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A systematic approach to designing statistically powerful heteroscedastic 2 × 2 factorial studies while minimizing financial costs

Background The 2 × 2 factorial design is widely used for assessing the existence of interaction and the extent of generalizability of two factors where each factor had only two levels. Accordingly, research problems associated with the main effects and interaction effects can be analyzed with the selected linear contrasts. Methods To correct for the potential heterogeneity of...

Optimal sample sizes for precise interval estimation of Welch’s procedure under various allocation and cost considerations

Gwowen Shieh 0 Show-Li Jan 0 0 S.-L. Jan Department of Applied Mathematics, Chung Yuan Christian University , Chungli, Taiwan 32023 , Republic of China 1 ) Department of Management Science

Optimal sample sizes for Welch’s test under various allocation and cost considerations

Show-Li Jan 0 Gwowen Shieh 0 0 S.-L. Jan Department of Applied Mathematics, Chung Yuan Christian University , Chungli, Taiwan 32023 , Republic of China 1 ) Department of Management Science