Quantitative Analysis & Design

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Quantitative Analysis & Design

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Please do each part separately. This is falls in the same perimeters of the last assignment that you completed for me. Please let me know if any additional information is needed. Thank you.

Part 1 Histograms and Descriptive Statistics
Section 1: Histograms and Visual Interpretation
Section 1 will include one histogram of total scores for all the males in the data set, and one histogram of total scores for all the females in the data set.
Using the total and gender variables in your grades.sav data set, create two histograms:
A histogram for male students.
A histogram for female students.
Copy the histogram output from SPSS and paste it into a Word document. Below the histograms in your Word document, provide an interpretation based on your visual inspection. Correctly use all of the following terms in your discussion:
Skew.
Kurtosis.
Outlier.
Symmetry.
Modality.
Comment on any differences between males and females regarding their total scores. Analyze the strengths and limitations of visually interpreting histograms.
Section 2: Calculate and Interpret Measures of Central Tendency and Dispersion
Using the grades.sav file, compute descriptive statistics, including mean, standard deviation, skewness, and kurtosis for the following variables:
id
gender
ethnicity
gpa
quiz3
total
Copy the descriptives output from SPSS and paste it into your Word document. Below the descriptives output table in your Word document:
Indicate which variables are meaningless to interpret in terms of mean, standard deviation, skewness, and kurtosis. Justify your decision.
Next, indicate which variables are meaningful to interpret. Justify your decision.
For the meaningful variables, do the following:
Specify any variables that are in the ideal range for both skewness and kurtosis.
Specify any variables that are acceptable but not excellent.
Specify any variables that are unacceptable.
Explain your decisions.
For all meaningful variables, report and interpret the descriptive statistics (mean, standard deviation, skewness, and kurtosis).

Part 2 Correlations
You will analyze the following variables in the grades.sav data set:
gender
gpa
total
final
Step 1: Write Section 1 of the DAA.
Provide the context of the grades.sav data set.
Include a definition of the specified variables and corresponding scales of measurement.
Indicate the type of correlation for each X, Y pair (Pearson’s r, Spearman’s r, point-biserial r, et cetera).
Specify the sample size of the data set.
Step 2: Write Section 2 of the DAA.
Test the assumptions of correlation for gpa and final.
Paste the SPSS histogram output for each variable and discuss your visual interpretations.
Paste SPSS descriptives output showing skewness and kurtosis values and interpret them.
Paste SPSS scatter plot output with “gpa” set to the horizontal axis and “final” set to the vertical axis. Conduct a visual inspection of the scatter plot to analyze other assumptions of correlation.
Summarize whether or not the assumptions of correlation are met.
Step 3: Write Section 3 of the DAA.
Specify a research question related to gpa and final.
Articulate the null hypothesis and alternative hypothesis.
Specify your alpha level.
Step 4: Write Section 4 of the DAA.
Paste the SPSS output of the intercorrelation matrix for all specified variables.
First, report the lowest magnitude correlation in the intercorrelation matrix, including degrees of freedom, correlation coefficient, p value, and effect size. Interpret the effect size. Specify whether or not to reject the null hypothesis for this correlation.
Second, report the highest magnitude correlation in the intercorrelation matrix, including degrees of freedom, correlation coefficient, p value, and effect size. Interpret the effect size. Specify whether or not to reject the null hypothesis for this correlation.
Third, report the correlation between gpa and final, including degrees of freedom, correlation coefficient, p value, and effect size. Interpret the effect size. Analyze the correlation in terms of the null hypothesis.
Step 5: Write Section 5 of the DAA.
Discuss the implications of this correlation as it relates to the research question.
Conclude with an analysis of the strengths and limitations of correlational analysis.

• Part 3 t Tests
You will analyze the following variables in the grades.sav data set:
• gender
• gpa
Step 1: Write Section 1 of the DAA.
• Provide the context of the grades.sav data set.
• Include a definition of the specified variables (predictor, outcome) and corresponding scales of measurement.
• Specify the sample size of the data set.
Step 2: Write Section 2 of the DAA.
• Analyze the assumptions of the t test.
• Paste the SPSS histogram output for gpa and discuss your visual interpretations.
• Paste SPSS descriptives output showing skewness and kurtosis values for gpa and interpret them.
• Paste SPSS output for the Shapiro-Wilk test of gpa and interpret it.
• Report the results of the Levene test and interpret it.
• Summarize whether or not the assumptions of the t test are met.
Step 3: Write Section 3 of the DAA.
• Specify a research question related to gender and gpa.
• Articulate the null hypothesis and alternative hypothesis.
• Specify the alpha level.
Step 4: Write Section 4 of the DAA.
• Paste the SPSS output of the t test.
• Report the results of the SPSS output using proper APA guidelines (refer to the Unit 8 Introduction and the “Results” example from the Warner text in Chapter 5). Include the following:
o t.
o Degrees of freedom.
o p value.
o Effect size.
o Interpretation of effect size.
o Means and standard deviations for each group.
o Mean difference.
o 95% confidence interval of the difference of sample means.
• Interpret the results against the null hypothesis.
Step 5: Write Section 5 of the DAA.
• Discuss the implications of this t test as it relates to the research question.
• Conclude with an analysis of the strengths and limitations of the t test.
• Part 4 Journal Article Summary
For this assignment, you will identify a published research article either in the print literature or online in the Capella Library. Your article must be based on empirical (data-based) research; qualitative or purely descriptive research is not appropriate. Select a journal article in your career specialization that reports a correlation, a t test, a one-way ANOVA, or some combination of these test statistics. The library guides listed in the Resources area can help you to locate appropriate articles.
The intent of this assignment is to:
• Expose you to professional literature in your discipline.
• Provide practice in the interpretation of statistical results contained in an empirical (data-based) journal article.
• Provide practice in writing and thinking in a concise and economical manner that is typical of scientific discourse.
You will summarize the article in a maximum of 600 words using the DAA Template located in the Resources area. Specific instructions for completing each section of the DAA Template are listed below.
You may use some of the author’s own words to summarize the article with proper citation, but avoid lengthy direct quotes (such as copying multiple sentences or paragraphs verbatim). You should not exceed the limit of 600 words. This is a situation where less is better.
Step 1: Write Section 1 of the DAA.
• Provide a brief summary of the journal article.
• Include a definition of the specified variables (predictor, outcome) and corresponding scales of measurement (nominal, continuous).
• Specify the sample size of the data set.
• Discuss why the journal article is relevant to your career specialization.
Step 2: Write Section 2 of the DAA.
• Discuss the assumptions of the statistical test used in the journal article.
o If possible, identify information in the article about how these assumptions were tested.
o If no information on assumptions is provided, consider this as a limitation of the reported study.
Step 3: Write Section 3 of the DAA.
• Specify the research question from the journal article.
• Articulate the null hypothesis and alternative hypothesis.
Step 4: Write Section 4 of the DAA.
• Report the results of the statistical test using proper APA guidelines. This includes:
o The statistical notation (such as r, t, or F).
o The degrees of freedom.
o The statistical value of r, t, or F, and the p value.
• Report the effect size and interpretation if one is provided.
• Interpret the test statistic with regard to the null hypothesis.
Step 5: Write Section 5 of the DAA.
• Discuss the conclusions of the statistical test as it relates to the research question.
• Conclude with an analysis of the strengths and limitations of the study reported in the journal article.
• Part 5 One-Way ANOVA
Reminder: The format of this SPSS assignment should be narrative with supporting statistical output (table and graphs) integrated into the text in the appropriate places (not all at the end of the document).
You will analyze the following variables in the grades.sav data set:
• section
• quiz3
Step 1: Write Section 1 of the DAA.
• Provide the context of the grades.sav data set.
• Include a definition of the specified variables (predictor, outcome) and corresponding scales of measurement.
• Specify the sample size of the data set.
Step 2: Write Section 2 of the DAA.
• Analyze the assumptions of the one-way ANOVA.
• Paste the SPSS histogram output for quiz3 and discuss your visual interpretations.
• Paste SPSS descriptives output showing skewness and kurtosis values for quiz3 and interpret them.
• Paste SPSS output for the Shapiro-Wilk test of quiz3 and interpret it.
• Report the results of the Levene test and interpret it.
• Summarize whether or not the assumptions of the one-way ANOVA are met.
Step 3: Write Section 3 of the DAA.
• Specify a research question related to the one-way ANOVA.
• Articulate the null hypothesis and alternative hypothesis.
• Specify the alpha level.
Step 4: Write Section 4 of the DAA.
• Begin by pasting SPSS output of the means plot and providing an interpretation.
• Also report the means and standard deviations of quiz3 for each level of the section variable.
• Next, paste the SPSS ANOVA output and report the results of the F test, including:
o Degrees of freedom.
o F value.
o p value.
o Calculated effect size.
o Interpretation of the effect size.
• Finally, if the omnibus F is significant, provide the SPSS post-hoc (Tukey HSD) output.
o Interpret the post-hoc tests.
Step 5: Write Section 5 of the DAA.
• Discuss the conclusions of the one-way ANOVA as it relates to the research question.
• Conclude with an analysis of the strengths and limitations of one-way ANOVA.

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