## PSY520 Weeks 4-5 Assignments – GCU

PSY520 Weeks 4-5 Assignments – GCU

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PSY-520 Graduate Statistics

**Topic 3 – Probability Project**

Directions: Use the following information to complete the assignment. While APA format is not required for the body of this assignment, solid academic writing is expected, and documentation of sources should be presented using APA formatting guidelines, which can be found in the APA Style Guide, located in the Student Success Center.

There are many misconceptions about probability which may include the following.

· All events are equally likely

· Later events may be affected by or compensate for earlier ones

· When determining probability from statistical data, sample size is irrelevant

· Results of games of skill are unaffected by the nature of the participants

· “Lucky/Unlucky” numbers can influence random events

· In random event involving selection, results are dependent on number rather than rations

· If events are random then the results of a series of independent events are equally likely

The following statements are all incorrect. Explain the statements and the errors fully using the probability rules discussed in topic two.

1. I have flipped and unbiased coin three times and got heads, it is more likely to get tails the next time I flip it.

2. The Rovers play Mustangs. The Rovers can win, loose, or draw, so the probability that they win is 1/3.

3. I roll two dice and ad the results. The probability of getting a total of 6 is 1/12 because there are 12 different possibilities and 6 is one of them.

4. Mr. Purple has to have a major operation. 90% of the people who have this operation make a complete recovery. There is a 90% chance that Mr. Purple will make a complete recovery if he has this operation.

5. I flip two coins. The probability of getting heads and tails is 1/3 because I can get Heads and Heads, Heads and Tails, or Tails and Tails.

6. 13 is an unlucky number so you are less likely to win raffles with ticket number 13 than with a different dumber. PSY520 Weeks 4-5 Assignments – GCU

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### PSY520 Week 5-8 Assignments – GCU

Complete the following exercises located at the end of each chapter and put them into a Word document to be submitted as directed by the instructor.

Show all relevant work; use the equation editor in Microsoft Word when necessary.

1. Chapter 13, numbers 13.6, 13.8, 13.9, and 13.10

2. Chapter 14, numbers 14.11, 14.12, and 14.14

3. Chapter 15, numbers 15.7, 15.8, 15.10 and 15.14

GC PSY520 Week 5 Correlation and Regression

**Details:**

Use the attached document “Correlation and Regression” to complete the assignment.

While APA format is not required for the body of this assignment, solid academic writing is expected, and documentation of sources should be presented using APA formatting guidelines, which can be found in the APA Style Guide, located in the Student Success Center.

This benchmark assignment assesses the following programmatic competencies: 3.1 Interpret psychological phenomena using scientific reasoning.

PSY-520 Graduate Statistics

**Topic 5– Benchmark – Correlation and Regression Project**

Directions: Use the following information to complete the questions below. While APA format is not required for the body of this assignment, solid academic writing is expected, and documentation of sources should be presented using APA formatting guidelines, which can be found in the APA Style Guide, located in the Student Success Center.

1. Select at least three variables that you believe have a linear relationship.

a. Specify which variable is dependent and which are independent.

2. Collect the data for these variables and describe your data collection technique and why it was appropriate as well as why the sample size was best.

a. Submit the data collected by submitting the SPSS data file with your submission.

3. Find the Correlation coefficient for each of the possible pairings of dependent and independent variables and describe the relationship in terms of strength and direction.

4. Find a linear model of the relationship between the three (or more) variables of interest.

5. Explain the validity of the model.

**GC PSY520 Week 6 Exercise**

Complete the following exercises located at the end of each chapter and put them into a Word document to be submitted as directed by the instructor.

Show all relevant work; use the equation editor in Microsoft Word when necessary.

1. Chapter 16, numbers 16.9, 16.10, 16.12 and 16.14

2. Chapter 17, numbers 17.6, 17.7, and 17.8

3. Chapter 18, numbers 18.8, 18.11, and 18.12. PSY520 Weeks 4-5 Assignments – GCU

**GC PSY520 Week 7 Exercise**

**Details:**

Complete the following exercises located at the end of each chapter and put them into a Word document to be submitted as directed by the instructor.

Show all relevant work; use the equation editor in Microsoft Word when necessary.

1. Chapter 19, numbers 19.9, 19.10, 19.13, 19.14, and 19.16

2. Chapter 20, numbers 20.5, 20.6, 20.7, and 20.10

GCU PSY520 week 7 MANOVA Project

PSY-520 Graduate Statistics

**Topic 7 – MANOVA Project**

Directions: Use the following information to complete the assignment. While APA format is not required for the body of this assignment, solid academic writing is expected, and documentation of sources should be presented using APA formatting guidelines, which can be found in the APA Style Guide, located in the Student Success Center.

A researcher randomly assigns 33 subjects to one of three groups. Group 1 receives technical dietary information interactively from an on-line website. Group 2 receives the same information from a nurse

practitioner, while Group 3 receives the information from a video tape made by the same nurse practitioner.

The researcher looked at three different ratings of the presentation; difficulty, usefulness, and importance to determine if there is a difference in the modes of presentation. In particular, the researcher is interested in whether the interactive website is superior because that is the most cost-effective way of delivering the information.

Group Usefulness Difficulty Importance

1 20 5 18

1 25 9 8

1 23 15 20

1 16 9 22

1 20 6 22

1 28 14 8

1 20 6 13

1 25 8 13

1 24 10 24

1 18 10 20

1 17 9 4

2 28 7 14

2 25 14 5

2 26 9 20

2 19 15 22

2 29 14 12

2 15 6 2

2 29 10 5

2 26 11 1

2 22 5 2

2 15 15 14

2 29 6 4

2 15 6 3

3 22 8 12

3 27 9 14

3 21 10 7

3 17 9 1

3 16 7 12

3 19 9 7

3 23 10 1

3 27 9 5

3 23 9 6

3 16 14 22

1. Run the appropriate analysis of the data and interpret the results.

2. How could this study have been done differently? Why or why not would this approach be better? PSY520 Week 5-8 Assignments – GCU

### PSY-520 Module 7 Exercises – Graduate Statistics GCU

Chapter 15:4. When doing an experiment with many groups, what is the problem with doing t tests between all possible groups without any correction? Why does use of the analysis of variance avoid that problem? PSY520 Weeks 4-5 Assignments – GCU

The problem with utilizing a t-test with many groups is that there is an increase in the probability of a Type I error occurring. Yet, when we use the analysis of variance (ANOVA) method, it is specifically designed to be used when there are two or more groups. It allows researchers to evaluate the mean of the single hypothesis through an a-level and reduces the potential of a Type I error occurring.

8. What are the assumptions underlying the analysis of variance?

10. Find Fcrit for the following situations:a. df(numerator) = 2, df(denominator) = 16, ? = 0.05

b. df(numerator) = 3, df(denominator) = 36, ? = 0.05

c. df(numerator) = 3, df(denominator) = 36, ? = 0.01What happens to Fcrit as the degrees of freedom increase and alpha is held constant? What happens to Fcrit when the degrees of freedom are held constant and alpha is made more stringent? PSY520 Weeks 4-5 Assignments – GCU

12. What are the variables that affect the power of the one-way analysis of variance technique?

13. For each of the variables identified in Question 12, state how power is affected if the variable is increased. Use the equation for Fobt on p. 421 to justify your answer.

20. Assume you are a nutritionist who has been asked to determine whether there is a difference in sugar content among the three leading brands of breakfast cereal (brands A, B, and C). To assess the amount of sugar in the cereals, you randomly sample six packages of each brand and chemically determine their sugar content. The following grams of sugar were found:

a. Using the conceptual equations of the one-way ANOVA, determine whether any of the brands differ in sugar content. Use ? = 0.05.

b. Same as part a, except use the computational equations. Which do you prefer? Why?c. Do a post hoc analysis on each pair of means using the Tukey HSD test with ? = 0.05 to determine which cereals are different in sugar content.

d. Same as part c, but use the .

e. Explain any differences between the results of part c and part d.

23. Assume you are employed by a consumer-products rating service and your assignment is to assess car batteries. For this part of your investigation, you want to determine whether there is a difference in useful life among the top-of-the-line car batteries produced by three manufacturers (A, B, and C). To provide the database for your assessment, you randomly sample four batteries from each manufacturer and run them through laboratory tests that allow you to determine the useful life of each battery. The following are the results given in months of useful battery life:

a. Use the analysis of variance with ? = 0.05 to determine whether there is a difference among these three brands of batteries.

b. Suppose you are asked to make a recommendation regarding the batteries based on useful life. Use the Tukey HSD test with ? = 0.05 to help you with your decision.

26. A university researcher knowledgeable in Chinese medicine conducted a study to determine whether acupuncture can help reduce cocaine addiction. In this experiment, 18 cocaine addicts were randomly assigned to one of three groups of 6 addicts per group. One group received 10 weeks of acupuncture treatment in which the acupuncture needles were inserted into points on the outer ear where stimulation is believed to be effective. Another group, a placebo group, had acupuncture needles inserted into points on the ear believed not to be effective. The third group received no acupuncture treatment; instead, addicts in this group received relaxation therapy. All groups also received counseling over the 10-week treatment period. The dependent variable was craving for cocaine as measured by the number of cocaine urges experienced by each addict in the last week of treatment. The following are the results.

a. Using ? =0.05, what do you conclude?

b. If there is a significant effect, estimate the size of effect, using .

c. This time estimate the size of the effect, using ?².

d. Explain the difference in answers between part b and part c.

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Chapter 16:11. It is theorized that repetition aids recall and that the learning of new material can interfere with the recall of previously learned material. A professor interested in human learning and memory conducts a 2 X 3 factorial experiment to investigate the effects of these two variables on recall. The material to be recalled consists of a list of 16 nonsense syllable pairs. The pairs are presented one at a time, for 4 seconds, cycling through the entire list, before the first pair is shown again. There are three levels of repetition: level 1, in which each pair is shown 4 times; level 2, in which each pair is shown 8 times; and level 3, in which each pair is shown 12 times. After being presented the list the requisite number of times and prior to testing for recall, each subject is required to learn some intervening material. The intervening material is of two types: type 1, which consists of number pairs, and type 2, which consists of nonsense syllable pairs.After the intervening material has been presented, the subjects are tested for recall of the original list of 16 nonsense syllable pairs. Thirty-six college freshmen serve as subjects. They are randomly assigned so that there are six per cell. The following scores are recorded; each is the number of syllable pairs from the original list correctly recalled. PSY520 Weeks 4-5 Assignments – GCU

a. What are the null hypotheses for this experiment?

b. Using ? =0.05, what do you conclude? Plot a graph of the cell means to help you interpret theresults.

12. Assume you have just accepted a position as chief scientist for a leading agricultural company. Your first assignment is to make a recommendation concerning the best type of grass to grow in the Pacific Northwest and the best fertilizer for it. To provide the database for your recommendation, having just graduated summa cum laude in statistics, you decide to conduct an experiment involving a factorial independent groups design. Since there are three types of grass and two fertilizers under active consideration, the experiment you conduct is 2 X 3 factorial, where the A variable is the type of fertilizer and the B variable is the type of grass. In your field station, you duplicate the soil and the climate of the Pacific Northwest. Then you divide the soil into 30 equal areas and randomly set aside 5 for each combination of treatments. Next, you fertilize the areas with the appropriate fertilizer and plant in each area the appropriate grass seed. Thereafter, all areas are treated alike. When the grass has grown sufficiently, you determine the number of grass blades per square inch in each area. Your recommendation is based on this dependent variable. The “denser” the grass is, the better. The following scores are obtained:

a. What are the null hypotheses for this experiment?

b. Using ? = 0.05, what are your conclusions? Draw a graph of the cell means to help you interpret the results.

13. A sleep researcher conducts an experiment to determine whether a hypnotic drug called Drowson, which is advertised as a remedy for insomnia, actually does promote sleep. In addition, the researcher is interested in whether a tolerance to the drug develops with chronic use. The design of the experiment is a 2 X 2 factorial independent groups design. One of the variables is the concentration of Drowson. There are two levels: (1) zero concentration (placebo) and (2) the manufacturer’s minimum recommended dosage. The other variable oncerns the previous use of Drowson. Again there are two levels: (1) subjects with no previous use and (2) chronic users. Sixteen individuals with sleep onset insomnia (difficulty in falling asleep) who have had no previous use of Drowson are randomly assigned to the two concentration conditions, such that there are eight subjects in each condition. Sixteen chronic users of Drowson are also assigned randomly to the two conditions, eight subjects per condition. All subjects take their prescribed “medication” for 3 consecutive nights, and the time to fall asleep is recorded. The scores shown in the following table are the mean times in minutes to fall asleep for each subject, averaged over the 3 days:

a. What are the null hypotheses for this experiment?

b. Using ? = 0.05, what do you conclude? Plot a graph of the cell means to help you interpret the results.

**References**

Academic Web Services (n.d.). The Visual Learner – Statistics. Retrieved from: http://lc.gcumedia.com/zwebassets/courseMaterialPages/psy520_the-visual-learner-v1.1.php. Pagano, R. (2013). Understanding Statistics in the Behavioral Sciences (10th ed.). Wadsworth-Cengage Learning. PSY-520 Module 7 Exercises – Graduate Statistics GCU

**GCU PSY520 week 8 Research Question Project**

In 1,250-1,500 words, answer the following questions about possible research options.

Create a research question in the field of psychology that you are interested in researching. Write questions clearly. Include a brief background of the problem you are proposing and why it is important to the field of psychology.

State the null and alternative hypothesis (in both words and statistical notation) need to address the research question.

Choose which statistical test would be used to conduct the study and support it with research.

Describe the type of data needs to be collected to conduct the study and what techniques are best for collecting data.

Use three to five scholarly resources to support your explanations.

Prepare this assignment according to the guidelines found in the APA Style Guide, located in the Student Success Center. An abstract is not required.

This assignment uses a rubric. Please review the rubric prior to beginning the assignment to become familiar with the expectations for successful completion.

You are required to submit this assignment to Turnitin. Please refer to the directions in the Student Success Center. PSY520 Weeks 4-5 Assignments – GCU

**GC PSY520 Week 8 Exercise**

Show all relevant work; use the equation editor in Microsoft Word when necessary.

1. Chapter 21, numbers 21.4, 21.7, 21.8, 21