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08/09/2026

The math community is heated over questions about credit and AI training data after a mathematician's allegations against OpenAI went viral.

25/08/2026

Large multiple datasets were simulated through sampling, and regression modeling results were compared with known parameters—an analysis undertaken here for the first time on such a scale. The study demonstrates that the impact of multicollinearity on the quality of parameter estimates is far stro...

27/07/2025

The Krejcie-Morgan Table is a simple tool to help researchers determine the right sample size based on their total population. It’s widely used in academic studies because it removes the need for complex formulas. The table is based on a 95% confidence level and a 5% margin of error, standards in most research. For example, if your population is 1,000, the table suggests a sample size of 278. This makes it easier for researchers to plan reliable surveys or studies. The table was introduced by Krejcie and Morgan in 1970.

Krejcie & Morgan Sample Size Calculator Enter Population Size (N): Calculate Sample Size Recommended Sample Size (n): 📘 About T...

22/05/2023

The newest SmartPLS 4 release introduces a game-changing addition: CB-SEM (like in IBM® SPSS® Amos). https://www.smartpls.com/downloads Thereby, you can now estimate structural equation models using the covariance-based structural equation modeling approach (CB-SEM). You can also use this new feature to run a confirmatory factor analysis (CFA).

To get started easily and compare SmartPLS results with other software, there is a CB-SEM sample project that can be installed directly in the SmartPLS software. It contains the following models, which can be estimated immediately and provide results:
- Byrne textbook model for personal accomplishment
- Hair textbook model on job satisfaction and staying intentions
- Diamantopoupls-Siguaw textbook model on job satisfaction and customer focus
- Kline textbook model for job satisfaction
- a model with a formative measurement model from the MISQ article by Diamantopoulos

In addition outputting relevant results for model assessment and reporting, SmartPLS also includes bootstrapping for CB-SEM.

Finally, the CB-SEM world now has a software with a user-friendly graphical interface, which PLS-SEM users have been appreciating and loving for years. For a seamless transition, you can also import your old Amos projects into SmartPLS 4.

Download SmartPLS 4 now, and experience the power of the SmartPLS 4 user interface and discover a new world of doing your CB-SEM analyses.

02/08/2021

Statistical mediation is nothing more than variance partitioning without the validity of prior assumptions.

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