MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Question
Suppose a counseling psychologist sets out to see whether the age of entering the relationship is related to relationship longevity. He decides to measure relationship satisfaction in a group of couples formed when the younger partner was younger than 30 and a group of couples formed when the younger partner was 30 or older. He chooses the Marital Satisfaction Inventory because it refers to “partner” and “relationship” rather than “spouse” and “marriage,” which makes it useful for research with both traditional and nontraditional couples. Higher scores on the Marital Satisfaction Inventory indicate greater relationship satisfaction.
The psychologist administers the Marital Satisfaction Inventory to 85 couples—31 are couples formed when the younger partner was younger than 30 and 54 are couples formed when the younger partner was 30 or older. He wants to calculate the correlation between a couple’s relationship satisfaction and whether the younger partner was younger or older than 30 at the beginning of the relationship. Which of the following types of correlations would be most appropriate for the psychologist to use?
A phi-correlation
A Pearson correlation
A point-biserial correlation
A Spearman correlation
To calculate the correlation, the psychologist converts “the age of entering the relationship” to a dichotomous variable. Suppose the data for the first 5 couples he surveys are shown in the table that follows. By assigning one (1) to couples formed when the younger partner was younger than 30 and zero (0) to couples formed when the younger partner was 30 or older, complete the table.
Age of the Younger Partner
|
Marital Satisfaction Inventory Score
|
Age of the Younger Partner (Converted)
|
---|---|---|
younger than 30 | 20 |
|
younger than 30 | 41 |
|
30 or older | 18 |
|
30 or older | 46 |
|
younger than 30 | 32 |
|
Suppose the psychologist calculates the correlation using the data as coded in the previous table. Then, he recalculates the correlation, but this time, instead of assigning one (1) to couples formed when the younger partner was younger than 30 and zero (0) to couples formed when the younger partner was 30 or older, he reverses the codes and assigns zero (0) to couples formed when the younger partner was younger than 30 and one (1) to couples formed when the younger partner was 30 or older. Which of the following statements is true regarding his two calculations of the correlation?
The absolute values of the two correlations are different.
The two correlations are the same.
The signs of the two correlations are opposite, but their absolute values are the same.
Before calculating the correlation, the psychologist does an independent-measures t test comparing the Marital Satisfaction Inventory scores of couples formed when the younger partner was younger than 30 and couples formed when the younger partner was 30 or older. The value of the t statistic is 2.63 with 83 degrees of freedom. Using this information, the square of the point-biserial correlation is r² = .
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 5 steps
Knowledge Booster
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
- x Resorts & Spas, a magazine devoted to upscale vacations and accommodations, published its Reader's Choice List of the top 20 independent beachfront boutique hotels in the world. The data shown are the scores received by these hotels based on the results from Resorts & Spas' annual Readers' Choice Survey. Each score represents the percentage of respondents who rated a hotel as excellent or very good on one of three criteria (comfort, amenities, and in-house dining). An overall score was also reported and used to rank the hotels. The highest ranked hotel, the Muri Beach Odyssey, has an overall score of 94.3, the highest component of which is 97.7 for in-house dining. If required, round your answer to three decimal places. Click on the datafile logo to reference the data. Hotel Overall Comfort Amenities In-House Dining Muri Beach Odyssey 94.3 94.5 90.8 97.7 Pattaya Resort 92.9 96.6 84.1 96.6 Sojourner's Respite 92.8 99.9 100.0 88.4…arrow_forwardThe number of pair days off taken by eight employees at a local small business is compared to the national average. You are hired by the business owner, who has been in business for just 18 months, to help her determine what to expect for paid days off. In general, she wants to set some standard for her employees and for herself. Let's assume your search on the internet for data on paid days off leaves you with the impression that the national average is 15 days. The data for the eight local employees during the last fiscal year are: 10, 11, 8, 14, 13, 12, 12, and 27 days. 1. Calculate the appropriate t statistic. 2. Draw a statistical conclusion. 3. Calculate and interpret the effect size.arrow_forwardOne study found a positive correlation between years of education and yearly income. Which fact would lead you to believe that the relationship between years of education and yearly income is one of causation and not correlation?arrow_forward
- A psychologist at a private mental health facility was asked to determine whether there was a clear difference in the length of stay for patients with different categories of diagnosis. Looking at the last seven patients in each of the three major categories, the results (in terms of weeks of stay) were as follows. Using the data below, test whether the length of stay for patients vary based on category of diagnosis. Diagnosis Category Affective Disorders Cognitive Disorders Drug-related Conditions 7 12 8 6 8 10 5 9 12 6 11 10 9 11 9 5 10 11 6 9 12 The above scenario requires a one-way Anova, with a bar graph. Question - I need to write an explanation for the output given. I am to include a statistical notation and explanation as to whether the results are significant or not significant. Examples of Explanation: Non-significant:A One-Way ANOVA was conducted to examine whether a preceding situation (watching a…arrow_forwardANOVA. Dr. Milgram is conducting a patient satisfaction survey, rating how well her patients like her on a scale of 1-10. Her patients tend to fall into three categories: “Like a lot”, “like somewhat”, and “dislike a lot”. She believes that she might get different satisfaction scores from people in each group, but (because she's not great at numbers) she wants you to do an ANOVA to be sure. She has collected data from 12 patients (three equal groups) with the following results. Group 1) “Like a lot” Mean: 8 SS: 2 N: df: Group 2) “Like somewhat” Mean: 5 SS: 6 N: df: Group 3) “Dislike a lot” Mean: 2 SS: 4 N: df: Grand Mean: df Within-Group:__________ df Between-Groups:___________ Estimated Variance (S21) for Group 1: _______ Estimated Variance (S22) for Group 2: ___________…arrow_forwardKatie is studying aggression among adolescent girls. She believes that there is a relationship between the level of interaction a girl has with her mother and the level of aggression. She has identified 5 girls who fall into each of 4 interaction level and has measured their aggression scores. Her data are given below. Complete table below by filling in boxes with correct value. Show calculation. No Low Moderate High interaction interaction interaction interaction A, A A1 A2 A3 A4 4 16 4 16 4 16 25 36 4 16 4 16 36 25 3 4 16 36 4 16 25 3. 5 25 25 4 16 3 9 Σ Α82 n2=5; n3=5; n4=5; N= O; X = D; X;=4.80; X 3=4.00; X 4=3.40 Σ Α-26 Σ Α-138 Σ Α Σ Α-118 Σ A-20 Σ Α-17 ΣΑ ; ΣΑΟ397; ni- totarrow_forward
- Please make sure the response is specific to the variables in this problem: Imagine that you are interested in studying the working habits of young adults. You hypothesize that persons first married in their twenties tend to work an average of 5 hours more per week than persons not first married in their twenties. After conducting a survey study, you find a relationship between participants’ age at first marriage and the number of hours worked per week. What three conditions must be satisfied for you to have established a causal connection?arrow_forwardAn online clothing company is keeping track of their customers purchases. Company also offers a credit card where customers get additional offers if they use that card when they make purchases from their online store. For those customers who has their credit card, the company has additional information such as age, yearly income, etc. The company management is interested in looking at the relationship between the income (in 1000s of dollars) and the total yearly purchases from their store for these credit card holders . They have gathered this information from a random sample of 42 credit card holders. Below provided is a partial MINITAB output for predicting the yearly purchases from the income. Identify the response and the predictor variable in this study. Write the equation of the least squares regression line for predicting the total yearly purchase from the income of the customer. What percentage of variation in total yearly purchase is explained by income of the customer?…arrow_forwardI need help with all of them plz.arrow_forward
- Kindly assist with creating bar charts, or pie charts for the below results; Housekeeping respondents were questioned about their observations regarding changes or improvements in gender diversity over recent months or years. All respondents (100%) acknowledged witnessing recent promotions between both genders within Housekeeping and other departments. Similarly, 80% of Guest Services department respondents shared similar observations. Conversely, 75% of respondents from the food and beverage department indicated that they have not observed any changes or improvements in gender diversity, particularly within their own department.arrow_forwardThe council leaders of a small town would like to determine the average number of people living in each household. To accomplish this, they send a questionnaire to each residence listed in the town address records, asking the head of the household to record the number of people living in the dwelling. They follow this up with visits to those households that have not responded to the questionnaire until the data collection process is complete. Which of the following is the best description of the method for data collection used by the council leaders? (A) A convenience sample (B) A simple random sample (C) A stratified random sample (D) A cluster random sample (E) A censusarrow_forwardSuppose you were to collect data for the following pair of variables, drivers: blood alcohol level, reaction time. You want to make a scatter plot. Which variable would you use as the explanatory variable? Blood alcohol or reaction time? Which variable would you use as the response variable? Blood alcohol or reaction time? Would you expect to see a positive or negative association? Or neither?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman