ANOVA for Regression – Apply It 1

  • Understand what is measured by SSRegression, SSResiduals, and SSTotal in a regression context
  • Discuss the factors that affect the value of F-statistics in a regression context

Memory Game

Concentration is a memory game in which cards are laid face down on a table, and two cards are flipped face up during each turn. The object of the game is to turn over matching pairs of cards. An online version of this game includes three different sets of cards: one has images of animals on the cards, one has images of babies, and one has images of holiday scenes.

Question! Are these three versions equally difficult?

To investigate, a teacher randomly assigned her students to three groups, and each group played a different version of the game. They recorded the amount of time (in seconds) it took to complete the game.

Below is the partially filled-in ANOVA table.

Source Df Sum sq
Group 2 177.4
Error 27 5715.0
Total 29 5892.4

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