D52 measure strength of the relationship because

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D5.2: Measure Strength of the Relationship. Because ‘father’s education revised’ and ‘mother’s education revised’ are at least ordinal data, which of the statistics used in Problem 8.3 is the most appropriate to measure the strength of the relationship; phi, Cramer’s V, or Kendall’s tau-b? Explain your choice. In order to measure the strength of relationship between father’s and mother’s education revised, a cross tabulation was performed. Note that if the variables in the study are ordered (ordinal), use Kendall’s tau-b. The primary assumption of Kendall’s tau is that data must be ordinal. In order to interpret the relationship between father’s educations and mother’s education, Kendall’s tau-b was conducted. The analysis reported a statistically significant association between the variables, (71) = 0.572, p < 0.001. In other words, more highly educated fathers got married to highly educated mother’s and less educated fathers got married to less educated mother’s (Morgan et al., 2013).
3 Why are the Kendall’s tau-b and Cramer’s V different? When data in the variable are measured at nominal level of measurement, use Crammer’s V and for ordinal data, use Kendall’s tau to measure the strength of association between the variables.
References Morgan, G., Leech, N., Gloeckner, G., Barrett, K. (2013). IBM SPSS for Introductory Statistics (5th Ed.). New York, NY

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