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#### • 2 x 3 flag

Question:

Answers:a 2x3 ANOVA has two factors one with 2 levels and one has 3 levels a 1x6 would mean that one factor only has one level which doesn't make sense because then it isnt a variable

Question:I have a design and analysis exam for my UG this wednesday but I have never got clarification over what is the correct way of writing the answer to the questions. For instance: 2 unrelated (therapy) and 3 related (time)... This is a two-way between-within repeated measures ANOVA? is this 2 x 3? ir 3 x 2? 3 unrelated (drug) and 2 related (time)... Is this a two-way between-within repeated measures ANOVA? is this 3 x 2? or 2 x 3? what order is the most correct of reporting? Is there a difference? many thanks!

Answers:the first one is a 2x3 mixed ANOVA (because the first factor has two levels and is between-subjects, and the second factor has three levels and is within-subjects) This is a two-way ANOVA but you should always be more specific by saying 2 x 2 The second one is another mixed ANOVA but this time you say it is a 3x2 mixed ANOVA (because the first factor has three levels and is between subjects and the second factor has three levels and is a between subjects design) It doesn't really matter which way round you put it though. "2x3 Mixed ANOVA" and "3x2 Mixed ANOVA" are basically saying the same thing - that there are two factors, one with 2 levels and one with 3 levels. One of these factors is a bewteen-subjects design, and one is within

Question:1.)In an A, B, and A x B 2-Factor ANOVA, how do I formulate a null hypothesis for the interaction effect? I know how to formulate an Ho for the main effects (using equal means) but don't know how to do this for an interaction. 2.) What are the numerator and denominator degrees of freedom for the critical F value for the interaction?

Answers:There are three sets of hypotheses with the two-way ANOVA: Ho1: There is no main effect for factor A. H11: There is a main effect for factor A. Ho2: There is no main effect for factor B. H12: There is a main effect for factor B. Ho3: There is no interaction effect. H13: There is an interaction effect. For a two-way ANOVA, the formulas for calculating various degrees of freedom are given below. dfTOT = nT - 1 dfBG = # of groups -1 dfWG = dfTOT - dfBG dfA = # of levels of A -1 dfB = # of levels of B - 1 dfAB (interaction) = dfA * dfB

Question:I have to pick a test to test for differences among means. I have to use gender (2 level) and 3 test scores that each subject took. Is this a 2 x 3 ANOVA? If not, what is it? How do I put it into SPSS and interpret the data?

Answers:I hope I understand you correctly: You want to see whether there is a different based on gender on these 3 test scores, is that correct? If this is the case, the appropriate test to run is a t-test for each of these test scores based on gender. You would run a two-way ANOVA if you wanted to figure out whether there is an interaction between test type and gender on the final scores. I hope that helps you out a bit.