Why does the ANOVA use the variance differences, and not use mean differences from the data? there is no difference whether you use the means or the variance in the numerator the means are a less accurate descriptive statistic than the variance none of the answers are correct calculating the difference of multiple means in the numerator would not make mathematical sense We are testing for the _____ when we are asking how much the independent variable affected the dependent variable.

Answered: Why does the ANOVA use the variance…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Why does the ANOVA use the variance differences, and not use mean differences from the data?

		there is no difference whether you use the means or the variance in the numerator
		the means are a less accurate descriptive statistic than the variance
		none of the answers are correct
		calculating the difference of multiple means in the numerator would not make mathematical sense

We are testing for the _____ when we are asking how much the independent variable affected the dependent variable.

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 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Anova and Design of Experiments$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions