Toggle DrawerOverviewFor this three-part assessment, you will create and interpret histograms and compute descriptive statistics for given variables; analyze the goals of data screening; and generate z scores for variables, analyze types of error, and analyze cases to either reject or not reject a null hypothesis. You will use SPSS software and several Capella course files to complete this assessment.

A solid understanding of descriptive statistics is foundational to grasping the concepts presented in inferential statistics. This assessment measures your understanding of key elements of descriptive statistics.

SHOW LESSBy successfully completing this assessment, you will demonstrate your proficiency in the following course competencies and assessment criteria:

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Competency 1: Analyze the computation, application, strengths, and limitations of various statistical tests.

Analyze the strengths and limitations of examining a distribution of scores with a histogram.

Analyze the relevant data from the computation, interpretation, and application of z-scores.

Analyze real-world application of Type I and Type II errors and the research decisions that influence the relative risk of each.

Competency 2: Analyze the decision-making process of data analysis.

Analyze meaningful versus meaningless variables reported in descriptive statistics.

Apply the logic of null hypothesis testing to cases.

Competency 4: Interpret the results of statistical analyses.

Interpret histogram results, including concepts of skew, kurtosis, outliers, symmetry, and modality.

Interpret descriptive statistics for meaningful variables.

Competency 5: Apply a statistical program’s procedure to data.

Apply the appropriate SPSS procedures for creating histograms to generate relevant output.

Apply the appropriate SPSS procedure for generating descriptive statistics to generate relevant output.

Apply the appropriate SPSS procedures for creating z-scores and descriptive statistics to generate relevant output.

Competency 7: Communicate in a manner that is scholarly, professional, and consistent with expectations for members of the identified field of study.

Communicate in a manner that is scholarly, professional, and consistent with expectations for members of the identified field of study.

Competency Map

CHECK YOUR PROGRESSUse this online tool to track your performance and progress through your course.

Toggle DrawerContextRead Assessment 1 Context [DOC] for important information on the following topics:

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The standard normal distribution and z scores.

Hypothesis testing.

Null and alternative hypotheses.

Type I and Type II errors.

Probability values and the null hypothesis.

Toggle DrawerQuestions to ConsiderAs you prepare to complete this assessment, you may want to think about other related issues to deepen your understanding or broaden your viewpoint. You are encouraged to consider the questions below and discuss them with a fellow learner, a work associate, an interested friend, or a member of your professional community. Note that these questions are for your own development and exploration and do not need to be completed or submitted as part of your assessment.

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What is a null hypothesis?

What is an alternative hypothesis?

How do you articulate a null hypothesis and an alternative hypothesis for a research study?

Toggle DrawerResourcesAPA Resources

Because this is a psychology course, you need to format this assessment according to APA guidelines. Additional resources about APA can be found in the Research Resources in the courseroom navigation menu. Use the resources to guide your work.

American Psychological Association. (2010). Publication manual of the American Psychological Association (6th ed.). Washington, DC: Author.

This resource is available from the Capella University Bookstore.

Required Resources

The following resources are required to complete the assessment.

SPSS Software

The following statistical analysis software is required to complete your assessments in this course:

IBM SPSS Statistics Standard or Premium GradPack (recent version for Windows or Mac).

As a Capella learner, you have access to the more robust IBM SPSS Statistics Premium GradPack arranged at an academic discount through a contracted vendor.

Please refer to the Statistical Software page on Campus for general information on SPSS software, including the most recent version made available to Capella learners.

Data Set Instructions

Data Set Instructions [DOCX].

These instructions explain how to access the data needed for this assessment.

grades.sav.

This file contains the data set used with SPSS to complete the assessment.

Assessment Template and Output Instructions

Copy/Export Output Instructions [DOCX].

This document provides instructions for extracting output from SPSS. You will insert your output into the assessment answer template as indicated.

z Scores, Type I and Type II Error, Null Hypothesis Testing Answer Template [DOCX].

Use this template to complete your assessment.

SHOW LESSSuggested Resources

The resources provided here are optional and support the assessment. They provide helpful information about the topics. You may use other resources of your choice to prepare for this assessment; however, you will need to ensure that they are appropriate, credible, and valid. The XX-FP7864 – Quantitative Design and Analysis Library Guide can help direct your research, and the Supplemental Resources and Research Resources, both linked from the courseroom navigation menu, provide additional resources to help support you.

Statistics Concepts and Terminology

Assessment 1 Context [DOC].

Read this resource for information about the statistical terminology and concepts needed to complete this assessment.

SPSS Software

IBM SPSS Step-by-Step Guide: Histograms and Descriptive Statistics [DOCX].

This course file provides an illustrated, step-by-step guide to creating histograms and descriptive statistics using SPSS.

In your IBM SPSS Statistics Step by Step library e-book:

The following chapters provide information about creating histograms using SPSS software.

Chapter 1, “An Overview of IBM SPSS Statistics.”

Chapter 2a, “IBM SPSS Statistics Processes for PC.”

Chapter 2b, “IBM SPSS Statistics Processes for Mac.”

Chapter 3, “Creating and Editing a Data File.”

Chapter 4, “Managing Data.”

Chapter 6, “Frequencies.”

This chapter provides information about creating descriptive statistics using SPSS software.

Chapter 7, “Descriptive Statistics,” all pages.

Histograms

The following resources provide information about how to create and interpret histograms.

Lane, D. M. (2013). HyperStat online: An introductory statistics textbook and online tutorial for help in statistics courses. Retrieved from http://davidmlane.com/hyperstat

Introduction to Statistics.

Describing Univariate Data.

StatSoft, Inc. (2013). Electronic statistics textbook. Tulsa, OK: StatSoft. Retrieved from http://www.statsoft.com/textbook

Review the following parts of the Elementary Statistics section to learn about the normal distribution:

Why the normal distribution is important.

Illustration of how the normal distribution is used in statistical reasoning (induction).

Skillsoft. (2017). Descriptive statistics and graphical methods [Video].

In this section of Using Basic Statistics and Graphical Methods in Six Sigma, watch the sections on histograms and normal probability plots.

Descriptive Statistics

These resources provide information on creating and interpreting descriptive statistics.

StatSoft, Inc. (2013). Electronic statistics textbook. Tulsa, OK: StatSoft. Retrieved from http://www.statsoft.com/textbook

Review the following parts of the Elementary Statistics section of the book:

What are variables?

Measurement Scales.

Proceed to the section Basic Statistics and review the subtopics under Descriptive Statistics.

Crabtree, R. (2018). Basic six sigma statistics [Video]. Skillsoft.

Open the table of contents and click the segment Measures of Central Tendency. The video segments explain calculating and interpreting these statistics.

Running time: 23 minutes.

Z Scores

z score table. Retrieved from http://www.z-table.com/

This table provides the information needed to answer questions 5 and 6 of the assessment.

Skillsoft. (n.d.). Basic probability and statistical distributions in six sigma [Video].

Navigate to this course’s table of contents, choose “Statistical Distributions,” and watch the Probability Distributions and Normal Distribution videos.

Running time: 7 minutes.

Type I and Type II Errors

Skillsoft. (2017). Key concepts in hypothesis testing [Video].

In this section of Basics of Hypothesis Testing and Tests for Means in Six Sigma, watch the segment “Hypothesis Testing Terminology” for information about Type I and Type II errors.

Running time: 23 minutes.

Null Hypothesis

Lane, D. M. (2013). HyperStat online: An introductory statistics textbook and online tutorial for help in statistics courses. Retrieved from http://davidmlane.com/hyperstat

The Logic of Hypothesis Testing.

This section explains hypothesis testing and details the meaning of Type I and Type II errors.

StatSoft, Inc. (2013). Electronic statistics textbook. Tulsa, OK: StatSoft. Retrieved from http://www.statsoft.com/textbook

Review these two parts of the Elementary Concepts section, which explain statistical significance:

What is “statistical significance” (p value)?

How to determine that a result is “really” significant.

Skillsoft. (n.d.). Introduction to hypothesis testing and tests for means in six sigma [Video].

?Navigate to the “Key Concepts in Hypothesis Testing” section of the course.

Running time: 19 minutes.

Program-Specific Resources

These programs have opted to provide program-specific content designed to help you better understand how the subject matter is incorporated into your particular field of study.

School of Psychology Learners

Harraway, J. A., & Barker, R. J. (2005). Statistics in the workplace: A survey of use by recent graduates with higher degrees. Statistics Education Research Journal, 4(2), 43–58.

School of Education Learners

Young, J. R., Young, J. L., & Hamilton, C. (2014). The use of confidence intervals as a meta-analytic lens to summarize the effects of teacher education technology courses on preservice teacher TPACK. Journal of Research on Technology in Education, 46(2), 149–172.

Harrison, J., Thompson, B., & Vannest, K. J. (2009). Interpreting the evidence for effective interventions to increase the academic performance of students with ADHD: Relevance of the statistical significance controversy. Review of Educational Research, 79(2), 740–775.

Additional Resources for Further Exploration

Khan Academy. (2013). Retrieved from https://www.khanacademy.org

This website offers resources covering a range of subjects, including statistics.

Assessment InstructionsPreparation

This assessment has three parts, each of which is described below. Submit all three parts as Word documents.

Note: All the course documents you will need for the assessment are linked in the Resources section.

Read Assessment 1 Context to learn about the concepts used in this assessment.

This assessment uses the grades.sav file, found in the Resources for this assessment.

The fictional data in the grades.sav file represent a teacher’s recording of student demographics and performance on quizzes and a final exam across three sections of the course. Each section consists of about 35 students (N = 105).

There are 21 variables in grades.sav. To prepare for this assessment, complete the following:

Open your grades.sav file and navigate to the “Variable View” tab.

Read the Data Set Instructions, and make sure you have the correct Values and Scales of Measurement assigned.

Part 1: Histograms and Descriptive Statistics

Your first IBM SSPS assessment includes two sections:

Create two histograms and provide interpretations.

Calculate measures of central tendency and dispersion and provide interpretations.

Key Details and Instructions

Submit your assessment as an attached Word document.

Begin your assessment by creating a properly formatted APA title page. Include a reference list at the end of the document if necessary. On page 2, begin Section 1.

Organize the narrative report with your SPSS output charts and tables integrated along with your responses to the specific requirements listed for that assessment. (See the Copy/Export Output Instructions in the Resources for instructions on how to do this.)

Label all tables and graphs in a manner consistent with APA style and formatting guidelines. Citations, if needed, should be included in the text as well as a reference section at the end of the report.

For additional help in completing this assessment, refer to IBM SPSS Step-By-Step Instructions: Histograms and Descriptive Statistics, linked in the Resources.

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.

Create two histograms using the total and gender variables in your grades.sav data set:

A histogram for male students.

A histogram for female students.

Below the histograms, 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.

Below the Descriptives table, complete the following:

Indicate which variable or variables are meaningless to interpret in terms of mean, standard deviation, skewness, and kurtosis. Justify your decision.

Next, indicate which variable or variables are meaningful to interpret. Justify your decision. For meaningful variables, 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: Data Screening

For this part of the assessment, respond to the following questions:

What are the goals of data screening? How can you identify and remedy the following?

Errors in data entry.

Outliers.

Missing data.

Part 3: z Scores, Type I and II Error, Null Hypothesis Testing

This IBM SPSS assessment includes three sections:

Generate z scores for a variable in grades.sav and report/interpret them.

Analyze cases of Type I and Type II error.

Analyze cases to either reject or not reject a null hypothesis.

The format of this assessment should be narrative with supporting statistical output (table and graphs) integrated into the narrative in the appropriate place (not all at the end of the document). See the Copy/Export Output Instructions for instructions on how to do this.

Download the z Scores, Type I and Type II Error, Null Hypothesis Testing Answer Template from the Required Resources, and use the template to complete the following sections:

Section 1: z Scores in SPSS.

Section 2: Case Studies of Type I and Type II Error.

Section 3: Case Studies of Null Hypothesis Testing.

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