Think about doing the Tukey’s HSD on Step 6 of an Independent-Measures ANOVA. Let’s say that you look up q, calculate HSD value, and you get HSD = 5.15. Given this HSD value of 5.15, and given the means on the APA table below, which pairs of means are significantly different from each other? HSD value = 5.15 APA table: Group 1Group 2Group 3M57.0062.6763.33SD2.001.532.52 Group of answer choicesThe significant pairs are Group 1 vs. Group 2 and Group 1 vs. Group 3The only significant pair is Group 1 vs. 2The significant pairs are Group 1 vs. Group 3 and Group 2 vs Group 3None of the pairs of groups is significantly different

The given HSD value is 5.15 and the mean and sd values for each group are given.

Answered: Think about doing the Tukey’s HSD on…

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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Think about doing the Tukey’s HSD on Step 6 of an Independent-Measures ANOVA. Let’s say that you look up q, calculate HSD value, and you get HSD = 5.15. Given this HSD value of 5.15, and given the means on the APA table below, which pairs of means are significantly different from each other?

HSD value = 5.15

APA table:

	*Group 1*	*Group 2*	*Group 3*
M	57.00	62.67	63.33
SD	2.00	1.53	2.52

Group of answer choices

The significant pairs are Group 1 vs. Group 2 and Group 1 vs. Group 3

The only significant pair is Group 1 vs. 2

The significant pairs are Group 1 vs. Group 3 and Group 2 vs Group 3

None of the pairs of groups is significantly different

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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