T8 D2

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School

Grand Canyon University *

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Course

520

Subject

Statistics

Date

Feb 20, 2024

Type

docx

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1

Uploaded by mariannevilayphone

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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? In the given situation, there are two variables: Factor A and Factor B. These variables are considered categorical variables as Factor A has two categories which are ‘Low and High’ and Factor B also has two categories which are ‘No cues and cues.’ The Chi-square test would be the best to analyze categorical variables (Witte & Witte, 2016). However, the Chi-square test isn’t appropriate for the continuous data, in the situation it is mentioned that the data is for an interval type (Witte & Witte, 2016). To make this appropriate for the Chi-square test, the full data set in the categories shall be arranged to ‘Yes or No.’ Making the data into a 2x2 contingency table, the values in the tables should present the percentages using the for chi-square test statistic. In all, the chi-square statistic would be best to analyze this 2x2 between subject factorial design as the data are on the interval scale (Witte & Witte, 2016). Reference: Witte, R. S., & Witte, J. S. (2016). Statistics (11th ed.). Wiley.
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