1. Which of the following is consistent with the null hypothesis for the interaction of factors A and B in a two-factor analysis of variance? a.The mean differences between treatment conditions are what would be predicted from the overall main effects of Factors A and B. b.The mean differences between treatment conditions are not what would be predicted from the overall main effects of Factors A and B. c.µA ≠ µB d.µA = µB

The null hypothesis for in two factor ANOVA is that there is no interaction effect.

Answered: 1. Which of the following is consistent…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 5E

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1. Which of the following is consistent with the null hypothesis for the interaction of factors A and B in a two-factor analysis of variance?

	a.	The mean differences between treatment conditions are what would be predicted from the overall main effects of Factors A and B.
	b.	The mean differences between treatment conditions are not what would be predicted from the overall main effects of Factors A and B.
	c.	µ_A ≠ µ_B
	d.	µ_A = µ_B

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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