ERIC Number: ED423303
Record Type: Non-Journal
Publication Date: 1998-Apr
Reference Count: N/A
Comparable Confidence Intervals for Multi-Sample and Replication Studies.
When the same parameters are estimated by data from several independent samples, it may happen that, for any pair of samples, even though the test for parameter discrepancy is statistically significant, the two individual confidence intervals overlap. To overcome this potential contradiction, a new type of one-sample confidence intervals is developed. Their evaluation will lead to the same statistical decisions reached by the two-sample test for parameter discrepancy. Moreover, the simultaneous decisions on parameter estimation, statistical inference, and directional prediction can be made with specified confidence coefficients and error rates by simply comparing a pair of comparable confidence intervals. In contrast with conventional confidence intervals, the comparable new confidence intervals have narrower widths, disjoint or overlap depending on whether the parameter discrepancy is statistically significant or not. The proposed procedure can be applied to both simple and multiple a-priori comparisons of means, proportions, and correlation coefficients. Due to its mathematical simplicity, the method should be valuable for research practitioners and quite suitable to be taught in courses of research methods in the behavioral and social sciences. An appendix explains the derivation of the formulas in Table 1. (Contains 3 tables and 49 references.) (Author/SLD)
Publication Type: Reports - Evaluative
Education Level: N/A
Sponsor: Social Sciences and Humanities Research Council of Canada, Ottawa (Ontario).
Authoring Institution: N/A