A two-factor study investigates the effects of self-esteem (low vs. high) and gender (males vs. females) on anxiety scores. The following data represents the means for each treatment condition. Low self-esteemHigh self-esteem Male 511Female103The data shows that there is a self-esteem by gender interaction.Explain the self-esteem by gender interaction (include individual means in your explanation)

Answered: A two-factor study investigates the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A two-factor study investigates the effects of self-esteem (low vs. high) and gender (males vs. females) on anxiety scores. The following data represents the means for each treatment condition.

	Low self-esteem	High self-esteem
Male	5	11
Female	10	3

The data shows that there is a self-esteem by gender interaction.

Explain the self-esteem by gender interaction (include individual means in your explanation)

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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Explain the self-esteem by gender interaction:

The data represents the effects of self-esteem and gender on anxiety score.

The individual means of the anxiety scores are obtained as given below:

$\begin{array}{rcl} M a l e & = & \frac{5 + 11}{2} \\ = & 8 \\ F e m a l e & = & \frac{10 + 3}{2} \\ = & 6.5 \\ L o w s e l f e s t e e m & = & \frac{5 + 10}{2} \\ = & 7.5 \\ H i g h s e l f e s t e e m & = & \frac{11 + 3}{2} \\ = & 7 \end{array}$

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