The following data summarizes the results from a between subjects one-way ANOVA study comparing three treatment condition groups. Group 1 Group 2 Group 3 T=6 SS=30 T = 30 T = 36 N = 18 n = 6 SS = 35 n = 6 SS = 40 n = 6 G = 72 EX²=477 Use a = .05 to determine if there are significant differences between these three groups.
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- What is an experiment?Consider an experiment to determine the effects of alcohol and marijuana on driving. Five randomly selected subjects are given alcohol to produce legal drunkenness and then are given a simulated driving test (scored from a top score of 10 to a bottom score of 0). Five different randomly selected subjects are given marijuana and then the same driving test. Finally, a control group of five subjects is tested for driving while sober. The driving test scores and the One-Way ANOVA table for these data are shown below. Test the hypothesis that there is a difference among the means of the three groups at 1% significance level. Alcohol Drugs Control 3 2 8 4 6 7 2 4 8 1 4 5 3 3 6 The following is the summary statistics for the table above generated from an Excel one-way ANOVA analysis: ANOVA SS df MS F P-value Between Groups 46.800 2 23.400 13.500 0.000848594 Within Groups 20.800 12 1.733 Total 67.600 14 Based on the Excel output, does there appear to be a…To determine if a training program has improved the average performance of trainees if data is collected from two different groups of managers (one group that has not undertaken the training program and the other group that has completed the training program), the samples are independent dependent correlated matched
- One sample is selected to represent scores in treatment 1 and a second sample is used to represent scores in treatment 2. Which set of sample statistics would present the clearest picture of a real difference between the two treatments? Group of answer choices M1 = 36; M2 = 40; and both variances =43 M1 = 38; M2 = 40; and both variances =43 M1 = 36; M2 = 40; and both variances =6 M1 = 38; M2 = 40; and both variances =6The following data summarize the results from an independent-measures study comparing three treatment conditions. Treatment I II III N = 12 3 5 6 G = 60 5 5 10 ∑X2 = 392 3 1 10 1 5 6 x̅1 = 3 x̅2 = 4 x̅3 = 8 T1 = 12 T2 = 16 T3 =32…A source table has the following information: Three treatment conditions with a sample of n =7 participants in each treatment. You know SS(BW) = 20 and MS(WI) = 2. What is the missing value for MS(BW)? Answer choices: 40, 10, 2, 5 You have an ANOVA source table with the following information: Three treatment groups with a sample of n = 10 participants in each treatment. You also know the SS(BW) =20 and F = 5.00. What is the missing value for SS(Total)? Answer choices: 74, 54, 30, 22 For an experiment involving 2 levels of factor A and 3 levels of factor B with a sample of n = 5 in each treatment condition, what is the value for df(WI)? Answer choices: 30, 29, 24, 20
- The price drivers pay for gasoline often varies a great deal across regions throughout the United States. The following data show the price per gallon for regular gasoline for a random sample of gasoline service stations for three major brands of gasoline (Shell, BP, and Marathon) located in 11 metropolitan areas across the upper Midwest region (OhioGasPrices.com website, March 18, 2012). alpha = .05 What is the test statistic for gasoline brand?The following data summarize the results from an independent-measures study comparing three treatment conditions. Treatment I II III N = 12 3 5 6 G = 60 5 5 10 ∑X2 = 392 3 1 10 1 5 6 x̅1 = 3 x̅2 = 4 x̅3 = 8 T1 = 12 T2 = 16 T3 =32…The following data summarize the results from an independent-measures study comparing three treatment conditions. Treatment I II III N = 12 3 5 6 G = 60 5 5 10 ∑X2 = 392 3 1 10 1 5 6 x̅1 = 3 x̅2 = 4 x̅3 = 8 T1 = 12 T2 = 16 T3 =32…
- In conducting an ANOVA, if the independent variable has an effect on the dependent variable then….. Select one: a. variability between and within groups will be the same b. variability between groups will be greater than variability within groups c. variability within groups will be greater than variability between groups d. total variability will exceed variability between and within groupsCourse/Year 1. Brian, a college administrator, claimed that there was no difference in averages of students coming from three nearby schools A, B, and C. Use the following data to test his claim with a 1% significance level. Ex A-420 2x² 253 Ex B 340 SANOVA Table: 4 Source of Variation Between - column Within - column Total A A. Ho: B. a: 0.01 C. B C 3 _M₁ = M₁₂₁ = M²3 Sum of Squares 2.25 Compute for sum of squares D. Compute for degrees of freedom 84 88 88 E. Compute for mean sum of squares F. Compute for F-value 82 83 80 df 2 Ha: STUDENTS 89 82 89 Mean Sum of Squares 85 83 80 F-value Mr & Mr & M²₂ n₁ = √=n²₁₂₁ = 3 - N = 12 7 Critical Value / Tabular Value DecisionWhich of these experimental designs has the most statistical power (is more likely to show a true difference between 2 treatment conditions)? A. Between-Subjects B. Descriptive Study C. Correlational Study D. Within-Subjects