|
Título:
|
Analysis of residuals in contingency tables: another nail in the coffin of conditional approaches to significance testing.
|
|
Autores:
|
García Pérez, Miguel Ángel ;
Núñez Antón, Vicente ;
Alcalá Quintana, Rocío
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
Psychonomic Society, 2015-03
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
info:eu-repo/semantics/restrictedAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Matemáticas: Estadística aplicada
,
Tipo = Artículo
|
|
Resumen:
|
Omnibus tests of significance in contingency tables use statistics of the chi-square type. When the null is rejected, residual analyses are conducted to identify cells in which observed frequencies differ significantly from expected frequencies. Residual analyses are thus conditioned on a significant omnibus test. Conditional approaches have been shown to substantially alter type I error rates in cases involving t tests conditional on the results of a test of equality of variances, or tests of regression coefficients conditional on the results of tests of heteroscedasticity. We show that residual analyses conditional on a significant omnibus test are also affected by this problem, yielding type I error rates that can be up to 6 times larger than nominal rates, depending on the size of the table and the form of the marginal distributions. We explored several unconditional approaches in search for a method that maintains the nominal type I error rate and found out that a bootstrap correction for multiple testing achieved this goal. The validity of this approach is documented for two-way contingency tables in the contexts of tests of independence, tests of homogeneity, and fitting psychometric functions. Computer code in MATLAB and R to conduct these analyses is provided as Supplementary Material.
|
|
En línea:
|
https://eprints.ucm.es/35687/1/analysis%20of%20residuals%20%20%20Garc%C3%ADa-P%C3%A9rez%20y%20Alcal%C3%A1-Quintana.pdf
|
