Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the sample standard deviation for difference scores is increased.

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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 + ...

Chapter 10, Problem 26CAP

(a)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the sample standard deviation for difference scores is increased.

(b)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the estimated standard error for difference scores is increased.

(c)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the mean difference is increased.

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Answer 2

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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 + ...

Chapter 10, Problem 26CAP

(a)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the sample standard deviation for difference scores is increased.

(b)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the estimated standard error for difference scores is increased.

(c)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the mean difference is increased.

Expert Solution & Answer

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Answer 3

Question

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 + ...

Chapter 10, Problem 26CAP

(a)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the sample standard deviation for difference scores is increased.

(b)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the estimated standard error for difference scores is increased.

(c)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the mean difference is increased.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 4

Question

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 + ...

Chapter 10, Problem 26CAP

(a)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the sample standard deviation for difference scores is increased.

(b)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the estimated standard error for difference scores is increased.

(c)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the mean difference is increased.

Expert Solution & Answer

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Answer 5

Chapter 10, Problem 26CAP

(a)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the sample standard deviation for difference scores is increased.

(b)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the estimated standard error for difference scores is increased.

(c)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the mean difference is increased.

Answer 6

Chapter 10, Problem 26CAP

(a)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the sample standard deviation for difference scores is increased.

Answer 7

Chapter 10, Problem 26CAP

(a)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the sample standard deviation for difference scores is increased.

Answer 8

(b)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the estimated standard error for difference scores is increased.

Answer 9

(b)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the estimated standard error for difference scores is increased.

Answer 10

(c)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the mean difference is increased.

Answer 11

(c)

To determine

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the mean difference is increased.

Answer 12

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Answer 13

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Answer 14

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Answer 15

Ch. 10.1 - Prob. 1.1LC Ch. 10.1 - Prob. 1.2LC Ch. 10.1 - Prob. 1.3LC Ch. 10.1 - Prob. 1.4LC Ch. 10.2 - Prob. 2.1LC Ch. 10.2 - Prob. 2.2LC Ch. 10.2 - Prob. 2.3LC Ch. 10.2 - Prob. 2.4LC Ch. 10.3 - Prob. 3.1LC Ch. 10.3 - Prob. 3.2LC

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the sample standard deviation for difference scores is increased.

Solution Summary: The author explains how Cohen's d is used to measure the proportion of variance in hypothesis testing when the decision is to reject the null hypothesis.

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Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the sample standard deviation for difference scores is increased.

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the estimated standard error for difference scores is increased.

Explain whether the value of estimated Cohen’s d for the related-samples t test would increase, decrease, or have no effect when the mean difference is increased.

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