# Activities

• • • ##### Subject Area

• Math: Statistics: Inferential Statistics

• ##### Author 9-12

60 Minutes

• ##### Device
• TI-83
• TI-83 Plus Family

TI Connect™

• ##### Accessories

TI Connectivity Cable

• ##### Other Materials
This is Activity 10 from the EXPLORATIONS Book:
Statistics Handbook for the TI-83

• ##### Report an Issue

Analyzing Variance (ANOVA)

#### Activity Overview

Students analyze variances of various data samples.

#### Before the Activity

• TI Connect™, a TI Connectivity Cable, and the Unit-to-Unit Link Cable
• TI-Navigator™  "send to class" feature
• See the attached PDF file for detailed instructions for this activity
• Print pages 107 - 114 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to the class.

Completely Randomized Designs:

• Record the distance of each hit made by a robotic golfer using three different brands of drivers
• Store the data as lists
• Enter the values for mean, standard deviation, and sample size
• Run the ANOVA program
• Determine the p-value
• Evaluate the null hypothesis
• Use the Bonferroni Multiple Comparison Procedure if the null hypothesis is rejected
• Input data using summary statistics or using a matrix
• Observe that the results still show no difference between the means

• Randomized Block Design:
• Record data of distance traveled by three brands of balls, each hit three times by eight golfers
• Store the data as lists
• Enter the values for mean, standard deviation, and sample size
• Run the A1ANOVA program
• Determine the F-value and the p-value
• Evaluate the null hypothesis
• As the null hypothesis is rejected, use the Bonferroni procedure to determine which means differ

• Two-Factor Designs With Equal Replicates:
• Record the data obtained on testing three brands of two clubs using a robotic golfer in a completely randomized design
• Run the A1ANOVA program
• Store the data in a matrix
• Determine the F-value and the p-value
• Calculate the means and set up an xy-plot
• #### After the Activity

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary