigate whether regular Vitamin A supplementation was effective in preventing colds during the month of March. 100 were randomized to receive daily Vitamin A supplements during the month of March, and 100 students were randomized to a placebo group (and did not receive Vitamin A) during the same month. The number of students getting at least one cold in March was computed in the two groups, and the results are given in the following 2 X 2 table. Using a 5% level of significance determine whether there is an association between Vitamin A supplementation and prevention of Common Cold ColdNo Cold Vitamin A1585100 Placebo2575100 40160200A study in Sweden looked at former elite soccer players, people who had played soccer but not at the elite level, and people of the same age who did not play soccer. Here is a two-way table that classifies these subjects by whether or not they had arthritis of the hip or knee by their mid-fifties: Elite Non-elite Did not play Arthritis 10 9 24 No arthritis 61 206 548 Based on this study, you can conclude thatConsider the following actual data from a study by Lyon and Greenberg (1991). The first factor in their factorial ANOVA was family background; female participants were classified into two groups (Group 1: codependent, women with an alcoholic parent; Group 2: non-codependent, women with nonalcoholic parents). Members of these two groups were randomly assigned to one of two conditions; they were asked to donate time to help a man who was described to them as either Mr. Wrong (exploitative, selfish, and dishonest) or Mr. Right (nurturant, helpful). The researchers predicted that women from a non-codependent/nonalcoholic family background would be more helpful to a person described as nurturant and helpful, whereas women from a codependent/alcoholic family background would be more helpful to a person described as needy, exploitative, and selfish. The table of means below represents the amount of time donated in minutes in each of the four cells of this 2 × 2 factorial design. In each cell,…
- The following data are obtained from a study that seeks to investigate theeffects of an intervention program and the extent of their physical disability on their reading, math and IQ scores. The students who had been recipients of an intervention program are in the treatment group and while those who are not are in the control group. Questions:1. Is there a significant difference in the math, reading and IQ scores ofstudents in the treatment and controlgroups?2. Is the intervention program effective?3. Is there a significant difference in the math, reading and IQ scores ofstudentswhen they are grouped according to the extent of their physicaldisability?4. Isthereasignificantinteractionbetweentreatmentandextentofdisabilityonthe students’ reading, math and IQscores?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 study
- For a two-factor ANOVA with two levels of factor A, two levels of factor B, and a separate sample of n = 5 participants in each treatment condition, the two means for level A1 are 6 and 8, and the two means for level A2 are 6 and 10. For these data, what is the value of SSB?The following results are from an independent-measures, two-factor study with n = 5 participants in each treatment condition. Factor A: Factor B: B₁ B₂ B₃ n = 5 n = 5 n = 5 A₁ M = 5 M = 8 M = 14 T = 25 T = 40 T = 70 SS = 30 SS = 38 SS = 46 n = 5 n = 5 n = 5 A₂ M = 3 M = 4 M = 8 T = 15 T = 20 T = 40 SS = 22 SS = 26 SS = 30 ∑X² = 2,062 A. Use a two-factor ANOVA with α = .05 to evaluate the main effects and interactions. Source SS df MS F Between treatments - - A B A x B Within treatments _ Total B. Use the Distribution tool to find critical F values. (Use three decimal places.) F-criticalAA = F-criticalBB = F-criticalAxBAxB = C. Is there a significant main effect for factor A? Yes or No Is there a significant main effect for factor B? Yes or No Is there a…The following table summarizes the results from a two-factor study with two levels of factor A and four levels of factor B using a separate sample of n=5 participants in each treatment condition. Fill in the missing values. Determine if any of the F-statistics are significant at . Source SS df MS Between Treatments ____ ____ Factor A 20 ____ ____ F=____ Factor B __ ____ 12 F=____ AxB Interaction ____ ____ 6 F=____ Within Treatments 64 ____ ____ Total ____ ____