EDUR 8132
Educational Statistics II

Notes 9: Analysis of Variance (taken from EDUR 8131)

(1) Summary Presentation

• Presentation 1
  • Readings: Agresti and Finlay 4th and 3rd edition: Chapter 12
  • Document: ANOVA Part 1 Word
  • Document: ANOVA Part 1 PDF
  • Video: ANOVA (37 minutes)

• Presentation 2
  • Document: ANOVA Part 2 Word
  • Document: ANOVA Part 2 PDF
  • Video: ANOVA Part 2 (48 minutes)

(2) Reporting statistical results in APA style (Word Documents so you can copy and paste tables)

•  One-way ANOVA

(3) JASP Software

ANOVA (Summary Presentation Notes 9; here is an excellent video showing how to enter data for ANOVA in JASP: https://www.youtube.com/watch?v=ZbBw4tNPuZU)

(3) Detailed Presentation 

• Read: Notes 9 ANOVA
• Read: Moore et al text chapter 12.
• Supplemental Reading: David Lane's explanation of ANOVA 
  • http://www.davidmlane.com/hyperstat/intro_ANOVA.html
• Critical F Ratio Table: Critical F-ratio
• Watch and Read: Instructional Videos and Related Materials
  • Supplemental Excel File used in videos: Notes 9 Video Excel File   
  • Sections 1 and 2: Purpose and Hypotheses   
  • Section 3: Inflation of Type 1 Error  
  • Section 4: Linear Representation of ANOVA Model  
  • Section 5a: ANOVA Computation -- Logic of F-ratio  
  • Section 5a: ANOVA Computation -- Graphical Illustration of F-ratio 
    • Partition of Variation Illustration 1: Google Docs Distributions 
    • Partition of Variation Illustration 2: F-ratio with Sample Data&  (Rossman/Chance Applet)
    • Partition of Variation Illustration 3: F-ratio with Sample Data  (Monash University; excellent demonstration when functioning)
    • Partition of Variation Illustration 4: F-ratio with Sample Data  (WH Freeman and sumanasinc.com )    
  • Section 5b: ANOVA Computation -- Sums of Squares Total and Between       
  • Section 5b: ANOVA Computation -- Sums of Squares Within  
  • Section 5c: ANOVA Computation -- degrees of freedom
  • Section 5d and 5e: ANOVA Computation -- Estimating Variance; F-ratio and Critical F   
  • Section 6: SPSS both One-way ANOVA and General Linear Model Univariate Commands Illustrated  
  • Section X: Equivalence Among ANOVA, Regression, Correlation, and Independent Samples t-test 
  • Sections 7, 8, and 9: ANOVA and Multiple Comparisons
    • Notes for Sections 7, 8, and 9: ANOVA, Familywise Error Rate, Multiple Comparisons, and APA Style Presentation 
    • Accessing cars data video for ANOVA example (Time = 3:58)
      • Example 1: Cars data used in videos, SPSS version:  http://www.bwgriffin.com/gsu/courses/edur8131/data/cars.sav 
      • (Google Drive SPSS data file: https://drive.google.com/file/d/1LeXylyRMnATmiv_LBs1nrxlwISACxLko/view?usp=drive_link )   
      • Example 1: Cars data used in videos, Excel version: http://www.bwgriffin.com/gsu/courses/edur8131/data/cars.xls    
    • One-way ANOVA Command in SPSS using cars data (Time = 1:00)
    • General Linear Model Univariate ANOVA Command in SPSS using cars data (Time = 5:18)
    • Model Fit - R-squared using One-way ANOVA and General Linear Model Commands in SPSS (Time = 1:03)
    • Multiple Comparisons Overview, Bonferroni Correction, and Calculating Familywise Error Rates (Time = 14:22)
    • Multiple Comparisons with Scheffe Correction (Time = 6:04) 
    • Finding Bonferroni and Scheffe Corrections in SPSS (Time = 8:30) 
    • Example 2a with Newspaper Data - SPSS ANOVA and Bonferroni/Scheffe Multiple Comparisons (Time = 7:37) 
      • Examples 2 and 3: News Paper data, SPSS version: http://www.bwgriffin.com/gsu/courses/edur8131/data/Newspaper_Ad_Inquiries.sav 
      • (Google Drive SPSS data file: https://drive.google.com/file/d/1TF2V2moa9CkGEjEZWZO1Iu5jOT5CsVA5/view?usp=drive_link ) 
      • Examples 2 and 3: News Paper data, Excel version: http://www.bwgriffin.com/gsu/courses/edur8131/data/Newspaper_Ad_Inquiries.xls
    • Example 2b with Newspaper Data - SPSS ANOVA and Bonferroni/Scheffe Multiple Comparisons (Time = 4:56) 
    • APA Style: Reporting ANOVA and Multiple Comparison Results (Time = 7:47) 
    • Finding Bonferroni and Scheffe Comparisons with Excel (Time = 2:26) See link below for Excel Spreadsheet for Bonferroni and Scheffe Calculations.  
      • Excel Spreadsheet: Bonferroni and Scheffe