An Introduction to Statistics in Linguistics (9):How to Analyze Crosstabulation Tables (Part 3)

Ogino Tsunao

doi:10.24701/mathling.34.1_36

This paper presents several application examples of reciprocal averaging on cross-tabulation analysis. First, examples of applying reciprocal averaging to extended cross-tab are discussed. Reciprocal averaging can be applied not only in a case where a hypothesis has been formulated and data are collected by questionnaire to confirm the hypothesis but also as a means of exploratory data analysis in a case without a specific hypothesis. It can also be applied to a type of questionnaire asking for scale points. Even for those with no scales in the answer section, the extended cross-tab obtained with its application would look easier to understand; several examples are given in this section to demonstrate. Next, reciprocal averaging application examples to past research are discussed to confirm how the application would make the results more understandable. Examples include a case of oversight found in the paper's description, a case of dealing with something not included in the paper's analysis subjects, a case of improving result presentation by modifying graphic charts initially organized by the author, and other relevant cases. Lastly, examples to demonstrate that applying reciprocal averaging would be meaningless in the specific type of cross-tabs are given to make the point that reciprocal averaging is not a universal tool enabling analysis of any kind of cross-tabs.

An Introduction to Statistics in Linguistics (9):How to Analyze Crosstabulation Tables (Part 3)

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