Asked by Jennie McLean on Apr 26, 2024
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The following ANOVA table shows the results of an experiment used to test how race car drivers and different tracks affect time.The experiment used 3 different drivers on 4 different tracks.Assuming no effect from the interaction between driver and track,test the claim that the three drivers have the same mean time. Sum ofMean Source DF Squares Square F-ratio P-value Driver 2210.330.729 Tradk 398.2532.7510.92<0.0001 Error 6183 Total 11118.25\begin{array}{l}\begin{array} { l r c c c c } &&\text { Sum of}&{ Mean }\\\text { Source } & \text { DF } & \text { Squares } & \text { Square } & \text { F-ratio } & \text { P-value } \\\text { Driver } & 2 & 2 & 1 & 0.33 & 0.729 \\\text { Tradk } & 3 & 98.25 & 32.75 & 10.92 & < 0.0001 \\\text { Error } & 6 & 18 & 3 & & \\\text { Total } & 11 & 118.25 & & &\end{array}\end{array} Source Driver Tradk Error Total DF 23611 Sum of Squares 298.2518118.25Mean Square 132.753 F-ratio 0.3310.92 P-value 0.729<0.0001
ANOVA Table
A table used to summarize the data analysis for an Analysis of Variance, showing sources of variance, degrees of freedom, sum of squares, mean squares, and the F-statistic.
F-ratio
A statistical measure used in ANOVA testing that compares the variances between groups to variances within groups.
P-value
A statistic that measures the probability of obtaining test results at least as extreme as the results actually observed, assuming that the null hypothesis is correct.
- Evaluate ANOVA (Analysis of Variance) tables to determine the significance of mean differences between groups.
- Evaluate the results of ANOVA tests, paying particular attention to the F-ratio and p-value, to determine statistical actions.
- Understand the implications of statistical findings for practical applications and decision-making.
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Learning Objectives
- Evaluate ANOVA (Analysis of Variance) tables to determine the significance of mean differences between groups.
- Evaluate the results of ANOVA tests, paying particular attention to the F-ratio and p-value, to determine statistical actions.
- Understand the implications of statistical findings for practical applications and decision-making.
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