EDL 7150
Inferential Statistics

Course Calendar and Assignments 
Summer 2012.
(Click Here for the current assignment)

Prior to the first class Meeting

You should compete the following before we meet on May 24:

Install the Excel Data Analysis Tool Pack.

Peruse this website: Become familiar with the content of the various pages and sections.

 

Session 1 (Week of May 20)

F2F Session on May 24

Class activity:

Overview of the course, review of the syllabus.

Introduction to the online statistics textbooks: HyperStat Online, Research Methods Knowledge Base, Stat Trek.

Respond to the Competency Pre-assessment. You will be given a similar assessment at the end of the second week of class.

Introductory PowerPoint presentation.

Trying out the Excel Data Analysis ToolPac

Before the next session, complete the following:

Download my short paper on Summation Operators and complete (to be turned in the next time we meet) the exercises at the end of the paper.  

In HyperStat Online:  

Read Chapters 1, 2,  and 3 (Attempt the exercises given at the end of the chapters). In chapter 3, pay particular attention to Subsection5 (Effect of restricted range on Pearsonís Correlation). Note that restricting the range (variance) in one or both variables involved in a correlation decreases the correlation.  

In Chapter 3, Subsection 3 (Computational formula), Click (and tryout) Computing Pearsonís r in Excel.  

Also, in Chapter 3, Subsection 5, tryout the interactive demonstrations of the effect of restriction of range.  

In the Research Methods Knowledge Base (RMKB):  

Read the chapter on Foundations. Give careful consideration to the section on Unit of Analysis: Foundations > Language of Research > Unit of Analysis. Also, read the short paper from the What Works Clearinghouse: Unit of Assignment and Unit of Analysis.

Session 2 (Week of May 27)

F2F Session on May 31

Class activity:

Questions, Answers, Explanations

Answers to Pre-Assessment

Introduction to Probability and Probability Distributions (next week's assignments.)

Before the next session, complete the following:

Read my Paper on Probability and Probability Distributions.

In HyperStat Online:  

Read Chapter 4 (Intro to Probability) and Chapter 5 (Normal Distributions). Attempt the exercises given at the end of the chapters.  

In Chapter 4, in the Subsection on the Binominal distribution, take the Free Tutorial on Using Excelís Binomial Function.  

In Chapter 5, Subsection 4 (Converting to Percentiles) tryout the z-calculator.  

Also, in Chapter 5, Subsection 5 (Area Under a Portion of the Normal Curve), check out, and try using, the z table.

 

Session 3

Week of
June 3
ONLINE

Sampling, Sampling Distributions, and Standard Errors

By the end of this week, complete the following:

Out of Class Problem: Solve the probability problem given HERE.

In RMKB, read the chapter on Sampling

In the subsection on External Validity make sure you are comfortable with you understanding of generalizability, especially the sampling model approach to generalizability.  

Make sure you are comfortable with the terms introduced in the subsections on Sampling Terminology and Statistical Terms in Sampling.

In HyperStat Online, read subsections 1-6.

In Stat Trek, under Tutorial > Statistics and Probability, read the whole section on Descriptive Statistics, and browse through the section on Probability, paying careful attention to the subsections on Random Variables and Sampling Theory (especially the parts dealing with Variability, Sampling distributions, Diff between props, Diff between means.

 

Session 4

Week of June 10
ONLINE

Measurement

By the end of this week, complete the following:

Complete Problem Set 1 (Answer Sheet for recording your answers)

In RMKB, read the chapter on Measurement. This is a long chapter, but, since measurement is one of the basic tools of research and statistics, the chapter is critically important.

The subsection on Construct Validity discusses several types of validity, threats to validity, and various approaches for establishing validity.

The subsections on Reliability, and Levels of Measurement, also, are critically important.

The article, Procedures for estimating internal consistency reliability, prepared by the Iowa Technical Adequacy Project (ITAP) describes Coefficient Alpha and how to compute it. The article also shows how to use Excel to compute Coefficient Alpha.

I once used a Motivations for Reading instrument to measure elementary school students interest in reading. The instrument can be found HERE, and an Excel file containing the responses, HERE.

Use the guidelines given in the Procedures article to compute the alpha-reliability of my administration of the Motivations for Reading instrument.

Since many of you may want to use a survey in your dissertation research, you should read the subsection on Survey Research.

There are many types of surveys that can be used to measure human attributes. Three of these, discussed, are Likert scaling, Thurston scaling, and Guttman scaling. Be aware of the relative advantages and disadvantages of each, and know how they are constructed.

 

Session 5

Week of June 17 
ONLINE

 

Hypothesis Testing

By the end of this week, complete the following:

In  HyperStat Online, read the chapters on Estimation and Hypothesis Testing.

In the chapter on Estimation, make sure you have a firm grasp of the concept of a standard error and margin of error.

Know how to compute the variance and standard error of the mean and a confidence interval around a mean.

In the chapter on Hypothesis Testing: pay close attention to the section on Foundations of Testing. Kknow how to test whether a sample mean is equal to some predetermined value, and test the difference between independent means and dependent (paired) means.

You may find the discussion found at the following links particularly useful in understanding this chapter. 

HYPOTHESIS TESTING,

ONE AND TWO-TAILED t-TESTS,

ERRORS IN HYPOTHESIS TESTING and

Testing Hypotheses About Single Means

Also, in the Chapter on Hypothesis Testing, understand and know how to compute the power of a statistical test.

Finally, in this chapter, be able to differentiate among situations where a chi-square test is appropriate for testing goodness of fit, homogeneity, and independence.

Session 6 (Week of June 24)

F2F Session on June 28

 

Class activity:

Questions, Answers, Explanations

Testing Hypotheses of Differences

Tests for comparing two independent samples

Student t Test for Independent Samples

Mann-Whitney U Test

Wilcoxon Independent Samples Test

Tests for comparing two dependent samples

Student t test for dependent samples

Use the Sign Test to perform a non-parametric solution to the t test scenario given in the previous example. Again, try programming the test in Excel.

McNemar's Test for Matched Pairs

Wilcoxon matched pairs signed ranks test

Several of the test listed above are nonparametric of distribution free statistical tests. If you are interested in learning more about nonparametric statistical tests, there is a link under Instructional Stuff for Statistics (also found in the Table of Contents, at left).

Before the next session, complete the following:

Introduction to ANOVA

Read my Introduction to Factorial ANOVA and my brief paper on Portioning Sums of Squares in ANOVA

 

 

Session 7

Week of July 1 ONLINE

Analysis of Variance

By the end of this week, complete the following:

Complete Problem Set 2.

Read Chapters 12 & 13 in HyperStat Online.

 

Session 8 (Week of July 8)

F2F Session on July 12

Correlation and Regression analysis

Before we meet on Thursday, July 12:

Read chapter 15 in HyperStat Online.

Class activity:

Questions, Answers, Explanations

Correlation

Pearson Product Moment Correlation (rxy).

Spearman Rho (ρ ) Correlation.

Between-subjects Analysis of Variance

Regression Analysis

Prediction
Explanation

Before the next session, complete the following:

By the end of this week, complete the following:

Read chapter 15 in HyperStat Online.

Read my Introduction to Linear Regression and my paper on Partitioning Sums of Squares in Simple Linear Regression. (Note these are revisions of the papers available last week)

In addition, since we will be using matrix algebra next week, download and read my Introduction to Matrix Algebra. Pay particular attention to the matrix operations involving multiplication.

 

Session 9

Week of July 15 F2F (Late)

Multiple Linear Regression

More on Prediction and Regression Analysis

By the end of this week, complete the following:

Complete Problem Set 3.

Session 10 (Week of July 22)

Online

Class activity:

Questions, Answers, Explanations

Before the next session, complete the following:

Work on the Final Exam

 

Session 11  (Week of July 29)

F2F on August 2

Class activity:

Questions, Answers, Explanations

More Complex Models I

Path analysis

Regression discontinuity

Multi-level modeling.