Statistical Analysis of Educational Factors Affecting Student Performance: A Case Study Approach

Page 1 of 4

Statistical Analysis of Educational Factors Affecting Student Performance: A Case Study Approach - Page 1 preview image

Statistical Analysis of Educational Factors Affecting StudentPerformance: A Case Study ApproachHow do various educational factors influence student performance, andwhat statistical methods can be used to analyze these factors? (Wordcount: 800-1000 words)

Page 2 of 4

Statistical Analysis of Educational Factors Affecting Student Performance: A Case Study Approach - Page 2 preview image

Page 3 of 4

Statistical Analysis of Educational Factors Affecting Student Performance: A Case Study Approach - Page 3 preview image

Case Study 1:An educational statistics professor is examining his grade book todetermine the relationship and differences among a variety ofassignment scores. He is examining these scores to determine if hiscourse is effective. Every semester, the professor gives his students apretest and a posttest to determine if they improved in theirunderstanding of the course concepts. Thus, the first question heexamines is as follows: Is there a difference in the number of pointsstudents earned on their educational statistics pretests and posttests?Here the null hypothesis is𝐻௢:There is nodifference in the number ofpoints students earned on their educational statistics pre-tests and post-tests.vs the alternative hypothesis𝐻ଵ:There is difference in the number ofpoints students earned on their educational statistics pre-tests and post-tests.The main assumptions are as follows:1)The number of points earned by the students in the pre-test(𝑋ଵ,𝑋ଶ,…,𝑋௡)and that in the post-test i.i.d (𝑌ଵ,𝑌ଶ,…,𝑌௡), where nis the sample size, when paired {(𝑋ଵ,𝑌ଵ),(𝑋ଶ,𝑌ଶ),…,(𝑋௡,𝑌௡)}followBivariate Normal Distribution with mean (𝜇ଵ,𝜇ଶ)and variancecovariance matrixΣ.2)The sample must consist of 2 related groups, here they are thescores of the pre-testprior to the course and a post-test after thecourse.3)There are no significant outliers in the differences between thetwo related groups.Thus in this case𝐻௢:𝜇ଵ=𝜇ଶvs𝐻ଵ:𝜇ଵ≠𝜇ଶThe test used is a paired sample t-test.Let𝑑௜=𝑋௜−𝑌௜Then𝑑̅=𝑋ത−𝑌ത~ N (0,𝜎ଶ)where𝜎ଶcan be derived fromΣ.

Page 4 of 4

Statistical Analysis of Educational Factors Affecting Student Performance: A Case Study Approach - Page 4 preview image

Let S=∑(𝑑೔−𝑑ത)మ೙೔=భ௡−ଵThus under null ,𝑑തೄ√೙follows t distribution with n-1 degrees offreedom.We reject null at 0.05 level of significance if the value of|𝑑തೄ√೙|>𝑡(௡−ଵ),0.0ఱమIn this case,The following output wasreceived from SPSS:T-TESTPAIRS=postestWITHpretest(PAIRED)/CRITERIA=CI(.9500)/MISSING=ANALYSIS.T-TestNotesOutput Created07-Mar-2013 02:18:56CommentsInputDataC:\Users\Abhishek\Downloads\zFinal (3).savActive DatasetDataSet1Filter<none>Weight<none>Split File<none>N of Rows inWorking Data File105Missing ValueHandlingDefinition of MissingUser defined missing valuesare treated as missing.

Preview Mode

This document has 11 pages. Sign in to access the full document!

Report

Learning Tools

Writing Tools

Browse Resources

Statistical Analysis of Educational Factors Affecting Student Performance: A Case Study Approach - Page 1

Study Now!

Document Details

Related Documents

Needs Assessment Data Presentation

Healthcare Analytics

Professional Development Plan

Outcome Assessment 5 Project Requirements

Developmentally Appropriate Teaching Strategies

Assessment of The Nature of Cheating by Business Students at Rocky University

Debating the Impact of Item Analysis on Test Reliability and Validity

Analyzing Student Perceptions of History: The Impact of Education and Musician Status

Statistical Comparison of Reading Comprehension Test Scores: Private vs. Public School Eighth-Graders

Integrating Technology and Pedagogy: A TPACK-Based Lesson Plan for Early Literacy Development

Company

Explore

Study Tools