Approximating the Tetrachoric Correlation Coefficient

Digby, P. G. N.

doi:10.2307/2531104

Cited by 85 publications

(55 citation statements)

References 8 publications

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“…The popular gamma coefficient (Reynolds 1977) reduces to Yule's Q in 2 × 2 tables. Digby (1983) defines a function of the odds ratio, his H coefficient, which approximates the tetrachoric correlation. The tetrachoric correlation is a Pearson correlation between two bivariate normal variables that have been measured on a dichotomous scale (Pearson 1900).…”

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confidence: 99%

Statistical Inference for Generalized Yule Coefficients in 2 × 2 Contingency Tables

Bonett

Price

2007

Sociological Methods & Research

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The odds ratio is one of the most widely used measures of association for 2 × 2 tables. A generalized Yule coefficient transforms the odds ratio into a correlation-like scale with a range from -1 to 1. Yule's Y, Yule's Q, Digby's H, and a new coefficient are special cases of a generalized Yule coefficient. The new coefficient is shown to be similar in value to the phi coefficient. A confidence interval and sample size formula for a generalized Yule coefficient are proposed. The proposed confidence interval is shown to perform much better than the Wald intervals that are implemented in statistical packages. ata in the form of a 2 × 2 contingency table are common in the social sciences, and many different measures of association for 2 × 2 tables are available (Bishop, Fienberg, and Holland 1975;Reynolds 1977). The phi coefficient is a popular measure of association for 2 × 2 tables and obtains values in the range from -1 to 1 with a value of 0 indicating independence. The phi coefficient is a product-moment correlation between two dichotomous variables. Although the phi coefficient has a clear interpretation, the Wald confidence interval for phi that is used in popular statistical packages can have a coverage probability that is far below the nominal level. The odds ratio is another widely used measure of association for 2 × 2 tables. Unlike the phi coefficient, inferential methods for the odds ratio have excellent small-sample properties, and an exact confidence interval for the odds ratio is available. Edwards (1963) argues that the odds ratio (or a function of the odds ratio) is the only appropriate measure of

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confidence: 99%

Statistical Inference for Generalized Yule Coefficients in 2 × 2 Contingency Tables

Bonett

Price

2007

Sociological Methods & Research

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“…This coefficient was used to establish the relationship between the two variables because they were artificially binary variables (Digby, 1983). Confidence level and level of significance were set at 95 percent and .05 percent, respectively.…”

Section: Methodsmentioning

confidence: 99%

Relationship between career aspirations and study behaviours among second year distance learners of the University of Cape Coast, Ghana

Arhin¹

2018

Afr Educ Res J

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The purpose of the study was to examine the relationship between career aspirations and study behaviours among distance learners of the University of Cape Coast (Ghana) who performed poorly during their first year of study. The correlation research design that employed the explanatory sequential mixed methods approach was adopted for the study. Specifically, three hundred and sixty eight (368) participants were purposively selected, out of which 357 were used for analysis. Social Cognitive Career Theory as postulated by Lent et al. (1994) formed the study's theoretical framework. Data analysis was done using the descriptive statistics and tetrachoric correlation coefficient as well as the Merriam process of analytical coding. The results of the quantitative analysis revealed that the majority of participants had positive career aspirations as well as good study behaviours. However, the correlation coefficient was r(355) = .273, p = .01, meaning the correlation between the two variables was statistically significant but weak. The study recommends that, in order to help boost students' academic performance, management of the College of Distance Education of the University of Cape Coast should organise periodic career guidance seminars for students, to stimulate their career awareness and nurture their enthusiasm.

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“…It should be noted that nine among the 11 participation modalities (online/offline) 9 , which are transformed into participation measures empirically tested in this study, present a dichotomous variation (yes/no) depending on the respondents' answer. Thus, the factors were extracted from a matrix of tetrachoric correlation, a method indicated for such cases (DIGBY, 1983).…”

Section: Research and Methodsmentioning

confidence: 99%

Participação política online e offline nas eleições presidenciais de 2014 em Salvador

Santana

2017

Intercom, Rev. Bras. Ciênc. Comun.

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This study investigates the influence of sociodemographic variables (gender, age and schooling), family income, political attitudes (civic engagement and party preference) and the use of digital social media platforms on the online and offline political participation of voters of Salvador (in the state of Bahia, Brazil) during the 2014 presidential elections. The results of multinomial statistical analysis proved that social media engagement was determinant for online and offline political participation. On the other hand, a higher education was decisive for web participation. Multivariate analyses also confirmed the Reinforcement Hypothesis (DI GENNARO; DUTTON, 2006;NORRIS, 2001), evidencing that the most engaged voters in conventional participation used digital technologies to reinforce their participatory activity. The data of this study was obtained through household survey conducted in January 2015 in Salvador to investigate the use of Information and Communication Technologies (ICTs) in the electoral decision-making process.

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Approximating the Tetrachoric Correlation Coefficient

Cited by 85 publications

References 8 publications

Statistical Inference for Generalized Yule Coefficients in 2 × 2 Contingency Tables

Statistical Inference for Generalized Yule Coefficients in 2 × 2 Contingency Tables

Relationship between career aspirations and study behaviours among second year distance learners of the University of Cape Coast, Ghana

Participação política online e offline nas eleições presidenciais de 2014 em Salvador

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