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PSYC FPX 4700 Assessment 4 Anova Chi Square Tests and Regression

Name

Capella University

PSYC FPX 4700 Statistics for the Behavioral Sciences

Prof. Name

Date

ANOVA

Exercise Set 4.1: Significance Threshold

Criterion: Elucidation of the Relationship between k and Power Based on Calculated k Values
Instructions:

Work through the following exercise and write down the values observed in the F-table to gain familiarity with it.

Level of Significance
k = 2
k = 4
k = 6
k = 8

.05

___

___

___

___

.01

___

___

___

___

Analyzing the F-table: The F-table displays the degrees of freedom for the numerator (k − 1) across columns and for the denominator (N − k) across rows. Separate tables are provided for .05 and .01 levels of significance.

As k increases (from 1 to 8), does the critical value increase or decrease? Substantiate your answer by explaining the relationship between k and power.

Exercise Set 4.2: Analyzing Variance Unilaterally with JASP

Criterion: ANOVA Calculation in JASP

Data: Utilize the dataset stress.jasp, which records the fat consumption (in grams) among professional bodybuilders under various stress conditions.

Instructions:
  1. Download stress.jasp and open it in JASP.
  2. In the Toolbar, select ANOVA under Classical.
  3. Choose Fat grams consumed and Stress level as Dependent and Fixed factors, respectively.
  4. Enable the Descriptive statistics option.
  5. Copy and paste the output.

Exercise Set 4.3: Performing Analysis of Variance (ANOVA) Using Excel

Criterion: ANOVA Calculation in Excel
Instructions:

Utilize the provided data to perform the following steps:

Stress Levels
   
 

High

Moderate

Low

10

9

9

7

4

4

8

7

6

12

6

5

6

8

7

 
  1. Label rows as High, Moderate, and Low.
  2. In the toolbar, select Data Analysis, choose Anova: Single Factor, and proceed.
  3. Specify Input Range as $A$1:$C$6, ensuring to check Labels in First Row.
  4. Copy and paste the output.

Exercise Set 4.4: APA-Style Presentation of One-Way ANOVA Findings

Criterion: Reporting ANOVA Results in APA Format

Data: Utilize the results from the preceding exercise.

Instructions:
  1. State the null hypothesis.
  2. Present the results in APA format, akin to a journal article.

Exercise Set 4.5: Deciphering ANOVA Findings

Criterion: Interpretation of ANOVA Outcomes
Instructions:

Review the data on life satisfaction among sport coaches and identify significant factors at a .05 significance level, while also stating the number of levels for each factor.

Exercise Set 4.6: Performing Tukey’s Honestly Significant Difference Test using JASP

Criterion: Post hoc Analyses in JASP

Data: Utilize the stress.jasp dataset from Exercise Set 4.2.

Instructions:

Follow the steps listed below, with a note that the initial 7 steps are repeated from Exercise Set 4.2:

  1. Download stress.jasp and open it in JASP.
  2. Select ANOVA under Classical in the Toolbar.
  3. Choose Fat grams consumed and Stress level as Dependent and Fixed factors, respectively.
  4. Enable the Descriptive statistics option.
  5. Select Post-Hoc Tests and opt for Stress level, then move it to the right box.
  6. Check Standard and Tukey and uncheck other boxes in the Post-Hoc section.
  7. Copy and paste the output.

Exercise Set 4.7:Deciphering Tukey’s Honestly Significant Difference Findings

Criterion: Interpretation of Tukey HSD Output from JASP

Data: Utilize the output from Exercise Set 4.6.

Instructions:

Identify significant differences between stress levels at the .05 significance level.

Chi-Square Tests

Exercise Set 4.8: Vital Thresholds

Criterion: Comprehension of Changes in Critical Values
Instructions:

Review the chi-square table and record critical values for chi-square tests at various levels of significance and k values.

Exercise Set 4.9: Statistical Analysis Using Parametric Methods

Criterion: Identification of Parametric Tests
Instructions:

Based on the data’s scale of measurement, determine if a test is parametric or nonparametric for each scenario provided.

Exercise Set 4.10: Exploring Relationships: Chi-Square Examination Using JASP

Criterion: Conducting a Chi-Square Analysis in JASP

Data: Utilize the dataset yummy.jasp, which records ice cream sales.

Instructions:
  1. Download yummy.jasp and open it in JASP.
  2. Select Frequencies under Classical in the Toolbar.
  3. Choose Multinomial Test.
  4. Specify Flavor as Factor and Frequency as Counts.
  5. Fill in Expected Proportions.
  6. Enable Descriptives and Proportions.
  7. Copy and paste the output.
  8. Determine if Tandy’s distribution of proportions aligns with expectations.

Regression

Exercise Set 4.11: Analysis of Regression in JASP

Criterion: Regression Analysis in JASP

Data: Utilize the dataset satisfaction.jasp, which records life satisfaction ratings based on age.

Instructions:
  1. Download satisfaction.jasp and open it in JASP.
  2. Select Regression under Classical in the Toolbar.
  3. Choose Life Satisfaction as Dependent and Age as Covariates.
  4. Set Method to “Enter” and enable desired statistics.
  5. Copy and paste the output.

Exercise Set 4.12: Examining Regression Using Excel

Criterion: Regression Analysis in Excel

Data: Utilize the provided data.

Instructions:

Enter data into Excel, perform regression analysis, and copy the output.

Exercise Set 4.13: Discovering Assessments for Categorical Data Ranks

Criterion: Identifying Tests for Ordinal Data
Instructions:

Identify suitable nonparametric tests for each provided scenario and justify your choices.

PSYC FPX 4700 Assessment 4 Anova Chi Square Tests and Regression

References:

Drakou, A., & Petraitis, L. (2006). Life satisfaction among sport coaches: The role of sex, age, marital status, and education. Journal of Sport Psychology, 15(2), 213-226.

 

PSYC FPX 4700 Assessment 4 Anova Chi Square Tests and Regression

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