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Jan 9, 2024
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Lab 14: Lack of Fit Tests and Correlation
REVIEW QUESTIONS
Writing complete factorial models and drawing interactions 1)
a.) How do you write a two-factor complete factorial in a CRD? b.)
How about a three factor? c.)
What if I changed the design to complete factorial in a RCBD? d.)
What are the assumptions for a RCBD?
2.) Draw a significant three-factor interaction if A = 2 levels, B = 2 levels, and C = 3 levels. Marginal means and model selection 3) What are the kinds of marginal means we have discussed in the course thus far? How do we calculate them?
1
4) If I am reading a word problem, what clues am I looking for to know if I should be using a CRD, RCBD, or Latin square design?
4b) What are some ways we have discussed to quantify if a RCBD is better than a CRD? How do
calculate it and what does it mean?
Understanding differences in designs and fixed versus random effects
5) Compare and contrast between a fixed effect and a random effect. Give an example of an RCBD where the blocks should be fixed, and one example of an RCBD where the blocks should be random. 2
6) Suppose that an RCBD has been implemented, and that the block effect was significant in the corresponding statistical model. Moreover, suppose that the MSE from this RCBD statistical model was compared to the MSE of a CRD model. Which model would you expect to have a smaller MSE? MORE ON LINEAR REGRESSION
Lack of Fit Tests
7.) We have a dataset that takes a sample of 10 Pittsburgh Penguins players and their penalty infraction minutes (x variable) and their points scored (Y variable) during the 2017 Stanley Cup Playoffs. The data are presented below. Xi
Yij
Ybar i (Yij - Ybar i)^2
70
33
19
196
70
5
19
196
35
9
10.5
2.25
35
12
10.5
2.25
25
21
32.5
132.25
25
44
32.5
132.25
21
23
23
0
21
23
23
0
10
16
15.5
0.25
10
15
15.5
0.25
SUM: 661.5
3
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Related Questions
In the context of a Factorial Design, what is an interaction? What is an example of an interaction?
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A mail-order catalog firm would like to test the effect of the size of a magazine advertisement and the advertisement design on the number of catalog requests received (data in thousands). Three advertising designs and two different size advertisements were considered. The data obtained follow.
At the 0.05 level of significance,
a. Is there an interaction between type of design and size of advertisement?
b. Is there an effect due to type of design?
c. Is there an effect due to size of advertisement?
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A correlational study is designed to
A) test causal inferences
B) assess the assocation between two measures
C)compare the means of three or more groups
D) manipulate the independent variables
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]14. Many animals, including humans, tend
to avoid direct eye contact and even patterns
that look like eyes. Some insects, including
moths, have evolved eye-spot patterns on
their wings to help ward off predators.
Scaife (1976) reports a study examining how
eye-spot patterns affect the behaviour of
birds. In the study, the birds were tested in a
box with two chambers and were free to
move from one chamber to another. In one
chamber, two large eye-spots were painted
on one wall. The other chamber had plain
walls. The researcher recorded the amount
of time each bird spent in the plain chamber
during a 60-minute session. Suppose the
study produced a mean of M
34.5 minutes
on the plain chamber with SS = 210 for a
sample
of n =
15 birds. (Now: If the eye spots have
no effect. then the birds should spend an
average of u = 30 minutes in each chamber.)
a. Is this sample sufficient to conclude that
the eyes pots have a significant influence on
the bird's behaviour? Ike a two-tailed test
with…
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Can you explain more about the interactions betwee age and gender, and more about if there are any interaction or difference for neuron number with the data provided?
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Why are interaction effects only associated with factorial designs?
Examine the following data table and indicate the presence of (a) main effect of A, (b)
main effect of B, (c) and interaction effect. Verify this with a graph.
Factor B
B1
B2
Factor A
A1
10
5
A2
5
10
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I need help with 1, 2 and 3 plz.
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A market researcher is trying to determine how age, gender, and race/ethnicity are related to whether or not people own a device for streaming content to a television. In this study, ownership of a streaming device is the:
Group of answer choices
a). dependent variable
b). causal variable
c). independent variable
d). control variable
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I need help with 4 and 7
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) Which model is the better predictor based on the MSE
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identify the following:d) Decision Rulee) Test Statisticsf) Decisiong) Conclusion
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The correlation coefficient, R, measures
a) whether or not a scatterplot shows an interesting pattern.
b) whether or not a cause-and-effect relation exists between two variables.
c) the strength and direction of the linear relation between two variables.
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The correlation coefficient between factor score and the variables included in the study is known as:
a.
Component Matrix
b.
Rotated Component Matrix
c.
Communalities
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Question 1
a) Prepare the bar plot of variable 1.
b) Prepare the pie drawing of variable number 2.
c) Prepare a cross chart of your variables 1 and 2 and draw a clustered bar.
Variable 1: HEI 2005, mobility level of participants (Source: Paul Newbold, Statistics for Business and
Economics, translation from 8th edition, translation: Umit Şenesen).
MOBILITY LEVEL
PARTICIPANTS
Still
2183
Active
757
Energetic
1520
Variant 2: HEI 2005, gender of the participants (Source: Paul Newbold, Statistics for Business and Economics,
translation from 8th edition, translation: Ümit Şenesen).
GENDER
PARTICIPANTS
Woman
2321
Male
2139
arrow_forward
A study that tells us whether two variables are associated, but does not tell us if one variable causes or influences the other, is:
Question 2 options:
A)
a n experimental study without a control group.
B)
a descriptive study.
C)
a correlational study.
D)
an experimental study with one or more control groups.
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Factorial designs allow us to study both (blank) effects of the independent variables on the dependent variables.
A. Main and interactive
B. Symbiotic and dichotomous
C. Dependent and independent
D. Rank order and correlational
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4) Many animals, including humans, tend to avoid direct eye contact and even patterns that look like eyes. Some insects, including moths, have evolved eye-spot patterns on their wings to help ward off predators. Scaife (1976) reports a study examining how eye-spot patterns affect the behavior of birds. In the study, the birds were tested in a box with two chambers and were free to move from one chamber to another. In one chamber, two large eye-spots were painted on one wall. The other chamber had plain walls. The researcher recorded the amount of time each bird spent in the plain chamber during a 60-minute session. Suppose the study produced a mean of M = 34.5 minutes in the plain chamber with SS = 210 for a sample of n = 15 birds. (Note: If the eye-spots have no effect, then the birds should spend an average of µ = 30 minutes in each chamber.)
a) Is this sample sufficient to conclude that the eye-spots have a significant influence on the birds’ behavior? Use a two-tailed test with α =…
arrow_forward
USE TABLE IN PIC
Use the same data in Table 2 (Annual Expenses):a. Find the Coefficient Correlation between two variables (Annual Income and Annual Expenses).b. Draw the Scatter Chart in Excel and give the conclusion between these variables
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7) The following results are from data that were collected from a sample of Chicago Cubs baseball games. The dependent variable is ATTENDANCE, TEMP is a variable measuring the forecasted game-time temperature: WIN% is a variable measuring the winning percentage of the Cubs before the game is played, OPWIN% is a variable measuring the winning percentage of their opponent, WEEKEND is a dummy variable = 1 if the game is played on a weekend and = 0 if the game is played during a weekday, PROMOTION is a dummy variable = 1 if there is a promotion for the game (giving away something to those who attend the game) and = 0 if there is not a promotion, and WEEK*PROM is an interaction term equal to WEEKEND*PROMOTION. What is the predicted attendance if TEMP = 70, WIN% = 500, OPWIN% = 500, the game is played on a weekday and there is NO promotion?
e) What is the predicted attendance if TEMP = 70, WIN% = 500, OPWIN% = 500, the game is played on a weekday and there is a promotion?
f) Based on…
arrow_forward
7) The following results are from data that were collected from a sample of Chicago Cubs baseball games. The dependent variable is ATTENDANCE, TEMP is a variable measuring the forecasted game-time temperature: WIN% is a variable measuring the winning percentage of the Cubs before the game is played, OPWIN% is a variable measuring the winning percentage of their opponent, WEEKEND is a dummy variable = 1 if the game is played on a weekend and = 0 if the game is played during a weekday, PROMOTION is a dummy variable = 1 if there is a promotion for the game (giving away something to those who attend the game) and = 0 if there is not a promotion, and WEEK*PROM is an interaction term equal to WEEKEND*PROMOTION.
a) What is the predicted attendance if TEMP = 70, WIN% = 500, OPWIN% = 500, the game is played on a weekend and there is NO promotion?
b) What is the predicted attendance if TEMP = 70, WIN% = 500, OPWIN% = 500, the game is played on a weekend and there is a promotion?
c) Based on…
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4. From 2007 to 2016, a different intervention each year has been given to promote community organization
membership. Another indicator of the dynamics of WEEL is membership. The household survey
respondents were also asked of the year that they became a member of any organization. Is the decision
to become a member of the organization been equally likely across interventions? In case you want to
replicate the iven results from R Commander, the collected data can be accessed in the householdsurvey
worksheet.
Write a brief narrative about the analysis (see R Commander Output #13) using these guide questions:
a. What is the set of hypotheses to answer the objectives of the problem?
b. What is the appropriate test procedure to use?
c. Is there evidence that the membership in the organization is not equally likely across interventions
(years)?
d. Using the estimated proportions, which year recorded the greatest percentage of membership?
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25)
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A method of gathering data when individuals are paid to discuss their attitudes towards products or services in a group setting controlled by a moderator is known as ____________.
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SEE MORE QUESTIONS
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- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
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