Download presentation

Presentation is loading. Please wait.

Published byBrooke Salisbury Modified over 5 years ago

1
Two-Factor ANOVA

2
What Do We Mean By Two Factor? This is when we are studying the effect of more than one factor (variable) simultaneously. This is when we are studying the effect of more than one factor (variable) simultaneously. Each factor has a number of levels. Lets say factor A has two levels and factor B has three levels, we would call this a 2x3 ANOVA. Each factor has a number of levels. Lets say factor A has two levels and factor B has three levels, we would call this a 2x3 ANOVA.

3
Main Effects and Interactions The mean difference among the levels of one factor are referred to as the main effect of that factor. The mean difference among the levels of one factor are referred to as the main effect of that factor. An interaction between two factors occurs whenever the mean differences between individual treatment conditions, or cells, are different from what would be predicted from the overall main effects of the factors. An interaction between two factors occurs whenever the mean differences between individual treatment conditions, or cells, are different from what would be predicted from the overall main effects of the factors. When the effect of one factor depends on the different levels of a second factor, then there is an interaction between the factors. When the effect of one factor depends on the different levels of a second factor, then there is an interaction between the factors.

5
Formulae SSw = (X ijk – X. jk ) 2 SSw = (X ijk – X. jk ) 2 SSbet = n jk (X. jk – X...) 2 SSbet = n jk (X. jk – X...) 2 SStot = (X ijk – X...) 2 SStot = (X ijk – X...) 2 SSbet = SSj + SSk + SS jxk SSbet = SSj + SSk + SS jxk SSj = n j. (X. j. – X...) 2 SSj = n j. (X. j. – X...) 2 SSk = n. k (X.. k – X...) 2 SSk = n. k (X.. k – X...) 2 dfw = df dfw = df dfbet = jk – 1 dfbet = jk – 1 dftot = N – 1 dftot = N – 1 dfj = j-1 dfj = j-1 dfk = k-1 dfk = k-1

Similar presentations

OK

Intro to Statistics for the Behavioral Sciences PSYC 1900

Intro to Statistics for the Behavioral Sciences PSYC 1900

© 2019 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google