Statistics for Psychology
6th Edition
ISBN: 9780205258154
Author: Arthur Aron Ph.D., Elaine N. Aron Ph.D., Elliot Coups Ph.D., Cole Publishing
Publisher: PEARSON
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Chapter 9, Problem 1.1HD
To determine
Explain the situation in which analysis of variance can be used.
Expert Solution & Answer
Explanation of Solution
ANOVA: Analysis variance is a test for analyzing and comparing the different group means.
For comparing the means of three or more populations, analysis of variance can be used.
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Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include:
Mileage (mpg)
Number of Cylinders (cyl)
Displacement (disp)
Horsepower (hp)
Research: Google to understand these variables.
Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp
Mean
Median
First Quartile (Q1)
Second Quartile (Q2)
Third Quartile (Q3)
Fourth Quartile (Q4)
10th Percentile
70th Percentile
Skewness
Kurtosis
Document Your Results:
In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command”
In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…
Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include:
Mileage (mpg)
Number of Cylinders (cyl)
Displacement (disp)
Horsepower (hp)
Research: Google to understand these variables.
Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp
Mean
Median
First Quartile (Q1)
Second Quartile (Q2)
Third Quartile (Q3)
Fourth Quartile (Q4)
10th Percentile
70th Percentile
Skewness
Kurtosis
Document Your Results:
In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command”
In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…
Chapter 9 Solutions
Statistics for Psychology
Ch. 9 - Prob. 1.1HDCh. 9 - (a) What is the within-groups population variance...Ch. 9 - What is the between-groups population variance...Ch. 9 - What are two sources of variation that can...Ch. 9 - Prob. 1.5HDCh. 9 - For part (c) of each question, use the following...Ch. 9 - For part (c) of each question, use the following...Ch. 9 - Prob. 2.3HDCh. 9 - For part (c) of each question, use the following...Ch. 9 - For part (c) of each question, use the following...
Ch. 9 - Prob. 2.6HDCh. 9 - Give three assumptions for the analysis of...Ch. 9 - Prob. 3.3HDCh. 9 - What is the general rule about when violations of...Ch. 9 - (a) What is a planned contrast? (b) Why do...Ch. 9 - Prob. 4.2HDCh. 9 - Prob. 4.3HDCh. 9 - Prob. 4.4HDCh. 9 - Prob. 4.5HDCh. 9 - (a) What is a planned contrast? (b) Why do...Ch. 9 - Prob. 5.2HDCh. 9 - Prob. 5.3HDCh. 9 - Prob. 5.4HDCh. 9 - Prob. 5.5HDCh. 9 - Prob. 6.1HDCh. 9 - Prob. 6.2HDCh. 9 - Prob. 6.3HDCh. 9 - Prob. 6.4HDCh. 9 - Prob. 6.5HDCh. 9 - For each of the following studies, decide whether...Ch. 9 - For each of the following studies, (a) and (b),...Ch. 9 - A psychologist at a private psychiatric hospital...Ch. 9 - What is the Bonferroni corrected significance...Ch. 9 - For each of the following studies, test whether a...Ch. 9 - What is the power of each of the following planned...Ch. 9 - Prob. 9PPCh. 9 - Grilo and colleagues (1997) are clinical...Ch. 9 - A researcher wants to know whether the need for...Ch. 9 - Prob. 12PPCh. 9 - For each of the following studies, decide whether...Ch. 9 - For each of the following studies, (a) and (b),...Ch. 9 - Do students at various universities differ in how...Ch. 9 - What is the Bonferroni corrected significance...Ch. 9 - Prob. 20PPCh. 9 - Prob. 21PPCh. 9 - Prob. 22PPCh. 9 - Prob. 23PPCh. 9 - Prob. 24PPCh. 9 - Miller (1997) asked 147 female students to view...
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- Examine the Variables: Carefully review and note the names of all variables in the dataset. Examples of these variables include: Mileage (mpg) Number of Cylinders (cyl) Displacement (disp) Horsepower (hp) Research: Google to understand these variables. Statistical Analysis: Select mpg variable, and perform the following statistical tests. Once you are done with these tests using mpg variable, repeat the same with hp Mean Median First Quartile (Q1) Second Quartile (Q2) Third Quartile (Q3) Fourth Quartile (Q4) 10th Percentile 70th Percentile Skewness Kurtosis Document Your Results: In RStudio: Before running each statistical test, provide a heading in the format shown at the bottom. “# Mean of mileage – Your name’s command” In Microsoft Word: Once you've completed all tests, take a screenshot of your results in RStudio and paste it into a Microsoft Word document. Make sure that snapshots are very clear. You will need multiple snapshots. Also transfer these results to the…arrow_forward2 (VaR and ES) Suppose X1 are independent. Prove that ~ Unif[-0.5, 0.5] and X2 VaRa (X1X2) < VaRa(X1) + VaRa (X2). ~ Unif[-0.5, 0.5]arrow_forward8 (Correlation and Diversification) Assume we have two stocks, A and B, show that a particular combination of the two stocks produce a risk-free portfolio when the correlation between the return of A and B is -1.arrow_forward
- 9 (Portfolio allocation) Suppose R₁ and R2 are returns of 2 assets and with expected return and variance respectively r₁ and 72 and variance-covariance σ2, 0%½ and σ12. Find −∞ ≤ w ≤ ∞ such that the portfolio wR₁ + (1 - w) R₂ has the smallest risk.arrow_forward7 (Multivariate random variable) Suppose X, €1, €2, €3 are IID N(0, 1) and Y2 Y₁ = 0.2 0.8X + €1, Y₂ = 0.3 +0.7X+ €2, Y3 = 0.2 + 0.9X + €3. = (In models like this, X is called the common factors of Y₁, Y₂, Y3.) Y = (Y1, Y2, Y3). (a) Find E(Y) and cov(Y). (b) What can you observe from cov(Y). Writearrow_forward1 (VaR and ES) Suppose X ~ f(x) with 1+x, if 0> x > −1 f(x) = 1−x if 1 x > 0 Find VaRo.05 (X) and ES0.05 (X).arrow_forward
- Joy is making Christmas gifts. She has 6 1/12 feet of yarn and will need 4 1/4 to complete our project. How much yarn will she have left over compute this solution in two different ways arrow_forwardSolve for X. Explain each step. 2^2x • 2^-4=8arrow_forwardOne hundred people were surveyed, and one question pertained to their educational background. The results of this question and their genders are given in the following table. Female (F) Male (F′) Total College degree (D) 30 20 50 No college degree (D′) 30 20 50 Total 60 40 100 If a person is selected at random from those surveyed, find the probability of each of the following events.1. The person is female or has a college degree. Answer: equation editor Equation Editor 2. The person is male or does not have a college degree. Answer: equation editor Equation Editor 3. The person is female or does not have a college degree.arrow_forward
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