Statistics for the Behavioral Sciences
Statistics for the Behavioral Sciences
2nd Edition
ISBN: 9781452286907
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
bartleby

Videos

Question
Book Icon
Chapter 9, Problem 25CAP

(b)

To determine

Determine with sp2 of 36, a 3-point treatment effect would be small, medium, or large for a two-independent-sample t test.

(b)

Expert Solution
Check Mark

Answer to Problem 25CAP

With sp2 of 36, a 3-point treatment effect is mediumfor a two-independent-sample t test.

Explanation of Solution

Calculation:

Cohen’s d:

The Cohen’s d is the measure to estimate the effect size which is used most frequently for t test. In t test the value of population standard deviation is not known, hence this value is replaced with sample standard deviation for estimation the effect size as,

The Cohen’s d for a two-independent-sample t test is,

Cohen'sd=M1M2sp2

The pooled sample variation is given by,

sp2=s12(df1)+s22(df2)df1+df2

In the formula, s12 is the variance for the first sample, s22 is the variance for the second, df1 is the degrees of freedom for first sample and df2 is the degrees of freedom for the second sample.

The description of effect size using Cohen’s d:

  • If value of Cohen’s d is less than 0.2, then effect size is small.
  • If value of Cohen’s d is in between 0.2 and 0.8, then effect size is medium.
  • If value of Cohen’s d is greater than 0.8, then effect size is large.

The value of (M1M2) is 3 and sp2 is 36. The value of Cohen’s d is,

Cohen'sd=M1M2sp2=336=36=0.5

The value of estimated Cohen’s d is 0.5. This value lies between 0.2 and 0.8. Hence the estimated Cohen’s d has a medium effect size.

(a)

To determine

Determine with sp2 of 9, a 3-point treatment effect would be small, medium, or large for a two-independent-sample t test.

(a)

Expert Solution
Check Mark

Answer to Problem 25CAP

With sp2 of 9, a 3-point treatment effect is large for a two-independent-sample t test.

Explanation of Solution

Calculation:

Cohen’s d:

The Cohen’s d is the measure to estimate the effect size which is used most frequently for t test. In t test the value of population standard deviation is not known, hence this value is replaced with sample standard deviation for estimation the effect size as,

The Cohen’s d for atwo-independent-sample t test is,

Cohen'sd=M1M2sp2

The pooled sample variance is given by,

sp2=s12(df1)+s22(df2)df1+df2

In the formula, s12 is the variance for the first sample, s22 is the variance for the second, df1 is the degrees of freedom for first sample and df2 is the degrees of freedom for the second sample.

The description of effect size using Cohen’s d:

  • If value of Cohen’s d is less than 0.2, then effect size is small.
  • If value of Cohen’s d is in between 0.2 and 0.8, then effect size is medium.
  • If value of Cohen’s d is greater than 0.8, then effect size is large.

The value of (M1M2) is 3 and sp2 is 9. The value of Cohen’s d is,

Cohen'sd=M1M2sp2=39=33=1

The value of estimated Cohen’s d is 1. This value is greater than 0.8. Hence the estimated Cohen’s d has a large effect size.

(b)

To determine

Determine with sp2 of 36, a 3-point treatment effect would be small, medium, or large for a two-independent-sample t test.

(b)

Expert Solution
Check Mark

Answer to Problem 25CAP

With sp2 of 36, a 3-point treatment effect is medium for a two-independent-sample t test.

Explanation of Solution

Calculation:

The value of (M1M2) is 3 and sp2 is 36. The value of Cohen’s d is,

Cohen'sd=M1M2sp2=336=36=0.5

The value of estimated Cohen’s d is 0.5. This value lies between 0.2 and 0.8. Hence the estimated Cohen’s d has a medium effect size.

(c)

To determine

Determine with sp2 of 144, a 3-point treatment effect would be small, medium, or large for a two-independent-sample t test.

(c)

Expert Solution
Check Mark

Answer to Problem 25CAP

With sp2 of 144, a 3-point treatment effect is medium for a two-independent-sample t test.

Explanation of Solution

Calculation:

The value of (M1M2) is 3 and sp2 is 144. The value of Cohen’s d is,

Cohen'sd=M1M2sp2=3144=312=0.25

The value of estimated Cohen’s d is 0.25. This value is lies between 0.2 and 0.8. Hence the estimated Cohen’s d has a medium effect size.

(d)

To determine

Determine with sp2 of 576, a 3-point treatment effect would be small, medium, or large for a two-independent-sample t test.

(d)

Expert Solution
Check Mark

Answer to Problem 25CAP

With sp2 of 576, a 3-point treatment effect is small for a two-independent-sample t test.

Explanation of Solution

Calculation:

The value of (M1M2) is 3 and sp2 is 576. The value of Cohen’s d is,

Cohen'sd=M1M2sp2=3576=324=0.125

The value of estimated Cohen’s d is 0.12. This value is less than 0.2. Hence the estimated Cohen’s d has a small effect size.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts? 1. Compute the probability of a value between 44.0 and 55.0. (The question requires finding probability value between 44 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 44, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the answer of the second part.) 2. Compute the probability of a value greater than 55.0. Use the same formula, x=55 and subtract the answer from 1. 3. Compute the probability of a value between 52.0 and 55.0. (The question requires finding probability value between 52 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 52, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the…
If a uniform distribution is defined over the interval from 6 to 10, then answer the followings: What is the mean of this uniform distribution? Show that the probability of any value between 6 and 10 is equal to 1.0 Find the probability of a value more than 7. Find the probability of a value between 7 and 9.   The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be: More than $27? Less than or equal to $24?   The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches. What is the mean amount of rainfall for the month? What is the probability of less than an inch of rain for the month? What is the probability of exactly 1.00 inch of rain? What is the probability of more than 1.50 inches of rain for the month? The best way to solve this problem is begin by a step by step creating a chart. Clearly mark the range, identifying the…
Client 1 Weight before diet (pounds) Weight after diet (pounds) 128 120 2 131 123 3 140 141 4 178 170 5 121 118 6 136 136 7 118 121 8 136 127
Knowledge Booster
Background pattern image
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Text book image
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Introduction to experimental design and analysis of variance (ANOVA); Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=vSFo1MwLoxU;License: Standard YouTube License, CC-BY