Consider the following information used for a one-sample t test: N = 100, µ = 30, s = 20, and M = 33. Based on this information, what is the measure of effect size, Cohen's d, rounded to two decimal places?

Question

Consider the following information used for a one-sample t test: N = 100, µ = 30, s = 20, and M = 33.  Based on this information, what is the measure of effect size, Cohen's d, rounded to two decimal places?

BlackTom AI · Accepted Answer

We start by identifying the formula for Cohen's d in a one-sample context. For a one-sample scenario, Cohen's d is calculated as (M − μ) / s, where M is the sample mean, μ is the population mean under the null, and s is the sample standard deviation. In this problem, M = 33, μ = 30, and s = 20, so the difference M − μ = 3. Dividing by s gives d = 3 / 20 = 0.15.

Option 1: 'd = 1.50' This would require a difference of 30 when divided by 20 to yield 1.50, which would imply M − μ = 30. Since the actual difference is 3, this option is incorrect.

Option 2: 'd = 0.15' This matches the calculated value exactly, since 3 divided by 20 equals 0.15. This option correctly applies the one-sample Cohen's d formula with the given numbers.

Option 3: 'd = 0.03' A value of 0.03 would correspond to a difference of 0.6 when divided by 20, which does not reflect the actual difference of 3. The arithmetic here is inconsistent with M − μ.

Option 4: 'd = 0.30' This would result from a difference of 6 (since 6/20 = 0.30). The observed difference is only 3, so this option overstates the effect size by a factor of 2.

Summary: Among the provided choices, the only value that aligns with the calculation d = (M − μ)/s = (33 − 30)/20 = 3/20 = 0.15 is the second option, d = 0.15. The other options fail because their numeric values imply differences or scaling that do not match the given M, μ, and s.

Consider the following information used for a one-sample t test: N = 100, µ = 30, s = 20, and M = 33. Based on this information, what is the measure of effect size, Cohen's d, rounded to two decimal places?

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类似问题

A sample is selected from a population with μ = 46, and a treatment is administered to the sample. After treatment, the sample mean is M = 48 with a sample variance of s2 = 16. Based on this information, what is the value of Cohen’s d?

Two samples from the same population both have M = 84 and s2 = 20, but one sample has n = 10 and the other has n = 20 scores. Both samples are used to evaluate a hypothesis stating that μ = 80 and to compute Cohen’s d. How will the outcomes for the two samples compare?

Calculate Cohen's D: Sample Size Group 1 = 19 Sample Size Group 2 = 16 Standard Deviation Group 1 = 4.2 Standard Deviation Group 2 = 5.5 Sample Mean Group 1 = 41.9 Sample Mean Group 2 = 43.5

Calculate Cohen's D: Sample Mean Difference Score (time 1 - time 2) = 1.7 Standard Deviation Difference Scores = 3.2 Sample Size = 39

Please consider the following information: Sample mean (M) = 50 Population mean (µ) = µM = 47 Sample standard deviation (s) = 4 Sample size (N) = 25 Based on this information, compute the effect size measure, Cohen's d. Please include at least two decimal places when reporting your answer.

According to Cohen's guidelines for the effect size measure d, which of the following would be an example of a medium effect size?

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Consider the following information used for a one-sample t test: N = 100, µ = 30, s = 20, and M = 33. Based on this information, what is the measure of effect size, Cohen's d, rounded to two decimal places?

查看解析

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类似问题

​A sample is selected from a population with μ = 46, and a treatment is administered to the sample. After treatment, the sample mean is M = 48 with a sample variance of s2 = 16. Based on this information, what is the value of Cohen’s d?

​Two samples from the same population both have M = 84 and s2 = 20, but one sample has n = 10 and the other has n = 20 scores. Both samples are used to evaluate a hypothesis stating that μ = 80 and to compute Cohen’s d. How will the outcomes for the two samples compare?

Calculate Cohen's D: Sample Size Group 1 = 19 Sample Size Group 2 = 16 Standard Deviation Group 1 = 4.2 Standard Deviation Group 2 = 5.5 Sample Mean Group 1 = 41.9 Sample Mean Group 2 = 43.5

Calculate Cohen's D: Sample Mean Difference Score (time 1 - time 2) = 1.7 Standard Deviation Difference Scores = 3.2 Sample Size = 39

Please consider the following information: Sample mean (M) = 50 Population mean (µ) = µM = 47 Sample standard deviation (s) = 4 Sample size (N) = 25 Based on this information, compute the effect size measure, Cohen's d. Please include at least two decimal places when reporting your answer.

According to Cohen's guidelines for the effect size measure d, which of the following would be an example of a medium effect size?

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希望你的学习变得更简单

A sample is selected from a population with μ = 46, and a treatment is administered to the sample. After treatment, the sample mean is M = 48 with a sample variance of s2 = 16. Based on this information, what is the value of Cohen’s d?

Two samples from the same population both have M = 84 and s2 = 20, but one sample has n = 10 and the other has n = 20 scores. Both samples are used to evaluate a hypothesis stating that μ = 80 and to compute Cohen’s d. How will the outcomes for the two samples compare?