A researcher is interested in the effect of positive affirmations on self-confidence. What is the consequence of adding gender as a factor in the ANOVA? a.The MSwithin treatments value will increase. b.The MSwithin treatments value will decrease. c.The MSbetween treatments value will increase. d.The MSbetween treatments value will decrease. 2. Which statement below is not consistent with the benefits of adding an individual difference variable (i.e., gender) to a single factor (i.e., factor A) ANOVA? a.doing so reduces the within treatments variance b.doing so allows for examination of whether there are differences between the levels of the individual difference variable c.doing so reduces the between treatments variance for the single factor d.doing so reveals if an interaction exists between the individual difference variable and the single factor3.The following data represent the means for each treatment condition in a two-factor experiment. Note that one mean is not given. Which value for the missing mean would most clearly result in a main effect for factor A? B1 B2A12040A250? a.M = 40 b.M = 30 c.M = 10 d.M = 20

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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A researcher is interested in the effect of positive affirmations on self-confidence. What is the consequence of adding gender as a factor in the ANOVA?

	a.	The MS_{within treatments} value will increase.
	b.	The MS_{within treatments} value will decrease.
	c.	The MS_{between treatments} value will increase.
	d.	The MS_{between treatments} value will decrease.

2. Which statement below is not consistent with the benefits of adding an individual difference variable (i.e., gender) to a single factor (i.e., factor A) ANOVA?

	a.	doing so reduces the within treatments variance
	b.	doing so allows for examination of whether there are differences between the levels of the individual difference variable
	c.	doing so reduces the between treatments variance for the single factor
	d.	doing so reveals if an interaction exists between the individual difference variable and the single factor

3.The following data represent the means for each treatment condition in a two-factor experiment. Note that one mean is not given. Which value for the missing mean would most clearly result in a main effect for factor A?

B1 B2

	a.	M = 40
	b.	M = 30
	c.	M = 10
	d.	M = 20

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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