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Full-Text Articles in Business
Testing The Mean For Business Data: Should One Use The Z-Test, T-Test, F-Test, The Chi-Square Test, Or The P-Value Method?, Jiajuan (John) Liang, William S. Pan
Testing The Mean For Business Data: Should One Use The Z-Test, T-Test, F-Test, The Chi-Square Test, Or The P-Value Method?, Jiajuan (John) Liang, William S. Pan
Marketing and Quantitative Analysis Faculty Publications
Purpose – The overall purpose of this research is to discuss the relationship among the tests for population mean that are taught in the Business Statistics course for business majors. Design/methodology/approach – The approach to this study is to describe the types of business data according to one-sample, two-sample, and multi-sample cases first and then combine tests for categorical data with tests for continuous data into a unified format on testing the mean of a population. Under this unified format, we summarize the methodology on the topic of testing the mean in business statistics course. Findings – One of the …
Generalized F-Tests For The Multivariate Normal Mean, Jiajuan (John) Liang, Man-Lai Tang
Generalized F-Tests For The Multivariate Normal Mean, Jiajuan (John) Liang, Man-Lai Tang
Marketing and Quantitative Analysis Faculty Publications
Based on Lauter's (Biometrics, 1996) exact t test for biometrical studies related to the multivariate normal mean, we develop a generalized F-test for the multivariate normal mean and extend it to multiple comparison. The proposed generalized F- tests have simple approximate null distributions. A Monte Carlo study and two real examples show that the generalized F-test is at least as good as the optional individual LÄauter's test and can improve its performance in some situations where the projection directions for the LÄauter's test may not be suitably chosen. It is discussed that the generalized F-test could be superior to individual …