In a bumper test, three test vehicles of each three types of autos were crashed into a barrier at 5 mph, and the resulting damage was estimated. Crashes were from three angles: head-on, slanted, and rear-end. The results are shown below. Head-on Goliath Varmint Weasel 780. 1,780. 2,240 1,440. 1,690. 1,640 810. 1,600. 1,770 Slant. 1,460. 1,820. 2,030 1,740. 1,720. 1,500 1,250. 1,680. 2,480 Rear-end. 710. 890. 1,690 1,260. 1,570. 1,630 920. 1,270. 1,240 I need a table of Means, Two-Factor ANOVA with replication (Factor 1 (Angle), Factor 2 (Vehicle), Interaction, Error, Total). Perform Tukey multiple comparison tests with error rate: 0.05 and 0.01. Tukey Simultaneous comparison t-values (d.f.=18) with critical values for experimentwise error rate of 0.05 and 0.01
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
In a bumper test, three test vehicles of each three types of autos were crashed into a barrier at 5 mph, and the resulting damage was estimated. Crashes were from three angles: head-on, slanted, and rear-end. The results are shown below.
Head-on Goliath Varmint Weasel
780. 1,780. 2,240
1,440. 1,690. 1,640
810. 1,600. 1,770
Slant. 1,460. 1,820. 2,030
1,740. 1,720. 1,500
1,250. 1,680. 2,480
Rear-end. 710. 890. 1,690
1,260. 1,570. 1,630
920. 1,270. 1,240
I need a table of Means, Two-Factor ANOVA with replication (Factor 1 (Angle), Factor 2 (Vehicle), Interaction, Error, Total). Perform Tukey multiple comparison tests with error rate: 0.05 and 0.01. Tukey Simultaneous comparison t-values (d.f.=18) with critical values for experimentwise error rate of 0.05 and 0.01
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