I need assistance with a threeway anova

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Mathematics

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consider a hypothetical experiment concerning the driving ability of two different types of drivers – inexperienced (A1) and experienced (A2). These people will drive on one of three types of roads – first class (B1), second class (B2), or dirt (B3) – under one of two different driving conditions – day (C1) and night (C2). Thus we have a 2x3x2 factorial. The experiment will include four participants per condition (for a total of 48 participants), and the dependent variable will be the number of steering corrections in a one mile section of roadway.

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Computer assignment 5 threeway anova 15 points sec 02 Variables Affecting Driving Performance For example, consider a hypothetical experiment concerning the driving ability of two different types of drivers – inexperienced (A1) and experienced (A2). These people will drive on one of three types of roads – first class (B1), second class (B2), or dirt (B3) – under one of two different driving conditions – day (C1) and night (C2). Thus we have a 2x3x2 factorial. The experiment will include four participants per condition (for a total of 48 participants), and the dependent variable will be the number of steering corrections in a one mile section of roadway. C1 A1 A2 C2 B1 B2 B3 B1 B2 B3 4 23 16 21 25 39 7 15 27 14 33 44 6 21 23 19 38 48 10 13 16 26 29 43 6 2 14 6 10 13 3 9 12 7 11 11 11 9 9 8 9 12 6 11 13 9 12 11 1. Conduct the appropriate anova. Copy and paste the output below from your 2(driver Experience) x 2 (day/night) x 3(roadCondition) analysis if variance. from the analysis 2. Answer the questions below based on the analysis. a) What number is the average variance in each group ________? b) What number is the variance among the main effect means of road condition ____ c) What number reflects the variance among the driver experience x road condition cell means that remains after the variance due to the main effect means of driver experience and road condition have been removed. _______ d) What number is the denominator for all F ratios?_______ e) How many df are found in any one of our 12 groups?___________ 3. The three way interaction is significant so that tells us that the impact of the condition of the road on driving performance depend upon the experience of the driver and whether they were driving during the day or night. Copy and paste the relvant means below from the output. 4. In the space below examine whether the impact of road condition varies as a function of the combination of driver experience and day/night driving. 8. daynight * typedriver * typeroad Dependent Variable: steercorrect 95% Confidence Interval daynight typedriver typeroad 1.00 1.00 1.00 7.250 2.189 2.811 11.689 2.00 18.000 2.189 13.561 22.439 3.00 15.500 2.189 11.061 19.939 1.00 6.500 2.189 2.061 10.939 2.00 7.750 2.189 3.311 12.189 3.00 12.000 2.189 7.561 16.439 1.00 20.000 2.189 15.561 24.439 2.00 31.250 2.189 26.811 35.689 3.00 43.500 2.189 39.061 47.939 1.00 7.500 2.189 3.061 11.939 2.00 2.00 1.00 2.00 Mean Std. Error Lower Bound Upper Bound 2.00 10.500 2.189 6.061 14.939 3.00 11.750 2.189 7.311 16.189 Conduct a 2(Driver Experience) x 3 (Road Condition) just for those who drive in the day copy and paste the results below. Conduct a 2(Driver Experience) x 3 (Road Condition) just for those who drive in the night copy and paste the results below. Construct the appropriate F ratio to test the Driver Experience x Road Condition interaction for those who drive in the day F= Construct the appropriate F ratio to test the Driver Experience x Road Condition interaction for those who drive in the night F= Write your conclusions about the source of the three way
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