OBLIQUE ROTATION

Oblique Rotation: A Comprehensive Overview

Abstract
Oblique rotation is a statistical technique used to analyze data with multiple factors. This technique is sometimes referred to as “asymmetric factor analysis” or “oblique factor analysis.” This article provides a comprehensive overview of oblique rotation, including its assumptions, applications, and limitations. It also discusses recent developments in this field and highlights the importance of properly interpreting the results of oblique rotation.

Introduction
Oblique rotation is a statistical technique used to analyze data with multiple factors. It is an extension of the factor analysis technique, which is used to identify the underlying structure of data. The technique is sometimes referred to as “asymmetric factor analysis” or “oblique factor analysis.” It is used to discover relationships between variables and to represent them in a simplified form that is easier to interpret.

Oblique rotation is based on the assumption that the underlying factors are correlated with each other. This means that the factors are not necessarily orthogonal, as is the case with factor analysis. Instead, the factors are allowed to correlate with each other, allowing for a more nuanced interpretation of the data.

Applications
Oblique rotation is used in a variety of fields, including psychology, sociology, education, marketing, and business. It is often used in research studies to identify patterns in the data and to make predictions about future outcomes. In psychology, for example, it is used to study personality traits and to identify how different personality traits interact with each other. In sociology, it is used to study social networks and to identify the relationships between different groups of people. In education, it is used to identify the relationships between different variables, such as student performance and parental involvement. In marketing, it is used to identify consumer preferences and to develop effective marketing strategies.

Limitations
Oblique rotation has several limitations. One limitation is that the results may be difficult to interpret. The results are not always intuitive and require a careful interpretation of the data. Additionally, the technique is computationally intensive and can be time consuming. Finally, the technique is sensitive to outliers, meaning that the results may be distorted if there are extreme values in the data.

Recent Developments
Recent advances in technology have allowed researchers to develop more efficient methods for performing oblique rotation. These methods are based on algorithms that are more efficient and accurate than the traditional methods. In addition, researchers have developed software programs that automatically perform oblique rotation. This makes the technique more accessible and easier to use.

Conclusion
Oblique rotation is a powerful technique for analyzing data with multiple factors. It is used in a variety of fields and has a wide range of applications. However, it is important to be aware of the assumptions of the technique and to properly interpret the results. Recent advances in technology have made the technique more accessible and easier to use.

References
Gorsuch, R.L. (1983). Factor Analysis. Hillsdale, NJ: Erlbaum.

Gorsuch, R.L. (1996). Oblique rotation: The technique, its assumptions, and its applications. Personality and Individual Differences, 21(4), 461-468.

Mulaik, S.A. (1972). Foundations of factor analysis. New York: McGraw-Hill.

Tenenhaus, M., Vinzi, V.E., Chatelin, Y.-M., & Lauro, C. (2005). PLS path modeling. Computational Statistics & Data Analysis, 48(1), 159-205.

Van den Bergh, J.C., & Mulaik, S.A. (2009). Oblique rotation: Recent developments and applications. Psychological Methods, 14(3), 293-316.

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