alculate the three F-ratios and state a conclusion for each test (indicate if there was an effect or not): A) Test 1: F-ratio1 = Conclusion (effect' or 'no effect'): B) Test 2: F-ratio2 = Conclusion (effect' or 'no effect'): C) Test 3: F-ratio3 = Conclusion (effect' or 'no effect'):
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Calculate the three F-ratios and state a conclusion for each test (indicate if there was an effect or not):
A)
Test 1: F-ratio1 =
Conclusion (effect' or 'no effect'):
B)
Test 2: F-ratio2 =
Conclusion (effect' or 'no effect'):
C)
Test 3: F-ratio3 =
Conclusion (effect' or 'no effect'):
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- The following data represents results from an experiment comparing 3 treatment conditions for the cure of boredom. Treatment 1 is doing schoolwork, Treatment 2 is watching tv, and Treatment 3 is spending time with friends. The following scores represent treatment effectiveness scores where higher values indicate that the treatment of boredom was effective and lower values indicate that the treatment of boredom was ineffective. Treatment 1 Treatment 2 Treatment 3 0 1 6 N= 12 1 4 5 GM= 3.00 0 1 8 3 2 5…Suppose a researcher is interested inthe effectiveness in a new childhood exercise program implemented in a SRS of schools across a particular county. In order to test the hypothesis that the new program decreases BMI (Kg/m2), the researcher takes a SRS of children from schools where the program is employed and a SRS from schools that do not employ the program and compares the results. Assume the following table represents the SRSs of students and their BMIs. Student intervention group BMI (kg/m2) Student control group BMI (kg/m2) A 18.6 A 21.6 B 18.2 B 18.9 C 19.5 C 19.4 D 18.9 D 22.6 E 24.1 F 23.6 A) Assuming that all the necessary conditions are met (normality, independence, etc.) carry out the appropriate statistical test to determine if the new exercise program is effective. Use an alpha level of 0.05. Do not assume equal variances.B) Construct a 95% confidence interval about your estimate for the average difference in BMI between the groups.The director of an obesity clinic in a large northwestern city believes that drinking soft drinks contribute to obesity in children. To determine whether a relationship exists between these two variables, she conducts the following pilot study. Eight- 12-year-old male volunteers are randomly selected from children attending a local junior high school. Parents of the children are asked to monitor the number of soft drinks consumed by their child over a one week period. The children are weighed at the end of the week and their weights converted into body mass index (BMI) values. The BMI is a common index used to measure obesity and takes into account both height and weight. An individual is considered obese if they have a BMI value 30. The following data or collected: child. # of soft drinks consumed BMI 1 3 20 2 1 18 3…
- A nutritionist compared the effectiveness of an online diet program to that of an inperson diet program. After three months, she compared the number of pounds of weight lost. The control group (in-person) lost a mean of 18.00 pounds (s = 14.50, n = 16) and the experimental group (online) lost 16.00 pounds (s = 13.30, n = 21). Use an alpha of .05, a two-tailed test, s2pooled = 191.19, and sM1−M2 = 4.5 to determine if there is a difference between the two programs.The researchers reported:" A 2x2 ANOVA revealed, first of all, a main effect for depletion, indicating that depleted individuals generated less ideas (M = 9.40, SD = 5.64) than non-depleted individuals (M = 12.44, SD = 7.34), F (1, 108) = 6.03, p = .016, n2 = .05. This effect was qualified by the expected interaction with [perseverance], F (1,108) = 4.52, p = .036, n2 = .05". What size are the effects for the main effect of depletion and for the interaction between depletion and perseverance, according to Cohen's conventions? a. These are small- to -medium effects b. These are non existent effects c. These are large effects d. We are unable to tell from from the n2 / r2 statisticsAn automotive engineer is investigating two different types of metering devices for an electronic fuel injection system to determine whether they differ in their fuel mileage performance. The system is installed on 10 different cars, and a test is run with each metering device on each car. The data is provided below: Metering Device Car 1 2 1 17.6 16.8 2 19.4 20.0 3 18.2 17.6 4 17.1 16.4 5 15.3 16.0 6 15.9 15.9 7 16.3 16.5 8 18.0 18.4 9 17.3 16.4 10 19.1 20.1 Is there a significant difference between the means of the two metering devices? Use . Interpret the result in the context of the problem. An article in the journal Hazardous Waste and Hazardous Materials (Vol. 6, 1989) reported the results of an analysis of the weight of calcium in standard cement and cement doped with lead. Reduced levels of calcium would indicate that the hydration mechanism in the cement is blocked…
- 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 studyA regional distributor of NIKE shoes is in the process of analyzing the factors that influence thedemand for the NIKE brand. The distributor hired an economist to conduct a study on the demand for this product. The economist collected quarterly time series data from 1986Q1 to 1991Q4 on the following variables:SALES Sales of NIKE shoesRPDI Real personal disposal incomeCONF Consumer confidence indexD2 Dummy variable for quarter 2D3 Dummy variable for quarter 3D4 Dummy variable for quarter 4Ordinary Least Squares was applied using sales as the dependent variable and real personal disposal income, consumer confidence index, dummy variable for quarter 2, dummy variable for quarter 3, and dummy variable for quarter 4 as independent variables. The table below shows the OLS output.Model 1: OLS, using observations 1986:1-1991:4 (T = 24)Dependent variable: SALESCoefficient Std. Error t-ratio p-valueconst −139.452 61.8421 −2.255 0.0368 **RPDI 1.56286 0.438492 3.564 0.0022 ***CONF 0.256247…A regional distributor of NIKE shoes is in the process of analyzing the factors that influence thedemand for the NIKE brand. The distributor hired an economist to conduct a study on the demand for this product. The economist collected quarterly time series data from 1986Q1 to 1991Q4 on the following variables:SALES Sales of NIKE shoesRPDI Real personal disposal incomeCONF Consumer confidence indexD2 Dummy variable for quarter 2D3 Dummy variable for quarter 3D4 Dummy variable for quarter 4Ordinary Least Squares was applied using sales as the dependent variable and real personal disposal income, consumer confidence index, dummy variable for quarter 2, dummy variable for quarter 3, and dummy variable for quarter 4 as independent variables. The table below shows the OLS output.Model 1: OLS, using observations 1986:1-1991:4 (T = 24)Dependent variable: SALESCoefficient Std. Error t-ratio p-valueconst −139.452 61.8421 −2.255 0.0368 **RPDI 1.56286 0.438492 3.564 0.0022 ***CONF 0.256247…
- for an experiment involving 3 levels of factor A and 3 levels of factor B with a sample of n=8 in each treatment condition, what are the df values for the F-factor for the A * B (A multiplied by B) interaction?Consider the following 2 × 2 table from a hypothetical cohort study. Calculate the relative risk of CVD comparing those with high fasting glucose (≥126 mg/dL) with those with normal fasting glucose (<126 mg/dL) Serum fasting glucose Developed CVD Did not develop CVD Total ≥126 mg/dL (exposed) 125 325 450 <126 mg/dL (not exposed) 50 500 550 Total 175 825 1000 Group of answer choices 0.33 0.75 1.02 3.08 5.34A double-blind randomized experiment compared the effects of the drug Lorcaserin and a placebo on weight loss in overweight adults. All subjects were also required to undergo diet and exercise counseling. The study involved 1000 participants where half of them would take Lorcaserin and half the placebo. The researchers found that after a year the treatment group had an average weight loss of 5.8 kg while the placebo group had an average weight loss of 3.9 carmona, kg. Based on this information researchers need to decide if Locarserin can be a possible treatment for weight loss. a. What would be a Type I error in this context? Your answer should consist of both the researchers’ decision and what the reality is. b. What would be a Type II error in this context? Your answer should consist of both the researchers’ decision and what the reality is.