Abstract

In this study, the goal was to apply a flexible and easy-to-manage analysis method through a model that includes a dispersion parameter in the longitudinal analysis method of count data. In the analysis of count data, it may be inconvenient to change the statistical model depending on whether there is under- or over-dispersion. To compensate for these weaknesses, We have applied a statistical method including a dispersion parameter to the statistical model. The count data covered were included in the diagnosis of fluency disorders and the evaluation of the effectiveness of speech therapy. but research on speech-language therapy is limited by being conducted on small numbers of subjects for several reasons. Therefore, statistical analysis methods that work only on large samples, are complex, or require excessive calculations in the model fitting process were not appropriate for the field. With this background, we applied the Conway-Maxwell Poisson model to longitudinal data analysis of fluency disorders. We evaluated whether the model that reflects the level of data dispersion in the model was consistent with the speech therapy data for fluency disorders by comparing it to the existing Poisson mixed model and linear mixed model. In particular, the Conway-Maxwell Poisson model had the advantage of reflecting well when the degree of dispersion was different for each group or specific subgroup.

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