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Mathematics & Economics
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Math Problem
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Topic:
ONE-WAY ANOVA
Math Problem Instructions:
SPSS HOMEWORK: ONE-WAY ANOVA ASSIGNMENT INSTRUCTIONS
OVERVIEW
This assignment is designed to increase your statistical literacy and proficiency in conducting and interpreting the one-way ANOVA. You will be completing two one-way ANOVA analyses in SPSS, using data that are related to specific research scenarios in the behavioral sciences, such as psychology, social work, and counseling. You will also be completing one Cumulative Knowledge Question that will use an analysis learned in a previous week. Behind the scenes knowledge of how this test is conducted is fundamental to being able to understand and apply research in your related field to your practice. Additionally, SPSS skills are professionally valuable, as it is one of the most commonly used statistical software packages in behavioral science settings, both academic and professional.
INSTRUCTIONS
• This assignment includes three problem sets that contain research scenarios and related questions.
• For each scenario, you will run an analysis in SPSS. The required product will include the SPSS output, an APA-style Results section describing the results, and the appropriate graph inserted as a Figure in APA style.
• For each scenario, you will create a new SPSS data file with the data from the problem scenario. ALL variable names in your SPSS data files must include your initials, so that they show up in your SPSS output and graph. For example, for someone with the initials ABC creating a variable of memory scores, the variable could be named “ABC_mem_scores” or “Mem_Scores_ABC”, etc.
• For all problems, interpret results based on an alpha level of = .05.
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Math Problem Sample Content Preview:
The One-way ANOVA and Cumulative Knowledge Question
Student Name
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Professor Name
Course
Date
The One-way ANOVA and Cumulative Knowledge Question
Problem Set 1: The One-way ANOVAResearch Scenario: A group of clinical psychologists conducts a randomized clinical trial examining psychosocial and pharmaceutical treatments, alone or in combination, for Social Anxiety Disorder (SAD). Participants who have been diagnosed with SAD are randomly assigned to one of three treatment groups: cognitive behavioral therapy (CBT); Paxil ® (a common SSRI prescribed to patients with SAD); and CBT + Paxil ®. The participants are assessed after 6 months of treatment using the Social Avoidance and Distress Scale (SADS; Watson and Friend, 1969), where higher scores indicate higher levels of social anxiety. Their SADS scores are in the table below.Using this table, enter the data into a new SPSS data file and run a one-way ANOVA to test whether there is a difference in SADS scores between the three treatments. Remember to put your initials within any and all variable names. Create a boxplot to show the difference between the groups. Follow the directions below the table to complete the homework.Problem Set 1: The One-way ANOVAResearch Scenario: A group of clinical psychologists conducts a randomized clinical trial examining psychosocial and pharmaceutical treatments, alone or in combination, for Social Anxiety Disorder (SAD). Participants who have been diagnosed with SAD are randomly assigned to one of three treatment groups: cognitive behavioral therapy (CBT); Paxil ® (a common SSRI prescribed to patients with SAD); and CBT + Paxil ®. The participants are assessed after 6 months of treatment using the Social Avoidance and Distress Scale (SADS; Watson and Friend, 1969), where higher scores indicate higher levels of social anxiety. Their SADS scores are in the table below.Using this table, enter the data into a new SPSS data file and run a one-way ANOVA to test whether there is a difference in SADS scores between the three treatments. Remember to put your initials within any and all variable names. Create a boxplot to show the difference between the groups. Follow the directions below the table to complete the homework.
CBT
Paxil ®
CBT + Paxil ®
16
18
25
20
21
16
19
19
17
25
18
14
12
23
19
27
12
12
14
25
18
16
20
13
1 Paste SPSS output. (10 pts)
ANOVA
TJP_SADS score
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
50.083
2
25.042
1.318
.289
Within Groups
398.875
21
18.994
Total
448.958
23
2 Write an APA-style Results section based on your analysis. Include your boxplot as an APA-style Figure, with figure number and title, as demonstrated in the Results Section presentation. (Results = 12 pts; Figure = 8 pts)
Results
Whether there is a Difference in SADS Scores between the Three Treatments
From the ANOVA results, the p-value is 0.289, which is more than 0.05 significance level. It demonstrates that the SADS scores between the three treatments are not significantly related. Therefore, there is no difference in SADS Scores between the three treatments.
Problem Set 2: The One-way ANOVAResearch Scenario: A developmental psychologist is studying the progression of object permanence (the understanding that an object still exists even if it’s out of sight). She tests three groups of infants – ten who are 9 months old, eight who are 12 months old, and ten who are 15 months old. She presents each of the infants with 10 trials. On each trial, a toy is first shown to the child and then covered with a piece of cloth. The infant demonstrates o...
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