Research Methods for the Behavioral Sciences (MindTap Course List)
6th Edition
ISBN: 9781337613316
Author: Frederick J Gravetter, Lori-Ann B. Forzano
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 11.2, Problem 2LO
Define a main effect for one factor and an interaction between factors, and be able to identify main effects and interactions in the results from a two-factor design.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A two-factor research study is used to evaluate the effectiveness of a new blood-pressure medication. In this two-factor study, factor A is medication versus no medication and factor B is male versus female.
The medicine is expected to reduce blood pressure for both males and females, but it is expected to have a much greater effect for males. What pattern of results should be obtained if the medication works as predicted?
A significant main effect for factor A (medication)
A significant interaction
A significant main effect for factor A and a significant interaction
An insignificant main effect for factor A (medication)
The Minister of National Security in Trinidad and Tobago is interested in determining the factors that influence the number of crimes that are reported. You are tasked to develop a model using the appropriate variables. The following variables are utilized:
X1 = total overall reported crime rate per 100,000 residents
X2 = reported violent crime rate per 100,000 residents
X3 = % of people 25 years+ with 4 yrs. of high school
X4 = % of 16 to 19-year-olds not in high school and not high school graduates.
X5 = % of 18 to 24-year-olds in college X6 = % of people 25 years+ with at least 4 years of college
X1
X2
X3
X4
X5
X6
478
184
74
11
31
20
494
213
72
11
43
18
643
347
70
18
16
16
341
565
71
11
25
19
773
327
72
9
29
24
603
260
68
8
32
15
484
325
68
12
24
14
546
102
62
13
28
11
424
38
69
7
25
12
548
226
66
9
58
15
506
137
60
13…
The Minister of National Security in Trinidad and Tobago is interested in determining the factors that influence the number of crimes that are reported. You are tasked to develop a model using the appropriate variables. The following variables are utilized:
X1 = total overall reported crime rate per 100,000 residents X2 = reported violent crime rate per 100,000 residents
X3 = % of people 25 years+ with 4 yrs. of high school
X4 = % of 16 to 19-year-olds not in high school and not high school graduates. X5 = % of 18 to 24-year-olds in college
X6 = % of people 25 years+ with at least 4 years of college
X1
X2
X3
X4
X5
X6
478
184
74
11
31
20
494
213
72
11
43
18
643
347
70
18
16
16
341
565
71
11
25
19
773
327
72
9
29
24
603
260
68
8
32
15
484
325
68
12
24
14
546
102
62
13
28
11
424
38
69
7
25
12
548
226
66
9
58
15
506
137…
Chapter 11 Solutions
Research Methods for the Behavioral Sciences (MindTap Course List)
Ch. 11.1 - Define a factorial research design, including the...Ch. 11.2 - Define a main effect for one factor and an...Ch. 11.2 - Explain how the existence of an interaction can...Ch. 11.2 - Describe and explain the independent relationship...Ch. 11.3 - Explain how a factorial study can combine...Ch. 11.3 - Identify the statistical analyses that are...Ch. 11.4 - Describe three specific applications of the...Ch. 11 - In addition to the key words, you should also be...Ch. 11 - In a classic study, Shrauger (1972) examined the...Ch. 11 - Suppose a researcher conducts a two-factor study...
Ch. 11 - The following matrix represents the results (the...Ch. 11 - The following data show the pattern of results...Ch. 11 - Explain why the main effects in a factorial study...Ch. 11 - Explain what is meant by the concept that main...Ch. 11 - In Figure 11.5, we show three combinations of main...Ch. 11 - For a two-factor research study with two levels...Ch. 11 - A researcher would like to use a factorial study...Ch. 11 - A two-factor analysis of variance is used to...Ch. 11 - A researcher has demonstrated that a new...
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
- Help me pleasearrow_forwardWrite a report of the different research design with exceptional of experimental research design.arrow_forwardA researcher wants to see if gender and / or income affects the total amount of help given to a stranger who is sitting on the side of a busy road with a sign asking for help. The independent variables are gender, income, and the interaction of gender and income. The dependent variable is total help. He wants to know if one or both factors – or the interaction of the two - affects the total amount of help offered. Because he is analyzing two independent variables (gender and income), he used a factorial ANOVA. His results show the main effect of each of the independent variables on the dependent variable (total help) and the interaction effect. The researcher is using a 95% confidence interval which means that he wants to be at least 95% sure that his independent variables affected total help if he rejects the null hypothesis. Below is the data set followed by the results:arrow_forward
- A study was conducted to assess the influence of various factors on the start of new firms in the computer chip industry. For a sample of 70 countries the following model was estimated: ŷ = -59.31 + 4.983x1 + 2.198x2 + 3.816x3 – 0.310x4 (1.156) (0.210) (2.063) (0.330) -0.886x5 + 3.215x6 + 0.85x7 (3.055) (1.568) (0.354) R2 = 0.766 where ŷ = new business starts in the industry X1 = population in millions X2 = industry size x3 = measure of economic quality of life measure of political quality of life measure of environmental quality of life measure of health and educational quality of life X4 X5 X6 = x7 = measure of social quality of life The numbers in parentheses under the coefficients are the estimated coefficient standard errors. (a) Determine which coefficients in the model are statistically significant? Provide a justification for your answer. (b) Is the overall regression equation statistically significant at the 1% level? Justify your answer.arrow_forwardA research has been conducted to determine the factors affecting the tax return preparation period. Accordingly, Y = b0 + b1x1 + b2x2 + b3x3 + b4x4+ ε model containing 4 independent variables was created. 40 accountants were interviewed and the following results were reached: y = 17,2 + 3,8x1 – 1,04x2 + 2,15x3 + 15,1x4 y : Tax filing preparation time (minutes) x1: Income of individuals ($ 1000) x2: Age of individuals x3: Number of people living in the household x4: 1 if individuals are hosts, 0 if not = 5.3, = 0.13, = 0.33, = 1.51, = 4.7, R2 = 0.45. a) Interpret the estimate ? b) interpret the value of R2 c) Whether the coefficient of ?4 is different from 0, by creating the relevant hypotheses, testing at the level of α = 0.01 significance Please. Interpret the results d) Test the zero hypothesis, expressed as ?1 = ?2 = ?3 = ?4 = 0, at the level of significance α = 0.01. Interpret the resultsarrow_forwardA research has been conducted to determine the factors affecting the tax return preparation period. Accordingly, Y = b0 + b1x1 + b2x2 + b3x3 + b4x4+ ε model containing 4 independent variables was created. 40 accountants were interviewed and the following results were reached: y = 17,2 + 3,8x1 – 1,04x2 + 2,15x3 + 15,1x4 y : Tax filing preparation time (minutes) x1: Income of individuals ($ 1000) x2: Age of individuals x3: Number of people living in the household x4: 1 if individuals are hosts, 0 if not = 5.3, = 0.13, = 0.33, = 1.51, = 4.7, R2 = 0.45. d) Test the zero hypothesis, expressed as b1 = b2 = b3 = b4 = 0, at the level of significance α = 0.01. Interpret the results? already a expert solved first three part can you help me with Darrow_forward
- A survey of high school students was done to examine whether students had ever driven a car after consuming a substantial amount of alcohol (1=yes, 0=no). Data was collected on their sex (male/female), race (White/non-White), and grade level (9,10,11,12). Researchers realized that the impact of race on consuming alcohol before driving might vary by grade level and decided to fit the following model. Variable Coding = 1 if Intercept Sex () Female Race () Black Grade level ( 9th grade 10th grade 11th grade [Reference = 12th grade] Attached is the logistic model 1. Compute the OR of drinking before driving for students who self-reported as Black versus non-Black in the 9th grade, adjusting for gender. 2. Compute the OR of drinking before driving for students who self-reported as Black versus non-Black in the 12th grade, adjusting for gender. 3. Compute the OR of drinking before driving for someone in the 9th grade versus 12th grade for a student who…arrow_forwardConsider a two factor factorial design with two design factors A and B. The significance of each of the main and interaction effects may be examined by an F-test. Explain why those F-tests are all one-sided tests.arrow_forwardExplain why a 3 way interaction will have more regression lines than a 2 way interaction.arrow_forward
- A researcher wants to see if gender and/or income affect the total amount of help given to a stranger who is sitting on the side of a busy road with a sign asking for help. The independent variables are gender, income, and the interaction of gender and income. The dependent variable is total help. He wants to know if one or both factors – or the interaction of the two - affect the total amount of help offered. Because he is analyzing two independent variables (gender and income), he used a factorial ANOVA. His results show the main effect of each of the independent variables on the dependent variable (total help) and the interaction effect. The researcher is using a 95% confidence interval which means that he wants to be at least 95% sure that his independent variables affected total help if he rejects the null hypothesis. What do the results of this study mean to you?arrow_forwardA researcher wants to see if gender and/or income affect the total amount of help given to a stranger who is sitting on the side of a busy road with a sign asking for help. The independent variables are gender, income, and the interaction of gender and income. The dependent variable is total help. He wants to know if one or both factors – or the interaction of the two - affect the total amount of help offered. Because he is analyzing two independent variables (gender and income), he used a factorial ANOVA. His results show the main effect of each of the independent variables on the dependent variable (total help) and the interaction effect. The researcher is using a 95% confidence interval which means that he wants to be at least 95% sure that his independent variables affected total help if he rejects the null hypothesis. What is the null hypothesis?arrow_forwardA researcher wants to see if gender and/or income affect the total amount of help given to a stranger who is sitting on the side of a busy road with a sign asking for help. The independent variables are gender, income, and the interaction of gender and income. The dependent variable is total help. He wants to know if one or both factors – or the interaction of the two - affect the total amount of help offered. Because he is analyzing two independent variables (gender and income), he used a factorial ANOVA. His results show the main effect of each of the independent variables on the dependent variable (total help) and the interaction effect. The researcher is using a 95% confidence interval which means that he wants to be at least 95% sure that his independent variables affected total help if he rejects the null hypothesis. Is there significance for either gender or income?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 Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics 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:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction 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
What Are Research Ethics?; Author: HighSchoolScience101;https://www.youtube.com/watch?v=nX4c3V23DZI;License: Standard YouTube License, CC-BY
What is Ethics in Research - ethics in research (research ethics); Author: Chee-Onn Leong;https://www.youtube.com/watch?v=W8Vk0sXtMGU;License: Standard YouTube License, CC-BY