investigate whether distributions of categorical variables are different from one another, and to conclude if there is an important relationship between the two nominal variables.

Dr. Bill Board designs a 2 X 2 between-subjects factorial design, where Factor A is word frequency (low or high) and Factor B is category cues (no cues or cues). Assume that the data are interval. What type of statistic is needed to analyze the data?

Response 1:

A factorial design is the design that make us know the interaction of factor A* factorB. We can draw the tree as followings;

FactorA: Alow and Ahigh

FactorB: Bno cue and Bcue

Alow ————-Bno cue———–Alow Bno cue

Bcue—————Alow Bcue

Ahigh————Bno cue———–Ahigh Bno cue

Bcue—————Ahigh Bcue

I think we should use two-factor F-test to Analyze. Before we anaylze, we utilize the normality distribution, the Independence between observations and groups and the population variances are equal across factors.

Statistics how to. (2020). ANOVA Test: Definition, Types, Example. Retrieved

from https://www.statisticshowto.datasciencecentral.com/probability-and-statistics/hypothesis-

testing/anova/#FactorialA

Witte, J. & Witte, R. (2017). Statistics (11ed.). Hoboken, NJ: John Wiley & Sons. Retrieved

from https://viewer.gcu.edu/fEk4rR

Response 2:

Topic 8 DQ 2

Denise Hernandez

Chi square statistics to investigate whether distributions of categorical variables are different from one another, and to conclude if there is an important relationship between the two nominal variables. Therefore Chi square is the best test to study the relationship of independence.

References

Witte, R. & Witte, S. (2017). Statistics (11th ed.). Wiley. ISBN-13: 9781119254515

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