Can you please explain in detail why it is evident that the longest flowers are those of the bihai variety, the second longest flowers are those of the red variety, and the shortest are those of the yellow variety?How to compare these results and the mean differences from the post-hoc output? Post Hoc Comparisons - VarietyComparisonVariety Variety Mean Difference7.88611.4173.531bihaired- redyellowyellowSEdft0.47151.000 16.7590.520 51.000 21.9770.480 51.000 7.361Note. Comparisons are based on estimated marginal meansPtukey<.001<.001<.001

Given the Post Hoc Comparisons - Variety output as

Answered: Post Hoc Comparisons - Variety…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Can you please explain in detail why it is evident that the longest flowers are those of the bihai variety, the second longest flowers are those of the red variety, and the shortest are those of the yellow variety? How to compare these results and the mean differences from the post-hoc output?

Post Hoc Comparisons - Variety
Comparison
Variety Variety Mean Difference
7.886
11.417
3.531
bihai
red
- red
yellow
yellow
SE
df
t
0.471
51.000 16.759
0.520 51.000 21.977
0.480 51.000 7.361
Note. Comparisons are based on estimated marginal means
Ptukey
<.001
<.001
<.001

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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